CamPetro

Glossary

Every parameter, variable and curve used on this site, with one definition, symbol and unit each.

Alias dictionary method

A table that maps each known mnemonic of a curve family to one canonical name, usually with the expected units and a priority order for choosing among duplicates.

Used in: Curve Aliasing and Mnemonics, Mnemonic Conventions and Curve Families

Anisotropy ratio \(R_v/R_h\) variable

Ratio of vertical to horizontal resistivity. It is 1 in an isotropic rock and above 1 in laminated rock.

Units: dimensionless Typical range: 1 to 5

Used in: Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Apparent resistivity \(R_a\) variable

Resistivity read by an induction tool in a deviated well or dipping beds. It lies between the horizontal and the vertical resistivity.

Units: ohm·m

Used in: Horizontal and Vertical Resistivity Sw

Apparent water resistivity \(R_{wa}\) variable

Water resistivity back-calculated from a log reading by assuming the rock is 100% water-saturated. It equals Rw in a clean wet zone and exceeds it in hydrocarbon-bearing rock.

Units: ohm·m Also known as: Rwa, apparent Rw

Used in: Rw Determination

Archie water saturation \(S_{w,A}\) variable

Water saturation from the clean-rock Archie equation, which is used as a reference against the shaly-sand models.

Units: v/v Typical range: 0 to 1

Used in: Simandoux, Indonesian, Waxman-Smits, Lucia m

Axial stress at the wall \(\sigma_{z}\) variable

Total stress along the axis of a vertical well at the wall, the vertical stress corrected for the horizontal stress contrast.

Units: psi Typical range: 1000 to 30000

Used in: Near-Wellbore Stress State

Azimuth around the wellbore \(\theta\) variable

Angle measured around the wall of a vertical well from the direction of the maximum horizontal stress.

Units: deg Typical range: 0 to 180

Used in: Near-Wellbore Stress State

Bad hole concept

Borehole condition (washout, breakout, rugose wall, mudcake) that damages the contact between a pad tool and the formation and so the log reading.

Used in: Washout Identification and Repair, Caliper-Based Flags, Log-Quality Flags, Coal and Salt Identification, Repair: Null-Out, Repair: Machine-Learning Infill

Bad-hole flag \(F_{bh}\) variable

Indicator with value 1 where the borehole condition is judged to have damaged the log measurement and 0 elsewhere.

Used in: Washout Identification and Repair, Caliper-Based Flags, Log-Quality Flags, Coal and Salt Identification, Repair: Null-Out, Repair: Machine-Learning Infill

Biot coefficient \(\alpha\) parameter

Fraction of the pore pressure that acts as an effective stress reduction in a porous elastic rock. It is 1 for unconsolidated or very soft rock and falls toward the porosity for stiff, tight rock.

Units: dimensionless Typical range: 0.3 to 1.0 Also known as: Biot-Willis coefficient, effective stress coefficient

Used in: Geomechanics, Friction Angle, Biot Coefficient and Cohesion, Horizontal Stress Methods

Biot coefficient from moduli \(\alpha_{M}\) variable

Biot coefficient computed as one minus the ratio of drained bulk modulus to grain bulk modulus.

Units: dimensionless Typical range: 0.2 to 1.0

Used in: Friction Angle, Biot Coefficient and Cohesion

Biot coefficient from porosity \(\alpha_{K}\) variable

Biot coefficient estimated from total porosity with the Krief empirical frame-modulus relation.

Units: dimensionless Typical range: 0.1 to 0.8

Used in: Friction Angle, Biot Coefficient and Cohesion

Bit size \(d_{\mathrm{bit}}\) parameter

Nominal diameter of the drill bit for the interval, which is the borehole diameter in gauge hole.

Units: in Typical range: 4.75 to 17.5

Used in: Washout Identification and Repair, Caliper-Based Flags

Bound volume irreducible \(BVI\) variable

Part of the NMR porosity with a T2 shorter than the cutoff: the pore fluid that is held by capillary and clay-bound forces.

Units: v/v Typical range: 0.01 to 0.2 Also known as: BVI, MBVI

Used in: Swirr from NMR

Bound-water resistivity \(R_{wb}\) parameter

Resistivity of the water bound to clay surfaces in the dual-water model, at formation temperature. It is usually lower than the resistivity of the free formation water.

Units: ohm·m Typical range: 0.02 to 0.1

Used in: Water Saturation, Dual Water

Bound-water saturation \(S_{w,b}\) variable

Volume of clay-bound water as a fraction of the total pore volume. It is the clay volume times the total porosity of the clay, divided by total porosity.

Units: v/v Typical range: 0 to 0.5

Used in: Dual Water, Total vs Effective Sw

Bowers mudline velocity \(V_0\) parameter

Velocity of the virgin curve at zero effective stress, about 5000 ft/s in unconsolidated, water-saturated sediment.

Units: ft/s Typical range: 4500 to 5500

Used in: Bowers, Loading vs Unloading

Bowers parameter A \(A\) parameter

Coefficient in the virgin velocity-effective stress curve V = V0 + A sigma^B, with stress in psi and velocity in ft/s. Calibrated for each basin.

Units: ft/s per psi^B Typical range: 5 to 20

Used in: Bowers, Loading vs Unloading

Bowers parameter B \(B\) parameter

Exponent in the virgin velocity-effective stress curve. Calibrated for each basin.

Typical range: 0.6 to 0.9

Used in: Bowers, Loading vs Unloading

Bowers unloading parameter \(U\) parameter

Parameter of the unloading curve. Larger values mean a stronger hysteresis between the loading and unloading curves: velocity is retained to lower stress.

Typical range: 1 to 8

Used in: Bowers, Loading vs Unloading

Breakdown mud weight \(MW^{bd}\) variable

Breakdown pressure expressed as an equivalent mud weight.

Units: ppg Typical range: 10 to 25 Also known as: fracture initiation gradient

Used in: Breakout and Breakdown Pressures, Mud Weight Window

Breakdown pressure \(P_{w}^{bd}\) variable

Wellbore pressure at which the hoop stress at the wall first reaches the tensile strength and a fracture starts.

Units: psi Typical range: 2000 to 30000 Also known as: fracture initiation pressure

Used in: Wellbore Stability (1D Geomechanical Model), Breakout and Breakdown Pressures, Mud Weight Window

Brittleness index (brittle minerals) \(BI_{W}\) variable

Sum of quartz and dolomite volumes divided by the sum of quartz, dolomite, calcite, clay and organic volumes.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Brittleness index (modulus-based) \(BI_{R}\) variable

Mean of the normalised Young's modulus and the normalised Poisson's ratio. It is one of many brittleness definitions and has no absolute physical meaning.

Units: v/v Typical range: 0 to 1 Also known as: Rickman brittleness

Used in: Geomechanics, Brittleness Indices

Brittleness index (quartz fraction) \(BI_{J}\) variable

Quartz volume divided by the sum of quartz, calcite and clay volumes.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Brooks-Corey pore size distribution index \(\lambda\) parameter

Exponent that describes the spread of pore sizes. A large value means a narrow, uniform distribution and a flat capillary pressure plateau; a small value means a wide distribution.

Units: dimensionless Typical range: 0.5 to 4

Used in: Brooks-Corey

Bubble point pressure \(p_b\) variable

Pressure at which the first gas comes out of solution as pressure falls at constant temperature. Above it the oil is undersaturated.

Units: psia Also known as: Pb

Used in: Oil FVF and Bubble Point (Vasquez-Beggs)

Bulk density \(\rho_b\) curve

Formation bulk density measured by the density tool.

Units: g/cm³ Typical range: 1.8 to 3.0 Also known as: RHOB, DEN, RHOZ

Used in: Curve Aliasing and Mnemonics, Log Curve Cleanup, Unit Detection and Conversion, Neutron Tool Selection, Log-Quality Flags, Coal and Salt Identification, Repair: Null-Out, Repair: Machine-Learning Infill, Vclay from Neutron-Density, Vclay from Sonic-Density, TOC from Passey ΔlogR, TOC from Schmoker, TOC from Vernik, Density Porosity, Neutron-Density Porosity, Gas and Organic-Matter Corrections, Mineral Inversion, Inversion Endmember Parameters, Deterministic Rules from Crossplots, Unsupervised Clustering, Curve Selection and Missing Data, Shale Volume Options, Sand-Only Porosity and Resistivity, Overburden and Hydrostatic Pressure, Dynamic Elastic Moduli, Vertical Stress, Sonic-Derived Secondary Porosity

Bulk density (SI) \(\rho_{b,\mathrm{SI}}\) variable

Bulk density expressed in kg/m³, which is 1000 times the value in g/cm³. Some files and LWD tools deliver density this way.

Units: kg/m³ Typical range: 1500 to 3200

Used in: Unit Detection and Conversion

Bulk volume water \(\mathrm{BVW}\) variable

Volume of water per unit bulk volume of rock. It is the product of porosity and water saturation on the same basis.

Units: v/v Typical range: 0.02 to 0.3

Used in: Total vs Effective Sw, Foil and Buckles Models

Bulk volume water at irreducible saturation \(BVW_{irr}\) parameter

Effective porosity times irreducible water saturation. It is the Buckles number and is close to constant within one rock type at irreducible conditions.

Units: v/v Typical range: 0.005 to 0.10 Also known as: Buckles number, Buckles constant

Used in: Irreducible Water Saturation (Swirr), Swirr from Buckles, Swirr from Foil, Foil and Buckles Models

Calcite density endmember \(\rho_c\) parameter

Density response of pure calcite used as an inversion endmember.

Units: g/cm³ Typical range: 2.71 to 2.73

Used in: Mineral Inversion, Inversion Uncertainty and Confidence

Calcite U endmember \(U_c\) parameter

Volumetric photoelectric cross section of pure calcite.

Units: barns/cm³ Typical range: 13.5 to 14

Used in: Mineral Inversion, Inversion Uncertainty and Confidence

Calcite volume \(V_{cal}\) variable

Volume fraction of calcite in the rock, from mineral inversion or core.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Calcite volume (inversion) \(V_c\) variable

Volume of calcite per unit bulk volume from the three-component inversion example.

Units: v/v Typical range: 0 to 1

Used in: Mineral Inversion

Calcite volume standard deviation \(\sigma_{V_c}\) variable

Standard deviation of the inverted calcite volume caused by the log errors.

Units: v/v Typical range: 0.05 to 1

Used in: Inversion Uncertainty and Confidence

Caliper \(d_c\) curve

Measured borehole diameter.

Units: in Typical range: 6 to 20 Also known as: CALI, HCAL

Used in: Curve Aliasing and Mnemonics, Log Curve Cleanup, Unit Detection and Conversion, Caliper-Based Flags

Caliper (millimetres) \(d_{c,\mathrm{mm}}\) variable

Borehole diameter in millimetres. It equals the value in inches multiplied by 25.4.

Units: mm Typical range: 100 to 760

Used in: Unit Detection and Conversion

Caliper excess \(\Delta d\) variable

Measured caliper minus bit size. Positive values mean the hole is larger than the bit.

Units: in

Used in: Caliper-Based Flags

Caliper excess limit \(\Delta d_{\max}\) parameter

Largest caliper excess accepted before a sample is flagged as bad hole.

Units: in Typical range: 0.5 to 1.5

Used in: Washout Identification and Repair, Caliper-Based Flags

Caliper rugosity \(\mathcal{R}_c\) variable

Local roughness of the borehole wall, measured from the caliper either as a running standard deviation or as the deviation from a smooth trend.

Units: in

Used in: Caliper-Based Flags

Caliper rugosity limit \(\mathcal{R}_{c,\max}\) parameter

Largest caliper rugosity accepted before a sample is flagged as bad hole.

Units: in Typical range: 0.1 to 0.5

Used in: Washout Identification and Repair, Caliper-Based Flags

Caliper trend \(d_{\mathrm{trend}}\) variable

A smooth reference value for the caliper, such as a running median over several tens of feet, against which local deviations are measured.

Units: in

Used in: Caliper-Based Flags

Cation exchange capacity \(\mathrm{CEC}\) parameter

Number of exchangeable cations per unit mass of dry rock or clay, measured on core.

Units: meq/g Typical range: 0.05 to 1.0 (clay minerals)

Used in: Waxman-Smits

Cation exchange capacity per unit pore volume \(Q_v\) parameter

Cation exchange capacity of the rock per unit of total pore volume. It measures how much excess clay conductivity the rock has in the Waxman-Smits model.

Units: meq/mL Typical range: 0.0 to 1.5 Also known as: Qv

Used in: Water Saturation, Waxman-Smits

Cementation exponent \(m\) parameter

Exponent relating formation factor to porosity in Archie's equation.

Units: dimensionless Typical range: 1.6 to 2.5

Used in: Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Dual Water, Rw Determination, Cementation and Saturation Exponents, Rxo and Sxo, Horizontal and Vertical Resistivity Sw, Lucia m

Class imbalance concept

A large difference in the number of samples per facies. A classifier can reach a high overall accuracy while missing a rare facies altogether.

Used in: Lithofacies Modelling, Supervised Classification

Clay bulk density \(\rho_{b,clay}\) parameter

Bulk density read in 100% clay on the crossplot.

Units: g/cm³ Typical range: 2.2 to 2.7

Used in: Vclay from Neutron-Density, Vclay from Sonic-Density

Clay gamma ray \(\mathrm{GR}_{clay}\) parameter

Gamma ray value of a 100% clay (shale) interval. Picked once per zone and shared by all gamma-ray-based clay volume methods.

Units: gAPI Typical range: 90 to 200

Used in: Clay Volume, Vclay from GR (Linear Index), Vclay from GR (Larionov, Tertiary), Vclay from GR (Larionov, Older Rocks), Vclay from GR (Clavier), Vclay from GR (Stieber), Laminated Sand/Shale Analysis, Shale Volume Options

Clay neutron porosity \(\phi_{N,clay}\) parameter

Neutron porosity read in 100% clay, which is high because of hydrogen in bound water and hydroxyl groups.

Units: v/v Typical range: 0.25 to 0.50

Used in: Vclay from Neutron, Vclay from Neutron-Density, Vclay from Neutron-Sonic

Clay porosity \(\phi_{cl}\) parameter

Bound-water volume per unit volume of clay, that is the porosity of the wet clay.

Units: v/v Typical range: 0.1 to 0.4 Also known as: Shale porosity

Used in: Porosity, Total vs Effective Porosity

Clay resistivity \(R_{cl}\) parameter

Resistivity of the adjacent clay or shale used as the clay endmember in a shaly-sand equation, read from a thick shale on the deep resistivity.

Units: ohm·m Typical range: 1 to 10 Also known as: shale resistivity, Rsh

Used in: Water Saturation, Simandoux, Modified Simandoux, Indonesian

Clay slowness \(\Delta t_{clay}\) parameter

Compressional slowness read in 100% clay.

Units: µs/ft Typical range: 80 to 140

Used in: Vclay from Sonic-Density, Vclay from Neutron-Sonic

Clay SP \(\mathrm{SP}_{clay}\) parameter

SP value of the shale baseline, which is the reference for the clean-interval deflection.

Units: mV Typical range: -20 to 20

Used in: Vclay from SP

Clay volume \(V_{cl}\) variable

Volume fraction of clay minerals per unit bulk volume of rock.

Units: v/v Typical range: 0 to 1 Also known as: Vclay, VCL

Used in: Clay Volume, Vclay from GR (Linear Index), Vclay from GR (Larionov, Tertiary), Vclay from GR (Larionov, Older Rocks), Vclay from GR (Clavier), Vclay from GR (Stieber), Vclay from SP, Vclay from Neutron, Vclay from Neutron-Density, Vclay from Sonic-Density, Vclay from Neutron-Sonic, Porosity, Mineral Inversion, Total vs Effective Porosity, Water Saturation, Simandoux, Modified Simandoux, Indonesian, Dual Water, Total vs Effective Sw, Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values, Shale Volume Options, Pore Pressure, Brittleness Indices

Clay volume cutoff \(V_{cl,cut}\) parameter

Maximum clay volume for rock to count as reservoir. Used to flag gross reservoir.

Units: v/v Typical range: 0.25 to 0.50

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values

Clay-bound water volume \(V_{cbw}\) variable

Volume of water bound to clay per unit bulk volume of rock.

Units: v/v Typical range: 0 to 0.2

Used in: Total vs Effective Porosity

Clean gamma ray \(\mathrm{GR}_{clean}\) parameter

Gamma ray value of a clean (clay-free) reservoir interval. Picked once per zone and shared by all gamma-ray-based clay volume methods.

Units: gAPI Typical range: 10 to 50

Used in: Clay Volume, Vclay from GR (Linear Index), Vclay from GR (Larionov, Tertiary), Vclay from GR (Larionov, Older Rocks), Vclay from GR (Clavier), Vclay from GR (Stieber), Laminated Sand/Shale Analysis, Shale Volume Options

Clean neutron porosity \(\phi_{N,clean}\) parameter

Neutron porosity read in clean, clay-free rock, on the same lithology scale as the log.

Units: v/v Typical range: -0.05 to 0.15

Used in: Vclay from Neutron

Clean SP \(\mathrm{SP}_{clean}\) parameter

SP value in a thick, clean, water-bearing reservoir interval, read relative to the shale baseline.

Units: mV Typical range: -150 to -20

Used in: Vclay from SP

Clean-sand porosity \(\phi_{sa}\) parameter

Total porosity of the clean sand end member, the sand with no shale in it. It is the clean-sand vertex of the Thomas-Stieber diagram.

Units: v/v Typical range: 0.15 to 0.35

Used in: Laminated Sand/Shale Analysis, Thomas-Stieber, Triangulation, Horizontal and Vertical Resistivity Sw

Closure concept

The constraint that the component volumes add to one.

Coefficient of internal friction \(\mu\) variable

Tangent of the internal friction angle, the slope of the Mohr-Coulomb envelope. A value near 0.6 is common for frictional sliding on existing faults.

Units: dimensionless Typical range: 0.3 to 1.2 Also known as: mu

Used in: Friction Angle, Biot Coefficient and Cohesion, Horizontal Stress Methods

Cohesion \(S_{0}\) variable

Shear strength of the rock at zero normal stress on the Mohr-Coulomb envelope, computed here from UCS and the friction angle.

Units: MPa Typical range: 1 to 60

Used in: Geomechanics, Friction Angle, Biot Coefficient and Cohesion

Collapse mud weight \(MW^{sh}\) variable

Shear-failure wellbore pressure expressed as an equivalent mud weight.

Units: ppg Typical range: 6 to 16 Also known as: collapse gradient

Used in: Breakout and Breakdown Pressures, Mud Weight Window

Compaction constant \(C\) parameter

Empirical multiplier in the compaction factor. A value of 1 leaves the factor equal to the shale slowness divided by 100.

Typical range: 0.8 to 1.3

Used in: Sonic Porosity (Wyllie Time-Average)

Compaction factor \(C_p\) variable

Divisor applied to the time-average sonic porosity in uncompacted formations. It is never less than 1.

Typical range: 1 to 1.5

Used in: Sonic Porosity (Wyllie Time-Average)

Compaction length \(L_{c}\) parameter

Depth scale over which the bulk density approaches its deep value in the exponential density trend.

Units: ft Typical range: 2000 to 15000

Used in: Vertical Stress

Compressional slowness \(\Delta t\) curve

Interval transit time of the compressional wave measured by the sonic tool.

Units: µs/ft Typical range: 40 to 140 Also known as: DT, DTC, AC

Used in: Curve Aliasing and Mnemonics, Log Curve Cleanup, Unit Detection and Conversion, Log-Quality Flags, Coal and Salt Identification, Vclay from Sonic-Density, Vclay from Neutron-Sonic, TOC from Passey ΔlogR, TOC from Faust, Sonic Porosity (Wyllie Time-Average), Sonic Porosity (Raymer-Hunt-Gardner), Inversion Endmember Parameters, Curve Selection and Missing Data, Eaton (Sonic and Resistivity), Bowers, Equivalent Depth, Normal Compaction Trendlines, Greenberg-Castagna, Castagna, Brocher, Eskandari, Carroll, Dynamic Elastic Moduli, UCS Correlations, Sonic-Derived Secondary Porosity

Compressional slowness (SI) \(\Delta t_{\mathrm{SI}}\) variable

Compressional slowness expressed in µs/m. It equals the value in µs/ft divided by 0.3048.

Units: µs/m Typical range: 130 to 660

Used in: Unit Detection and Conversion

Compressional velocity \(V_{p}\) variable

Speed of the compressional wave, 304.8 divided by the compressional slowness in µs/ft.

Units: km/s Typical range: 2.5 to 6.5 Also known as: Vp, P-wave velocity

Used in: Geomechanics, Dynamic Elastic Moduli, Friction Angle, Biot Coefficient and Cohesion

Compressional velocity in ft/s \(V\) variable

Compressional velocity, 10^6 divided by the slowness in µs/ft. Bowers' relations are written in ft/s.

Units: ft/s Typical range: 6000 to 16000

Used in: Bowers

Compressional velocity in km/s \(V_p\) variable

Compressional velocity in kilometres per second, 304.8 divided by the slowness in µs/ft. Most published Vp-Vs regressions use these units.

Units: km/s Typical range: 1.5 to 7 Also known as: Vp

Used in: Shear Log Modeling, Greenberg-Castagna, Castagna, Brocher, Eskandari, Carroll

Condition number \(\kappa\) concept

Ratio of the largest to the smallest singular value of the weighted inversion matrix. A large value means small log errors produce large volume errors.

Typical range: 1 to 1000

Used in: Inversion Uncertainty and Confidence

Confusion matrix concept

Table of true classes against predicted classes. The diagonal counts correct samples, and the off-diagonal cells show which classes are mistaken for which.

Used in: Lithofacies Modelling, Supervised Classification

Conventional water saturation \(S_{w,conv}\) variable

Water saturation from the bulk porosity and the unseparated horizontal resistivity, with no laminated-shale correction. It is shown for comparison.

Units: v/v Typical range: 0 to 1

Used in: Horizontal and Vertical Resistivity Sw

Corey exponent for oil \(n_o\) parameter

Exponent of the normalized mobile oil saturation in the power-law oil relative permeability.

Units: dimensionless Typical range: 1 to 6

Used in: Power Law, Fractional Flow

Corey exponent for water \(n_w\) parameter

Exponent of the normalized mobile water saturation in the power-law water relative permeability.

Units: dimensionless Typical range: 1 to 6

Used in: Power Law, Fractional Flow

Cumulative flow capacity fraction \(FC\) variable

Cumulative permeability-thickness divided by its total, accumulated from the highest permeability downward.

Units: fraction Typical range: 0 to 1

Used in: Choosing Cutoff Curves and Values

Cumulative storage capacity fraction \(SC\) variable

Cumulative porosity-thickness divided by its total, accumulated from the highest permeability downward.

Units: fraction Typical range: 0 to 1

Used in: Choosing Cutoff Curves and Values

Curve family concept

A group of curves that measure the same physical quantity, such as bulk density, deep resistivity or compressional slowness, whatever their mnemonics, tools or processing versions.

Used in: Curve Aliasing and Mnemonics, Mnemonic Conventions and Curve Families

Curve mnemonic concept

The short name a curve carries in a log file. It identifies the measurement only by convention, and the convention varies between vendors, tool generations and processing houses.

Used in: Curve Aliasing and Mnemonics, Mnemonic Conventions and Curve Families

Curve splice method

The merging of curves from several runs or passes into one continuous curve, after depth-matching them and deciding what to do with the overlap.

Used in: Curve Aliasing and Mnemonics, Curve Splicing and Merging

Curve value before normalization \(x_{\mathrm{in}}\) variable

The value of the curve being normalized, in its own units, before any shift or scale is applied.

Used in: Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value

Data leakage concept

Information from the test samples reaching the model during training, which makes a validation score look better than the model's real performance.

Used in: Washout Identification and Repair, Repair: Machine-Learning Infill

Deep asymptotic bulk density \(\rho_{\infty}\) parameter

Bulk density the compaction trend approaches at great depth.

Units: g/cm³ Typical range: 2.3 to 2.8

Used in: Vertical Stress

Deep-compaction slowness \(\Delta t_{\infty}\) parameter

Slowness that the sonic normal compaction trendline approaches at great depth, the fully compacted shale value.

Units: µs/ft Typical range: 45 to 70

Used in: Equivalent Depth, Normal Compaction Trendlines

Density at first clean point \(\rho_{b,A}\) parameter

Bulk density of the first of two points that define the clean-rock line on a crossplot, usually the matrix end of the line.

Units: g/cm³ Typical range: 2.55 to 2.75

Used in: Vclay from Neutron-Density, Vclay from Sonic-Density

Density at second clean point \(\rho_{b,B}\) parameter

Bulk density of the second point on the clean-rock line, at a higher porosity than the first.

Units: g/cm³ Typical range: 2.0 to 2.4

Used in: Vclay from Neutron-Density, Vclay from Sonic-Density

Density baseline \(\rho_{b,base}\) parameter

Bulk density read in the same organic-lean shale used for the resistivity baseline.

Units: g/cm³ Typical range: 2.4 to 2.8

Used in: TOC Analysis, TOC from Passey ΔlogR

Density correction \(\Delta\rho\) curve

Correction that the density tool applies for mudcake and standoff. A large correction means poor pad contact and an unreliable density.

Units: g/cm³ Typical range: -0.05 to 0.05 Also known as: DRHO, HDRA

Used in: Log-Quality Flags

Density log uncertainty \(\sigma_{\rho}\) parameter

Standard deviation of the error assigned to the bulk density in an inversion.

Units: g/cm³ Typical range: 0.01 to 0.05

Used in: Inversion Uncertainty and Confidence, Inversion Model-Error QC

Density porosity \(\phi_D\) variable

Porosity from the bulk density log, assuming a known matrix density and fluid density.

Units: v/v Typical range: 0 to 0.40

Used in: Density Porosity, Neutron-Density Porosity, Gas and Organic-Matter Corrections, Shale Volume Options, Sand-Only Porosity and Resistivity, Sonic-Derived Secondary Porosity

Density residual \(r_{\rho}\) variable

Measured bulk density minus the density predicted by the inversion model.

Units: g/cm³ Typical range: -0.1 to 0.1

Used in: Inversion Model-Error QC

Depth of top of density log \(z_t\) parameter

True vertical depth where the density log starts. Overburden above it has to be extrapolated.

Units: ft Typical range: 0 to 5000

Used in: Overburden and Hydrostatic Pressure

Depth reference concept

The zero point of a depth scale, such as kelly bushing, drill floor, ground level or mean sea level. Curves and tops measured from different references differ by a constant.

Also known as: KB, DF, GL, datum

Used in: Log Curve Cleanup, Depth Reference and Sampling Checks

Depth reference elevation \(z_{KB}\) parameter

Elevation of the depth reference (kelly bushing or rotary table) above mean sea level, used to convert true vertical depth to subsea depth.

Units: ft Typical range: 0 to 300 Also known as: KB

Used in: Free Water Level and Column Height

Depth shift parameter

A constant (or slowly varying) correction added to the depths of one run or curve so that its features line up with a reference curve.

Units: ft or m Typical range: -5 to 5

Used in: Curve Aliasing and Mnemonics

Depth-block cross-validation method

Cross-validation in which each fold is a contiguous depth interval, so that neighbouring samples of the same bed are never split between training and test data.

Used in: Lithofacies Modelling, Supervised Classification

Disequilibrium compaction concept

Overpressure caused by rapid burial: pore fluid cannot escape fast enough, so it carries part of the overburden and the rock stays less compacted than its depth implies. Effective stress stays on the loading curve.

Used in: Pore Pressure

Dispersed shale concept

Shale (clay) that fills the pore space of the sand, so that porosity falls as shale volume rises.

Used in: Laminated Sand/Shale Analysis, Thomas-Stieber

Dispersed shale volume \(V_{disp}\) variable

Volume of dispersed shale, as a fraction of bulk volume.

Units: v/v Typical range: 0 to 1

Used in: Laminated Sand/Shale Analysis, Triangulation

Dolomite fraction \(X_{dol}\) parameter

Volume fraction of dolomite used to weight the lithology lines.

Units: v/v Typical range: 0 to 1

Used in: Greenberg-Castagna

Dolomite volume \(V_{dol}\) variable

Volume fraction of dolomite in the rock, from mineral inversion or core.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Dolomite-line shear velocity \(V_{s,dol}\) variable

Shear velocity from the dolomite regression at the measured Vp.

Units: km/s

Used in: Greenberg-Castagna

Drainage area \(A\) parameter

Map area over which a per-unit-area volume is multiplied to give a total. It is a mapping or drainage-area input, not a log result.

Units: acres Typical range: 10 to 5000

Used in: Volumetrics, OOIP and OGIP

Drained bulk modulus \(K_{dry}\) variable

Bulk modulus of the dry rock frame, at constant pore pressure.

Units: GPa Typical range: 5 to 50

Used in: Friction Angle, Biot Coefficient and Cohesion

Dynamic bulk modulus \(K\) variable

Resistance to uniform compression computed from density, compressional and shear velocity at sonic frequencies.

Units: GPa Typical range: 8 to 60

Used in: Dynamic Elastic Moduli

Dynamic Poisson's ratio \(\nu_{d}\) variable

Ratio of lateral contraction to axial extension in uniaxial loading, computed from the velocity ratio.

Units: dimensionless Typical range: 0.10 to 0.40 Also known as: dynamic Poisson ratio

Used in: Geomechanics, Dynamic Elastic Moduli

Dynamic shear modulus \(G\) variable

Resistance to shear deformation computed from density and shear velocity at sonic frequencies, G = rho Vs squared.

Units: GPa Typical range: 5 to 40 Also known as: rigidity, mu (modulus)

Used in: Dynamic Elastic Moduli

Dynamic Young's modulus \(E_{d}\) variable

Ratio of axial stress to axial strain in uniaxial loading, computed from the sonic and density logs. It is higher than the static value measured on core.

Units: GPa Typical range: 10 to 100

Used in: Geomechanics, Dynamic Elastic Moduli, Static vs Dynamic Moduli

Eaton exponent for resistivity \(x_r\) parameter

Exponent on the ratio of observed to normal resistivity in the Eaton resistivity equation. 1.2 is the usual starting value; it is calibrated for each basin.

Typical range: 0.8 to 1.5

Used in: Eaton (Sonic and Resistivity)

Eaton exponent for sonic \(x_s\) parameter

Exponent on the ratio of normal to observed slowness in the Eaton sonic equation. 3 is the usual starting value; it is calibrated for each basin.

Typical range: 2 to 4

Used in: Eaton (Sonic and Resistivity)

Effective hoop stress at the wall \(\sigma_{\theta}'\) variable

Hoop stress at the wall minus the pore pressure.

Units: psi Typical range: -2000 to 25000

Used in: Near-Wellbore Stress State

Effective porosity \(\phi_e\) variable

Pore volume per unit bulk volume excluding clay-bound water.

Units: v/v Typical range: 0 to 0.35 Also known as: PHIE

Used in: Porosity, Total vs Effective Porosity, Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Rw Determination, Cementation and Saturation Exponents, Rxo and Sxo, Total vs Effective Sw, Irreducible Water Saturation (Swirr), Swirr from Buckles, Swirr from RQI, Permeability, Coates, Heslop, Porosity-Permeability Transforms, Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values, Volumetrics, OOIP and OGIP, Pore Volume, HCPV, PHIH and KH, Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models, Foil and Buckles Models, Hydraulic Flow Units and Winland R35

Effective water saturation \(S_{w,e}\) variable

Water volume that excludes clay-bound water, as a fraction of the effective pore volume.

Units: v/v Typical range: 0 to 1 Also known as: Sw effective, SwE

Used in: Water Saturation, Dual Water, Total vs Effective Sw

End-point mobility ratio \(M\) variable

Mobility of the displacing water at its endpoint divided by the mobility of the displaced oil at its endpoint. Above 1 the displacement is unfavourable.

Units: dimensionless Typical range: 0.1 to 50

Used in: Fractional Flow

Endmember concept

The log response of a pure component, a mineral or a fluid, used as a column of the inversion matrix.

Environmental correction chart concept

A vendor chart or algorithm that removes the effect of hole size, mud, temperature, pressure, standoff and salinity from a log reading. Neutron logs need a chart that matches the exact tool.

Used in: Log Curve Cleanup, Neutron Tool Selection

Equivalent counterion conductance \(B\) parameter

Equivalent conductance of the clay counterions in the Waxman-Smits model. It depends on temperature and on water salinity.

Units: (S/m)/(meq/mL) Typical range: 3 to 25

Used in: Waxman-Smits

Equivalent depth \(z_e\) variable

Depth in normally compacted shale at which the log property equals its observed value, and so where the effective stress equals the effective stress at the observed depth.

Units: ft Typical range: 0 to 15000

Used in: Equivalent Depth

Equivalent mud filtrate resistivity \(R_{mfe}\) variable

Mud filtrate resistivity converted to the value that gives the same electrochemical potential in the SP equation.

Units: ohm·m

Used in: Rw Determination

Equivalent mud weight \(\mathrm{EMW}\) variable

A pressure expressed as the density of drilling fluid that would exert it at the depth: pressure divided by 0.052 times the true vertical depth in feet.

Units: ppg Typical range: 8.3 to 20 Also known as: EMW, pressure gradient in ppg

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Bowers, Equivalent Depth, Overburden and Hydrostatic Pressure

Equivalent mud weight \(\rho_{eq}\) variable

Pressure at a depth expressed as the density of a mud column that would balance it, using 0.052 psi per foot for each pound per gallon.

Units: ppg Typical range: 8.3 to 18

Used in: Reservoir Pressure and Temperature

Equivalent mud weight from resistivity variable

Resistivity pore pressure expressed as an equivalent mud weight.

Units: ppg

Used in: Eaton (Sonic and Resistivity)

Equivalent mud weight from sonic variable

Sonic pore pressure expressed as an equivalent mud weight.

Units: ppg

Used in: Eaton (Sonic and Resistivity)

Equivalent water resistivity \(R_{we}\) variable

Formation water resistivity converted to the value that gives the same electrochemical potential in the SP equation. Rw is read from it with a chart or fit.

Units: ohm·m

Used in: Rw Determination

Excess pressure \(\Delta p_{ex}\) parameter

Pore pressure above the hydrostatic value at the same depth. Zero for a normally pressured interval.

Units: psi Typical range: 0 to 10000

Used in: Reservoir Pressure and Temperature

Facies code variable

Integer label given to each depth sample, standing for one lithofacies or one cluster. A code means nothing until it is tied to a named facies.

Used in: Lithofacies Modelling, Deterministic Rules from Crossplots, Unsupervised Clustering, Supervised Classification, Curve Selection and Missing Data

Faust multiplier \(F_m\) parameter

Scaling factor that converts the sonic porosity separation to TOC. It is fitted to core TOC.

Units: dimensionless Typical range: 0.05 to 1

Used in: TOC from Faust

Faust sonic \(\Delta t_F\) variable

Compressional slowness predicted from resistivity and depth with Faust's empirical velocity-resistivity relation.

Units: µs/ft Typical range: 40 to 140

Used in: TOC from Faust

Flow zone indicator \(FZI\) variable

Reservoir quality index divided by normalized porosity. Points of one hydraulic flow unit share a similar value.

Units: µm Typical range: 0.1 to 10 Also known as: FZI

Used in: Swirr from RQI, Hydraulic Flow Units and Winland R35

Fluid density contrast \(\Delta\rho\) variable

Brine density minus hydrocarbon density at reservoir conditions. Multiplied by the freshwater pressure gradient of 0.433 psi/ft it gives the buoyancy gradient of the column.

Units: g/cm³ Typical range: 0.1 to 0.9

Used in: Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models, Free Water Level and Column Height

Fluid pressure gradient \(G_p\) parameter

Pressure increase per foot of true vertical depth in a static water column. About 0.433 psi/ft for fresh water and 0.465 psi/ft for a typical formation brine.

Units: psi/ft Typical range: 0.43 to 0.52

Used in: Reservoir Pressure and Temperature

Fluid slowness \(\Delta t_w\) parameter

Compressional slowness of the pore fluid, usually water.

Units: µs/ft Typical range: 180 to 200

Used in: TOC from Faust, Porosity, Sonic Porosity (Wyllie Time-Average), Sonic Porosity (Raymer-Hunt-Gardner), Gas and Organic-Matter Corrections, Carbonate Analysis, Sonic-Derived Secondary Porosity

Fluid U endmember \(U_f\) parameter

Volumetric photoelectric cross section of the pore fluid. It is small and depends on salinity.

Units: barns/cm³ Typical range: 0.1 to 1

Used in: Mineral Inversion, Inversion Uncertainty and Confidence

Flushed-zone resistivity \(R_{xo}\) curve

Resistivity of the zone flushed by mud filtrate near the borehole.

Units: ohm·m Typical range: 0.2 to 500 Also known as: RXO, MSFL

Used in: Water Saturation, Rxo and Sxo

Flushed-zone water saturation \(S_{xo}\) variable

Water saturation of the zone next to the borehole that mud filtrate has flushed. It is 1 minus the sum of the residual and any bypassed hydrocarbon saturations.

Units: v/v Typical range: 0.2 to 1

Used in: Water Saturation, Rxo and Sxo, Relative Permeability, Irreducible and Residual Saturations

Formation conductivity \(\sigma\) variable

Formation conductivity as delivered by induction tools, in millisiemens per metre (the same number as mmho/m). It is 1000 divided by the resistivity in ohm·m.

Units: mS/m Typical range: 1 to 5000 Also known as: CILD, mmho/m

Used in: Unit Detection and Conversion

Formation factor \(F\) variable

Ratio of the resistivity of a rock fully saturated with water to the resistivity of that water.

Units: dimensionless Typical range: 5 to 200

Used in: Archie, Cementation and Saturation Exponents

Formation temperature \(T_f\) variable

Temperature of the formation at the depth of interest, from bottom-hole temperature corrected to equilibrium or from a geothermal gradient.

Units: °F Typical range: 75 to 350

Used in: Waxman-Smits, Rw Determination, Volumetrics, Oil FVF and Bubble Point (Vasquez-Beggs), Gas FVF and Z-Factor, Reservoir Pressure and Temperature

Formation water resistivity \(R_w\) parameter

Resistivity of the formation water at formation temperature.

Units: ohm·m Typical range: 0.02 to 2 Also known as: RW

Used in: Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Dual Water, Waxman-Smits, Rw Determination, Rxo and Sxo, Horizontal and Vertical Resistivity Sw, Lucia m

Fractional flow of water \(f_w\) variable

Fraction of the total flowing volume that is water, at a given water saturation, neglecting gravity and capillary pressure.

Units: v/v Typical range: 0 to 1 Also known as: fw

Used in: Relative Permeability, Fractional Flow

Free fluid index \(FFI\) variable

Part of the NMR porosity with a T2 longer than the cutoff: the movable fluid. The sum of BVI and FFI is the NMR porosity.

Units: v/v Typical range: 0 to 0.3 Also known as: FFI, MFFI

Used in: Swirr from NMR

Free water level \(z_{FWL}\) variable

Depth at which the capillary pressure is zero and the water and hydrocarbon pressures are equal. Below it the rock is water-saturated; above it the hydrocarbon column builds capillary pressure.

Units: ft Also known as: FWL

Used in: SwH Analysis, Permeability-Based and RQI/FZI Models, Free Water Level and Column Height

Friction angle from porosity (sandstone) \(\varphi_{WP}\) variable

Internal friction angle estimated from porosity with a linear relation published for sandstones.

Units: deg Typical range: 20 to 55

Used in: Friction Angle, Biot Coefficient and Cohesion

Friction angle from Vp (shale) \(\varphi_{L}\) variable

Internal friction angle estimated from the compressional velocity with a relation published for shales.

Units: deg Typical range: 20 to 45

Used in: Friction Angle, Biot Coefficient and Cohesion

Friction factor \(q\) variable

Ratio of the largest to smallest effective principal stress at Mohr-Coulomb failure, (1 + sin phi) / (1 - sin phi).

Units: dimensionless Typical range: 1.7 to 7.5

Used in: Friction Angle, Biot Coefficient and Cohesion, Horizontal Stress Methods, Breakout and Breakdown Pressures, Mud Weight Window

Gamma ray \(\mathrm{GR}\) curve

Natural gamma radiation measured by the logging tool, mainly from potassium, uranium and thorium in clays and other minerals.

Units: gAPI Typical range: 10 to 250 Also known as: GR, SGR, GRC

Used in: Curve Aliasing and Mnemonics, Coal and Salt Identification, Repair: Regression-Based, Vclay from GR (Linear Index), Vclay from GR (Larionov, Tertiary), Vclay from GR (Larionov, Older Rocks), Vclay from GR (Clavier), Vclay from GR (Stieber), Deterministic Rules from Crossplots, Unsupervised Clustering, Curve Selection and Missing Data, Shale Volume Options

Gamma ray index \(I_{GR}\) variable

Linear scaling of the gamma ray between the clean and clay values, clamped to the interval 0 to 1.

Units: v/v Typical range: 0 to 1

Used in: Clay Volume, Vclay from GR (Linear Index), Vclay from GR (Larionov, Tertiary), Vclay from GR (Larionov, Older Rocks), Vclay from GR (Clavier), Vclay from GR (Stieber)

Gas compressibility factor \(Z\) variable

Ratio of the real gas volume to the ideal gas volume at the same pressure and temperature.

Units: dimensionless Typical range: 0.7 to 1.4 Also known as: Z-factor, gas deviation factor

Used in: Volumetrics, Gas FVF and Z-Factor

Gas formation volume factor \(B_g\) variable

Volume of gas at reservoir pressure and temperature that expands to one standard cubic foot at surface conditions.

Units: rcf/scf Typical range: 0.002 to 0.02 Also known as: Bg, FVF gas

Used in: Volumetrics, OOIP and OGIP, Gas FVF and Z-Factor

Gas gravity \(\gamma_g\) variable

Gas density relative to air at the same conditions. In the oil correlations it is the gravity of the solution gas, referred to a separator pressure of 100 psig.

Units: air = 1 Typical range: 0.55 to 1.3

Used in: Volumetrics, Oil FVF and Bubble Point (Vasquez-Beggs), Gas FVF and Z-Factor

Gas in place per acre \(G_A\) variable

Surface-condition gas originally in place under one acre of the evaluated interval, from net thickness, porosity, water saturation and gas formation volume factor.

Units: Mscf/acre Typical range: 1000 to 200000

Used in: Volumetrics, OOIP and OGIP

Geothermal gradient \(G_T\) parameter

Temperature increase per 100 ft of true vertical depth. Typical sedimentary basins are 1 to 2 °F per 100 ft, with wide local variation.

Units: °F/100 ft Typical range: 0.8 to 2.5

Used in: Reservoir Pressure and Temperature

Grain bulk modulus \(K_{g}\) parameter

Bulk modulus of the solid mineral grains, about 37 GPa for quartz and 70 GPa for calcite.

Units: GPa Typical range: 20 to 80

Used in: Friction Angle, Biot Coefficient and Cohesion

Gross reservoir flag \(F_{g}\) variable

One where the rock passes the lithology test (clay volume at or below its cutoff) and is a candidate reservoir, otherwise zero.

Units: 0 or 1

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay

Hampel filter method

A despiking filter that replaces a sample with the local median only when it is further from that median than a chosen number of scaled median absolute deviations.

Also known as: Hampel identifier

Used in: Log Curve Cleanup, Spike Removal and Filtering

Height above free water level \(h\) variable

Vertical distance above the free water level at which the irreducible water saturation is evaluated. For the Swirr result it is normally the maximum column height of the reservoir.

Units: ft Typical range: 10 to 1500

Used in: Irreducible Water Saturation (Swirr), Swirr from Foil, Swirr from Lucia, Carbonate Analysis, Lucia Permeability, Swirr and Sw

Height above free water level \(h\) variable

Vertical distance of a depth above the free water level. It sets the capillary pressure that the hydrocarbon column exerts on the pores.

Units: ft Typical range: 0 to 1000

Used in: Lucia, Carbonate Analysis, Lucia Permeability, Swirr and Sw, SwH Analysis, Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models, Foil and Buckles Models, Free Water Level and Column Height

Height of constant bulk volume water \(h_{B}\) variable

Height above the free water level at which the height-dependent bulk volume water has fallen to the Buckles number. Above it the Buckles model treats the rock as being at irreducible saturation.

Units: ft

Used in: Foil and Buckles Models

Height of the entry pressure \(h_e\) variable

Height above the free water level at which the buoyancy pressure of the hydrocarbon column equals the entry pressure. Below it the rock stays at 100% water saturation, so it is the height of the oil-water contact above the free water level.

Units: ft Typical range: 0 to 200

Used in: Permeability-Based and RQI/FZI Models, Free Water Level and Column Height

Height-BVW coefficient a \(a_h\) parameter

Multiplier of the power law that relates bulk volume water to height above the free water level. Fitted to data; no universal value.

Units: v/v at h = 1 ft

Used in: Swirr from Foil, Foil and Buckles Models

Height-BVW exponent b \(b_h\) parameter

Exponent of the power law that relates bulk volume water to height above the free water level. Negative, because water volume falls with height.

Units: dimensionless Typical range: -0.3 to -0.05

Used in: Swirr from Foil, Foil and Buckles Models

Hoop stress at the wall \(\sigma_{\theta}\) variable

Total circumferential stress at the wellbore wall at a given azimuth, from the Kirsch solution.

Units: psi Typical range: 0 to 30000 Also known as: tangential stress

Used in: Near-Wellbore Stress State

Horizontal resistivity \(R_h\) variable

Resistivity measured with current flowing along the bedding. In a laminated sequence the shale laminae pull it down toward the shale resistivity.

Units: ohm·m Typical range: 0.5 to 100

Used in: Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Horizontal shale resistivity \(R_{sh,h}\) parameter

Resistivity of the pure shale for current flowing along the bedding.

Units: ohm·m Typical range: 1 to 10

Used in: Laminated Sand/Shale Analysis, Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Horizontal stress ratio \(R_{H}\) parameter

Ratio of effective maximum to effective minimum horizontal stress, (SH minus Pp) divided by (Sh minus Pp). It is 1 when the horizontal stresses are equal.

Units: dimensionless Typical range: 1.0 to 2.0

Used in: Mud Weight Window

Hydraulic flow unit concept

Interval of rock with similar pore geometry, and so a similar flow zone indicator, capillary pressure behaviour and porosity-permeability relation.

Also known as: HFU, flow unit

Used in: Hydraulic Flow Units and Winland R35

Hydrocarbon pore thickness \(\mathrm{HCPV}\) variable

Sum over the net intervals of thickness times porosity times hydrocarbon saturation. It is the hydrocarbon pore volume per unit area expressed as a length.

Units: ft Also known as: HCPV, hydrocarbon pore volume, phi-h-So

Used in: Volumetrics, Pore Volume, HCPV, PHIH and KH

Hydrostatic gradient \(G_h\) parameter

Pressure increase per unit depth in a column of formation water. About 0.433 psi/ft for fresh water and up to about 0.465 psi/ft for saline brine.

Units: psi/ft Typical range: 0.433 to 0.465

Used in: Equivalent Depth, Overburden and Hydrostatic Pressure

Hydrostatic pressure \(P_h\) variable

Pressure of a continuous column of water from the surface to the depth: the water gradient times the true vertical depth.

Units: psi Typical range: 0.433 to 0.465 psi/ft times depth Also known as: Ph

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Equivalent Depth, Overburden and Hydrostatic Pressure

Hydrostatic pressure in ppg variable

Hydrostatic pressure as an equivalent mud weight.

Units: ppg Typical range: 8.3 to 9.0

Used in: Overburden and Hydrostatic Pressure

Inorganic shale density \(\rho_{b,s}\) parameter

Bulk density of the rock with no kerogen, used as the matrix end of the density mixing relation for kerogen.

Units: g/cm³ Typical range: 2.55 to 2.85

Used in: TOC from Vernik

Interfacial tension times cosine of contact angle \(\sigma\cos\theta\) parameter

Product of the interfacial tension and the cosine of the contact angle for the reservoir fluid pair. It converts capillary pressure to pore throat size and scales the J-function. About 26 dyne/cm for oil and water with 30 dyne/cm and 30 degrees.

Units: dyne/cm Typical range: 10 to 60

Used in: Permeability-Based and RQI/FZI Models

Internal friction angle \(\varphi\) variable

Angle of the Mohr-Coulomb failure envelope, from triaxial tests or a log correlation. Its tangent is the coefficient of internal friction.

Units: deg Typical range: 15 to 50 Also known as: angle of internal friction, IFA

Used in: Geomechanics, Friction Angle, Biot Coefficient and Cohesion, Breakout and Breakdown Pressures, Mud Weight Window

Interparticle porosity \(\phi_{ip}\) variable

Porosity between grains or crystals of a carbonate, excluding separate vugs. Fluid flow and capillary behaviour are controlled by it.

Units: v/v Typical range: 0.02 to 0.35

Used in: Carbonate Analysis, Lucia Rock Fabric Number, Sonic-Derived Secondary Porosity, Lucia Permeability, Swirr and Sw

Inversion average error \(E_{avg}\) variable

Total error divided by the number of active curves. A value near 1 means the misfit is at the level of the assigned uncertainties.

Typical range: 0 to 3

Used in: Inversion Model-Error QC

Inversion RMS error \(E_{rms}\) variable

Root-mean-square of the residuals of the active curves, each divided by its uncertainty.

Typical range: 0 to 3

Used in: Inversion Model-Error QC

Inversion total error \(E_{tot}\) variable

Sum of the absolute residuals of the active curves, each divided by its uncertainty.

Typical range: 0 to 10

Used in: Inversion Model-Error QC

Irreducible water saturation \(S_{wirr}\) variable

Water saturation that remains in the pore space and cannot be displaced by hydrocarbon at the pressure reached.

Units: v/v Typical range: 0.05 to 0.5 Also known as: SWIRR, BVI

Used in: Irreducible Water Saturation (Swirr), Swirr from Buckles, Swirr from Foil, Swirr from Permeability, Swirr from RQI, Swirr from Lucia, Swirr from NMR, Permeability, Wyllie-Rose, Coates, Timur, Tixier, Heslop, Choosing Cutoff Curves and Values, Carbonate Analysis, Lucia Permeability, Swirr and Sw, SwH Analysis, Permeability-Based and RQI/FZI Models, Foil and Buckles Models, Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

J-Sw coefficient a \(a_J\) parameter

Multiplier of the power law J = a (Sw,n)^b. It is the value of J at a normalized water saturation of 1, so it is an entry-pressure scale. Fitted to core capillary pressure.

Units: dimensionless Typical range: 0.02 to 0.5

Used in: Permeability-Based and RQI/FZI Models

J-Sw exponent b \(b_J\) parameter

Exponent of the power law J = a (Sw,n)^b. It is negative, and equals minus the inverse of the Brooks-Corey pore size distribution index. Fitted to core capillary pressure.

Units: dimensionless Typical range: -3 to -0.3

Used in: Permeability-Based and RQI/FZI Models

k-means clustering method

Unsupervised method that splits samples into k groups by repeatedly assigning each sample to the nearest group centre and moving each centre to the mean of its members.

Used in: Lithofacies Modelling, Unsupervised Clustering

Kerogen as density porosity \(\phi_{D,k}\) parameter

The density porosity that pure kerogen would read, computed from the matrix, kerogen and fluid densities.

Units: v/v Typical range: 0.7 to 0.95

Used in: Gas and Organic-Matter Corrections

Kerogen carbon fraction \(f_C\) parameter

Weight fraction of carbon in kerogen. It converts between kerogen weight fraction and TOC.

Units: wt fraction Typical range: 0.6 to 0.9

Used in: TOC Analysis, TOC from Vernik, Kerogen Volume and Maturity

Kerogen density \(\rho_k\) parameter

Bulk density of kerogen. It rises with maturity.

Units: g/cm³ Typical range: 1.1 to 1.4

Used in: TOC Analysis, TOC from Vernik, Kerogen Volume and Maturity, Porosity, Gas and Organic-Matter Corrections, Inversion Endmember Parameters

Kerogen neutron response \(\phi_{N,k}\) parameter

Neutron porosity that pure kerogen would read, on the same lithology scale as the neutron log.

Units: v/v Typical range: 0.4 to 0.8

Used in: Porosity, Gas and Organic-Matter Corrections

Kerogen volume \(V_k\) variable

Volume of kerogen per unit bulk volume of rock.

Units: v/v Typical range: 0 to 0.4 Also known as: VKER, Vkerogen

Used in: TOC Analysis, Kerogen Volume and Maturity, Porosity, Gas and Organic-Matter Corrections, Mineral Inversion, Brittleness Indices

Kerogen weight fraction \(W_k\) variable

Weight of kerogen per unit weight of rock.

Units: wt fraction Typical range: 0 to 0.3

Used in: TOC from Vernik, Kerogen Volume and Maturity

Kerogen-corrected density porosity \(\phi_D^{c}\) variable

Density porosity after the contribution of kerogen has been removed.

Units: v/v Typical range: 0 to 0.15

Used in: Gas and Organic-Matter Corrections

Kerogen-corrected neutron-density porosity \(\phi_{ND}^{c}\) variable

Average neutron-density porosity after the contribution of kerogen has been removed.

Units: v/v Typical range: 0 to 0.15

Used in: Gas and Organic-Matter Corrections

Key well concept

The well whose curves are taken as correct. Other wells are normalized so that their reference-interval distributions match it.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Histogram and Percentile-Based Picks

Laboratory capillary pressure \(P_{c,lab}\) variable

Capillary pressure measured in the laboratory on a core plug, with the lab fluid pair (for example air and brine, or mercury and vacuum).

Units: psi Typical range: 0.1 to 2000

Used in: Capillary Pressure and the Leverett J-Function

Laboratory contact angle \(\theta_{lab}\) parameter

Contact angle, measured through the wetting phase, for the laboratory fluid pair. Taken as 0 degrees for air and brine and about 140 degrees for mercury and air.

Units: degrees Typical range: 0 to 140

Used in: Capillary Pressure and the Leverett J-Function

Laboratory interfacial tension \(\sigma_{lab}\) parameter

Interfacial tension of the fluid pair used in the capillary pressure measurement. About 72 dyne/cm for air and brine and about 480 dyne/cm for mercury and air.

Units: dyne/cm Typical range: 20 to 500 Also known as: mN/m

Used in: Capillary Pressure and the Leverett J-Function

Laminated shale concept

Shale present as thin continuous layers between sand layers, each layer much thinner than the vertical resolution of the logs. The log reads the average of the sand and shale layers.

Used in: Laminated Sand/Shale Analysis, Thomas-Stieber, Sand-Only Porosity and Resistivity

Laminated shale volume \(V_{lam}\) variable

Volume of shale present as laminae, as a fraction of bulk volume.

Units: v/v Typical range: 0 to 1

Used in: Laminated Sand/Shale Analysis, Triangulation, Shale Volume Options, Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Level of organic maturity \(\mathrm{LOM}\) parameter

Scale of thermal maturity of organic matter. Higher values mean more mature. It sets how much resistivity separation a given amount of organic carbon produces in Passey's method.

Units: dimensionless Typical range: 6 to 14

Used in: TOC Analysis, TOC from Passey ΔlogR, Kerogen Volume and Maturity

Leverett J-function \(J\) variable

Dimensionless capillary pressure, scaled by interfacial tension, contact angle, permeability and porosity so that the curves of different rock samples collapse towards one curve.

Units: dimensionless Typical range: 0.05 to 10 Also known as: J-function

Used in: SwH Analysis, Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models

Limestone fraction \(X_{ls}\) parameter

Volume fraction of limestone used to weight the lithology lines.

Units: v/v Typical range: 0 to 1

Used in: Greenberg-Castagna

Limestone-line shear velocity \(V_{s,ls}\) variable

Shear velocity from the limestone regression at the measured Vp.

Units: km/s

Used in: Greenberg-Castagna

Line selector parameter

Selects the Castagna line: 0 mudrock line, 1 limestone, 2 dolomite.

Units: 0, 1 or 2

Used in: Castagna

Linear conversion intercept \(b_{E}\) parameter

Intercept, in GPa, of a linear relation between static and dynamic Young's modulus.

Units: GPa Typical range: -30 to 5

Used in: Static vs Dynamic Moduli

Linear conversion slope \(a_{E}\) parameter

Slope of a linear relation between static and dynamic Young's modulus. It is specific to the rock type, the modulus range and the data set it was fitted to.

Units: dimensionless Typical range: 0.5 to 1.3

Used in: Static vs Dynamic Moduli

Linear-space normalized resistivity \(R_{t,\mathrm{lin}}\) variable

Deep resistivity after a two-point linear map applied directly to the resistivity, shown for comparison with the log-space map.

Units: ohm·m

Used in: Resistivity Normalization

Lithology scale concept

The matrix (usually limestone, sandstone or dolomite) assumed when a porosity log is converted from its raw response. A porosity value is only meaningful together with its scale.

Used in: Log Curve Cleanup, Neutron Tool Selection

Log permeability \(\log_{10}k\) variable

Base-10 logarithm of permeability in millidarcies. Permeability is close to lognormal, so it is plotted and regressed on this scale.

Units: log10(mD) Typical range: -4 to 4

Used in: Wyllie-Rose, Coates, Timur, Tixier, Heslop

Log-space normalized resistivity \(R_{t,\log}\) variable

Deep resistivity after a two-point linear map applied to log10 of the resistivity.

Units: ohm·m

Used in: Resistivity Normalization

Log-space shifted resistivity \(R_{t,\mathrm{ls}}\) variable

Deep resistivity multiplied by one factor that moves the middle pick onto its reference value. It is a shift of log10 resistivity.

Units: ohm·m

Used in: Resistivity Normalization

Log-space slope (exponent) \(s_{R}\) variable

Slope of the two-point map in log10 space. It is the power to which resistivity is raised in the equivalent power law; 1 means a pure multiplicative factor.

Used in: Resistivity Normalization

Lower mud weight limit \(MW_{\min}\) variable

Larger of the pore pressure and the shear-failure (collapse) mud weight.

Units: ppg Typical range: 8 to 16

Used in: Wellbore Stability (1D Geomechanical Model), Mud Weight Window

Lucia cementation exponent \(m_L\) variable

Cementation exponent that rises with the separate-vug fraction, from about 1.76 for interparticle porosity only.

Units: dimensionless Typical range: 1.76 to 3.9

Used in: Carbonate Analysis, Lucia m

Lucia class number \(\mathrm{class}\) variable

Rock fabric class, 1 to 3, from the rock fabric number: 1 for 1.5 or below, 2 above 1.5 up to 2.5, and 3 above 2.5.

Units: dimensionless Typical range: 1 to 3

Used in: Lucia Rock Fabric Number

Lucia rock fabric class concept

One of three petrophysical classes of carbonate interparticle pore space. Class 1 is grain-dominated and coarse, class 2 is intermediate and class 3 is mud-dominated and fine.

Used in: Lucia Rock Fabric Number

Machine-learning infill method

Filling intervals of a curve with values predicted by a machine-learning model trained on other curves. The values are predictions, not measurements.

Used in: Washout Identification and Repair, Repair: Machine-Learning Infill

Margin above the lower limit \(\Delta MW_{\mathrm{low}}\) variable

Mud weight minus the lower limit. Negative values mean the planned mud weight is below the limit.

Units: ppg Typical range: -3 to 6

Used in: Mud Weight Window

Margin below the upper limit \(\Delta MW_{\mathrm{up}}\) variable

Upper limit minus the mud weight. Negative values mean the planned mud weight is above the limit.

Units: ppg Typical range: -3 to 6

Used in: Mud Weight Window

Matrix density \(\rho_{ma}\) parameter

Grain density of the non-kerogen solids in the rock.

Units: g/cm³ Typical range: 2.65 to 2.87

Used in: Neutron Tool Selection, TOC Analysis, Kerogen Volume and Maturity, Porosity, Density Porosity, Neutron-Density Porosity, Gas and Organic-Matter Corrections, Laminated Sand/Shale Analysis, Shale Volume Options, Sand-Only Porosity and Resistivity, Carbonate Analysis, Sonic-Derived Secondary Porosity

Matrix slowness \(\Delta t_{ma}\) parameter

Compressional slowness of the rock matrix with no pore space.

Units: µs/ft Typical range: 47 to 60

Used in: TOC from Faust, Porosity, Sonic Porosity (Wyllie Time-Average), Sonic Porosity (Raymer-Hunt-Gardner), Gas and Organic-Matter Corrections, Carbonate Analysis, Sonic-Derived Secondary Porosity

Maximum bridged gap \(h_{gap}\) parameter

Thickest non-net interval between two net intervals that is bridged, so that the two count as one bed. Zero switches bridging off.

Units: ft Typical range: 0 to 2

Used in: Cutoffs Analysis, Minimum Thickness

Maximum effective stress \(\sigma'_{max}\) variable

Effective stress at the onset of unloading, the stress on the virgin curve that corresponds to the velocity at onset.

Units: psi Typical range: 2000 to 10000

Used in: Bowers, Loading vs Unloading

Maximum hoop stress \(\sigma_{\theta,\max}\) variable

Hoop stress at the wall at the azimuth of the minimum horizontal stress, 3 SH minus Sh minus Pw, where breakouts form.

Units: psi Typical range: 0 to 30000

Used in: Near-Wellbore Stress State, Breakout and Breakdown Pressures

Maximum horizontal stress \(S_{H}\) variable

Largest total principal stress in the horizontal plane. It is the least well constrained of the three stresses.

Units: psi Typical range: 3000 to 25000 Also known as: SHmax

Used in: Wellbore Stability (1D Geomechanical Model), Horizontal Stress Methods, Near-Wellbore Stress State, Breakout and Breakdown Pressures, Mud Weight Window

Mean density above the log \(\bar\rho_0\) parameter

Average bulk density assumed for the interval between the surface (or seafloor) and the top of the density log, from an extrapolation or a regional trend.

Units: g/cm³ Typical range: 1.6 to 2.4

Used in: Overburden and Hydrostatic Pressure

Mean density in the logged interval \(\bar\rho_L\) parameter

Average bulk density from the top of the density log to the depth of interest.

Units: g/cm³ Typical range: 2.0 to 2.8

Used in: Overburden and Hydrostatic Pressure

Mean overburden density \(\bar{\rho}\) variable

Vertical stress divided by depth and by the density-to-pressure factor, the depth-averaged bulk density above the point.

Units: g/cm³ Typical range: 1.9 to 2.6

Used in: Vertical Stress

Mean overburden gradient \(G_{ob}\) parameter

Overburden stress divided by depth. About 1 psi/ft is a common rule of thumb; offshore and in young sediment it is lower.

Units: psi/ft Typical range: 0.85 to 1.1

Used in: Equivalent Depth

Mean TOC \(\overline{\mathrm{TOC}}\) variable

Arithmetic mean of the TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

Median filter method

A running filter that replaces each sample with the median of the samples in a window around it. It removes narrow spikes and keeps sharp bed boundaries.

Used in: Log Curve Cleanup, Spike Removal and Filtering

Median TOC \(\mathrm{TOC}_{med}\) variable

Median of the TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

Mineral inversion method

Simultaneous solution of a set of component volumes from several logs, by least squares with a closure constraint.

Also known as: Multi-mineral solver, Petrophysical inversion

Used in: Mineral Inversion, Inversion Endmember Parameters

Minimum bed thickness \(h_{min}\) parameter

Thinnest continuous interval that is kept as net. Thinner flagged intervals are removed, because they are below what a well test or a completion can use.

Units: ft Typical range: 0.5 to 5

Used in: Cutoffs Analysis, Minimum Thickness

Minimum GR for source rock \(\mathrm{GR}_{min}\) parameter

Gamma ray below which the interval is treated as non-source rock and TOC is set to zero.

Units: gAPI Typical range: 50 to 90

Used in: TOC Analysis

Minimum hoop stress \(\sigma_{\theta,\min}\) variable

Hoop stress at the wall at the azimuth of the maximum horizontal stress, 3 Sh minus SH minus Pw, where tensile fractures start.

Units: psi Typical range: -5000 to 25000

Used in: Near-Wellbore Stress State, Breakout and Breakdown Pressures

Minimum horizontal stress \(S_{h}\) variable

Smallest total principal stress in the horizontal plane. It sets the pressure at which a fracture closes and opens, and is the upper bound of the mud weight window.

Units: psi Typical range: 3000 to 20000 Also known as: Shmin, closure stress

Used in: Wellbore Stability (1D Geomechanical Model), Horizontal Stress Methods, Near-Wellbore Stress State, Breakout and Breakdown Pressures, Mud Weight Window

Minimum horizontal stress (equivalent mud weight) \(S_{h}^{\mathrm{ppg}}\) variable

Minimum horizontal stress expressed as an equivalent mud weight, a fracture gradient estimate.

Units: ppg Typical range: 10 to 20 Also known as: fracture gradient

Used in: Mud Weight Window

Minimum TOC \(\mathrm{TOC}_{min}\) variable

Lowest of the TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

Mobile hydrocarbon saturation \(S_{hc,m}\) variable

Hydrocarbon saturation above the residual: 1 minus water saturation minus residual oil saturation, not less than zero.

Units: v/v Typical range: 0 to 0.8

Used in: Irreducible and Residual Saturations

Movable hydrocarbon index \(S_w/S_{xo}\) variable

Ratio of true-zone to flushed-zone water saturation. A value well below 1 shows that invasion has moved hydrocarbons.

Units: dimensionless Typical range: 0.1 to 1

Used in: Rxo and Sxo

Mud filtrate resistivity \(R_{mf}\) parameter

Resistivity of the drilling-mud filtrate at formation temperature. It sets the water resistivity in the flushed zone.

Units: ohm·m Typical range: 0.02 to 2

Used in: Water Saturation, Rw Determination, Rxo and Sxo

Mud weight \(MW\) parameter

Density of the drilling fluid, the pressure at the wellbore wall divided by 0.052 times true vertical depth.

Units: ppg Typical range: 8 to 18 Also known as: MW

Used in: Mud Weight Window

Mud weight window width \(\Delta MW\) variable

Upper limit minus lower limit. A zero or negative width means no mud weight satisfies both limits.

Units: ppg Typical range: -2 to 6

Used in: Mud Weight Window

Mudline resistivity \(R_0\) parameter

Resistivity of the trendline at zero depth.

Units: ohm·m Typical range: 0.3 to 2

Used in: Normal Compaction Trendlines

Mudline slowness \(\Delta t_{ml}\) parameter

Slowness of the trendline at zero depth (the seafloor or surface), where the sediment is almost uncompacted.

Units: µs/ft Typical range: 170 to 220

Used in: Equivalent Depth, Normal Compaction Trendlines

Mudrock-line shear velocity variable

Shear velocity from the Castagna mudrock line, shown for comparison.

Units: km/s

Used in: Brocher, Eskandari, Carroll

Near-surface bulk density \(\rho_{0}\) parameter

Bulk density of the sediment at the top of the density trend, used to extrapolate density above the logged interval.

Units: g/cm³ Typical range: 1.6 to 2.2

Used in: Vertical Stress

Net pay flag \(F_{p}\) variable

One where the rock is net reservoir and also passes the water saturation cutoff, otherwise zero.

Units: 0 or 1

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Minimum Thickness

Net pay thickness \(h_n\) variable

Thickness of the interval that passes the net pay flags, in true vertical thickness. It is the sum of the sample steps of the flagged samples.

Units: ft Typical range: 1 to 300

Used in: OOIP and OGIP

Net reservoir flag \(F_{r}\) variable

One where the rock is gross reservoir and also passes the porosity and permeability cutoffs, otherwise zero.

Units: 0 or 1

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Minimum Thickness

Net thickness, zone 1 parameter

Net pay thickness of the first of two example intervals.

Units: ft

Used in: Pore Volume, HCPV, PHIH and KH

Net thickness, zone 2 parameter

Net pay thickness of the second of two example intervals.

Units: ft

Used in: Pore Volume, HCPV, PHIH and KH

Net-to-gross ratio \(NTG\) variable

Net thickness divided by gross thickness for a chosen interval. It exists at each level: net reservoir to gross, and net pay to gross.

Units: v/v Typical range: 0 to 1 Also known as: NTG, N/G

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Minimum Thickness, Laminated Sand/Shale Analysis, Horizontal and Vertical Resistivity Sw

Neutron baseline \(\phi_{N,base}\) parameter

Neutron porosity read in the same organic-lean shale used for the resistivity baseline.

Units: v/v Typical range: 0.05 to 0.35

Used in: TOC Analysis, TOC from Passey ΔlogR

Neutron log uncertainty \(\sigma_{\phi N}\) parameter

Standard deviation of the error assigned to the neutron porosity in an inversion.

Units: v/v Typical range: 0.01 to 0.05

Used in: Inversion Model-Error QC

Neutron porosity \(\phi_N\) curve

Apparent porosity from the neutron tool, responding mainly to hydrogen index. Reported on a stated lithology scale.

Units: v/v Typical range: -0.02 to 0.60 Also known as: NPHI, TNPH, CNL

Used in: Curve Aliasing and Mnemonics, Log Curve Cleanup, Unit Detection and Conversion, Neutron Tool Selection, Log-Quality Flags, Coal and Salt Identification, Repair: Regression-Based, Vclay from Neutron, Vclay from Neutron-Density, Vclay from Neutron-Sonic, TOC from Passey ΔlogR, Neutron-Density Porosity, Gas and Organic-Matter Corrections, Inversion Endmember Parameters, Deterministic Rules from Crossplots, Unsupervised Clustering, Curve Selection and Missing Data, Shale Volume Options, Sand-Only Porosity and Resistivity, Sonic-Derived Secondary Porosity

Neutron porosity (percent) \(\phi_{N,\mathrm{pu}}\) variable

Neutron porosity expressed in porosity units (percent), 100 times the volume fraction.

Units: pu Typical range: -2 to 60

Used in: Unit Detection and Conversion

Neutron porosity at first clean point \(\phi_{N,A}\) parameter

Neutron porosity of the first of two points that define the clean-rock line on a crossplot.

Units: v/v Typical range: -0.05 to 0.05

Used in: Vclay from Neutron-Density, Vclay from Neutron-Sonic

Neutron porosity at second clean point \(\phi_{N,B}\) parameter

Neutron porosity of the second point on the clean-rock line, at a higher porosity than the first.

Units: v/v Typical range: 0.15 to 0.40

Used in: Vclay from Neutron-Density, Vclay from Neutron-Sonic

Neutron residual \(r_{\phi N}\) variable

Measured neutron porosity minus the neutron porosity predicted by the inversion model.

Units: v/v Typical range: -0.1 to 0.1

Used in: Inversion Model-Error QC

Neutron tool family concept

A group of neutron tools with the same design: for example epithermal sidewall tools, compensated thermal tools and LWD thermal tools. Each family, and each model within it, has its own environmental response.

Used in: Log Curve Cleanup, Neutron Tool Selection

Neutron-density porosity (average) \(\phi_{ND}\) variable

Arithmetic mean of the neutron porosity and the density porosity.

Units: v/v Typical range: 0 to 0.40

Used in: Neutron-Density Porosity, Sonic-Derived Secondary Porosity

Neutron-density porosity (RMS) \(\phi_{ND,rms}\) variable

Root-mean-square of the neutron porosity and the density porosity. It is weighted toward the larger of the two and so is less reduced by gas.

Units: v/v Typical range: 0 to 0.40

Used in: Neutron-Density Porosity

Neutron-density separation \(\Delta\phi_{ND}\) variable

Neutron porosity minus density porosity, both on the same matrix scale, here the limestone scale. It is positive in shale and negative in clean sandstone, and near zero in limestone.

Units: v/v Typical range: -0.1 to 0.3

Used in: Lithofacies Modelling, Deterministic Rules from Crossplots, Curve Selection and Missing Data

Normal compaction resistivity \(R_n\) variable

Deep resistivity expected in normally compacted shale at the depth, from the normal compaction trendline.

Units: ohm·m Typical range: 0.5 to 5

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Normal Compaction Trendlines

Normal compaction slowness \(\Delta t_n\) variable

Compressional slowness expected in normally compacted shale at the depth, from the normal compaction trendline.

Units: µs/ft Typical range: 50 to 190

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Equivalent Depth, Normal Compaction Trendlines

Normal compaction trendline concept

The expected trend of a log property (sonic slowness or resistivity) with depth in clean shale that is compacting normally, with the pore pressure hydrostatic. Departures from it are read as abnormal pore pressure.

Used in: Pore Pressure, Normal Compaction Trendlines

Normalised Poisson's ratio \(B_{\nu}\) variable

Poisson's ratio rescaled linearly to 0 to 1, with 1 at the lowest Poisson's ratio, the second term of the Rickman brittleness index.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Normalised Young's modulus \(B_{E}\) variable

Young's modulus rescaled linearly to 0 to 1 between its lower and upper bound, the first term of the Rickman brittleness index.

Units: v/v Typical range: 0 to 1

Used in: Brittleness Indices

Normalization reference interval concept

A thick, laterally consistent zone, usually a shale or other uniform rock, in which the curve distributions of different wells are compared.

Used in: Curve Normalization, Histogram and Percentile-Based Picks

Normalization slope \(s_{\mathrm{n}}\) variable

Multiplier applied to the distance from the low pick by a two-point linear normalization. A value of 1 means a pure shift.

Used in: Shift, Scale, and Shift-and-Scale

Normalized curve value \(x_{\mathrm{norm}}\) variable

The curve value after a normalization map has been applied. It is in the same units as the input.

Used in: Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value

Normalized mobile water saturation \(S_e\) variable

Water saturation rescaled between irreducible water saturation and one minus residual oil saturation: 0 where water stops flowing and 1 where oil stops flowing.

Units: v/v Typical range: 0 to 1

Used in: Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

Normalized porosity \(\phi_z\) variable

Pore volume over grain volume, the porosity divided by one minus the porosity. Used with the reservoir quality index to form the flow zone indicator.

Units: v/v Typical range: 0.05 to 0.7

Used in: Swirr from RQI, Hydraulic Flow Units and Winland R35

Normalized water saturation \(S_{w,n}\) variable

Water saturation rescaled between irreducible water saturation and 1, so that it is 0 at irreducible saturation and 1 at full water saturation.

Units: v/v Typical range: 0 to 1

Used in: Permeability-Based and RQI/FZI Models

Null propagation concept

Rule that a result is set to null when a required input is null, instead of being computed from a filled or default value.

Used in: Lithofacies Modelling, Curve Selection and Missing Data

Null sentinel value concept

A reserved number, such as -999.25, written in place of a missing or invalid sample. It is a flag, not data, and must be converted to a true missing value before any arithmetic.

Also known as: null value, NULL, -999.25

Used in: Log Curve Cleanup, Null and Invalid Value Handling

Oil formation volume factor \(B_o\) variable

Volume of reservoir oil, with its dissolved gas, needed to produce one stock-tank barrel of oil at surface conditions.

Units: rb/stb Typical range: 1.0 to 2.5 Also known as: Bo, FVF oil

Used in: Volumetrics, OOIP and OGIP, Oil FVF and Bubble Point (Vasquez-Beggs)

Oil gravity \(\mathrm{API}\) variable

Stock-tank oil density expressed on the API scale, 141.5 divided by the specific gravity minus 131.5. Higher values are lighter oil.

Units: °API Typical range: 10 to 60

Used in: Volumetrics, Oil FVF and Bubble Point (Vasquez-Beggs)

Oil in place per acre \(N_A\) variable

Stock-tank oil originally in place under one acre of the evaluated interval, from net thickness, porosity, water saturation and oil formation volume factor.

Units: stb/acre Typical range: 1000 to 100000

Used in: Volumetrics, OOIP and OGIP

Oil relative permeability \(k_{ro}\) variable

Ratio of the effective permeability to oil at the given saturation to the base permeability.

Units: dimensionless Typical range: 0 to 1

Used in: Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

Oil relative permeability endpoint \(k_{ro}^0\) parameter

Relative permeability to oil at irreducible water saturation, relative to the base permeability. Equal to 1 when the base permeability is the effective permeability to oil at Swirr.

Units: dimensionless Typical range: 0.3 to 1

Used in: Brooks-Corey, Power Law, Fractional Flow

Oil viscosity \(\mu_o\) parameter

Dynamic viscosity of the oil at reservoir conditions.

Units: cP Typical range: 0.2 to 1000

Used in: Fractional Flow

Oil-water contact \(z_{OWC}\) variable

Depth of the highest 100% water saturation seen in a well. It lies above the free water level by the height that the entry (threshold) pressure supports.

Units: ft Also known as: OWC, WOC

Used in: Free Water Level and Column Height

Original gas in place \(G\) variable

Surface-condition gas originally in place over a stated area, from the petrophysical per-unit-area volume multiplied by an area.

Units: Bcf Also known as: OGIP, GIIP

Used in: Volumetrics, OOIP and OGIP

Original oil in place \(N\) variable

Stock-tank oil originally in place over a stated area. In this section it is the petrophysical per-unit-area volume multiplied by an area, not a reserves estimate.

Units: MMstb Also known as: OOIP, STOIIP

Used in: Volumetrics, OOIP and OGIP

Overburden stress \(S_v\) variable

Total vertical stress at a depth: the weight of the rock and fluid above it, from integrating bulk density with depth.

Units: psi Typical range: 0.85 to 1.1 psi/ft times depth Also known as: vertical stress, lithostatic pressure, Sv, OBG

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Bowers, Equivalent Depth, Overburden and Hydrostatic Pressure

Overburden stress in ppg variable

Overburden stress as an equivalent mud weight.

Units: ppg Typical range: 15 to 22

Used in: Overburden and Hydrostatic Pressure

Parallel conductor model method

Model in which a laminated sand-shale sequence conducts like sand and shale layers in parallel for current flowing along the layers, and in series for current flowing across them.

Used in: Laminated Sand/Shale Analysis, Sand-Only Porosity and Resistivity

Percent-range fraction \(f_{\mathrm{n}}\) variable

Position of the curve value between the low and high picks, 0 at the low pick and 1 at the high pick. It is not limited to 0 to 1.

Used in: Normalization to a Fixed Range or Value

Percentile level \(q\) parameter

The percentage of reference-interval samples that lie at or below a pick, between 0 and 100.

Units: % Typical range: 2 to 98

Used in: Histogram and Percentile-Based Picks

Permeability \(k\) variable

Ability of the rock to transmit fluid, as measured or estimated from logs.

Units: mD Typical range: 0.0001 to 10000 Also known as: PERM, K

Used in: Swirr from Permeability, Swirr from RQI, Permeability, Wyllie-Rose, Coates, Timur, Tixier, Heslop, Porosity-Permeability Transforms, Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values, Carbonate Analysis, Lucia Rock Fabric Number, Lucia Permeability, Swirr and Sw, Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models, Hydraulic Flow Units and Winland R35

Permeability cutoff \(k_{cut}\) parameter

Minimum permeability for rock to count as net reservoir. A zero value switches the permeability test off.

Units: mD Typical range: 0.01 to 1

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values

Permeability model multiplier P \(P\) parameter

Empirical multiplier of a log-based permeability equation. Its value, and sometimes its units, depend on the equation, the fluid and the rock type, so it is calibrated to core.

Units: mD (equation dependent)

Used in: Permeability, Wyllie-Rose, Coates, Timur, Tixier, Heslop

Permeability model porosity exponent Q \(Q\) parameter

Empirical exponent on porosity in a log-based permeability equation. Fitted to core for each rock type.

Units: dimensionless Typical range: 2 to 6

Used in: Permeability, Wyllie-Rose, Coates, Timur, Tixier, Heslop

Permeability model saturation exponent R \(R\) parameter

Empirical exponent on the water saturation term in a log-based permeability equation. Fitted to core for each rock type.

Units: dimensionless Typical range: 1 to 4

Used in: Permeability, Wyllie-Rose, Coates, Timur, Tixier, Heslop

Permeability, arithmetic mean \(\bar{k}\) variable

Arithmetic mean permeability of a lognormal population about the trend. It is larger than the geometric mean, and is the value that applies to flow in parallel layers.

Units: mD

Used in: Porosity-Permeability Transforms

Permeability, high estimate \(k_{hi}\) variable

Permeability 1.28 standard deviations above the regression trend, the high end of the 10th to 90th percentile range of the scatter.

Units: mD

Used in: Porosity-Permeability Transforms

Permeability, low estimate \(k_{lo}\) variable

Permeability 1.28 standard deviations below the regression trend, the low end of the 10th to 90th percentile range of the scatter.

Units: mD

Used in: Porosity-Permeability Transforms

Permeability, zone 1 parameter

Average permeability over the net thickness of the first example interval.

Units: mD

Used in: Pore Volume, HCPV, PHIH and KH

Permeability, zone 2 parameter

Average permeability over the net thickness of the second example interval.

Units: mD

Used in: Pore Volume, HCPV, PHIH and KH

Permeability-thickness \(kh\) variable

Sum over the net intervals of thickness times permeability, the layer-parallel flow capacity of the interval.

Units: mD·ft Also known as: KH, flow capacity

Used in: Volumetrics, Pore Volume, HCPV, PHIH and KH

Photoelectric factor \(P_e\) curve

Photoelectric absorption index from the density tool. It depends mainly on lithology and is very sensitive to barite mud and to poor pad contact.

Units: b/e Typical range: 1.8 to 5.1 Also known as: PE, PEF

Used in: Log-Quality Flags, Coal and Salt Identification, Deterministic Rules from Crossplots, Curve Selection and Missing Data

Photoelectric factor \(\mathrm{PE}\) curve

Photoelectric absorption index of the formation from the density tool. It depends mainly on lithology.

Units: barns/electron Typical range: 1.8 to 5.1 Also known as: PE, PEF

Used in: Inversion Endmember Parameters

Poisson's ratio (dynamic) \(\nu\) variable

Dynamic Poisson's ratio from the velocity ratio: (r^2 - 2) / (2 (r^2 - 1)) with r = Vp/Vs.

Typical range: 0.1 to 0.4

Used in: Shear Log Modeling, Castagna

Poisson's ratio (static) \(\nu\) variable

Poisson's ratio that governs the stress model: static where core is available, and often taken equal to the dynamic value where it is not.

Units: dimensionless Typical range: 0.10 to 0.40

Used in: Geomechanics, Brittleness Indices, Horizontal Stress Methods, Near-Wellbore Stress State, Mud Weight Window

Poisson's ratio lower bound \(\nu_{\min}\) parameter

Poisson's ratio at which the normalised Poisson term of the Rickman brittleness index is one (most brittle). The published value is 0.15.

Units: dimensionless Typical range: about 0.15

Used in: Brittleness Indices

Poisson's ratio upper bound \(\nu_{\max}\) parameter

Poisson's ratio at which the normalised Poisson term of the Rickman brittleness index is zero (most ductile). The published value is 0.40.

Units: dimensionless Typical range: about 0.40

Used in: Brittleness Indices

Pore fluid density \(\rho_f\) parameter

Bulk density of the fluid in the part of the formation the density tool reads, normally the mud filtrate in the flushed zone.

Units: g/cm³ Typical range: 0.2 to 1.2 Also known as: Rho fluid

Used in: Porosity, Density Porosity, Neutron-Density Porosity, Gas and Organic-Matter Corrections, Mineral Inversion, Inversion Endmember Parameters, Inversion Uncertainty and Confidence, Sonic-Derived Secondary Porosity

Pore pressure \(P_p\) variable

Pressure of the fluid in the pores of the rock, from log-based methods such as Eaton, Bowers and equivalent depth.

Units: psi Typical range: 3000 to 20000 Also known as: formation pressure, Pp

Used in: Pore Pressure, Eaton (Sonic and Resistivity), Bowers, Equivalent Depth, Overburden and Hydrostatic Pressure

Pore pressure (equivalent mud weight) \(P_{p}^{\mathrm{ppg}}\) variable

Pore pressure expressed as an equivalent mud weight, pressure in psi divided by 0.052 times true vertical depth in feet. Normal hydrostatic pressure is about 8.5 to 9 ppg.

Units: ppg Typical range: 8 to 18

Used in: Mud Weight Window

Pore pressure (stress analysis) \(P_{p}\) variable

Pressure of the fluid in the pore space at the depth analysed, taken from a pore-pressure model or measurements.

Units: psi Typical range: 1000 to 20000

Used in: Wellbore Stability (1D Geomechanical Model), Horizontal Stress Methods, Near-Wellbore Stress State, Breakout and Breakdown Pressures, Mud Weight Window

Pore pressure from resistivity variable

Pore pressure computed from the resistivity log.

Units: psi

Used in: Eaton (Sonic and Resistivity)

Pore pressure from sonic variable

Pore pressure computed from the sonic log.

Units: psi

Used in: Eaton (Sonic and Resistivity)

Pore volume per acre \(PV_A\) variable

Reservoir-condition pore volume under one acre, which is the porosity-thickness times the barrels in an acre-foot.

Units: rb/acre

Used in: Pore Volume, HCPV, PHIH and KH

Pore-volume-weighted water saturation \(\bar{S}_w\) variable

One minus the ratio of hydrocarbon pore thickness to porosity-thickness. It weights each interval by its pore volume, not by its thickness.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Porosity (inversion) \(\phi_{inv}\) variable

Fluid volume per unit bulk volume from the three-component inversion example.

Units: v/v Typical range: 0 to 0.4

Used in: Mineral Inversion

Porosity cutoff \(\phi_{cut}\) parameter

Minimum effective porosity for rock to count as net reservoir.

Units: v/v Typical range: 0.04 to 0.12

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values

Porosity standard deviation (inversion) \(\sigma_{\phi}\) variable

Standard deviation of the inverted porosity caused by the log errors.

Units: v/v Typical range: 0.01 to 0.05

Used in: Inversion Uncertainty and Confidence

Porosity, zone 1 parameter

Average effective porosity over the net thickness of the first example interval.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Porosity, zone 2 parameter

Average effective porosity over the net thickness of the second example interval.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Porosity-permeability intercept \(a_\phi\) parameter

Intercept of the semi-log regression of log10 permeability on porosity in percent, the value of log10 k at zero porosity.

Units: log10(mD) Typical range: -5 to 0

Used in: Porosity-Permeability Transforms, Choosing Cutoff Curves and Values

Porosity-permeability scatter \(\sigma_k\) parameter

Standard deviation of log10 permeability about the regression line. A measure of how well porosity predicts permeability.

Units: log10 units Typical range: 0.2 to 0.8

Used in: Porosity-Permeability Transforms, Choosing Cutoff Curves and Values

Porosity-permeability slope \(b_\phi\) parameter

Slope of the semi-log regression of log10 permeability on porosity, per percent porosity.

Units: log10(mD) per porosity percent Typical range: 0.1 to 0.5

Used in: Porosity-Permeability Transforms, Choosing Cutoff Curves and Values

Porosity-thickness \(\Phi H\) variable

Sum over the net intervals of thickness times porosity. It is the pore volume per unit area expressed as a length.

Units: ft Also known as: PHIH, phi-h

Used in: Volumetrics, Pore Volume, HCPV, PHIH and KH

Power conversion coefficient \(c_{E}\) parameter

Multiplier of the power-law relation between static and dynamic Young's modulus, with moduli in GPa.

Units: GPa^(1-p) Typical range: 0.05 to 0.3

Used in: Static vs Dynamic Moduli

Power conversion exponent \(p_{E}\) parameter

Exponent of the power-law relation between static and dynamic Young's modulus.

Units: dimensionless Typical range: 1.2 to 1.6

Used in: Static vs Dynamic Moduli

Pressure at the datum \(p_0\) parameter

Absolute pressure at zero depth, normally atmospheric pressure.

Units: psia Typical range: 14.7

Used in: Reservoir Pressure and Temperature

Pseudo-critical pressure \(p_{pc}\) variable

Mole-fraction-weighted critical pressure of a gas mixture, here estimated from the gas gravity with a correlation.

Units: psia Typical range: 570 to 700

Used in: Gas FVF and Z-Factor

Pseudo-critical temperature \(T_{pc}\) variable

Mole-fraction-weighted critical temperature of a gas mixture, here estimated from the gas gravity with a correlation. Used in Rankine.

Units: °R Typical range: 350 to 500

Used in: Gas FVF and Z-Factor

Pseudo-reduced pressure \(p_{pr}\) variable

Absolute pressure divided by the pseudo-critical pressure.

Units: dimensionless Typical range: 0 to 15

Used in: Gas FVF and Z-Factor

Pseudo-reduced temperature \(T_{pr}\) variable

Absolute temperature divided by the pseudo-critical temperature.

Units: dimensionless Typical range: 1.2 to 3

Used in: Gas FVF and Z-Factor

Pure-shale bulk density \(\rho_{b,sh}\) parameter

Bulk density read in pure shale. It is used for the neutron-density shale volume and for removing the shale contribution from the density log.

Units: g/cm³ Typical range: 2.3 to 2.65

Used in: Laminated Sand/Shale Analysis, Shale Volume Options, Sand-Only Porosity and Resistivity

Pure-shale neutron porosity \(\phi_{N,sh}\) parameter

Neutron porosity read in pure shale, on the same scale as the neutron porosity of the sand.

Units: v/v Typical range: 0.25 to 0.45

Used in: Laminated Sand/Shale Analysis, Shale Volume Options, Sand-Only Porosity and Resistivity

Quartz density endmember \(\rho_q\) parameter

Density response of pure quartz used as an inversion endmember.

Units: g/cm³ Typical range: 2.64 to 2.65

Used in: Mineral Inversion, Inversion Uncertainty and Confidence

Quartz U endmember \(U_q\) parameter

Volumetric photoelectric cross section of pure quartz.

Units: barns/cm³ Typical range: 4.7 to 4.9

Used in: Mineral Inversion, Inversion Uncertainty and Confidence

Quartz volume \(V_{qz}\) variable

Volume fraction of quartz in the rock, from mineral inversion or core.

Units: v/v Typical range: 0 to 0.8

Used in: Brittleness Indices

Quartz volume (inversion) \(V_q\) variable

Volume of quartz per unit bulk volume from the three-component inversion example.

Units: v/v Typical range: 0 to 1

Used in: Mineral Inversion

Quartz volume standard deviation \(\sigma_{V_q}\) variable

Standard deviation of the inverted quartz volume caused by the log errors.

Units: v/v Typical range: 0.05 to 1

Used in: Inversion Uncertainty and Confidence

Radioactive feldspar concept

Potassium-bearing feldspar that raises the gamma ray without adding clay, which biases gamma-ray-based clay volume high.

Raymer-Hunt-Gardner exponent \(x_{RHG}\) parameter

Exponent in the empirical Raymer-Hunt-Gardner form that relates the matrix-to-measured slowness ratio to porosity.

Typical range: 1.6 to 2.0

Used in: Sonic Porosity (Raymer-Hunt-Gardner)

Reduced density (Hall-Yarborough) \(Y\) variable

Dimensionless reduced density that the Hall-Yarborough equation of state is solved for. It is not a mole fraction.

Units: dimensionless Typical range: 0 to 0.5

Used in: Gas FVF and Z-Factor

Reference high value \(r_{\mathrm{hi}}\) parameter

The value the high pick is mapped to. It is the same percentile of the key well, or a fixed target chosen by the analyst.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Resistivity Normalization

Reference low value \(r_{\mathrm{lo}}\) parameter

The value the low pick is mapped to. It is the same percentile of the key well, or a fixed target chosen by the analyst.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Resistivity Normalization

Reference middle value \(r_{\mathrm{mid}}\) parameter

The value the middle pick is mapped to: the key-well median, or a fixed target value.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Resistivity Normalization

Regression band, high \(\hat{\rho}_{b,\mathrm{hi}}\) variable

Approximate upper edge of a 95 percent band around the prediction, using the training residual only.

Units: g/cm³

Used in: Repair: Regression-Based

Regression band, low \(\hat{\rho}_{b,\mathrm{lo}}\) variable

Approximate lower edge of a 95 percent band around the prediction, using the training residual only.

Units: g/cm³

Used in: Repair: Regression-Based

Regression coefficient, gamma ray \(\beta_1\) parameter

Change in the repaired density per unit of gamma ray in a two-predictor regression.

Units: g/cm³ per gAPI

Used in: Repair: Regression-Based

Regression coefficient, neutron \(\beta_2\) parameter

Change in the repaired density per unit of neutron porosity in a two-predictor regression.

Units: g/cm³ per v/v

Used in: Repair: Regression-Based

Regression intercept \(\beta_0\) parameter

Constant term of a multi-linear regression used to repair a curve.

Units: g/cm³

Used in: Repair: Regression-Based

Regression residual standard deviation \(\sigma_{\mathrm{fit}}\) parameter

Root-mean-square residual of the regression over its training samples, in the units of the repaired curve.

Units: g/cm³ Typical range: 0.01 to 0.05

Used in: Repair: Regression-Based

Regression-predicted density \(\hat{\rho}_b\) variable

Bulk density predicted from other curves by the fitted regression. It is a prediction, not a measurement.

Units: g/cm³

Used in: Repair: Regression-Based

Relative dip \(\theta\) parameter

Angle between the tool axis and the normal to the bedding. It is 0 for a vertical well in flat beds and 90 degrees for a well drilled along the bedding.

Units: degrees Typical range: 0 to 90

Used in: Laminated Sand/Shale Analysis, Horizontal and Vertical Resistivity Sw

Reservoir capillary pressure \(P_{c,res}\) variable

Capillary pressure between the hydrocarbon and water phases at reservoir conditions. It equals the buoyancy pressure of the hydrocarbon column above the free water level.

Units: psi Typical range: 0 to 500 Also known as: Pc

Used in: SwH Analysis, Capillary Pressure and the Leverett J-Function, Permeability-Based and RQI/FZI Models, Free Water Level and Column Height

Reservoir contact angle \(\theta_{res}\) parameter

Contact angle, measured through the water, between the reservoir hydrocarbon and brine on the rock surface. A water-wet rock has a small angle.

Units: degrees Typical range: 0 to 60

Used in: Capillary Pressure and the Leverett J-Function

Reservoir interfacial tension \(\sigma_{res}\) parameter

Interfacial tension between the reservoir hydrocarbon and brine at reservoir conditions. Typical textbook values are about 30 dyne/cm for oil and water and about 50 dyne/cm for gas and water.

Units: dyne/cm Typical range: 20 to 70 Also known as: mN/m

Used in: Capillary Pressure and the Leverett J-Function

Reservoir pressure \(p\) variable

Pressure of the fluid in the pores at reservoir depth, in absolute units. It may be hydrostatic, overpressured, or a measured value.

Units: psia Typical range: 500 to 20000

Used in: Volumetrics, Oil FVF and Bubble Point (Vasquez-Beggs), Gas FVF and Z-Factor, Reservoir Pressure and Temperature

Reservoir quality index \(RQI\) variable

Square root of permeability over porosity, scaled to micrometres. It tracks the effective pore throat size and is used to separate flow units.

Units: µm Typical range: 0.01 to 5 Also known as: RQI

Used in: Swirr from RQI, Permeability-Based and RQI/FZI Models, Hydraulic Flow Units and Winland R35

Residual oil saturation \(S_{or}\) variable

Oil saturation left in the rock when displacement has reduced the oil to the point where it no longer flows. Equal to one minus the flushed-zone water saturation when that is used as the source.

Units: v/v Typical range: 0.1 to 0.4 Also known as: Shc,res

Used in: Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

Resistivity anisotropy concept

The difference between the resistivity measured along the bedding (horizontal) and across it (vertical), caused by thin laminations.

Used in: Laminated Sand/Shale Analysis

Resistivity baseline \(R_{t,base}\) parameter

Resistivity read in a thick, organic-lean (non-source) shale where the resistivity and porosity curves are in equilibrium.

Units: ohm·m Typical range: 1 to 20

Used in: TOC Analysis, TOC from Passey ΔlogR

Resistivity compaction rate \(c_r\) parameter

Rate at which the resistivity trendline increases with depth, per thousand feet.

Units: 1/kft Typical range: 0.03 to 0.2

Used in: Normal Compaction Trendlines

Resistivity index \(I_R\) variable

Ratio of the true resistivity of a partly water-saturated rock to the resistivity of the same rock fully saturated with water.

Units: dimensionless Typical range: 1 to 30 Also known as: resistivity index

Used in: Archie, Cementation and Saturation Exponents

Reuss (harmonic) mixed shear velocity \(V_{s,R}\) variable

Volume-weighted harmonic mean of the lithology-line shear velocities.

Units: km/s

Used in: Greenberg-Castagna

Rock fabric number \(RFN\) variable

Lucia's continuous index of carbonate rock fabric, from about 0.5 (grain-dominated, coarse) to 4 (fine mud-dominated). It selects the porosity-saturation-height relation.

Units: dimensionless Typical range: 0.5 to 4 Also known as: Lucia rock fabric number

Used in: Lucia, Swirr from Lucia, Carbonate Analysis, Lucia Rock Fabric Number, Lucia Permeability, Swirr and Sw

Sampling step parameter

The spacing between successive samples of a log. Common values are 0.5 ft, 0.25 ft, 0.1 ft, 0.1524 m and 0.1 m.

Units: ft or m Typical range: 0.1 to 1

Used in: Log Curve Cleanup

Sand resistivity \(R_{sa}\) variable

Resistivity of the sand layers alone, with the laminated shale removed from the horizontal resistivity.

Units: ohm·m Typical range: 0.5 to 200

Used in: Laminated Sand/Shale Analysis, Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Sand water saturation \(S_{w,sa}\) variable

Water saturation of the sand layers, computed from the sand porosity and the sand resistivity.

Units: v/v Typical range: 0 to 1

Used in: Laminated Sand/Shale Analysis, Horizontal and Vertical Resistivity Sw

Sand-only density porosity \(\phi_{D,sa}\) variable

Density porosity of the sand fraction, after the laminated shale has been removed from the density porosity.

Units: v/v Typical range: 0.05 to 0.35

Used in: Sand-Only Porosity and Resistivity

Sand-only neutron porosity \(\phi_{N,sa}\) variable

Neutron porosity of the sand fraction, after the laminated shale has been removed from the neutron porosity.

Units: v/v Typical range: 0.05 to 0.35

Used in: Sand-Only Porosity and Resistivity

Sand-only neutron-density porosity \(\phi_{ND,sa}\) variable

Root-mean-square combination of the sand-only density and neutron porosities.

Units: v/v Typical range: 0.05 to 0.35

Used in: Sand-Only Porosity and Resistivity

Sandstone fraction \(X_{ss}\) parameter

Volume fraction of sandstone (quartz-rich clastic) used to weight the Greenberg-Castagna lines. The four fractions are normalized to sum to 1.

Units: v/v Typical range: 0 to 1

Used in: Greenberg-Castagna

Sandstone-line shear velocity \(V_{s,ss}\) variable

Shear velocity from the sandstone regression at the measured Vp.

Units: km/s

Used in: Greenberg-Castagna

Saturation exponent \(n\) parameter

Exponent relating resistivity index to water saturation in Archie's equation.

Units: dimensionless Typical range: 1.6 to 2.5

Used in: Water Saturation, Archie, Indonesian, Dual Water, Waxman-Smits, Cementation and Saturation Exponents, Rxo and Sxo, Horizontal and Vertical Resistivity Sw, Lucia m

Scaled value \(x_{\mathrm{scale}}\) variable

The curve value after a pure multiplicative scale that moves the middle pick onto its reference value.

Used in: Shift, Scale, and Shift-and-Scale

Schmoker coefficient A \(A\) parameter

Coefficient multiplying the inverse bulk density in Schmoker's linear relation for TOC. It is fitted to core TOC for a formation.

Units: wt%·g/cm³ Typical range: 100 to 200

Used in: TOC from Schmoker

Schmoker coefficient B \(B\) parameter

Constant subtracted in Schmoker's linear relation for TOC. It is fitted to core TOC for a formation.

Units: wt% Typical range: 40 to 80

Used in: TOC from Schmoker

Separate-vug fraction \(\phi_{sv}/\phi_t\) variable

Separate-vug porosity as a fraction of total porosity.

Units: v/v Typical range: 0 to 0.6

Used in: Lucia m

Separate-vug porosity \(\phi_{sv}\) variable

Porosity of vugs that are connected only through the interparticle pore network, for example moulds and intragrain pores. It adds storage but little flow and no capillary signal.

Units: v/v Typical range: 0 to 0.15

Used in: Carbonate Analysis, Lucia m, Sonic-Derived Secondary Porosity

Shale fraction \(X_{sh}\) parameter

Volume fraction of shale used to weight the lithology lines.

Units: v/v Typical range: 0 to 1

Used in: Greenberg-Castagna

Shale slowness (compaction) \(\Delta t_{sh}\) parameter

Compressional slowness of adjacent shale, used as an indicator of how uncompacted the formation is.

Units: µs/ft Typical range: 80 to 140

Used in: Sonic Porosity (Wyllie Time-Average)

Shale total porosity \(\phi_{sh}\) parameter

Total porosity of 100% clay or shale, which is the volume of clay-bound water in a unit volume of clay. It is the porosity term in the dual-water bound-water saturation.

Units: v/v Typical range: 0.05 to 0.35

Used in: Water Saturation, Dual Water, Total vs Effective Sw, Laminated Sand/Shale Analysis, Thomas-Stieber, Triangulation, Horizontal and Vertical Resistivity Sw

Shale volume \(V_{sh}\) variable

Volume fraction of shale per unit bulk volume, where shale is the clay plus the silt and bound water it carries.

Units: v/v Typical range: 0 to 1 Also known as: Vshale, VSH

Used in: Clay Volume, Total vs Effective Porosity, Thomas-Stieber, Triangulation, Pore Pressure, Normal Compaction Trendlines

Shale volume from gamma ray (linear) \(V_{sh,GR}\) variable

Shale volume from the linear gamma ray index between a clean-sand and a shale reading, limited to 0 to 1.

Units: v/v Typical range: 0 to 1

Used in: Shale Volume Options

Shale volume from neutron-density separation \(V_{sh,ND}\) variable

Shale volume from the separation of the density porosity and the neutron porosity, scaled by the separation in pure shale.

Units: v/v Typical range: 0 to 1

Used in: Shale Volume Options

Shale volume, average of methods \(V_{sh,avg}\) variable

The mean of the ratio, gamma ray and neutron-density shale volumes.

Units: v/v Typical range: 0 to 1

Used in: Shale Volume Options

Shale volume, minimum of methods \(V_{sh,min}\) variable

The smallest of the ratio, gamma ray and neutron-density shale volumes.

Units: v/v Typical range: 0 to 1

Used in: Shale Volume Options

Shale-line shear velocity \(V_{s,sh}\) variable

Shear velocity from the shale regression at the measured Vp.

Units: km/s

Used in: Greenberg-Castagna

Shaly-sand cementation exponent \(m^{*}\) parameter

Cementation exponent m* measured on the same shaly core samples used for Qv in the Waxman-Smits model. It is slightly above the clean-rock m.

Units: dimensionless Typical range: 1.6 to 2.4

Used in: Water Saturation, Waxman-Smits

Shear slowness \(\Delta t_{s}\) curve

Transit time of the shear wave per unit distance, the reciprocal of the shear velocity. It comes from a dipole sonic log or from a shear-log model.

Units: µs/ft Typical range: 80 to 250 Also known as: DTS, DTSM, shear transit time

Used in: Dynamic Elastic Moduli

Shear slowness \(\Delta t_s\) variable

Shear slowness, 304.8 divided by the shear velocity in km/s. Here it is a modeled value for wells without a measured shear log.

Units: µs/ft Typical range: 70 to 400 Also known as: DTS, DTSM

Used in: Shear Log Modeling, Greenberg-Castagna, Castagna, Brocher, Eskandari, Carroll

Shear velocity \(V_{s}\) variable

Speed of the shear wave, 304.8 divided by the shear slowness in µs/ft.

Units: km/s Typical range: 1.2 to 3.8 Also known as: Vs, S-wave velocity

Used in: Geomechanics, Dynamic Elastic Moduli

Shear velocity \(V_s\) variable

Shear velocity in kilometres per second, from a regression on the compressional velocity or measured by a dipole sonic.

Units: km/s Typical range: 0.5 to 4 Also known as: Vs

Used in: Shear Log Modeling, Greenberg-Castagna, Castagna, Brocher, Eskandari, Carroll

Shear-failure mud pressure \(P_{w}^{sh}\) variable

Lowest wellbore pressure at which the wall of a vertical well stays intact in shear. Below it the rock fails in compression and breakouts form.

Units: psi Typical range: 2000 to 20000 Also known as: collapse pressure

Used in: Wellbore Stability (1D Geomechanical Model), Breakout and Breakdown Pressures, Mud Weight Window

Shifted value \(x_{\mathrm{shift}}\) variable

The curve value after a pure additive shift that moves the middle pick onto its reference value.

Used in: Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value

SHmax, stress-strain model \(S_{H}^{\varepsilon}\) variable

Maximum horizontal stress from the poroelastic model with imposed tectonic strains.

Units: psi Typical range: 3000 to 25000

Used in: Horizontal Stress Methods

SHmax, strike-slip frictional limit \(S_{H}^{ss}\) variable

Upper bound of the maximum horizontal stress set by frictional equilibrium in a strike-slip stress state.

Units: psi Typical range: 3000 to 30000

Used in: Horizontal Stress Methods

Shmin, Eaton uniaxial strain \(S_{h}^{E}\) variable

Minimum horizontal stress from the uniaxial strain relation with Poisson's ratio and effective stress.

Units: psi Typical range: 3000 to 20000

Used in: Horizontal Stress Methods

Shmin, Hubbert-Willis \(S_{h}^{HW}\) variable

Minimum horizontal stress from a constant fraction of one third of the effective vertical stress added to the pore pressure.

Units: psi Typical range: 3000 to 20000

Used in: Horizontal Stress Methods

Shmin, normal-faulting frictional limit \(S_{h}^{nf}\) variable

Lower bound of the minimum horizontal stress set by frictional equilibrium in a normal-faulting stress state.

Units: psi Typical range: 3000 to 20000

Used in: Horizontal Stress Methods

Shmin, poroelastic (Eaton-Biot) \(S_{h}^{B}\) variable

Minimum horizontal stress from the uniaxial strain relation with a Biot coefficient in the effective stress.

Units: psi Typical range: 3000 to 20000

Used in: Horizontal Stress Methods

Shmin, stress-strain model \(S_{h}^{\varepsilon}\) variable

Minimum horizontal stress from the poroelastic model with imposed tectonic strains.

Units: psi Typical range: 3000 to 20000

Used in: Horizontal Stress Methods

Silhouette width \(s\) concept

Measure of how well a sample fits its own cluster compared with the nearest other cluster, from -1 to 1. Its mean over all samples is used to compare numbers of clusters.

Units: dimensionless Typical range: -1 to 1

Used in: Lithofacies Modelling, Unsupervised Clustering

Simandoux water saturation \(S_{w,Sim}\) variable

Water saturation from the original Simandoux equation, which is used as a reference against the modified form.

Units: v/v Typical range: 0 to 1

Used in: Modified Simandoux

Slowness at first clean point \(\Delta t_A\) parameter

Compressional slowness of the first of two points that define the clean-rock line on a crossplot, usually the matrix end.

Units: µs/ft Typical range: 45 to 60

Used in: Vclay from Sonic-Density, Vclay from Neutron-Sonic

Slowness at second clean point \(\Delta t_B\) parameter

Compressional slowness of the second point on the clean-rock line, at a higher porosity than the first.

Units: µs/ft Typical range: 70 to 110

Used in: Vclay from Sonic-Density, Vclay from Neutron-Sonic

Slowness on the loading curve variable

Loading-curve velocity expressed as slowness.

Units: µs/ft

Used in: Loading vs Unloading

Slowness on the unloading curve variable

Unloading-curve velocity expressed as slowness.

Units: µs/ft

Used in: Loading vs Unloading

Solution gas-oil ratio \(R_s\) variable

Standard cubic feet of gas dissolved in one stock-tank barrel of oil at the stated pressure and temperature.

Units: scf/stb Typical range: 0 to 2000 Also known as: Rs, GOR (solution)

Used in: Oil FVF and Bubble Point (Vasquez-Beggs)

Solution gas-oil ratio at bubble point \(R_{sb}\) parameter

Solution gas-oil ratio of a saturated oil at its bubble point. It is the total gas dissolved in the oil and is normally the flash gas-oil ratio of a PVT report.

Units: scf/stb Typical range: 0 to 2000

Used in: Volumetrics, Oil FVF and Bubble Point (Vasquez-Beggs)

Sonic baseline \(\Delta t_{base}\) parameter

Compressional slowness read in the same organic-lean shale used for the resistivity baseline.

Units: µs/ft Typical range: 60 to 110

Used in: TOC Analysis, TOC from Passey ΔlogR

Sonic compaction rate \(c_s\) parameter

Rate at which the sonic trendline approaches its deep value, per thousand feet of depth.

Units: 1/kft Typical range: 0.05 to 0.4

Used in: Equivalent Depth, Normal Compaction Trendlines

Sonic log uncertainty \(\sigma_{\Delta t}\) parameter

Standard deviation of the error assigned to the compressional slowness in an inversion.

Units: µs/ft Typical range: 2 to 10

Used in: Inversion Model-Error QC

Sonic porosity \(\phi_s\) variable

Porosity from the sonic log by the time-average relation between slowness, matrix slowness and fluid slowness.

Units: v/v Typical range: 0 to 0.4

Used in: TOC from Faust, Sonic Porosity (Wyllie Time-Average), Sonic Porosity (Raymer-Hunt-Gardner), Sonic-Derived Secondary Porosity

Sonic porosity (Raymer-Hunt-Gardner) \(\phi_{RHG}\) variable

Porosity from the compressional slowness by the Raymer-Hunt-Gardner transform.

Units: v/v Typical range: 0 to 0.4

Used in: Sonic Porosity (Raymer-Hunt-Gardner)

Sonic porosity with compaction factor \(\phi_{S,c}\) variable

Wyllie time-average sonic porosity divided by the compaction factor.

Units: v/v Typical range: 0 to 0.4

Used in: Sonic Porosity (Wyllie Time-Average)

Sonic residual \(r_{\Delta t}\) variable

Measured compressional slowness minus the slowness predicted by the inversion model.

Units: µs/ft Typical range: -15 to 15

Used in: Inversion Model-Error QC

Source high pick \(p_{\mathrm{hi}}\) parameter

A high percentile of the curve in the reference interval of the well being normalized, for example the 95th percentile.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Histogram and Percentile-Based Picks, Resistivity Normalization

Source low pick \(p_{\mathrm{lo}}\) parameter

A low percentile of the curve in the reference interval of the well being normalized, for example the 5th percentile.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Histogram and Percentile-Based Picks, Resistivity Normalization

Source middle pick \(p_{\mathrm{mid}}\) parameter

A middle percentile (usually the 50th) of the curve in the reference interval of the well being normalized.

Used in: Curve Normalization, Shift, Scale, and Shift-and-Scale, Normalization to a Fixed Range or Value, Histogram and Percentile-Based Picks, Resistivity Normalization

Spontaneous potential \(\mathrm{SP}\) curve

Naturally occurring potential difference measured between a borehole electrode and a surface reference, driven mainly by the salinity contrast between mud filtrate and formation water.

Units: mV Typical range: -150 to 50 Also known as: SP, SPBL

Used in: Vclay from SP

Static spontaneous potential \(\mathrm{SSP}\) variable

Maximum SP deflection between a thick clean sand and an adjacent shale, corrected for bed thickness and invasion.

Units: mV Typical range: -150 to 0

Used in: Rw Determination

Static to dynamic ratio \(E_{s}/E_{d}\) variable

Ratio of the linear-conversion static modulus to the dynamic modulus. It is below 1 for most rocks, and closer to 1 for stiff, low-porosity rock.

Units: dimensionless Typical range: 0.3 to 1

Used in: Static vs Dynamic Moduli

Static Young's modulus \(E_{s}\) variable

Young's modulus measured in slow quasi-static loading of core, or a log-derived value calibrated to it. It is the modulus that governs deformation under drilling and fracturing stress changes.

Units: GPa Typical range: 5 to 80

Used in: Geomechanics, Brittleness Indices, Static vs Dynamic Moduli, UCS Correlations, Horizontal Stress Methods

Static Young's modulus (linear conversion) \(E_{s,\mathrm{lin}}\) variable

Static Young's modulus estimated from the dynamic value with a linear relation, floored at zero.

Units: GPa Typical range: 0 to 100

Used in: Static vs Dynamic Moduli

Static Young's modulus (power conversion) \(E_{s,\mathrm{pow}}\) variable

Static Young's modulus estimated from the dynamic value with a power-law relation.

Units: GPa Typical range: 0 to 100

Used in: Static vs Dynamic Moduli

Stieber relation method

Nonlinear transform of the gamma ray index that reduces the clay volume estimated in lower-clay intervals, after Stieber.

Stress regime index \(R_{s}\) variable

Index of the Anderson stress regime from the ordering of the three stresses: 1 normal, 2 strike-slip, 3 reverse.

Units: 1, 2 or 3 Typical range: 1 to 3 Also known as: Anderson regime

Used in: Horizontal Stress Methods

Structural shale concept

Shale present as grains or clasts that take the place of sand grains in the framework. The intergranular pore space of the sand is kept and the shale grains add their own porosity.

Used in: Laminated Sand/Shale Analysis, Thomas-Stieber

Structural shale volume \(V_{str}\) variable

Volume of structural shale, as a fraction of bulk volume.

Units: v/v Typical range: 0 to 1

Used in: Laminated Sand/Shale Analysis, Triangulation

Surface temperature \(T_0\) parameter

Mean ground or sea-bed temperature at the top of the temperature profile.

Units: °F Typical range: 40 to 100

Used in: Reservoir Pressure and Temperature

Swirr-permeability coefficient a \(a_k\) parameter

Multiplier of the power law between irreducible water saturation and permeability, fitted to core capillary pressure or relative permeability data.

Units: v/v at 1 mD

Used in: Swirr from Permeability

Swirr-permeability exponent b \(b_k\) parameter

Exponent of the power law between irreducible water saturation and permeability. Negative, because Swirr falls as permeability rises.

Units: dimensionless Typical range: -0.4 to -0.1

Used in: Swirr from Permeability

Swirr-RQI coefficient a \(a_{q}\) parameter

Multiplier of the power law between irreducible water saturation and reservoir quality index, fitted to core.

Units: v/v at 1 µm

Used in: Swirr from RQI, Permeability-Based and RQI/FZI Models

Swirr-RQI exponent b \(b_{q}\) parameter

Exponent of the power law between irreducible water saturation and reservoir quality index. Negative, because Swirr falls as quality rises.

Units: dimensionless Typical range: -0.8 to -0.2

Used in: Swirr from RQI, Permeability-Based and RQI/FZI Models

T2 cutoff \(T_{2,cut}\) parameter

Relaxation time that separates the bound-fluid part of an NMR T2 distribution from the free-fluid part. Set by core NMR on saturated and centrifuged plugs.

Units: ms Typical range: 10 to 100

Used in: Swirr from NMR

T2 distribution width \(\sigma_{T2}\) parameter

Standard deviation of ln(T2) for a single-mode lognormal T2 distribution. Used here to model the distribution in the calculator.

Units: ln units Typical range: 0.5 to 1.5

Used in: Swirr from NMR

T2 logarithmic mean \(T_{2,lm}\) variable

Geometric mean of the T2 distribution, the central relaxation time of a single-mode distribution.

Units: ms Typical range: 5 to 1000 Also known as: T2LM

Used in: Swirr from NMR

Tectonic strain, maximum horizontal \(\varepsilon_{H}\) parameter

Imposed tectonic strain along the maximum horizontal stress direction in the stress-strain model, in microstrain. It is calibrated, not measured.

Units: µε Typical range: 0 to 1500

Used in: Horizontal Stress Methods

Tectonic strain, minimum horizontal \(\varepsilon_{h}\) parameter

Imposed tectonic strain along the minimum horizontal stress direction in the stress-strain model, in microstrain. It is calibrated, not measured.

Units: µε Typical range: 0 to 1000

Used in: Horizontal Stress Methods

Tensile strength \(T_{0}\) parameter

Tensile stress at which the rock fails in tension. It is small, often a tenth of UCS or less, and is lower still for rock with natural fractures.

Units: psi Typical range: 0 to 2000

Used in: Breakout and Breakdown Pressures, Mud Weight Window

Terzaghi effective stress concept

The principle that the vertical stress carried by the rock framework is the total vertical stress minus the pore pressure. Rock properties such as velocity and resistivity respond to this effective stress, which is why they can be used to estimate pore pressure.

Used in: Pore Pressure

Thickness-weighted permeability \(\bar{k}\) variable

Permeability-thickness divided by total net thickness: the arithmetic average appropriate for flow parallel to the layers.

Units: mD

Used in: Pore Volume, HCPV, PHIH and KH

Thickness-weighted porosity \(\bar{\phi}\) variable

Porosity-thickness divided by total net thickness.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Thomas-Stieber model method

A framework that relates total porosity to shale volume for sand with laminated, structural or dispersed shale, and so identifies how the shale is distributed.

Used in: Thomas-Stieber

Three-point normalized value \(x_{\mathrm{pw}}\) variable

The curve value after a piecewise linear map through the low, middle and high picks.

Used in: Shift, Scale, and Shift-and-Scale

Threshold (entry) pressure \(P_{c,e}\) parameter

Capillary pressure that the hydrocarbon must exceed to enter the largest connected pore throats and start displacing water. It sets the gap between the free water level and the oil-water contact.

Units: psi Typical range: 0.1 to 100 Also known as: displacement pressure, entry pressure

Used in: Free Water Level and Column Height

TOC estimate 1 \(\mathrm{TOC}_1\) variable

First of several independent TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

TOC estimate 2 \(\mathrm{TOC}_2\) variable

Second of several independent TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

TOC estimate 3 \(\mathrm{TOC}_3\) variable

Third of several independent TOC estimates.

Units: wt% Typical range: 0 to 15

Used in: Combining TOC Estimates

TOC scaling factor parameter

Multiplier applied to a computed TOC curve to match core TOC.

Units: dimensionless Typical range: 0.5 to 2

Used in: TOC Analysis, TOC from Passey ΔlogR

TOC shift parameter

Constant added to a computed TOC curve to match core TOC.

Units: wt% Typical range: -2 to 2

Used in: TOC Analysis, TOC from Passey ΔlogR

Tortuosity factor \(a\) parameter

Empirical constant in the Archie relations that scales the formation factor. It is 1 in the simple form and about 0.6 to 0.9 in published sandstone fits.

Units: dimensionless Typical range: 0.6 to 1.0 Also known as: Archie a, tortuosity

Used in: Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Dual Water, Waxman-Smits, Rw Determination, Cementation and Saturation Exponents, Rxo and Sxo

Total net thickness \(H\) variable

Sum of the net thicknesses of the intervals included in the sum.

Units: ft

Used in: Pore Volume, HCPV, PHIH and KH

Total organic carbon \(\mathrm{TOC}\) variable

Mass fraction of organic carbon in the rock.

Units: wt% Typical range: 0 to 15 Also known as: TOC

Used in: TOC Analysis, TOC from Passey ΔlogR, TOC from Schmoker, TOC from Vernik, TOC from Faust, Combining TOC Estimates, Kerogen Volume and Maturity

Total porosity \(\phi_t\) variable

Total pore volume per unit bulk volume, including clay-bound water.

Units: v/v Typical range: 0 to 0.40 Also known as: PHIT

Used in: Porosity, Density Porosity, Sonic Porosity (Wyllie Time-Average), Sonic Porosity (Raymer-Hunt-Gardner), Gas and Organic-Matter Corrections, Mineral Inversion, Total vs Effective Porosity, Water Saturation, Dual Water, Waxman-Smits, Lucia, Total vs Effective Sw, Irreducible Water Saturation (Swirr), Swirr from Foil, Swirr from Lucia, Swirr from NMR, Permeability, Wyllie-Rose, Timur, Tixier, Thomas-Stieber, Triangulation, Horizontal and Vertical Resistivity Sw, UCS Correlations, Friction Angle, Biot Coefficient and Cohesion, Lucia Rock Fabric Number, Lucia m, Sonic-Derived Secondary Porosity, Foil and Buckles Models

Total porosity, dispersed shale \(\phi_{t,disp}\) variable

Total porosity of a sand whose pores are partly filled with shale. It falls as shale volume rises, until the pores are full.

Units: v/v Typical range: 0 to 0.4

Used in: Thomas-Stieber

Total porosity, laminated shale \(\phi_{t,lam}\) variable

Total porosity of a sand with laminated shale: the straight line from clean sand to pure shale.

Units: v/v Typical range: 0 to 0.4

Used in: Thomas-Stieber, Triangulation

Total porosity, structural shale \(\phi_{t,str}\) variable

Total porosity of a sand in which shale grains replace sand grains and the sand pore space is kept.

Units: v/v Typical range: 0 to 0.5

Used in: Thomas-Stieber

Total water saturation \(S_{w,t}\) variable

Water volume, including clay-bound water, as a fraction of the total pore volume.

Units: v/v Typical range: 0 to 1 Also known as: Sw total, SwT

Used in: Water Saturation, Dual Water, Waxman-Smits, Total vs Effective Sw

Triangulation weight \(w_c\) variable

Barycentric weight of a log sample toward the structural or dispersed vertex of the Thomas-Stieber triangle. It is the fraction of the sample that behaves like that end member, from 0 to 1.

Units: dimensionless Typical range: 0 to 1

Used in: Triangulation

True formation resistivity \(R_t\) curve

Resistivity of the uninvaded formation, taken from the deepest-reading resistivity curve after any needed corrections.

Units: ohm·m Typical range: 0.2 to 2000 Also known as: RT, RESD, ILD, LLD

Used in: Curve Aliasing and Mnemonics, Log Curve Cleanup, Unit Detection and Conversion, Resistivity Normalization, TOC from Passey ΔlogR, TOC from Faust, Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Dual Water, Waxman-Smits, Rw Determination, Rxo and Sxo, Deterministic Rules from Crossplots, Unsupervised Clustering, Curve Selection and Missing Data, Eaton (Sonic and Resistivity), Normal Compaction Trendlines, Lucia m

True vertical depth \(z\) variable

Vertical depth below the reference elevation.

Units: ft Typical range: 0 to 30000 Also known as: TVD, DEPT

Used in: TOC from Faust, Reservoir Pressure and Temperature, Eaton (Sonic and Resistivity), Bowers, Equivalent Depth, Overburden and Hydrostatic Pressure, Normal Compaction Trendlines, Vertical Stress, Breakout and Breakdown Pressures, Mud Weight Window, Permeability-Based and RQI/FZI Models, Free Water Level and Column Height

True vertical depth subsea \(z_{SS}\) variable

True vertical depth measured from mean sea level, positive downward. It equals true vertical depth below the depth reference minus the elevation of that reference above sea level.

Units: ft Also known as: TVDSS

Used in: Free Water Level and Column Height

U uncertainty \(\sigma_U\) parameter

Standard deviation of the error assigned to the volumetric photoelectric cross section in an inversion.

Units: barns/cm³ Typical range: 0.5 to 2

Used in: Inversion Uncertainty and Confidence

UCS from porosity (clean sandstone) \(\mathrm{UCS}_{V}\) variable

UCS estimated with a porosity relation derived for clean, well-consolidated sandstones of porosity below about 0.3.

Units: MPa Typical range: 5 to 250

Used in: UCS Correlations

UCS from sonic (sandstone, exponential) \(\mathrm{UCS}_{McN}\) variable

UCS estimated with an exponential relation of compressional slowness derived for Australian coal-measure sandstones.

Units: MPa Typical range: 5 to 200

Used in: UCS Correlations

UCS from sonic (shale, power law) \(\mathrm{UCS}_{H}\) variable

UCS estimated with a power-law relation of compressional slowness derived for North Sea Tertiary shales.

Units: MPa Typical range: 2 to 150

Used in: UCS Correlations

UCS from static modulus (sandstone) \(\mathrm{UCS}_{B}\) variable

UCS estimated with a linear relation of static Young's modulus for sandstones.

Units: MPa Typical range: 5 to 250

Used in: UCS Correlations

Unconfined compressive strength \(\mathrm{UCS}\) variable

Axial stress at which a cylindrical sample fails with no confining stress. Log estimates are empirical and must be calibrated to core tests.

Units: MPa Typical range: 2 to 250 Also known as: UCS, uniaxial compressive strength, C0

Used in: Geomechanics, UCS Correlations, Friction Angle, Biot Coefficient and Cohesion, Breakout and Breakdown Pressures, Mud Weight Window

Undersaturated oil compressibility \(c_o\) variable

Fractional volume change of an undersaturated oil per unit pressure change, at constant temperature.

Units: 1/psi Typical range: 5e-6 to 3e-5

Used in: Oil FVF and Bubble Point (Vasquez-Beggs)

Unloading concept

A decrease in vertical effective stress after the rock has reached a higher maximum, caused by fluid expansion such as gas generation or clay diagenesis, or by lateral transfer of pressure. Velocity and density do not retrace the loading trend.

Used in: Pore Pressure, Loading vs Unloading

Unloading switch parameter

0 uses the virgin (loading) curve everywhere. 1 uses the unloading curve where the velocity is below the velocity at onset.

Units: 0 or 1

Used in: Bowers

Upper mud weight limit \(MW_{\max}\) variable

Smaller of the minimum horizontal stress and the breakdown mud weight.

Units: ppg Typical range: 10 to 20

Used in: Wellbore Stability (1D Geomechanical Model), Mud Weight Window

Variable cementation exponent \(m_{v}\) variable

Cementation exponent that changes with porosity, in the Shell sandstone form. It is higher in tight rock and flattens toward 1.9 in porous clean sand.

Units: dimensionless Typical range: 1.9 to 2.3

Used in: Cementation and Saturation Exponents

Velocity at onset of unloading \(V_{max}\) parameter

Velocity on the virgin curve at the point where the observed velocity leaves the loading trend, which marks the maximum effective stress reached.

Units: ft/s Typical range: 8000 to 15000

Used in: Bowers, Loading vs Unloading

Velocity on the loading curve \(V_{load}\) variable

Velocity predicted by the virgin curve at a given effective stress.

Units: ft/s

Used in: Loading vs Unloading

Velocity on the unloading curve \(V_{unl}\) variable

Velocity predicted by the unloading curve at a given effective stress, for rock that has previously been at a higher stress.

Units: ft/s

Used in: Loading vs Unloading

Vertical effective stress \(\sigma'\) variable

Vertical stress carried by the rock framework: the overburden stress minus the pore pressure (Terzaghi).

Units: psi Typical range: 0 to 15000 Also known as: effective stress, sigma prime

Used in: Pore Pressure, Bowers, Equivalent Depth, Overburden and Hydrostatic Pressure, Loading vs Unloading

Vertical resistivity \(R_v\) variable

Resistivity measured with current flowing across the bedding. In a laminated sequence it is higher than the horizontal resistivity.

Units: ohm·m Typical range: 0.5 to 200

Used in: Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Vertical shale resistivity \(R_{sh,v}\) parameter

Resistivity of the pure shale for current flowing across the bedding. It is equal to or higher than the horizontal shale resistivity.

Units: ohm·m Typical range: 1 to 20

Used in: Laminated Sand/Shale Analysis, Sand-Only Porosity and Resistivity, Horizontal and Vertical Resistivity Sw

Vertical stress \(S_{v}\) variable

Total stress from the weight of the overlying rock and water, the integral of bulk density times gravity over depth.

Units: psi Typical range: 1000 to 25000 Also known as: overburden stress, overburden

Used in: Wellbore Stability (1D Geomechanical Model), Vertical Stress, Horizontal Stress Methods, Near-Wellbore Stress State, Mud Weight Window

Vertical stress (equivalent mud weight) \(S_{v}^{\mathrm{ppg}}\) variable

Vertical stress expressed as an equivalent mud weight, the stress in psi divided by 0.052 times true vertical depth in feet.

Units: ppg Typical range: 16 to 22

Used in: Vertical Stress, Mud Weight Window

Vitrinite reflectance \(R_o\) parameter

Reflectance of vitrinite particles under oil immersion, a standard measure of thermal maturity measured on core or cuttings.

Units: %Ro Typical range: 0.4 to 3.0 Also known as: Ro, VRe

Used in: TOC Analysis, Kerogen Volume and Maturity

Voigt (arithmetic) mixed shear velocity \(V_{s,V}\) variable

Volume-weighted arithmetic mean of the lithology-line shear velocities.

Units: km/s

Used in: Greenberg-Castagna

Volumetric photoelectric cross section \(U\) curve

Photoelectric factor times bulk density. Unlike PE it mixes linearly with volume fractions.

Units: barns/cm³ Typical range: 0 to 15 Also known as: U, UMAA

Used in: Mineral Inversion, Inversion Endmember Parameters

Vp/Vs ratio \(V_{p}/V_{s}\) variable

Ratio of compressional to shear velocity. It equals the ratio of shear to compressional slowness and is about 1.5 in clean carbonate and 1.6 to 2.2 in shale and sandstone.

Units: dimensionless Typical range: 1.4 to 3.0

Used in: Dynamic Elastic Moduli

Vp/Vs ratio \(V_p/V_s\) variable

Ratio of compressional to shear velocity. A quality check on a modeled shear log.

Typical range: 1.5 to 2.5

Used in: Shear Log Modeling, Greenberg-Castagna, Castagna, Brocher, Eskandari, Carroll

Water depth \(h_{w}\) parameter

Depth of the sea floor below sea level for an offshore well, zero on land.

Units: ft Typical range: 0 to 10000

Used in: Vertical Stress

Water relative permeability \(k_{rw}\) variable

Ratio of the effective permeability to water at the given saturation to the base permeability.

Units: dimensionless Typical range: 0 to 1

Used in: Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

Water relative permeability endpoint \(k_{rw}^0\) parameter

Relative permeability to water at residual oil saturation, relative to the base permeability. Usually well below 1 in water-wet rock.

Units: dimensionless Typical range: 0.05 to 1

Used in: Brooks-Corey, Power Law, Fractional Flow

Water resistivity at 77 °F \(R_{w,77}\) variable

Water resistivity at the 77 °F reference temperature, from salinity.

Units: ohm·m Typical range: 0.02 to 5

Used in: Rw Determination

Water salinity \(C_{w}\) parameter

Dissolved salt content of formation or filtrate water, expressed as sodium chloride equivalent.

Units: ppm Typical range: 1000 to 250000 Also known as: salinity, NaCl equivalent

Used in: Rw Determination

Water saturation \(S_w\) variable

Fraction of the pore volume filled with water.

Units: v/v Typical range: 0 to 1 Also known as: SW

Used in: Water Saturation, Archie, Simandoux, Modified Simandoux, Indonesian, Waxman-Smits, Lucia, Rw Determination, Cementation and Saturation Exponents, Rxo and Sxo, Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values, Volumetrics, OOIP and OGIP, Pore Volume, HCPV, PHIH and KH, Carbonate Analysis, Lucia Rock Fabric Number, Lucia m, Lucia Permeability, Swirr and Sw, SwH Analysis, Permeability-Based and RQI/FZI Models, Relative Permeability, Brooks-Corey, Power Law, Irreducible and Residual Saturations, Fractional Flow

Water saturation cutoff \(S_{w,cut}\) parameter

Maximum water saturation for net reservoir to count as net pay.

Units: v/v Typical range: 0.4 to 0.7

Used in: Cutoffs Analysis, Gross Reservoir, Net Reservoir, and Net Pay, Choosing Cutoff Curves and Values

Water saturation from height-BVW power law \(S_{w,h}\) variable

Water saturation at a height above the free water level, from a power law of bulk volume water on height divided by total porosity.

Units: v/v Typical range: 0 to 1

Used in: Foil and Buckles Models

Water saturation, zone 1 parameter

Average water saturation over the net thickness of the first example interval.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Water saturation, zone 2 parameter

Average water saturation over the net thickness of the second example interval.

Units: v/v

Used in: Pore Volume, HCPV, PHIH and KH

Water viscosity \(\mu_w\) parameter

Dynamic viscosity of the formation water at reservoir conditions.

Units: cP Typical range: 0.3 to 1.0

Used in: Fractional Flow

Water-saturated resistivity \(R_0\) variable

Resistivity the rock would have if its pore space were fully filled with formation water. It is the water-line value used in the Pickett plot.

Units: ohm·m Typical range: 0.5 to 50 Also known as: R0, Ro (water line)

Used in: Archie

Wellbore (mud) pressure \(P_{w}\) parameter

Pressure the drilling fluid exerts on the wellbore wall at the depth analysed, the mud weight times 0.052 times true vertical depth.

Units: psi Typical range: 2000 to 20000 Also known as: mud pressure

Used in: Wellbore Stability (1D Geomechanical Model), Near-Wellbore Stress State, Breakout and Breakdown Pressures

Winland R35 \(R_{35}\) variable

Pore throat radius at 35% mercury saturation, estimated from porosity and permeability with the Winland regression. Used to classify pore throat size and rock quality.

Units: µm Typical range: 0.05 to 50 Also known as: R35

Used in: Hydraulic Flow Units and Winland R35

Within published range variable

1 if the compressional velocity is inside the range for which the regression was published, 0 otherwise.

Units: 0 or 1

Used in: Brocher

Young's modulus lower bound \(E_{\min}\) parameter

Modulus at which the normalised Young's modulus term of the Rickman brittleness index is zero. The published value is 1 million psi.

Units: GPa Typical range: about 6.9

Used in: Brittleness Indices

Young's modulus upper bound \(E_{\max}\) parameter

Modulus at which the normalised Young's modulus term of the Rickman brittleness index is one. The published value is 8 million psi.

Units: GPa Typical range: about 55.2

Used in: Brittleness Indices

ΔlogR separation \(\Delta\!\log R\) variable

Separation between the resistivity curve and a scaled porosity curve, in logarithmic resistivity units, relative to a non-source baseline. It is the quantity that Passey's method converts to TOC.

Units: decades (dimensionless) Typical range: 0 to 4 Also known as: DlogR, delta log R

Used in: TOC from Passey ΔlogR