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Electrical Properties Calculators

Use 32 electrical properties petroleum engineering calculators with formulas, inputs, outputs, units, and source references.

Electrical-property calculations support Archie parameters, SP-log electrochemical potentials, resistivity, conductivity, geometric factors, and tool-response checks.

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PetrophysicsElectrical Properties

Apparent Resistivity

R=GtΔV12IR=G_t\frac{\Delta V_{12}}{I}
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PetrophysicsElectrical Properties

Archie Cementation Exponent from Formation Factor

m=ln⁡(F/a)ln⁡(1/ϕ)m=\frac{\ln(F/a)}{\ln(1/\phi)}
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Archie Formation Factor from Porosity

F=1ϕmF = \frac{1}{\phi^m}
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Archie Resistivity Index from Water Saturation

RI=Sw−nRI = S_w^{-n}
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Archie True Formation Resistivity

Rt=RwϕmSwnR_t = \frac{R_w}{\phi^m S_w^n}
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Archie Water Saturation from Formation Factor

Sw=(FRwRt)1/nS_w = \left(\frac{FR_w}{R_t}\right)^{1/n}
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Diffuse-Layer Thickness from Salt Concentration

xd=3n−1/2x_d=3n^{-1/2}
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Dual-Water Brine-Saturated Rock Conductivity

Co=1Fo(Cwf+fdlvQQv(Cwb−Cwf))C_o=\frac{1}{F_o}\left(C_{wf}+f_{dl}v_QQ_v(C_{wb}-C_{wf})\right)
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PetrophysicsElectrical Properties

Effect of Clay on Conductivity

Co=CwF+CsC_o=\frac{C_w}{F}+C_s
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Electric Resistance to Radial Current from a Wellbore

Re=ln⁡(re/rw)2πhσR_e=\frac{\ln(r_e/r_w)}{2\pi h\sigma}
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PetrophysicsElectrical Properties

Electrical Conductivity from Resistivity

σ=1ρe\sigma = \frac{1}{\rho_e}
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Electrical Resistivity from Resistance Geometry

R=rALR = r \frac{A}{L}
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Electrochemical Potential - SP Log

Ec=2tClRTFln⁡(a1a2)E_c=2t_{Cl}\frac{RT}{F}\ln\left(\frac{a_1}{a_2}\right)
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PetrophysicsElectrical Properties

Electrode Array Geometric Coefficient

Gt=4πr1r2r2−r1G_t=4\pi r_1\frac{r_2}{r_2-r_1}
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Electrokinetic Potential Across Mud Cake

Ek=xpyE_k=xp^y
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Formation Factor from Water-Filled Rock Resistivity

F=RoRwF = \frac{R_o}{R_w}
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Formation Water Resistivity from Resistivity Ratio Method

Rw=RtRxoRmfR_w=\frac{R_t}{R_{xo}}R_{mf}
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Generalized Archie Formation Factor with Lithology Coefficient

F=aϕmF=\frac{a}{\phi^m}
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Lateral Device Geometric Coefficient

GL=4πAMANMNG_L=4\pi AM\frac{AN}{MN}
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Membrane Potential for SP Log

Em=RTFln⁡(a1a2)E_m=\frac{RT}{F}\ln\left(\frac{a_1}{a_2}\right)
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Non-Ideal Shale Membrane Efficiency from Shale Resistivity

meff=0.47+0.3Rshm_{eff}=0.47+0.3R_{sh}
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Non-NaCl Static Self Potential from Ion Activities

Essp=−Klog⁡10(aNa+(aCa+aMg)0.5aNam+(aCam+aMgm)0.5)E_{ssp}=-K\log_{10}\left(\frac{a_{Na}+(a_{Ca}+a_{Mg})^{0.5}}{a_{Nam}+(a_{Cam}+a_{Mgm})^{0.5}}\right)
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PetrophysicsElectrical Properties

Normal Sonde Geometric Coefficient

GN=4πAMG_N=4\pi AM
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Relationship Between SSP and Rw - NaCl Predominant

SSP=−Ksplog⁡10(RmfeqRweq)SSP=-K_{sp}\log_{10}\left(\frac{R_{mfeq}}{R_{weq}}\right)
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Resistivity Bed Reflection Coefficient

CR=R1−R2R1+R2C_R=\frac{R_1-R_2}{R_1+R_2}
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Resistivity Index from True and Water-Filled Resistivity

I=RtRoI=\frac{R_t}{R_o}
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Rock Conductivity for Clean Water-Bearing Rocks

Co=CwFC_o=\frac{C_w}{F}
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Static Self Potential from NaCl Activities

Essp=−Klog⁡10(awamf)E_{ssp}=-K\log_{10}\left(\frac{a_w}{a_{mf}}\right)
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Static Spontaneous Potential from Equivalent Resistivities

SSP=−Klog⁡10(RmfeRwe)SSP=-K\log_{10}\left(\frac{R_{mfe}}{R_{we}}\right)
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Total Rock Conductivity from Water Saturation

Ct=CwSwϕEC_t=C_wS_w\phi E
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Waxman-Smits Clean-Sand Brine-Saturated Rock Conductivity

Co=1F(Ccl+Cw)C_o=\frac{1}{F}\left(C_{cl}+C_w\right)
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PetrophysicsElectrical Properties

Wellbore Electric Voltage Generation

V=Ve,w−ΔVeln⁡(r/rw)ln⁡(re/rw)V=V_{e,w}-\Delta V_e\frac{\ln(r/r_w)}{\ln(r_e/r_w)}
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