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Permeability Equations

Browse 13 permeability petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Permeability equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Reservoir EngineeringPermeability

Average Permeability for Linear Flow - Series Beds

k_{avg} = \frac{L_1 + L_2 + L_3}{\frac{L_1}{k_1} + \frac{L_2}{k_2} + \frac{L_3}{k_3}}

Reservoir EngineeringPermeability

Average Permeability for Linear Flow in Layered Beds

k_{avg} = \frac{k_1 A_1 + k_2 A_2 + k_3 A_3}{A_1 + A_2 + A_3}

Reservoir EngineeringPermeability

Average Permeability for Parallel-Layered Systems

k_{avg} = \frac{k_1 h_1 + k_2 h_2 + k_3 h_3}{h_1 + h_2 + h_3}

Reservoir EngineeringPermeability

Average Permeability in Radial Systems

k_{avg} = \frac{k_a \cdot k_e \cdot \ln\left(\frac{r_e}{r_w}\right)}{k_a \cdot \ln\left(\frac{r_e}{r_a}\right) + k_e \cdot \ln\left(\frac{r_a}{r_w}\right)}

Reservoir EngineeringPermeability

Binary Power-Average Effective Permeability

k_{eff}=\left[p_{ss}k_{ss}^m+(1-p_{ss})k_{sh}^m\right]^{1/m}

Reservoir EngineeringPermeability

Gas Permeability from Core Plug Pressure-Squared Flow

k = \frac{2\mu Q_{avg}P_{avg}L}{A(P_1^2-P_2^2)}

Reservoir EngineeringPermeability

Geometric Mean Permeability from Log Average

k_g=\exp\left(\frac{\ln k_1+\ln k_2+\ln k_3}{3}\right)

Reservoir EngineeringPermeability

Jones-Owens Klinkenberg Slip Factor

b = 12.639 k_{\infty}^{-0.33}

Reservoir EngineeringPermeability

Klinkenberg Apparent Gas Permeability

k_g = k_l\left(1+\frac{b}{p}\right)

Reservoir EngineeringPermeability

Kozeny Permeability from Porosity and Specific Surface Area

k=\frac{\phi}{k_zS_p^2}

Reservoir EngineeringPermeability

Kozeny-Carman Permeability from Grain Diameter

k=\frac{B\phi^3d^2}{\tau}

Reservoir EngineeringPermeability

Lognormal Effective Permeability from Geometric Mean

k_{eff}=k_g\exp\left[\left(\frac{1}{2}-\frac{1}{d}\right)\sigma_{\ln k}^2\right]

Reservoir EngineeringPermeability

Modified Kozeny-Carman Permeability with Percolation Porosity

k=B\frac{(\phi-\phi_c)^3}{(1+\phi_c-\phi)^2}d^2