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Fluid Flow in Porous Media Equations

Browse 13 fluid flow in porous media petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Fluid Flow in Porous Media equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Reservoir EngineeringFluid Flow in Porous Media

Darcy's Law for Linear Single-Phase Flow

q = \frac{0.001127 k A \Delta P}{\mu L}

Reservoir EngineeringFluid Flow in Porous Media

Drainage Radius from Area

r_e=\sqrt{\frac{43560A}{\pi}}

Reservoir EngineeringFluid Flow in Porous Media

Hydraulic Diffusivity Coefficient in Field Units

\eta=\frac{0.0002637k}{\phi\mu c_t}

Reservoir EngineeringFluid Flow in Porous Media

Interstitial Velocity from Flow Rate Area and Porosity

v_p=\frac{q}{\phi A}

Reservoir EngineeringFluid Flow in Porous Media

Linear Darcy Flow Conductance

C_L=\frac{0.001127kA}{\mu L}

Reservoir EngineeringFluid Flow in Porous Media

Low-Pressure Gas Radial Flow Rate

q_g=\frac{0.703kh(p_R^2-p_{wf}^2)}{T\mu_gz[\ln(r_e/r_w)-0.75+s]}

Reservoir EngineeringFluid Flow in Porous Media

Pseudosteady-State Radial Oil Flow Rate

q_o=\frac{kh(p_R-p_{wf})}{141.2\mu_oB_o[\ln(r_e/r_w)-0.75+s]}

Reservoir EngineeringFluid Flow in Porous Media

Pseudosteady-State Radial Productivity Index

J=\frac{kh}{141.2\mu_oB_o[\ln(r_e/r_w)-0.75+s]}

Reservoir EngineeringFluid Flow in Porous Media

Radial Pressure Distribution in Single-Phase Liquid Flow

p(r)=p_{wf}+\frac{141.2q_o\mu_oB_o}{kh}\ln\left(\frac{r}{r_w}\right)

Reservoir EngineeringFluid Flow in Porous Media

Single Phase Mobility from Permeability and Viscosity

\lambda=\frac{k}{\mu}

Reservoir EngineeringFluid Flow in Porous Media

Steady-State Radial Liquid Flow Rate

q_o=\frac{0.00708kh(p_e-p_{wf})}{\mu_oB_o[\ln(r_e/r_w)+s]}

Reservoir EngineeringFluid Flow in Porous Media

Steady-State Radial Liquid Productivity Index

J=\frac{0.00708kh}{\mu_oB_o[\ln(r_e/r_w)+s]}

Reservoir EngineeringFluid Flow in Porous Media

Superficial Velocity from Flow Rate and Area

u_s=\frac{q}{A}