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Fluid Flow in Porous Media Calculators

Use 13 fluid flow in porous media petroleum engineering calculators with formulas, inputs, outputs, units, and source references.

Fluid Flow in Porous Media calculators 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=0.001127kAΔPμLq = \frac{0.001127 k A \Delta P}{\mu L}
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Reservoir EngineeringFluid Flow in Porous Media

Drainage Radius from Area

re=43560Aπr_e=\sqrt{\frac{43560A}{\pi}}
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Reservoir EngineeringFluid Flow in Porous Media

Hydraulic Diffusivity Coefficient in Field Units

η=0.0002637kϕμct\eta=\frac{0.0002637k}{\phi\mu c_t}
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Reservoir EngineeringFluid Flow in Porous Media

Interstitial Velocity from Flow Rate Area and Porosity

vp=qϕAv_p=\frac{q}{\phi A}
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Reservoir EngineeringFluid Flow in Porous Media

Linear Darcy Flow Conductance

CL=0.001127kAμLC_L=\frac{0.001127kA}{\mu L}
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Reservoir EngineeringFluid Flow in Porous Media

Low-Pressure Gas Radial Flow Rate

qg=0.703kh(pR2−pwf2)Tμgz[ln⁡(re/rw)−0.75+s]q_g=\frac{0.703kh(p_R^2-p_{wf}^2)}{T\mu_gz[\ln(r_e/r_w)-0.75+s]}
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Reservoir EngineeringFluid Flow in Porous Media

Pseudosteady-State Radial Oil Flow Rate

qo=kh(pR−pwf)141.2μoBo[ln⁡(re/rw)−0.75+s]q_o=\frac{kh(p_R-p_{wf})}{141.2\mu_oB_o[\ln(r_e/r_w)-0.75+s]}
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Reservoir EngineeringFluid Flow in Porous Media

Pseudosteady-State Radial Productivity Index

J=kh141.2μoBo[ln⁡(re/rw)−0.75+s]J=\frac{kh}{141.2\mu_oB_o[\ln(r_e/r_w)-0.75+s]}
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Reservoir EngineeringFluid Flow in Porous Media

Radial Pressure Distribution in Single-Phase Liquid Flow

p(r)=pwf+141.2qoμoBokhln⁡(rrw)p(r)=p_{wf}+\frac{141.2q_o\mu_oB_o}{kh}\ln\left(\frac{r}{r_w}\right)
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Reservoir EngineeringFluid Flow in Porous Media

Single Phase Mobility from Permeability and Viscosity

λ=kμ\lambda=\frac{k}{\mu}
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Reservoir EngineeringFluid Flow in Porous Media

Steady-State Radial Liquid Flow Rate

qo=0.00708kh(pe−pwf)μoBo[ln⁡(re/rw)+s]q_o=\frac{0.00708kh(p_e-p_{wf})}{\mu_oB_o[\ln(r_e/r_w)+s]}
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Reservoir EngineeringFluid Flow in Porous Media

Steady-State Radial Liquid Productivity Index

J=0.00708khμoBo[ln⁡(re/rw)+s]J=\frac{0.00708kh}{\mu_oB_o[\ln(r_e/r_w)+s]}
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Reservoir EngineeringFluid Flow in Porous Media

Superficial Velocity from Flow Rate and Area

us=qAu_s=\frac{q}{A}
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