Darcy's Law Calculator
Q = kA(ΔP) / (μL). Calculate volumetric flow rate through porous media from permeability, cross-sectional area, pressure drop, viscosity, and length.
Flow Rate
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bbl/day
Flow Rate
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cc/sec
Darcy Velocity
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ft/day
How this was calculated
Darcy's Law: Q = kA(ΔP) / (μL)
Where k = permeability (mD), A = cross-sectional area (ft²), ΔP = pressure differential (psi), μ = viscosity (cp), L = flow length (ft).
Conversion: 1 mD·ft²·psi / (cp·ft) = 6.328e-3 bbl/day (reservoir barrels per day).
Darcy velocity = Q / A (superficial velocity, not actual pore velocity).
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Book a free strategy call →Understanding Darcy's Law
Darcy's Law describes fluid flow through porous media and is the foundation of reservoir engineering. Published by Henry Darcy in 1856, it relates volumetric flow rate to permeability, pressure gradient, fluid viscosity, and flow geometry.
Applications include calculating well inflow rates, estimating reservoir productivity, designing waterfloods, and evaluating formation damage. The law assumes single-phase, incompressible, laminar (low Reynolds number) flow.
For multiphase flow, effective permeability (k_eff = k * k_r) replaces absolute permeability, where k_r is the relative permeability of the flowing phase.
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