Radial flow by Darcy's law
Well flow rate for radial liquid flow by Darcy's law, in barrels per day.
q = C × π × k × h × (Pe − Pw) / (μ × ln(Re / Rw))Error in the original: the code multiplies by an extra factor π that is not in the displayed formula. The constant 7.08 already contains 2π (7.08 ≈ 2π × 1.127), so the result is π (≈3.14) times too high. The calculation is kept as in the original; for the correct result set C = 2.2536 (7.08 / π).
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Unit converter for this formulaPermeability · Length · Pressure · Viscosity · Liquid rate
- mD1
- D0.001
- µm²0.000986923
- 10⁻³ µm²0.986923
1 D = 0.9869 µm². Russian-language reports often give permeability in 10⁻³ µm², which is almost mD (1 mD = 0.9869 · 10⁻³ µm²).
More in Inflow and flow in porous media
Liquid flow rate in linear flow by Darcy's law, in barrels per day.
Well flow rate for radial flow by Darcy's law, corrected by the oil formation volume factor, in cubic metres per day.
Theoretical productivity index of a vertical well in a bounded drainage area (circle, square, rectangle) from permeability, thickness, fluid properties and skin, and the same without skin. The drainage radius comes from the area per well.
Steady-state productivity index of a horizontal well by Joshi's equation with permeability anisotropy, compared with a vertical well in the same drainage area.
Results are engineering estimates from standard formulas; for design decisions check them against the codes, project documents and specialists' calculations. The formulas carried over from the original set are unchanged, and their errors are described in the notes.