Time to reach the semi-steady state for a gas well in a circular or square drainage area (1)

Input(s)

μgi\mu_{\mathrm{gi}}: Initial Gas Viscosity (cP)

\emptyset: Porosity (fraction)

cti\mathrm{c}_{\mathrm{ti}}: Initial Total Compressibility (1/psi)

A: Drainage Area (ft2)\left(\mathrm{ft}^{2}\right)

k\mathrm{k}: Effective Gas Permeability (mD)(\mathrm{mD})

Output(s)

tpss\mathrm{t}_{\mathrm{pss}}: Time (h)

Formula(s)

tpss=15.8μgicti Ak\mathrm{t}_{\mathrm{pss}}=\frac{15.8 * \emptyset * \mu_{\mathrm{gi}} * \mathrm{c}_{\mathrm{ti}} * \mathrm{~A}}{\mathrm{k}}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 194.


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