Dimensionless time for semi-steady state flow in coal bed methane reservoirs

Input(s)

kgk_{g}: Effective Gas Compressibility (1/psi)

t\mathrm{t}: Time (h)

\emptyset: Porosity (fraction)

μgi\mu_{g i}: Gas Viscosity at Initial Pressure (cP)(\mathrm{cP})

ctic_{t i}: Total Compressibility at Initial Pressure (1/psi)(1 / \mathrm{psi})

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

Output(s)

tDAt_{D A}: Dimensionless Time (dimensionless)

Formula(s)

tDA=0.0002637kgtμgicti A\mathrm{t}_{\mathrm{DA}}=\frac{0.0002637 * \mathrm{k}_{\mathrm{g}} * \mathrm{t}}{\emptyset * \mu_{\mathrm{gi}} * \mathrm{c}_{\mathrm{ti}} * \mathrm{~A}}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 221 .


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