Pore volume through squared method in tight gas reservoirs

Input(s)

$\mu_{\mathrm{g}, \text { avg: }} AverageGasViscosityAverage Gas Viscosity(\mathrm{cP})$

zavg\mathrm{z}_{\mathrm{avg}}: Compressibility Factor (dimensionless)

qi\mathrm{q}_{\mathrm{i}}: Initial Gas Rate (MSCF/day)

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

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

Pi\mathrm{P}_{\mathrm{i}}: Initial Pressure (psi)

Pwf\mathrm{P}_{\mathrm{wf}}: Bottom-hole Flowing Pressure (psi)

Di\mathrm{D}_{\mathrm{i}}: Decline Rate (day1)\left(\mathrm{day}^{-1}\right)

T\mathrm{T}: Temperature (R)\left({ }^{\circ} \mathrm{R}\right)

Output(s)

PV: Pore Volume (dimensionless)

Formula(s)

PV=28.27 Tμg, avg zavgμgicti(Pi2Pwf2)(qiDi)\mathrm{PV}=\frac{28.27 * \mathrm{~T} * \mu_{\mathrm{g}, \text { avg }} * \mathrm{z}_{\mathrm{avg}}}{\mu_{\mathrm{gi}} * \mathrm{c}_{\mathrm{ti}} *\left(\mathrm{P}_{\mathrm{i}}^{2}-\mathrm{P}_{\mathrm{wf}}^{2}\right)} *\left(\frac{\mathrm{q}_{\mathrm{i}}}{\mathrm{D}_{\mathrm{i}}}\right)

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 252 .


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