Remaining gas in place in coalbed methane reservoirs

Input(s)

A: Drainage Area (acres)

Ø: Porosity (fraction)

h\mathrm{h}: Thickness (ft)

Bw\mathrm{B}_{\mathrm{w}}: Water Formation Volume Factor (bbl/STB)

Wp\mathrm{W}_{\mathrm{p}}: Cumulative Water Produced (bbl)

Swi\mathrm{S}_{\mathrm{wi}}: Water Saturation (fraction)

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

P: Current Reservoir Pressure (psi)

cf\mathrm{c}_{\mathrm{f}}: Formation Compressibility (1/psi)(1 / \mathrm{psi})

cw\mathrm{c}_{\mathrm{w}}: Water Compressibility (1/psi)

Eg\mathrm{E}_{\mathrm{g}}: Gas Expansion Factor (SCF/bbl)(\mathrm{SCF} / \mathrm{bbl})

Output(s)

GR\mathrm{G}_{\mathrm{R}}: Remaining Gas at Reservoir Pressure (SCF)

Formula(s)

GR=7758 A hEg((Bw Wp7758 A h)+(1Swi)(PiP)(cf+cw Swi)1(PiP)cf)\mathrm{G}_{\mathrm{R}}=7758 * \mathrm{~A} * \mathrm{~h} * \emptyset * \mathrm{E}_{\mathrm{g}} *\left(\frac{\left(\frac{\mathrm{B}_{\mathrm{w}} * \mathrm{~W}_{\mathrm{p}}}{7758 * \mathrm{~A} * \mathrm{~h} * \emptyset}\right)+\left(1-\mathrm{S}_{\mathrm{wi}}\right)-\left(\mathrm{P}_{\mathrm{i}}-\mathrm{P}\right) *\left(\mathrm{c}_{\mathrm{f}}+\mathrm{c}_{\mathrm{w}} * \mathrm{~S}_{\mathrm{wi}}\right)}{1-\left(\mathrm{P}_{\mathrm{i}}-\mathrm{P}\right) * \mathrm{c}_{\mathrm{f}}}\right)

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 227.


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