Volumetric heat capacity of a reservoir

Input(s)

\(\mathrm{M}_{\mathrm{s}}\): Volumetric Heat Capacity of Solids (btu/ft \({ }^{3} \mathrm{~F}\) )

\(\emptyset\): Porosity (fraction)

\(\mathrm{S}_{\mathrm{o}}\): Oil Saturation (fraction)

\(\mathrm{M}_{\mathrm{o}}\): Volumetric Heat Capacity of Oil (btu/ \(\mathrm{ft}^{3} \mathrm{~F}\) )

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

\(\mathrm{M}_{\mathrm{w}}\): Volumetric Heat Capacity of Water (btu/ft \(\mathrm{ft}^{3} \mathrm{~F}\) )

\(\mathrm{S}_{\mathrm{g}}\): Saturation of Gas (fraction)

f: Fraction of non-condensable Gases (fraction)

\(\mathrm{M}_{\mathrm{g}}\): Volumetric Heat Capacity of Gases (btu/ft \({ }^{3} \mathrm{~F}\) )

\(\rho_{\mathrm{s}}\): Density of Solids \((\mathrm{g} / \mathrm{cc})\)

\(\mathrm{C}_{\mathrm{w}}\): Isobaric Specific Heat of Water (btu/lb F)

\(\Delta \mathrm{T}\): Temperature Differential \((\mathrm{K})\)

\(\mathrm{L}_{\mathrm{v}}\): Latent Heat of Vaporization (btu/lb)

Output(s)

\(\mathrm{M}_{\mathrm{r}}\): Volumetric Heat Capacity of Reservoir (btu/ft \(\mathrm{ft}^{3} \mathrm{~F}\) )

Formula(s)

\[ \mathrm{M}_{\mathrm{r}}=(1-\varnothing) * \mathrm{M}_{\mathrm{s}}+\varnothing * \mathrm{M}_{\mathrm{o}} * \mathrm{~S}_{\mathrm{o}}+\varnothing * \mathrm{~S}_{\mathrm{w}} * \mathrm{M}_{\mathrm{w}}+\emptyset * \mathrm{~S}_{\mathrm{g}} *\left(\mathrm{f} * \mathrm{M}_{\mathrm{g}}+(1-\mathrm{f}) *\left(\frac{\mathrm{L}_{\mathrm{v}} * \rho_{\mathrm{s}}}{\Delta \mathrm{T}}+\rho_{\mathrm{s}} * \mathrm{C}_{\mathrm{w}}\right)\right) \]

Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Chapter: 12, Page: 164.


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