Somerton method for formation permeability in coalbed methane reservoirs
Input(s)
\(\mathrm{k}_{\mathrm{o}}\): Original Permeability at Zero Net Stress \((\mathrm{mD})\)
\(\Delta \sigma\): Net Stress (psi)
Output(s)
k: Permeability \((\mathrm{mD})\)
Formula(s)
\[
\mathrm{k}=\mathrm{k}_{\mathrm{o}} *\left(\exp \left(\frac{(-0.003) * \Delta \sigma}{\mathrm{k}_{\mathrm{o}}^{0.1}}\right)+0.0002 *\left((\Delta \sigma)^{\frac{1}{3}}\right) *\left(\left(\mathrm{k}_{\mathrm{o}}\right)^{\frac{1}{3}}\right)\right)
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005, Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 226 .