Somerton method for formation permeability in coalbed methane reservoirs

Input(s)

ko\mathrm{k}_{\mathrm{o}}: Original Permeability at Zero Net Stress (mD)(\mathrm{mD})

Δσ\Delta \sigma: Net Stress (psi)

Output(s)

k: Permeability (mD)(\mathrm{mD})

Formula(s)

k=ko(exp((0.003)Δσko0.1)+0.0002((Δσ)13)((ko)13))\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 .


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