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LaTeX Math Block
anchork
alignmentleft
k=k_0 \, e^{n_k \cdot c_r (p-p_0)}

where


LaTeX Math Inline
bodyc_r

formation compressibility

LaTeX Math Inline
bodyk_0

permeability at reference pressure 

LaTeX Math Inline
bodyp_0
 

(usually picked up at initial reservoir pressure 

LaTeX Math Inline
bodyp_0 = p_i
 )

LaTeX Math Inline
bodyn_k = \frac{\ln (k/k_0)}{\ln(\phi/\phi_0)}

power degree of permeability-porosity correlation


The substantial reduction of formation pressure leads to shrinking of numerous pore throats and massive reduction in permeability deviating from exponential.

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