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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 correlation 

LaTeX Math Block Reference
anchork
assumes constant formation compressibility which in most practical applications holds true in a wide range of pressure variations all the way down to porosity cut-off and all the way up to the fracture point.The substantial reduction of formation pressure leads to shrinking a lot of pore throats and massive reduction in permeability deviating from exponential.

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