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c_r = \frac{1}{\phi} \frac{\partial \phi}{\partial p}


The above correlation assumes constant  which holds true in many practical applications.


It stays constant for small pressure variations:

LaTeX Math Block
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c_r(p) = \rm const


For wide range pressure variations formation compressibility the dependence of ambient pressure can not be neglected:

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c_r = c_r(p)


The pressure dependence can be estimated experimentally or via popular compressibility-porosity correlations on

LaTeX Math Inline
bodyc_r(\phi)