Corrrelation

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(1)	$\begin{array}{l}\displaystyle \displaystyle c_r (\phi, p) = c_{ri} \cdot \frac{ \ln \left( \frac{ p_n }{p_{\rm max}} \right) }{ \ln \left( \frac{p_{ni}}{p_{\rm max}} \right) }\end{array}$

(2)	$\begin{array}{l}\displaystyle p_n = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p)\end{array}$

(3)	$\begin{array}{l}\displaystyle p_{ni} = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p_i)\end{array}$

where

$\begin{array}{l}p_i\end{array}$ is initial formation pressure

$\begin{array}{l}c_{ri}\end{array}$ is initial formation compressibility

(4)	$\begin{array}{l}\displaystyle p_{\rm min} = 151 \, {\rm psi}, \quad p_{\rm max} = 30,000 \, {\rm psi}\end{array}$

Reference

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