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\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)  }


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p_n = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p)


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p_{ni} = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p_i)


where

LaTeX Math Inline
bodyp_i
is initial formation pressure and
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bodyc_{ri}
is initial formation compressibility

Dobrynin

Sandstone



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p_{\rm min} = 151 \, {\rm psi}, \quad p_{\rm max} = 30,000 \, {\rm psi}

where

LaTeX Math Inline
bodyp_i
is initial formation pressure and
LaTeX Math Inline
bodyc_{ri}
is initial formation compressibility

DobryninSandstone, wide range



Reference
[in Russian] Добрынин В.М., Деформации и изменения физических свойств коллекторов нефти и газа, Недра, Москва, 1970 г., 239 стр., УДК: 552.5; 553.98:551.25 (021)

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[in Russian] Добрынин В.М., Деформации и изменения физических свойств коллекторов нефти и газа, Недра, Москва, 1970 г., 239 стр., УДК: 552.5; 553.98:551.25 (021)