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LaTeX Math Block
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\displaystyle c_r(p) = c_{ri} \cdot \frac{ \ln \left( \frac{ p_n }{p_{\rm max}} \right)  }{ \ln \left( \frac{p_{ni}}{p_{\rm max}} \right)  }


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


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




Dobrynin



Sandstone

Wide pressure range: pmin = 1 MPa < p < pmax = 200 MPa


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But in case the reservoir pressure is changing substantially one may need to account for the effect it takes on pore compressibility which can be fairly approximated by by Dobrynin correlation

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Geomechanical Rock Modelling / Pore compressibility

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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