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Correlation between pore compressibility 

LaTeX Math Inline
bodyc_r(p)
at a given pressure 
LaTeX Math Inline
bodyp
  and initial pore compressibility 
LaTeX Math Inline
bodyc_{ri}
at initial formation pressure 
LaTeX Math Inline
bodyp_i
 :

CorrelationName/AuthorScope


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


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




Dobrynin

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



In many practical cases the pore compressibility can be considered as poorly dependent on reservoir pressure variation.

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 Dobrynin correlation

LaTeX Math Block Reference
anchorDobrynin
.

See also


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