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Correlation between pore compressibility 

LaTeX Math Inline
bodyc_r\phi(p)
at a given pressure 
LaTeX Math Inline
bodyp
  and initial pore compressibility 
LaTeX Math Inline
body--uriencoded--c_{ri}%7B\phi i%7D
at initial formation pressure 
LaTeX Math Inline
bodyp_i
 :

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

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


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