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Correlation between absolute permeability 

LaTeX Math Inline
bodyk_a(p)
 at a given reservoir pressure 
LaTeX Math Inline
bodyp
  and initial absolute permeability 
LaTeX Math Inline
bodyk_{ai}
 at initial formation pressure 
LaTeX Math Inline
bodyp_i


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

CorrelationCorrrelationName/AuthorScope


LaTeX Math Block
anchorExp
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k_a(p) = k_i{ai} \cdot \exp [ - \gammac_k \cdot (p_i - p) ]



Yilmaz and Nur


Narrow Wide pressure range below

LaTeX Math Inline
bodyp_i: \quad p\leq p_i

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

)

where

LaTeX Math Inline
bodyp_i
is initial formation pressure

LaTeX Math Inline
bodyc_{ri}
is initial formation compressibility

Dobrynin

Sandstone

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


See also

...

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Absolute permeability

[Geomechanical Rock Modelling]