k(p) = k_i \cdot \exp [ - \gamma \cdot (p_i - p) ]
Yilmaz and Nur
Narrow pressure range below
\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) }
p_n = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p)
p_{ni} = p_{\rm min} + 1.75 \cdot \phi^{0.51} \cdot (p_{\rm max} - p_i)
where
is initial formation pressure
is initial formation compressibility
Dobrynin
Sandstone
Wide pressure range: pmin = 1 MPa < p < pmax = 200 MPa
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Absolute permeability