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Small deviations of ambient pressure  p(t, {\bf r}) from initial pressure fromarion  p_0(t, {\bf r}) lead to the exponential changes in permeability:

(1) k=k_0 \, e^{\beta_p (p-p_0)}


The substantial reduction of formation pressure leads to shrinking a lot of pore throats and massive reduction in permeability deviating from exponential.

The substantial increase of formation pressure leads to microfracturing and massive increase in permeability deviating from exponential.


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