Small deviations variations of ambient pressure
from initial pressure formation formation pressure lead to
the exponential changes in
porositypermeability:
| LaTeX Math Block |
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| anchor | YZKOWk |
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| alignment | left |
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k=k_0 \, e^{n_k \cdot c_r (p-p_0)} |
where where
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| LaTeX Math Inline |
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| body | n_k = \frac{\ln (k/k_0)}{\ln(\phi/\phi_0)} |
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| power degree of permeability-porosity correlation |
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formation permeability at reference pressure |
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| LaTeX Math Block |
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k = k_0 \left( \frac{\phi}{\phi_0} \right)^{n_k} |
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| formation porosity at reference pressure |
| reference pressure, usually picked up at initial formation pressure |
The substantial reduction of formation pressure leads to shrinking a lot of numerous pore throats and massive reduction in permeability deviating from exponential.
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