Small deviations variations of ambient formation pressure
from initial pressure formation lead to
the exponential changes in
porositypermeability:
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k=k_0 \, e^{n_k \cdot c_r (p-p_0)} |
where
| permeability at reference pressure
(usually picked up at initial reservoir pressure )| LaTeX Math Inline |
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body | p_0 = p_i | | 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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| LaTeX Math Block Reference |
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| formation permeability at reference pressure
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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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