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Small deviations of ambient pressure
from initial pressure formation
lead to the exponential changes in porosity:
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k=k_0 \, e^{n_k \cdot c_r (p-p_0)} |
where where
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permeability at reference pressure (usually picked up at initial reservoir pressure ) |
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| = \frac{\ln (k/k_0)}{\ln(\phi/\phi_0)} |
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| power degree of permeability-porosity correlation |
The correlation
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k = k_0 \left( \frac{\phi}{\phi_0} \right)^{n_k} |
The above correlation assumes constant formation compressibility which in most practical applications holds true in a wide range of pressure variations all the way down to porosity cut-off and all the way up to the fracture point.
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