Small variations of formation pressure
lead to exponential changes in permeability:
| LaTeX Math Block |
|---|
|
k=k_0 \, e^{n_k \cdot c_r (p-p_0)} |
where
| formation compressibility |
| LaTeX Math Inline |
|---|
| body | n_k = \frac{\ln (k/k_0)}{\ln(\phi/\phi_0)} |
|---|
|
| power degree of permeability-porosity correlation |
| formation permeability at reference pressure
|
| formation porosity at reference pressure |
| reference pressure, usually picked up at initial formation pressure |
The substantial reduction of formation pressure leads to shrinking of numerous 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.
