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LaTeX Math Block |
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\phi_e(\mathbf{r}, \ p) = \phi_{e0}(\mathbf{r}) \exp \left[ \int_{p_i}^p c_r\phi(p) \, dp \right] |
where
This leads to the effect of Porosity Shrinkage.
Since the pore compressibility is very low (~ crϕ = 0.5 ÷ 1.5 GPa-1) for all subsurface rocks in petroleum reservoirs the LaTeX Math Block Reference |
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can be written as:
LaTeX Math Block |
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\phi_e(\mathbf{r}, \ p) = \phi_{e0}(\mathbf{r}) \cdot \bigleft[ 1 + c_r\phi \, (p-p_i) + 0.5 \, c_\phi \, (p-p_i)^2 \bigright] |
Most Subsurface E&P Disciplines (except Petrophysics) usually omit index "e" and denote Effective porosity as .
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