One f of the SHF models:
| Excerpt |
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| LaTeX Math Block |
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| s_w{wi}(h) = 1 - a \exp \Bigleft( -\Bigleft(\frac{b}{h-h_{FWL}+cd}\Bigright)^d^c \Bigright) |
where model parameters | LaTeX Math Inline |
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| body | \{ a, \ b, \ c, \ d \} |
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are calibrated on water saturation from OH logs for each lithofacies or petrotype individually. The coefficient is related to FWL correction but usually set the same for all lithofacies / petrotypes of a given reservoir unit.
If core data is abundant then one can build a reasonable correlation of model parameters on porosity porosity and/or permeability :| LaTeX Math Block |
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| a = a(\phi, k_a), \; b = b(\phi, k_a), \; c = c(\phi, k_a) |
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See also
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Physics / Fluid Dynamics / Percolation
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling / Petrophysics / Saturation Height Function (SHF) / SHF mathematical models
[ Basic reservoir properties ]
References
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Harrison, B., and X.D. Jing. "Saturation Height Methods and Their Impact on Volumetric Hydrocarbon in Place Estimates." Paper presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, September 2001. doi: https://doi.org/10.2118/71326-MS
