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Correlation Between Porosity and Water Saturation
Abstract
In oil/gas exploration, two important characteristics of rocks are porosity (percentage of “open space”) and water saturation (fraction of water in the pore space). Empirical observations have indicated that these two characteristics tend to be negatively correlated. The model developed here uses simulation and structural properties to “derive” this negative correlation. The fixed and random inputs lead to the formulas for porosity and water saturation (through another output, formation factor). Two random models are tested. The first uses uniformly distributed input values, whereas the second uses triangular distributions. Applying this finding, a typical volumetric analysis for oil reserves would contain the product phi*(1-Sw), where “phi” is porosity and “Sw” is water saturation. When modeling this (using the outputs from the current simulation as inputs for a model of oil reserves), the negative correlation should be considered.
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