PETROPHYSICS EVALUATION: PERMEABILITY AND PORE THROAT ESTIMATION USING FUZZY LOGIC

1. Model Build and Data Distribution:
· The pore throat values are first divided into geo-categories (bins). Within each pore-throat category, a value is chosen as the best representative: Bins: 25 to 50. Perform a good model (the number of bins is directly related to the amount of available data). Details are shown in Figure 2.
· For a specific depth, the fuzzy possibilities should be determined separately for each of the measured logs.
· Their fuzzy possibilities are combined to calculate the combined fuzzy possibility for a specific bin.
The two highest fuzzy possibilities are taken as the most probable categories for those log measurements.
2. Fuzzy Model Results:
Through this iterative process, pore throats have been defined. On the permeability-porosity cross-plot (Figure 3, right), we can see different clouds, which show sub-parallel trends, resulting in a lees step of the total population, whose clouds are subdivided mainly by permeability value ranges. These pore throat arrangements present, in fact, a quite wide range of porosity but a relatively narrow range of permeability, allowing the rock type corresponding to each family pore throat line (based on Pittman R35 model. The Figure shows the final plot and porosity-permeability match, and on the right side shows the pore throat distribution according to Pittman R35 official equation in the field project.
Parameters applied: Log_R35_comb from cored wells, GR_norm, SXO, PEF_norm, RHOZ, APLC, and RLA1 curves.
The permeability-porosity cross plot for Pittman R35 pore throat ratio can be observed in the figure.
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