A Statistical Study of Reservoir Permeability: Distributions, Correlations, and Averages

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Abstract
Summary: We propose that reservoir permeability may be statistically distributed in a variety of ways. Two hypothetical cases of reservoir layering are statistically analyzed. This analysis suggests that a restricted family of functions—all related to the normal distribution—can be used to represent permeability distributions. The log-normal distribution is one member of the family.Several sets of field data are analyzed. The analyses show that (1) permeability data are not necessarily log-normally distributed, (2) all the permeability distributions considered are closely approximated by members of the proposed family of functions, and (3) improved porosity/permeability relationships result when the permeability distribution is known.

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