A statistical model of a porous medium with nonuniform pores

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Abstract
A random network model of a porous medium with nonuniform pores has been constructed. Nonuniformity is achieved by assigning two‐parameter distributions to pore radius and pore length. Statistical derivations result in expressions for bulk model properties which are consistent with known empirical behavior of porous media such as capillary pressure, hydraulic permeability, and longitudinal and transverse dispersion. A series of experiments is suggested whereby the parameters of porous media structure may be determined from observed macroscopic behavior by using the expressions developed in this paper.

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