Kozeny–Carman and empirical formula for the permeability of computer rock models

Fourier Dzar Eljabbar Latief and Umar Fauzi
Physics of Complex Systems, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Jalan Ganesha 10, 40132, Bandung, Indonesia

International Journal of Rock Mechanics & Mining Sciences 50 (2012) 117–123

Increasing interest in physical properties of rocks for purposes such as reservoir engineering and environmental geophysics has stimulated increased use of computer modeling of rock microstructure. Three-dimensional rock microstructure models based on spherical and non-spherical grain models are presented in this paper. The models are used to calculate the permeability. Important parameters such as tortuosity, which is difficult to measure in the laboratory, can be calculated easily by means of Lattice Boltzmann Method applied to the constructed models. The Kozeny–Carman formula gives lower prediction than the measured permeability. Modified power laws of porosity give better estimates if divided into two separate formulas, one for porosities lower than 20% and another for porosities higher than 25%. This new empirical formula gives better prediction for all models, except pigeon-hole.

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