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Wright State University

Earth Sciences

2011

Recursive Averaging

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The Kozeny-Carman Equation Considered With A Percolation Threshold, Lee Brenson Porter Ii Jan 2011

The Kozeny-Carman Equation Considered With A Percolation Threshold, Lee Brenson Porter Ii

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A procedure has been developed for calculating permeability (k) from the Kozeny-Carmen equation, a procedure that links ideas from percolation theory with the ideas of Koltermann and Gorelick (1995) and Esselburn et al. (2011). The approach focuses on the proportion of coarser pores that are occupied by finer sediments and defines a threshold proportion. For proportions below this threshold, the unoccupied coarser pores percolate. Following the ideas of Koltermann and Gorelick (1995), the effective grain-size term in the Kozeny-Carman equation is calculated using the geometric mean if below the threshold proportion, and with the harmonic mean if above. Following ideas …