Transport properties of rocks from statistics and percolation |
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| Authors: | Y Gueguen and J Dienes |
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| Institution: | (1) Laboratoire de Physique des Matériaux, Ecole et Observatoire de Physique du Globe, 67084 Strasbourg Cedex, France;(2) Theoretical Division, Los Alamos National Laboratory, 87545 Los Alamos, New Mexico |
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| Abstract: | Two simplified microstructural models that account for permeability and conductivity of low-porosity rocks are compared. Both models result from statistics and percolation theory. The first model assumes that transport results from the connection of 1D objects or  pipes ; the second model assumes that transport results from the connection of 2D objects or cracks. In both cases, statistical methods permit calculation of permeability k and conductivity  , which are dependent on three independent microvariables: average pipe (crack) length, average pipe radius (crack aperture), and average pipe (crack) spacing. The degree of connection is one aspect of percolation theory. Results show that use of the mathematical concept of percolation and use of the rock physics concept of tortuosity are equivalent. Percolation is used to discuss k and near the threshold where these parameters vanish. Relations between bulk parameters (permeability, conductivity, porosity) are calculated and discussed in terms of microvariables. |
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| Keywords: | permeability electrical conductivity porosity microstructure |
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