Abstract
Two-component systems provide simple idealized models for complex anisotropic geological structures. Such artificial media are studied in terms of their “effective” transport coefficients. It is shown that means and power laws provide empirical descriptions for the transport tensor and relate it to statistical measurements of the composition and structure of the medium. General anisotropic media are related to statistically isotropic media. The isotropic medium is well described by an iterative mean for low contrasts of conductivities. This iterative mean is derived from the arithmetic and harmonic means. For high conductivity contrasts rules of percolation theory come to application which expand the classical concepts of percolation theory. At the percolation threshold both accesses fall together, as is illustrated by appropriate power laws for the effective transport coefficients.
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© 1996 Plenum Press, New York
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Kahle, O., Bayer, U. (1996). Effective Transport Properties of Artificial Rocks — Means, Power Laws, and Percolation. In: Geologic Modeling and Mapping. Computer Applications in the Earth Sciences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0363-3_5
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DOI: https://doi.org/10.1007/978-1-4613-0363-3_5
Publisher Name: Springer, Boston, MA
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