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Titlebook: Applications of Percolation Theory; Muhammad Sahimi Book 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusi

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Characterization of Porous Media and Materials,ally surprising. After all, in their original paper on the foundation of percolation theory, Broadbent and Hammersley (1957) had expressed the hope that their theory would someday be used for solving some practical problems involving porous media. But, despite their hope, explicit use of the concept
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Connectivity of Fracture and Fault Networks,but macroscopically homogeneous. If measured on length scales larger than the so-called representative elementary volume, which sets the scale for macroscopic homogeneity, the properties of such porous media are independent of their size. Macroscopically heterogeneous porous media—those in which the
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Earthquakes, Critical Phenomena, and Percolation,societal consequences. Thus, understanding factors that contribute to an earthquake and predicting when and where it may occur have been problems of fundamental importance for hundreds of years. But, although the first documented earthquake occurred in 1177 B.C. in China, it was only in the nineteen
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Flow and Transport Properties of Porous Materials,ia, from smallest to the largest length scales. We already described in Chaps. . and . some of such applications to characterization of the morphology of porous media and of connectivity of fracture networks. In the present chapter, we describe application of percolation concepts to modeling of flow
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Multiphase Fluid Flow in Porous Media,recovery of oil, extraction of thermal energy from geothermal reservoirs, and storage and sequestration of CO. in geological formations, to transmission of water by building materials, flow and evaporation of brine in soil and the resulting salt precipitation in the pore space, packed-bed chemical r
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Percolation in Evolving Media,ere passive in the sense that they did not cause any changes in the morphology of the porous media. In the present chapter, we address the problem of application of percolation to several phenomena in composite materials and porous media that cause dynamical changes in the morphology of their pore s
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Vector Percolation and Rigidity of Materials,hat are used for computing electrical conductivity, permeability, and diffusivity of disordered materials and porous media, are described and discussed. We pay particular attention to elastic percolation networks (EPNs), which, as mentioned in Chap. ., are networks in which each bond is an elastic e
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