Flow between two sites on a percolation cluster

José S. Andrade; Sergey V. Buldyrev; Nikolay V. Dokholyan; Shlomo Havlin; Peter R. King; Youngki Lee; Gerald Paul; H. Eugene Stanley

doi:10.1103/PhysRevE.62.8270

Flow between two sites on a percolation cluster

José S. Andrade, Sergey V. Buldyrev, Nikolay V. Dokholyan, Shlomo Havlin, Peter R. King, Youngki Lee, Gerald Paul, H. Eugene Stanley

Department of Physics - at Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

The porous media modeling using bond percolation and percolation theory, were used to study the flow of fluids in porous media in two and three dimensions between two wells separated by a Euclidean distance. The distribution function of the shortest path connecting the two sites was investigated, and a scaling ansatz was proposed. By calculating the relevant distribution functions and scaling relations, the different constants and exponents, that characterize the formulated relations, were determined.

Original language	English
Pages (from-to)	8270-8281
Number of pages	12
Journal	Physical Review E
Volume	62
Issue number	6 B
DOIs	https://doi.org/10.1103/PhysRevE.62.8270
State	Published - Dec 2000

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10.1103/PhysRevE.62.8270

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abstract = "The porous media modeling using bond percolation and percolation theory, were used to study the flow of fluids in porous media in two and three dimensions between two wells separated by a Euclidean distance. The distribution function of the shortest path connecting the two sites was investigated, and a scaling ansatz was proposed. By calculating the relevant distribution functions and scaling relations, the different constants and exponents, that characterize the formulated relations, were determined.",

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AU - King, Peter R.

AU - Lee, Youngki

AU - Paul, Gerald

AU - Stanley, H. Eugene

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Flow between two sites on a percolation cluster

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