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

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

66 Citations (SciVal)

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 (US)
Pages (from-to)	8270-8281
Number of pages	12
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	62
Issue number	6 B
DOIs	https://doi.org/10.1103/PhysRevE.62.8270
State	Published - Dec 2000

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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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.",

author = "Andrade, {Jos{\'e} S.} and Buldyrev, {Sergey V.} and Dokholyan, {Nikolay V.} and Shlomo Havlin and King, {Peter R.} and Youngki Lee and Gerald Paul and Stanley, {H. Eugene}",

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T1 - Flow between two sites on a percolation cluster

AU - Andrade, José S.

AU - Buldyrev, Sergey V.

AU - Dokholyan, Nikolay V.

AU - Havlin, Shlomo

AU - King, Peter R.

AU - Lee, Youngki

AU - Paul, Gerald

AU - Stanley, H. Eugene

PY - 2000/12

Y1 - 2000/12

N2 - 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.

AB - 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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JF - Physical Review E

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Flow between two sites on a percolation cluster

Abstract

All Science Journal Classification (ASJC) codes

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