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 journalArticlepeer-review

66 Citations (SciVal)


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 languageEnglish (US)
Pages (from-to)8270-8281
Number of pages12
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6 B
StatePublished - Dec 2000

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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