Transversely isotropic poroelasticity arising from thin isotropic layers

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Percolation phenomena play central roles in the field of poroelasticity, where two distinct sets of percolating continua intertwine. A connected solid frame forms the basis of the elastic behavior of a poroelastic medium in the presence of confining forces, while connected pores permit a percolating fluid (if present) to influence the mechanical response of the system from within. The present paper discusses isotropic and anisotropic poroelastic media and establishes general formulas for the behavior of transversely isotropic poroelasticity arising from laminations of isotropic components. The Backus averaging method is shown to provide elementary means of constructing general formulas. The results ... continued below

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16 p.

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Berryman, J.G. November 1, 1996.

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Percolation phenomena play central roles in the field of poroelasticity, where two distinct sets of percolating continua intertwine. A connected solid frame forms the basis of the elastic behavior of a poroelastic medium in the presence of confining forces, while connected pores permit a percolating fluid (if present) to influence the mechanical response of the system from within. The present paper discusses isotropic and anisotropic poroelastic media and establishes general formulas for the behavior of transversely isotropic poroelasticity arising from laminations of isotropic components. The Backus averaging method is shown to provide elementary means of constructing general formulas. The results for confined fluids are then compared with the more general Gassmann formulas that must be satisfied by any anisotropic poroelastic medium and found to be in complete agreement.

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16 p.

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OSTI as DE97053108

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  • Institute for Mathematics and Its Applications workshop on percolation and random media, Minneapolis, MN (United States), 12-16 Nov 1995

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  • Other: DE97053108
  • Report No.: UCRL-JC--126017
  • Report No.: CONF-9511288--1
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 496235
  • Archival Resource Key: ark:/67531/metadc677348

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  • November 1, 1996

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  • July 25, 2015, 2:21 a.m.

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  • Feb. 17, 2016, 7:26 p.m.

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Berryman, J.G. Transversely isotropic poroelasticity arising from thin isotropic layers, article, November 1, 1996; California. (digital.library.unt.edu/ark:/67531/metadc677348/: accessed December 11, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.