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Title: Differential effective medium modeling of rock elastic moduli with critical porosity constraints

Abstract

Rocks generally have a percolation porosity at which they lose rigidity and fall apart. Percolation behaviour is a purely geometrical property, independent of any physical properties, and is a powerful constraint on any valid velocity-porosity relation. The authors show how the conventional Differential Effective Medium (DEM) theory can be modified to incorporate percolation of elastic moduli in rocks by taking the material at the critical porosity as one of the constituents of a two-phase composite. Any desired percolation porosity can be specified as an input. In contrast, the conventional DEM model always predicts percolation at a porosity of either 0 or 100 percent. Most sedimentary rocks however have intermediate percolation porosities and are therefore not well represented by the conventional theory. The modified DEM model incorporates percolation behavior, and at the same time is always consistent with the Hashin-Shtrikman bounds. The predictions compare favorably with laboratory sandstone data. 24 refs., 3 figs.

Authors:
;  [1]; ;  [2]
  1. Stanford Univ. CA (United States)
  2. Lawrence Livermore National Lab., CA (United States)
Publication Date:
OSTI Identifier:
183353
Resource Type:
Journal Article
Journal Name:
Geophysical Research Letters
Additional Journal Information:
Journal Volume: 22; Journal Issue: 5; Other Information: PBD: 1 Mar 1995
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; ROCKS; ELASTICITY; POROSITY; MATHEMATICAL MODELS

Citation Formats

Mukerji, T, Mavko, G, Berryman, J, and Berge, P. Differential effective medium modeling of rock elastic moduli with critical porosity constraints. United States: N. p., 1995. Web. doi:10.1029/95GL00164.
Mukerji, T, Mavko, G, Berryman, J, & Berge, P. Differential effective medium modeling of rock elastic moduli with critical porosity constraints. United States. https://doi.org/10.1029/95GL00164
Mukerji, T, Mavko, G, Berryman, J, and Berge, P. Wed . "Differential effective medium modeling of rock elastic moduli with critical porosity constraints". United States. https://doi.org/10.1029/95GL00164.
@article{osti_183353,
title = {Differential effective medium modeling of rock elastic moduli with critical porosity constraints},
author = {Mukerji, T and Mavko, G and Berryman, J and Berge, P},
abstractNote = {Rocks generally have a percolation porosity at which they lose rigidity and fall apart. Percolation behaviour is a purely geometrical property, independent of any physical properties, and is a powerful constraint on any valid velocity-porosity relation. The authors show how the conventional Differential Effective Medium (DEM) theory can be modified to incorporate percolation of elastic moduli in rocks by taking the material at the critical porosity as one of the constituents of a two-phase composite. Any desired percolation porosity can be specified as an input. In contrast, the conventional DEM model always predicts percolation at a porosity of either 0 or 100 percent. Most sedimentary rocks however have intermediate percolation porosities and are therefore not well represented by the conventional theory. The modified DEM model incorporates percolation behavior, and at the same time is always consistent with the Hashin-Shtrikman bounds. The predictions compare favorably with laboratory sandstone data. 24 refs., 3 figs.},
doi = {10.1029/95GL00164},
url = {https://www.osti.gov/biblio/183353}, journal = {Geophysical Research Letters},
number = 5,
volume = 22,
place = {United States},
year = {1995},
month = {3}
}