On the Relationship between Stress and Elastic Strain for Porous and Fractured Rock

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Modeling the mechanical deformations of porous and fractured rocks requires a stress-strain relationship. Experience with inherently heterogeneous earth materials suggests that different varieties of Hook's law should be applied within regions of the rock having significantly different stress-strain behavior, e.g., such as solid phase and various void geometries. We apply this idea by dividing a rock body conceptually into two distinct parts. The natural strain (volume change divided by rock volume at the current stress state), rather than the engineering strain (volume change divided by the unstressed rock volume), should be used in Hooke's law for accurate modeling of the ... continued below

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Liu, Hui-Hai; Rutqvist, Jonny & Berryman, James G. February 25, 2008.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 16 times . More information about this article can be viewed below.

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Modeling the mechanical deformations of porous and fractured rocks requires a stress-strain relationship. Experience with inherently heterogeneous earth materials suggests that different varieties of Hook's law should be applied within regions of the rock having significantly different stress-strain behavior, e.g., such as solid phase and various void geometries. We apply this idea by dividing a rock body conceptually into two distinct parts. The natural strain (volume change divided by rock volume at the current stress state), rather than the engineering strain (volume change divided by the unstressed rock volume), should be used in Hooke's law for accurate modeling of the elastic deformation of that part of the pore volume subject to a relatively large degree of relative deformation (i.e., cracks or fractures). This approach permits the derivation of constitutive relations between stress and a variety of mechanical and/or hydraulic rock properties. We show that the theoretical predictions of this method are generally consistent with empirical expressions (from field data) and also laboratory rock experimental data.

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  • Journal Name: International Journal of Rock Mechanicals and Mining Science

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  • Report No.: LBNL-178E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 948345
  • Archival Resource Key: ark:/67531/metadc897926

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  • February 25, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 30, 2016, 6:49 p.m.

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Liu, Hui-Hai; Rutqvist, Jonny & Berryman, James G. On the Relationship between Stress and Elastic Strain for Porous and Fractured Rock, article, February 25, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc897926/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.