Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model

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A model of random polycrystals of porous laminates is introduced to provide a means for studying geomechanical properties of double-porosity reservoirs. Calculations on the resulting earth reservoir model can proceed semi-analytically for studies of either the poroelastic or transport coefficients. Rigorous bounds of the Hashin-Shtrikman type provide estimates of overall bulk and shear moduli, and thereby also provide rigorous error estimates for geomechanical constants obtained from up-scaling based on a self-consistent effective medium method. The influence of hidden (or presumed unknown) microstructure on the final results can then be evaluated quantitatively. Detailed descriptions of the use of the model and ... continued below

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PDF-file: 22 pages; size: 0.2 Mbytes

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Berryman, J G April 11, 2005.

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A model of random polycrystals of porous laminates is introduced to provide a means for studying geomechanical properties of double-porosity reservoirs. Calculations on the resulting earth reservoir model can proceed semi-analytically for studies of either the poroelastic or transport coefficients. Rigorous bounds of the Hashin-Shtrikman type provide estimates of overall bulk and shear moduli, and thereby also provide rigorous error estimates for geomechanical constants obtained from up-scaling based on a self-consistent effective medium method. The influence of hidden (or presumed unknown) microstructure on the final results can then be evaluated quantitatively. Detailed descriptions of the use of the model and some numerical examples showing typical results for the double-porosity poroelastic coefficients of a heterogeneous reservoir are presented.

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PDF-file: 22 pages; size: 0.2 Mbytes

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  • Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics; Journal Volume: 30; Journal Issue: 5

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  • Report No.: UCRL-JRNL-211303
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 881889
  • Archival Resource Key: ark:/67531/metadc873217

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  • April 11, 2005

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  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 28, 2016, 6:40 p.m.

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Berryman, J G. Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model, article, April 11, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc873217/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.