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

Abstract

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.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
881889
Report Number(s):
UCRL-JRNL-211303
Journal ID: ISSN 0363-9061; IJNGDZ; TRN: US200613%%177
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
International Journal for Numerical and Analytical Methods in Geomechanics
Additional Journal Information:
Journal Volume: 30; Journal Issue: 5; Journal ID: ISSN 0363-9061
Country of Publication:
United States
Language:
English
Subject:
03 NATURAL GAS; 15 GEOTHERMAL ENERGY; 58 GEOSCIENCES; 42 ENGINEERING; 54 ENVIRONMENTAL SCIENCES; MICROSTRUCTURE; POLYCRYSTALS; SHEAR; TRANSPORT; Geothermal Legacy

Citation Formats

Berryman, J G. Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model. United States: N. p., 2005. Web.
Berryman, J G. Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model. United States.
Berryman, J G. 2005. "Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model". United States. https://www.osti.gov/servlets/purl/881889.
@article{osti_881889,
title = {Geomechanical Analysis with Rigorous Error Estimates for a Double-Porosity Reservoir Model},
author = {Berryman, J G},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/881889}, journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
issn = {0363-9061},
number = 5,
volume = 30,
place = {United States},
year = {Mon Apr 11 00:00:00 EDT 2005},
month = {Mon Apr 11 00:00:00 EDT 2005}
}