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Title: Up-scaling analysis with rigorous error estimates for poromechanics in random polycrystals of porous laminates

Conference ·

A detailed analytical model of random polycrystals of porous laminates has been developed. This approach permits detailed calculations of poromechanics constants as well as transport coefficients. The resulting earth reservoir model allows studies of both geomechanics and fluid permeability to proceed semi-analytically. 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 unknown microstructure on the final results can then be evaluated quantitatively. Descriptions of the use of the model and some examples of typical results on the poromechanics of such a heterogeneous reservoir are presented.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
US Department of Energy (US)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
15016332
Report Number(s):
UCRL-PROC-208970; TRN: US200513%%138
Resource Relation:
Conference: Presented at: 3rd Biot Conference on Poromechanics, Norman, OK (US), 05/24/2005--05/27/2005; Other Information: PBD: 3 Jan 2005
Country of Publication:
United States
Language:
English

References (1)

Exact results for generalized Gassmann’s equations in composite porous media with two constituents journal December 1991

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