A Nonlinear Compaction Model for Sandstone

[+] Author and Article Information
E. P. Fahrenthold

Department of Mechanical Engineering, University of Texas, Austin, Tex. 78712

K. E. Gray

Department of Petroleum Engineering, University of Texas, Austin, Tex. 78712

J. Energy Resour. Technol 108(2), 146-155 (Jun 01, 1986) (10 pages) doi:10.1115/1.3231254 History: Received June 04, 1985; Revised December 19, 1985; Online October 22, 2009


Constitutive relations for the compaction behavior of porous sandstone have been formulated to describe the results of uniaxial and triaxial tests under reservoir pressure and temperature conditions. An expression for loading behavior in uniaxial compression is derived by treating the loading modulus as an independent variable. Similar relations are derived for uniaxial and triaxial compaction tests. Elastic unloading takes a quadratic form when described by incremental stresses and strains. The constitutive equations relate the values of the incremental stress and strain on loading and unloading using parameters that are a function of the state of prestress in the material. Published data on samples cored from three different wells at various depths exhibited a similar dependence of rock properties on mechanical and pore pressure loads.

Copyright © 1986 by ASME
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