The Generalized Lame´ Problem—Part II: Applications in Poromechanics

Author:

Abousleiman Younane N.1,Kanj Mazen Y.2

Affiliation:

1. PoroMechanics Institute, School of Petroleum and Geological Engineering, School of Civil Engineering and Environmental Science, The University of Oklahoma, SEC P119, 100 E. Boyd Street, Norman, OK 73019-1014

2. Saudi Aramco, Exploration and Petroleum Engineering Technology Department, P.O. Box 9892, Dhahran, Eastern Province 31311, KSA

Abstract

The cylinder is the geometry most widely used in laboratory testing procedures for rocks and other geomaterials. This paper applies a unified and universal Lame´ solution to all the three recognized right-cylindrical problems in poromechanics. As such, the solution of the hollow-cylinder features itself converging asymptotically to the exact values predicted by the solutions of the two other essential problem setups in geomechanics; namely, the finite solid cylinder case and the borehole core in an infinite medium. The time-dependent response derivations were “scripted” within the frameworks of the Biot’s theory of linear poroelasticity and facilitated by the governing generalized plane-strain (GPS) principle.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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