A Spherical Model Calculation for Volumetric Response of Porous Rocks

Author:

Bhatt J. J.1,Carroll M. M.1,Schatz J. F.2

Affiliation:

1. Department of Mechanical Engineering, University of California, Berkeley, Calif.

2. Earth Sciences Division, Lawrence Livermore Laboratory, University of California, Livermore, Calif.

Abstract

The problem of external pressurization and release is solved for a hollow sphere of incompressible material obeying Coulomb’s law of failure. The resulting relations between the applied pressure and the porosity of the sphere are used in formulating constitutive relations for the volumetric response of porous rocks. The theoretical predictions are compared with experimental data for a sandstone and a tuff.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 31 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Carroll, Michael Mary;Encyclopedia of Continuum Mechanics;2020

2. Carroll, Michael Mary;Encyclopedia of Continuum Mechanics;2019

3. Time-dependent dilatancy for brittle rocks;Journal of Rock Mechanics and Geotechnical Engineering;2017-12

4. A theoretical derivation of the dilatancy equation for brittle rocks based on Maxwell model;Acta Geophysica;2017-01-28

5. Micromechanics of brittle faulting and cataclastic flow in Mount Etna basalt;Journal of Geophysical Research: Solid Earth;2016-06

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