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Elastic instabilities in dry, mesoporous minerals and their relevance to geological applications

Published online by Cambridge University Press:  05 July 2018

E. K. H. Salje ,
J. Koppensteiner ,
W. Schranz  and
E. Fritsch
E. K. H. Salje*
Affiliation:
Department of Earth Sciences, Downing Street, Cambridge CB2 3EQ, UK
J. Koppensteiner
Affiliation:
Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria
W. Schranz
Affiliation:
Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria
E. Fritsch
Affiliation:
Institut de Minéralogie et de Physique des Milieux Condensés, Université Pierre et Marie Curie, Université Paris Diderot, CNRS, IRD and IPGP, 140 rue de Lourmel, 75015 Paris, France
*
*E-mail: [email protected]
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Abstract

The collapse of minerals and mineral assemblies under external stress is modelled using a master curve where the stress failure is related to the relative, effective elastic moduli which are in turn related to the porosity of the sample. While a universal description is known not to be possible, we argue that for most porous materials such as shales, silica, cement phases, hydroxyapatite, zircon and also carbonates in corals and agglomerates we can estimate the critical porosity ϕc at which small stresses will lead to the collapse of the sample. For several samples we find ϕc ~0.5 with an almost linear decay of the bulk moduli with porosity at ϕc <0.5. The second scenario involves the persistence of elasticity for porosities until almost 1 whereby the bulk modulus decreases following a power law κ ~ (1–ϕm, m>2, between ϕ = 0.5 and ϕ = 1.

Keywords

Elasticityporous materialsuniversalitycalibration of elastic moduli
Type
Research Article
Information
Mineralogical Magazine , Volume 74 , Issue 2 , April 2010 , pp. 341 - 350
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2010

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