Modeling of a medium with hierarchic microcrack structure by the general singular approximation method

Details Modeling of a medium with hierarchic microcrack structure by the general singular approximation method Modeling of a medium with hierarchic microcrack structure by the general singular approximation method

Jul 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999pepi..114...15b&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 114, Issue 1-2, p. 15-24.

Physics

Scientific paper

In thermodynamic equilibrium, a fluid forms isolated inclusions in the grain corners, because of a low wettability of rocks. The influence of the isolated fluid inclusions on the physical properties of rocks at small fluid concentrations typical of the deep horizons of the crust must be small. However, there is a clear evidence of the considerable effect of the fluid component on the physical properties of rocks. Such an inconsistency may be explained assuming that, in some zones of the crust, the fluid phase is in a nonequilibrium state (at least occasionally) with a hierarchic interconnected microcrack structure. In order to model the macroscopic elastic properties and the electric conductivity of rocks with the various pore structures, we use the general singular approximation method (GSA), combined with a procedure of the sequential addition of cracks. This paper is concerned with the method and results of modeling, which confirm the aforesaid suggestion on the medium structure in equilibrium and nonequilibrium state. The observed anomalies in elastic properties and electric conductivity of lower crust are explained on the basis on the numerical results.

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