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Effects of squirt-flow in cracks on drained bulk modulus of porous media

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Abstract

The variation of the drained bulk modulus with frequency is examined by taking into account the local flow between cracks and pores. The magnitude of dispersion of the drained bulk modulus depends on crack density, while the relaxation frequency depends on aspect ratio. An expression of the underrelaxed drained bulk modulus on full frequency range is derived by assuming that the liquid pressure in cracks is underrelaxed and the pressure in the pores is zero. The underrelaxed drained bulk modulus is a complex quantity with its real part increasing with frequency. The liquid pressure in cracks approaches zero in the low-frequency limit and is thus relaxed. In the high-frequency limit, the drained bulk modulus is unrelaxed and its value is approximately equal to that predicated by Mavko-Jizba's relation.

Original languageEnglish
Title of host publicationPoromechanics V - Proceedings of the 5th Biot Conference on Poromechanics
Pages145-153
Number of pages9
DOIs
StatePublished - 2013
Event5th Biot Conference on Poromechanics, BIOT 2013 - Vienna, Austria
Duration: 10 Jul 201312 Jul 2013

Publication series

NamePoromechanics V - Proceedings of the 5th Biot Conference on Poromechanics

Conference

Conference5th Biot Conference on Poromechanics, BIOT 2013
Country/TerritoryAustria
CityVienna
Period10/07/1312/07/13

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