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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.
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.
Effects of Squirt-Flow in Cracks on Drained Bulk Modulus of Porous Media
Fifth Biot Conference on Poromechanics ; 2013 ; Vienna, Austria
Poromechanics V ; 145-153
2013-06-18
Conference paper
Electronic Resource
English
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