Effects of the Biot and the squirt-flow coupling interaction on anisotropic elastic waves |
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Authors: | Dinghui Yang Zhongjie Zhang |
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Affiliation: | (1) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, China;(2) Institute of Geophysics, Chinese Academy of Sciences, 100101 Beijing, China |
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Abstract: | Considering the velocity anisotropy of the solid/fluid relative motion and employment of the BISQ theory[1] based on the one-dimensional porous isotropic case, we establish a two-phase anisotropic elastic wave equation to simultaneously include the Biot and the squirt mechanisms in terms of both the basic principles of the fluid’s mass conservation and the elastic-wave dynamical equations in the two-phase anisotropic rock. Numerical results, while the Biot-flow and the squirt-flow effects are simultaneously considered in the transversely isotropic (TI) poroelastic medium, show that the attenuation of the quasi P-wave and the quasi SV-wave strongly depend on the permeability anisotropy, and the attenuation behavior at low and high frequencies is contrary. Meanwhile, the attenuation and dispersion of the quasi P-wave are also affected seriously by the anisotropic solid/fluid coupling additional density. |
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Keywords: | two-phase anisotropy Biot flow squirt-flow elastic wave attenuation and dispersion BISQ model |
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