| Original Articles |
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Biot/Squirt Model in Viscoelastic Porous Media |
| CHENG Yuan-Feng1;YANG Ding-Hui2;YANG Hui-Zhu1 |
| 1Department of Engineering Mechanics, Tsinghua University, Beijing 100084
2Department of Mathematical Sciences, Tsinghua University, Beijing 100084 |
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| Cite this article: |
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CHENG Yuan-Feng, YANG Ding-Hui, YANG Hui-Zhu 2002 Chin. Phys. Lett. 19 445-448 |
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Abstract Viscoelastic wave equations are derived for both the Biot flow and squirt-flow involved. The relationship between phase velocity or attenuation of viscoelastic wave and macro parameters of the reservior is clarified in a porous extensive dilatancy anisotropy medium. Numerical models clearly demonstrate that the viscoelastic property of rocks, not the squirt-flow, causes the dispersion and attenuation in the low-frequency range. The attenuation of the quasi SV-wave, SH-wave and the quasi P-wave depend strongly on the directions of permeabilities. Furthermore, the trends of attenuation of the quasi P-wave fast and the quasi SV-wave are inversed in both the high-frequency range and the low-frequency range. Our numerical result is in agreement with the experimental result that was carried out for the Biot/Squirt model by Jorge [Geophys. 65(2000) 202].
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| Keywords:
91.60.Lj
46.40.Cd
83.60.Bc
91.30.Vc
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Published: 01 March 2002
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| PACS: |
91.60.Lj
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(Acoustic properties)
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46.40.Cd
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(Mechanical wave propagation (including diffraction, scattering, and dispersion))
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83.60.Bc
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(Linear viscoelasticity)
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91.30.Vc
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(Continental crust seismology)
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