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Viscoelastic BISQ Model for Low-Permeability Sandstone with Clay |
| NIE Jian-Xin1, YANG Ding-Hui2 |
| 1State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 1000812Department of Mathematical Sciences, Tsinghua University, Beijing 100084 |
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| Cite this article: |
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NIE Jian-Xin, YANG Ding-Hui 2008 Chin. Phys. Lett. 25 3079-3082 |
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Abstract A modified BISQ (Biot/Squirt) model for wave propagation in low-permeability sandstone is developed by introducing the viscoelastic mechanism of a porous skeleton into Dvorkin's model. The linear viscoelasticity of the Kelvin--Voigt constitutive law is employed to describe the stress-strain relation of a solid frame with clay while the ultrasonic waves propagate through the fluid-saturated sandstone. The phase velocity and attenuation of two p-waves are given based on the present BISQ model. The comparisons between numerical results and experimental data indicate that our viscoelastic model is more realistic and feasible for wave propagation in the low-permeability sandstone, especially with clay, than traditional BISQ models.
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| Keywords:
91.60.Lj
83.60.Bc
46.40.Cd
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Received: 18 February 2008
Published: 25 July 2008
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| PACS: |
91.60.Lj
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(Acoustic properties)
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83.60.Bc
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(Linear viscoelasticity)
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46.40.Cd
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(Mechanical wave propagation (including diffraction, scattering, and dispersion))
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