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
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
摘要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.
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.
(Mechanical wave propagation (including diffraction, scattering, and dispersion))
引用本文:
NIE Jian-Xin;YANG Ding-Hui. Viscoelastic BISQ Model for Low-Permeability Sandstone with Clay[J]. 中国物理快报, 2008, 25(8): 3079-3082.
NIE Jian-Xin, YANG Ding-Hui. Viscoelastic BISQ Model for Low-Permeability Sandstone with Clay. Chin. Phys. Lett., 2008, 25(8): 3079-3082.
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2008, Vol. 25 
