| 适用于更广渗透率范围含泥质砂岩的广义粘弹性BISQ模型 |
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| 引用本文： | 聂建新,杨顶辉,杨慧珠.适用于更广渗透率范围含泥质砂岩的广义粘弹性BISQ模型[J].应用地球物理,2008,5(4):249-260. |
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| 作者姓名： | 聂建新 杨顶辉 杨慧珠 |
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| 作者单位： | 北京理工大学爆炸科学与技术国家重点实验室，清华大学数学科学系，清华大学地震波勘探开发研究所 |
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| 基金项目： | the National Science Fund for Distinguished Young Scholars of China，the National 863 Project of China，the National Basic Research Program of China |
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| 摘 要： | To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ （Biot/squirt） model is developed for wave propagation in clay-bearing sandstones based on Dvorkin＇s elastic BISQ model. The present model is extended to a wide range of permeabilities （k 〉 0.05 mD） by introducing a dimensionless correction factor for viscoelastic parameters, defined as a function of the permeability and the clay content. We describe the frame＇s stress-strain relationship of the clay-bearing sandstones by the differential constitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we finally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. The comparison of numerical results and experimental data shows that the generalized viscoelastic BISQ model is applicable for modeling the wave propagation in most of the sandstones mainly bearing kaolinite clay.
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| 关 键 词： | 沙岩 渗透性 粘弹性 地球物理学 |
A generalized viscoelastic Biot/squirt model for clay-bearing sandstones in a wide range of permeabilities |
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| Jianxin Nie,Dinghui Yang,Huizhu Yang.A generalized viscoelastic Biot/squirt model for clay-bearing sandstones in a wide range of permeabilities[J].Applied Geophysics,2008,5(4):249-260. |
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| Authors: | Jianxin Nie Dinghui Yang Huizhu Yang |
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| Institution: | [1]State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China [2]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China [3]Institute of Seismic Exploration, Tsinghua University, Beijing 100084, China |
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| Abstract: | To simultaneously take into account the Biot-flow mechanism, the squirt-flow mechanism, and the frame-viscoelasticity mechanism, a generalized viscoelastic BISQ (Biot/squirt) model is developed for wave propagation in clay-bearing sandstones based on Dvorkin's elastic BISQ model. The present model is extended to a wide range of permeabilities (k>0.05 mD) by introducing a dimensionless correction factor for viscoelastic parameters, defined as a function of the permeability and the clay content. We describe the frame's stress-strain relationship of the clay-bearing sandstones by the differential constitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we finally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. The comparison of numerical results and experimental data shows that the generalized viscoelastic BISQ model is applicable for modeling the wave propagation in most of the sandstones mainly bearing kaolinite clay. |
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| Keywords: | viscoelasticity BISQ model clay-bearing sandstones phase velocity attenuation coefficient |
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