| 基于Biot-Squirt方程的波场模拟 |
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| 引用本文： | 杨宽德,杨顶辉,王书强.基于Biot-Squirt方程的波场模拟[J].地球物理学报,2002,45(6):853-861. |
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| 作者姓名： | 杨宽德 杨顶辉 王书强 |
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| 作者单位： | 1. 清华大学数学科学系,北京,100084;
2. 蒙自师范高等专科学校,云南 661100 |
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| 基金项目： | 国家自然科学基金 (4 0 1 740 1 2 )，中国石油天然气集团公司物探重点实验室开放基金 (GPKL0 1 0 4) . |
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| 摘 要： | Biot流动和喷射流动是含流体多孔隙介质中流体流动的两种重要力学机制,对地震波和声波的传播均产生重要影响. Dvorkin和Nur提出了同时包含Biot流动和喷射流动力学机制的统一的BISQ(Biot-Squirt)模型,基于这一模型,尽管有关弹性波在多孔隙介质中的衰减和频散问题已被广泛研究,然而,基于BISQ波传播方程的波场数值模拟至今仍未见报道. 本文从同时包含两种力学机制的孔隙弹性波方程出发,利用FCT有限差分法对含流体孔隙各向同性介质中的地震波和声波进行了数值模拟,并与基于Biot流动的Biot理论之模拟结果进行比较. 数值模拟结果表明:同时包含Biot流动和喷射流动影响的地震波和声波速度比仅包含Biot流动作用的地震波和声波速度慢,慢P波的衰减比根据Biot理论模拟的慢P波衰减更强.
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| 关 键 词： | Biot方程 BISQ方程 波场模拟 地震记录 FCT有限差分法. |
| 文章编号： | 0001-5733(2002)06-0853-09 |
WAVE-FIELD SIMULATION BASED ON THE Biot-Squirt EQUATION |
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| YANG KUAN-DE ,YANG DING-HUI WANG SHU-QIANG.WAVE-FIELD SIMULATION BASED ON THE Biot-Squirt EQUATION[J].Chinese Journal of Geophysics,2002,45(6):853-861. |
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| Authors: | YANG KUAN-DE YANG DING-HUI WANG SHU-QIANG |
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| Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;
2. Mengzi Teacher's College, Yunnan 661100, China |
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| Abstract: | The Biot-flow and squirt-flow mechanisms are two important mechanisms of fluid flow in porous media with fluids. The effects of the two mechanisms on propagation of seismic and acoustic waves are very important. Dvorkin and Nur presented an unified BISQ (Biot-Squirt) model, where the Biot and squirt-flow mechanisms are treated simultaneously. Although the attenuation and dispersion of the poroelastic waves have been widely investigated based on the model, so far as we know, no result about wave-field modeling based on the BISQ equation has been reported. In this paper, the wave-field simulation based on the BISQ equation in the isotropic medium is performed by using the FCT finite difference method, and the wave-field snapshots are compared with the results obtained from Biot's theory only including the Biot mechanism. Model results show that the seismic and acoustic propagations affected simultaneously by the Biot and squirt-flow mechanism are slower than those affected only by the Biot mechanism, and the slow P-wave attenuation based on the BISQ model is stronger than that based on the Biot model. |
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| Keywords: | Biot's equation BISQ equation Wave-field simulation Seismic record FCT finite difference method |
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