介观非均匀双相介质中局域流对弹性波传播的影响

doi:10.19596/j.cnki.1001-246x.7847

计算物理 ›› 2019, Vol. 36 ›› Issue (3): 298-304.DOI: 10.19596/j.cnki.1001-246x.7847

介观非均匀双相介质中局域流对弹性波传播的影响

石建成, 郑佩, 高哲

上海理工大学机械工程学院, 上海 200093

收稿日期:2018-02-11 修回日期:2018-06-06 出版日期:2019-05-25 发布日期:2019-05-25
作者简介:石建成(1991-),男,硕士研究生,研究方向为复杂孔隙介质中弹性波的传播,E-mail:jiancheng_shi@163.com

Effect of Mesoscopic Flow on Elastic Wave Propagation in Heterogeneous Double Porosity Media

SHI Jiancheng, ZHENG Pei, GAO Zhe

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2018-02-11 Revised:2018-06-06 Online:2019-05-25 Published:2019-05-25

摘要/Abstract

摘要： 针对弹性波衰减与速度频散问题，基于Pride和Berryman的介观非均匀双重孔隙介质理论模型，推导一组用位移表示，另一组用位移及孔压表示的全新形式的耦合动力学方程组，并基于双孔介质模型，推导出弹性波的相速度与逆品质因子的解析式，重点讨论介观尺度下的局域流动对弹性波传播特性的影响.数值算例表明：快波的速度随着频率的增加而迅速增加，且介观流动损失比Biot损失至少高一个数量级；同时局域流对慢波也有着不同程度的影响.证实了局域流是波能损失和相速度频散的主要因素.

关键词: 介观非均匀, 非饱和, 双孔隙-双渗透率介质, 介观流动, 波的传播

Abstract: Based on mesoscopic heterogeneity theory model of Pride and Berryman, coupled dynamical equations were deduced with a group of displacements, and a group with displacement and pore pressure. With double-porosity model, elastic wave expression of phase velocity and inverse quality factor are deduced. Influence of mesoscopic flow on propagation of elastic waves was discussed. Numerical examples show that velocity of fast wave increases rapidly with increase of frequency, and mesoscopic flow loss is at least higher one order of magnitude than Biot loss. Besides, mesoscopic flow has different influence on slow wave. It is proved that mesoscopic flow is the main factor of wave energy loss and velocity dispersion.

Key words: mesoscopic heterogeneity, patchy saturation, double-porosity medium, mesoscopic flow, wave propagation

中图分类号:

P631

石建成, 郑佩, 高哲. 介观非均匀双相介质中局域流对弹性波传播的影响[J]. 计算物理, 2019, 36(3): 298-304.

SHI Jiancheng, ZHENG Pei, GAO Zhe. Effect of Mesoscopic Flow on Elastic Wave Propagation in Heterogeneous Double Porosity Media[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(3): 298-304.

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介观非均匀双相介质中局域流对弹性波传播的影响

Effect of Mesoscopic Flow on Elastic Wave Propagation in Heterogeneous Double Porosity Media

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