孔隙介质中快纵波的衰减特性和动力协调现象

计算物理 ›› 2002, Vol. 19 ›› Issue (3): 203-207.

孔隙介质中快纵波的衰减特性和动力协调现象

胡恒山¹, 王克协², 刘家琦¹

1. 哈尔滨工业大学数学系, 黑龙江哈尔滨, 150001;
2. 吉林大学物理系, 吉林长春, 130023

收稿日期:2001-01-31 修回日期:2001-04-10 出版日期:2002-05-25 发布日期:2002-05-25
作者简介:胡恒山(1962-),男,湖北仙桃,高级工程师,博士,从事孔隙介质中的声场和声电耦合场方向的研究.
基金资助:
国家自然科学基金(40074032)资助项目

ATTENUATION AND DYNAMIC COMPATIBILITY OF THE FAST COMPRESSIONAL WAVE IN POROUS MEDIUM

HU Heng-shan¹, WANG Ke-xie², LIU Jia-qi¹

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P R China;
2. Department of Physics, Jilin University, Changchun 130021, P R China

Received:2001-01-31 Revised:2001-04-10 Online:2002-05-25 Published:2002-05-25

摘要/Abstract

摘要： 依据Biot理论并采用前人的骨架模量孔隙度关系,计算了弹性波在孔隙介质中的衰减曲线,发现快纵波存在零衰减点.为解释这种现象,分析了孔隙流体相对于骨架运动的特点.结果表明,存在快纵波动力协调介质,快纵波在这种介质中传播时,流体和骨架之间无宏观相对位移,因此无论频率多高,流体粘滞系数多大,快纵波都不衰减.一个引申的结论是,在动力协调的渗透性孔隙介质中,即使存在双电层,快纵波也不产生流动电势.

关键词: Biot理论, 快纵波, 动力协调, 衰减系数, 流动电势

Abstract: It is shown how attenuation changes with porosity according to Biot theory.Frame modulus versus porosity relation based on experiment data set is adopted.It is found that attenuation coefficient of the fast compressional wave increases first,then decreases smoothly to zero,and finally increases sharply.To explain the zero-attenuation phenomenon,the relative motion between the solid frame and the pore fluid is studied when an elastic wave propagates in a fluid-saturated porous medium.It is shown that there can be porous formations that satisfy the dynamic compatibility condition.When a fast compressional wave propagates in such formations,there will be no relative motion between the two constituent phases,and thus no attenuation.A related revelation from this mechanism is about electrokinetic effect in porous media:there can be no coupling between the fast compressional wave and the electromagnetic wave in a dynamically compatible medium,even when there are surplus charges in the saturating fluid of the formation.

Key words: Biot theory, fast compressional wave, dynamic compatibility, attenuation coefficient, streaming potential

中图分类号:

O242
TE15

胡恒山, 王克协, 刘家琦. 孔隙介质中快纵波的衰减特性和动力协调现象[J]. 计算物理, 2002, 19(3): 203-207.

HU Heng-shan, WANG Ke-xie, LIU Jia-qi. ATTENUATION AND DYNAMIC COMPATIBILITY OF THE FAST COMPRESSIONAL WAVE IN POROUS MEDIUM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 19(3): 203-207.