三维层状孔隙介质中弹性波的一种积分表达式Ⅰ：理论  

An integral expression of elastic waves in 3D stratified porous media Ⅰ:Theory

作　　者：李娜[1,2] 任恒鑫[1,3] 黄清华[4] 陈晓非[1,3] 

机构地区：[1]中国科学技术大学地球和空间科学学院,合肥230026 [2]西方科奇,斯伦贝谢中国分公司,北京100015 [3]中国科学技术大学地震与地球内部物理实验室,合肥230026 [4]北京大学地球与空间科学学院,北京100871

出　　处：《地球物理学报》2014年第6期1891-1899,共9页Chinese Journal of Geophysics

基　　金：国家自然科学基金面上项目(41274053,41274054);国家杰出青年基金项目(41025014)资助

摘　　要：孔隙介质弹性波传播理论在地球物理勘探、地震工程和岩土动力学等领域有着广泛的应用.而孔隙介质中的弹性波受孔隙度、渗透率、流体黏滞系数等参数的影响,因此研究波场的传播特征将有助于分析和提取这些信息.本文在Biot理论的基础上,针对三维层状孔隙介质模型,利用在合成理论地震图的研究中已经被证实具有稳定、高效且适用范围较广的Luco-Apsel-Chen(LAC)广义反透射方法,给出了弹性波场的一种积分形式的半解析解,可通过数值方法高效、准确地计算层状孔隙介质中的理论波场,所以该积分形式的半解析解可为三维层状孔隙介质波场传播特征的理论数值模拟研究提供一种新的途径和手段.Theory of propagation of elastic waves in porous media has extensive application in many important areas,e.g.geophysical exploration,earthquake engineering,and geotechnical dynamics.Elastic waves in porous media are affected by medium properties e.g.porosity,permeability,and fluid viscosity,therefore,research of propagation characteristics of wave fields could be helpful to the analysis and determination of media properties.The Luco-Apsel-Chen（LAC） generalized reflection and transmission method has already affirmed its stability,efficiency,and wide application scope in the research of synthesis of theoretical seismogram.Based on Biot theory and aiming at three-dimensional（3D） stratified porous media,we use the LAC generalized reflection and transmission method to derive an integral expression of halfanalytical solution for elastic waves,which could be used to efficiently and accurately compute the theoretical elastic wave fields in porous media by numerical method.This integral expression provides an alternative way for the theoretical research and numerical simulation of propagation characteristics of wave fields in 3D stratified porous media.

关 键 词：层状孔隙介质 弹性波 半解析解 广义反透射方法 

分 类 号：P315[天文地球—地震学]