含夾雜雙重孔隙介質(zhì)中散射問題的研究

1、 含夾雜雙重孔隙介質(zhì)中散射問題的研究 THE RESEARCH ON SCATTERING BY A INCLUSION IN DOUBLE-POROSITY MEDIUM （申請上海交通大學碩士學位論文） 碩 士 生：梁宏斌 指導教師：趙社戌 教授 申請學位：工學碩士 專 業(yè)：固體力學 班 級：B1001093 學 號：1100109076 上海交通大學船舶海洋與建筑工程學院 2012 年 5 月 ABSTRACT

2、THE RESEARCH ON SCATTERING BY A INCLUSION IN DOUBLE-POROSITY MEDIUM ABSTRACT For the past few years, the research on the theory of elastic wave in double-porosity medium are paid more and more attention by scholars, esp

3、ecially the problem that scattering of elastic wave by inclusion in double-porosity medium is always a challenging subject in scientific community, it has a far-reaching significance in both physics, seismology and mecha

4、nics. Many situation in engineering have to take the correlations of scattering effect and mechanics properties of complex porous medium into account, for example, nondestructive testing of composite material, mineral pr

5、ospecting and oil exploration, technique of radar and sonar. Although there are many scholars did a fair amount of effective work on the problem that scattering of elastic wave by inclusion in homogeneously elastic mediu

6、m and single-porosity medium so far, there are few studies about double-porosity medium, especially the scattering of elastic wave by inclusion in double-porosity medium. In this paper, base on the extended Biot's th

7、eory of poroelasticity and double-porosity model which founded by Berryman and Wang, by using the wave expansion method, the scattering of longitudinal wave by a spherical ideal fluid inclusion in double-porosity medium

8、is investigated. An explicit analytical solutions for the harmonic amplitude, displacement field and stress field of the problem were obtained. Then the paper investigated the spherical harmonic amplitude of P1~P3 wave,

9、S wave in plane problem and SH wave, SV wave in three-dimension problem in the scattered field by numerical analysis, and summarized the rules. The results of the calculation show that matrix porosity, fracture porosity,

10、 radius of inclusion and matrix permeability have obvious influence on spherical harmonic amplitude of scattered wavefield. And the influence of matrix porosity, fracture porosity, radius of inclusion and matrix permeabi