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波由单相弹性介质向横观各向同性液体饱和多孔介质传播时的反射与透射

REFLECTION AND TRANSMISSION OF ELASTIC WAVES PROPAGATING FROM A SINGLE-PHASE ELASTIC MEDIUM TO A TRANSVERSELY ISOTROPIC LIQUID-SATURATED POROUS MEDIUM

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【作者】 魏征汪越胜章梓茂

【Author】 Wei Zheng Wang Yuesheng Zhang Zimao (Institute of Engineering Mechanics,Northern Jiaotong University, Beijing, 100044)

【机构】 北方交通大学工程力学所北方交通大学工程力学所 北京100044北京100044

【摘要】 研究了弹性波从单相各向同性弹性介质向双相各向异性液体饱和介质的传播问题 .基于Biot的孔隙介质理论 ,并考虑动态渗透率 ,对以任意角度、任意频率入射的弹性波 ,解析地导出了在界面上的透射角、透射波波速和衰减系数 ,给出了各波在界面上的能量分配 ,数值计算了反射、透射系数与入射角、孔隙度等的关系曲线 .

【Abstract】 The elastic wave propgating from a single phase elastic medium to a transversely isotropic liquid saturated porous medium is studied. Based on the Biots theory of porous media, and by taking dynamical permeability into account, the analytical expressions of the reflection and transmission coefficients are derived for the incident waves with arbitrary angles and frequencies. Numerical Investgations are carried out on the variations of the reflection and transmission coefficients with the angle of incidence wave as well as the frequency and porosity.The energy partition of waves at the interface is discussed. The results obtained may be relevent to seismic wave exploration.

【基金】 国家自然科学基金 (19372 0 0 1)资助课题 .
  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,2002年02期
  • 【分类号】O347.44
  • 【被引频次】18
  • 【下载频次】227
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