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边界元法模拟含随机分布裂纹介质中波的传播

Boundary element modeling of elastic waves propagating in the media with randomly distributed cracks

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【作者】 韩开锋曾新吾

【Author】 HAN Kai-feng1,ZENG Xin-wu2(1.College of Science,National University of Defense Technology,Changsha 410073,China;2.College of Optoelectronic Science and Engineering,National University of defense Technology,Changsha 410073,China)

【机构】 国防科技大学理学院国防科技大学光电科学与工程学院 湖南长沙410073湖南长沙410073

【摘要】 利用二维弹性动力边界积分方程解决了地震波在含裂纹介质中的散射问题。给出了二维空间中裂纹呈平均分布、正态分布和指数分布模型图。从记录到的波场散射图看到,裂纹不同空间分布会导致散射特性的极大不同。而且,当裂纹横向长度不变,纵横比增加时发现,波场通过该裂纹区时能量被俘获的更多,波传播持续时间更短,衰减更快,但由于这种分布能量更容易集中,使得波通过裂纹区后产生了较强的局部能量。

【Abstract】 The problem about scattering of elastic waves by cracks or inclusions is important especially in seismology and geophysics.Numerical modeling of seismic data has long been recognized to be a powerful interpretive tool for understanding the complicated wave propagation.In this paper,a 2D BEM program was used to model seismic waves excited by a point explosive source propagating in the media with randomly distributed cracks.The accuracy of the method was well checked by means of computing waves propagating in the medium without any cracks with the corresponding theoretical solution.It was shown by the first example that different spatial distributions of the same scatters led to different wavefield characteristics.The effects of aspect ration of cracks with the same spatial distribution was shown in the second example.It was concluded that a lot of energy was trapped in areas with crack clustering.When the size of the clusters were small,most of the energy would propagate through the whole model,and high clustering would result in more attenuation when waves passed through the areas.With increasing of the aspect ration of cracks,the attenuation increased but some local energy might be concentrated.

【基金】 国家自然科学基金资助项目(40574056)
  • 【文献出处】 岩土工程学报 ,Chinese Journal of Geotechnical Engineering , 编辑部邮箱 ,2006年07期
  • 【分类号】O347.41
  • 【被引频次】5
  • 【下载频次】135
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