| 无反射波动方程模拟堤防复杂构造的波传问题 |
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| 引用本文： | 杜祥,杨慧珠,张世恭.无反射波动方程模拟堤防复杂构造的波传问题[J].清华大学学报(自然科学版),2002,42(8):1098-1101. |
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| 作者姓名： | 杜祥 杨慧珠 张世恭 |
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| 作者单位： | 1. 清华大学,工程力学系,北京,100084
2. 斯伦贝谢技术(北京)有限公司北京地球,科技中心,北京,100084 |
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| 基金项目： | 清华大学基础研究基金资助项目 (199914 0 0 4) |
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| 摘 要： | 为了更好地了解浅层复杂介质中的波场特征 ,以及更好解释野外堤防的探测资料 ,该文利用无反射波动方程和交错网格的有限差分法研究了堤防复杂构造中波传问题 ;并结合实际堤防中物性参数 ,模拟出自激自收地震剖面 ,有效地避免了层间的多次反射。讨论了无反射波动方程的特性 ,推导出多次反射满足的波动方程 ,从特征线分析的角度探讨了无反射波动方程采用交错网格的波传特性和数值计算的稳定性 ,以及利用套网格技术解决源点奇异性的有效性。
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| 关 键 词： | 无反射波动方程 交错网格 稳定性 堤防中波传 数值模拟 |
| 文章编号： | 1000-0054(2002)08-1098-04 |
| 修稿时间： | 2000年7月5日 |
Nonreflecting equation to study wave propagation in complex media |
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| DU Xiang,YANG Huizhu,Steve Chang.Nonreflecting equation to study wave propagation in complex media[J].Journal of Tsinghua University(Science and Technology),2002,42(8):1098-1101. |
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| Authors: | DU Xiang YANG Huizhu Steve Chang |
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| Institution: | DU Xiang~1,YANG Huizhu~1,Steve Chang~2 |
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| Abstract: | Wave propogation in complex media is a very important area of research in the study of geophysical formations. The wave character of complex media and field detection information was analyzed using a nonreflecting wave equation and a staggered grid finite difference approach to simulate wave propagation in complex media with a zero offset profile, which avoids multiple reflections among layers. This paper analyzes the character of the nonreflecting wave equation to derive an equation for multiple reflections. Characteristic analysis is used to determine the approximate stability conditions for the staggered grid finite difference method. The finite difference method using Staggered and nested grids is used to simulate the seismic response of complex geometries in dykes for various field dyke parameter. |
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| Keywords: | nonreflecting wave equation staggered grid stability wave propagation in dykes numerical modeling |
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