| 粘弹性介质中逆散射问题的求解方法 |
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| 引用本文： | 程昌钧,陈显尧.粘弹性介质中逆散射问题的求解方法[J].上海力学,2000,21(1):118-123. |
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| 作者姓名： | 程昌钧 陈显尧 |
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| 作者单位： | [1]上海市应用数学和力学研究所 [2]国家海洋局 |
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| 基金项目： | 国家自然科学基金资助项目(No.19772027)和国家海洋局环境科学与数值模拟重点实验室开放基金资助项目 |
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| 摘 要： | 本文讨论了一维粘弹性介质中的逆散问题，给出了两种反演粘弹性介质松弛模量的方法。这两种方法只利用了介质层一侧波的反射数据，其中一种方法只需已知一个走时来回时间内的反射数据就可以确定介质的松弛模量在任意时刻的值。文中最后给出了数值算例，可以看出，数值反演的结果与初始给定的松驰模量吻合得很好。
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| 关 键 词： | 粘弹性介质 逆解射问题 走时来回 |
| 修稿时间： | 1999年11月29 |
Solution Procedures for Inverse Scattering in Viscoelastic Medium |
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| CHENG Chang - jun,CHEN Xian - yao.Solution Procedures for Inverse Scattering in Viscoelastic Medium[J].Chinese Quarterly Mechanics,2000,21(1):118-123. |
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| Authors: | CHENG Chang - jun CHEN Xian - yao |
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| Abstract: | In this paper, the inverse scatering problem for one dimensional viscoelastic medium is studied. Two inversion methods are developed to reconstruct the relaxation modulus of the medium, in which the one side measurement reflection data are used. And it is sufficient to use the reflection data for one round trip through the viscoelastic layer for one of the two methods. The numerical examples are given in the end of the paper. It can be seen that the reconstructed moduli coincide with the original moduli very well. |
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| Keywords: | viscoelastic medium inverse scattering one-round trip Volterra integral equation |
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