| 层状半空间弹性参数非线性迭代反演 |
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| 引用本文： | 吴国荣,钟伟芳,戴辉.层状半空间弹性参数非线性迭代反演[J].华中科技大学学报(自然科学版),2002,30(3):77-79. |
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| 作者姓名： | 吴国荣 钟伟芳 戴辉 |
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| 作者单位： | 华中科技大学土木工程力学学院,430074 |
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| 基金项目： | 高等学校博士学科点专项科研基金资助课题 (980 4 870 5 ) |
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| 摘 要： | 对层状半空间弹性参数的反演这一具有较强的工程应用价值的问题进行了研究。先通过引入共轭波函数给出了泛函导数的表达式，然后构造一均方误差函娄把反演问题转化为寻求最优解，并通过共轭梯度法导出了非线性迭代公式，最后进行了数值计算。数值计算结果表明，该公式具有较好的收敛性和稳定性。
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| 关 键 词： | 层状半空间 弹性参数 非线性迭代反演 弹性波 共轭梯度算法 共轭波函数 泛函导数 |
| 文章编号： | 1671-4512(2002)03-0077-03 |
| 修稿时间： | 2000年10月17 |
Nonlinear iterative inverse of elastic parameter in half-space |
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| Wu Guorong Zhong Weifang Dai Hui Doctor Candidate, College of Civil eng. & Mechanics,Huazhong Univ. of Sci. & Tech.,Wuhan ,China..Nonlinear iterative inverse of elastic parameter in half-space[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2002,30(3):77-79. |
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| Authors: | Wu Guorong Zhong Weifang Dai Hui Doctor Candidate College of Civil eng & Mechanics Huazhong Univ of Sci & Tech Wuhan China |
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| Institution: | Wu Guorong Zhong Weifang Dai Hui Doctor Candidate, College of Civil eng. & Mechanics,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China. |
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| Abstract: | The elastic parameter inversion in half space is analyzed. It has important value in engineering. An expression of functional derivative is derived by introducing conjugate wave function. The inuerse task is transformed to optimization by constructing a mean square error function. A nonlinear iterative formula is deduced by using the conjugate gradient algorithm. Numerical examples are presented. The result shows that the iterative formula not only has higher stability but also converges faster. |
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| Keywords: | elastic wave iterative inversion nonlinear layered half space conjugate gradient algorithm |
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