| Fast algorithm for inverting structure parameters of the horizontal multi-layer soil |
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| 引用本文： | ZOU Jim,HE Jinliang,ZENG Rong,SUN Weimin,GUAN Zhicheng and YU Gang(Department of Electrical Engineering,Tsinghua University,Beijing 100084,China). Fast algorithm for inverting structure parameters of the horizontal multi-layer soil[J]. 自然科学进展(英文版), 2003, 13(7) |
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| 作者姓名： | ZOU Jim HE Jinliang ZENG Rong SUN Weimin GUAN Zhicheng and YU Gang(Department of Electrical Engineering Tsinghua University Beijing 100084 China) |
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| 作者单位： | Department of Electrical Engineering，Tsinghua University，Beijing 100084，China |
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| 基金项目： | the National Natural Science Foundation of China (Grant No.50200073) |
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| 摘 要： | A fast algorithm is presented to invert the structure parameter of the horizontal multi-layer soil. The procedure is divided into two independent stages. First, Fredholm equation of the first kind with respect to the apparent resistivity is solved by the technology of decay spectrum to reduce computation time greatly. Second, the structure parameter of soil is determined by the generalized Newton-Kantorovich method, which is more robust and less noise sensitive because of using the generalized inverse algorithm to solve the nonlinear equation group. The numerical results show the validities and main features of the proposed approach.
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Fast algorithm for inverting structure parameters of the horizontal multi-layer soil |
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| ZOU Jun,HE Jinliang,ZENG Rong,SUN Weimin,GUAN Zhicheng,YU Gang. Fast algorithm for inverting structure parameters of the horizontal multi-layer soil[J]. Progress in Natural Science, 2003, 13(7) |
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| Authors: | ZOU Jun HE Jinliang ZENG Rong SUN Weimin GUAN Zhicheng YU Gang |
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| Abstract: | A fast algorithm is presented to invert the structure parameter of the horizontal multi-layer soil. The procedure is divided into two independent stages. First, Fredholm equation of the first kind with respect to the apparent resistivity is solved by the technology of decay spectrum to reduce computation time greatly. Second, the structure parameter of soil is determined by the generalized Newton-Kantorovich method, which is more robust and less noise sensitive because of using the generalized inverse algorithm to solve the nonlinear equation group. The numerical results show the validities and main features of the proposed approach. |
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| Keywords: | decay spectrum soil parameter inversion inverse problem. |
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