Fast algorithm for inverting structure parameters of the horizontal multi-layer soil  

作　　者：ZOU Jim, HE Jinliang, ZENG Rong, SUN Weimin, GUAN Zhicheng and YU Gang(Department of Electrical Engineering, Tsinghua University, Beijing 100084, China) 

出　　处：《Progress in Natural Science:Materials International》2003年第7期553-556,共4页自然科学进展·国际材料（英文版）

基　　金：the National Natural Science Foundation of China (Grant No.50200073)

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.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.

关 键 词：decay spectrum soil parameter INVERSION inverse problem. 

分 类 号：TU43[建筑科学—岩土工程]