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《ACTA GEODAETICA ET CARTOGRAPHIC SINICA》 1999-02
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Method for joint inversion of seismic surface waves and gravity data for three dimensional density structure

Liu Chongbing,Ning Jinsheng (Wuhan Technical University of Surveying and Mapping,Wuhan,430079 China) Zhang Yushen (Institute of Geophysics, Academia Sinica, Beijing, 100101 China)  
Seismic surface waves have been a very useful tool to study the Earth's upper mantle. But as a geophysical inverse problem, inversion of seismic surface waves can only reach a non unique solution. In order to reduce the non uniqueness, one important approach is to increase the data set, namely, include data of other disciplines into the inversion. In this paper, a method for joint inversion of seismic surface waves and gravity data , is proposed and formulated to investigate three dimensional density structure of the crust upper mantle. The solution of this joint inverse problem is given using theory of linear generalized inverse based on Singular Value Decomposition(SVD) technique. In order to obtain an estimation of the solution with both stability and resolution, we cut off some relatively small singular values and make trade off between the variance and resolution of the solution. The results of simulation experiment indicate that: (1) The inclusion of gravity data can reduce the number of relatively small singular values of the kernel coefficient matrix,(2) The trade off curve of joint inversion is located left down to that of inversion using seismic data only, and both the variance and resolution of the solution estimation of joint inversion are improved, and(3) the resulting three dimensional density structure of joint inversion approach to the theory density model closer than do that of inversion using seismic data only, especially within the depth range of 0 ̄300km. This method is prospective in obtaining more reliable three dimensional density structures if more complicated situations are considered in practical use.
【Fund】: 国家杰出青年科学基金
【CateGory Index】: P312
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