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APPLIED GEOPHYSICS  2018, Vol. 15 Issue (2): 342-352    DOI: 10.1007/s11770-018-0676-7
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Gravity compression forward modeling and multiscale inversion based on wavelet transform
Sun Si-Yuan1, Yin Chang-Chun1, Gao Xiu-He1, Liu Yun-He1, and Ren Xiu-Yan1
1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China.
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Abstract The main problems in three-dimensional gravity inversion are the non-uniqueness of the solutions and the high computational cost of large data sets. To minimize the high computational cost, we propose a new sorting method to reduce fluctuations and the high frequency of the sensitivity matrix prior to applying the wavelet transform. Consequently, the sparsity and compression ratio of the sensitivity matrix are improved as well as the accuracy of the forward modeling. Furthermore, memory storage requirements are reduced and the forward modeling is accelerated compared with uncompressed forward modeling. The forward modeling results suggest that the compression ratio of the sensitivity matrix can be more than 300. Furthermore, multiscale inversion based on the wavelet transform is applied to gravity inversion. By decomposing the gravity inversion into subproblems of different scales, the non-uniqueness and stability of the gravity inversion are improved as multiscale data are considered. Finally, we applied conventional focusing inversion and multiscale inversion on simulated and measured data to demonstrate the effectiveness of the proposed gravity inversion method.
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Received: 2018-04-13;
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This work was supported by the Key National Research Project of China (Nos. 2017YFC0601900 and 2016YFC0303100) and the Key Program of National Natural Science Foundation of China (Nos. 41530320 and 41774125).

Cite this article:   
. Gravity compression forward modeling and multiscale inversion based on wavelet transform[J]. APPLIED GEOPHYSICS, 2018, 15(2): 342-352.
 
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