A study of different wavelet basis functions in forward modeling of gravity gradient anomaly
CHEN Tao1, ZHANG Gui-Bin1, SUO Kui1, LI Rui2
1. School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China;
2. China Aero Geophysical Survey and Remote Sensing Center for Land and Resources, Beijing 100083, China
In the forward modeling of the gravity gradient anomaly of complex geological body,the sensitivity matrix is generated,which corresponds to the increase of the memory storage requirement and the time consuming of matrix vector multiplication.On the basis of the wavelet transform theory,the forward data equations in wavelet domain are given firstly,and then the experimental results are compared with the different wavelet basis functions.The numerical simulation experiments show that the Db3 wavelet basis function can effectively reduce the sensitivity matrix of the forward computation in the memory requirements, while reducing the number of matrix vector multiplication.
陈涛, 张贵宾, 索奎, 李瑞. 不同小波基函数在重力梯度异常正演计算中的应用研究[J]. 物探与化探, 2015, 39(S1): 91-97.
CHEN Tao, ZHANG Gui-Bin, SUO Kui, LI Rui. A study of different wavelet basis functions in forward modeling of gravity gradient anomaly. Geophysical and Geochemical Exploration, 2015, 39(S1): 91-97.
[1] 曾华霖.重力梯度测量的现状及复兴[J].物探与化探,1999,23(1):1-6.[2] 张永明,张贵宾,盛君.航空重力梯度测量技术及应用[J].工程地球物理学报,2006a,3(5):375-380.[3] 张永明,张贵宾,盛君.航空重力梯度测量的基本理论及应用[J].地质装备,2006b,7(6):23-27.[4] 张永明,张贵宾.超导重力梯度勘探系统[J].勘探地球物理进展,2009,32(2):147-151.[5] Li X,Chouteau M.Three-dimensional gravity modeling in all space[J].Surveys in Geophysics,1998,19(4):339-368.[6] Jahandari H,Farquharson C G.Forward modeling of gravity data using finite-volume and finite-element methods on unstructured grids[J].Geophysics,2013,78(3):G69-G80.[7] Li Y,Oldenburg D W.Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method[J].Geophysical Journal International,2003,152(2):251-265.[8] 侯遵泽,杨文采.塔里木盆地多尺度重力场反演与密度结构[J].中国科学:D 辑,2011,41(1):29-39.[9] Fedi M,Quarta T.Wavelet analysis for the regional-residual and local separation of potential field anomalies[J].Geophysical Prospecting,1998,46(5):507-525.[10] Lyrio J C S O.Wavelet denoising of gravity gradiometry data[J].Gravity and Magnetic Research Consortium,Department of Geophysics,Colorado School of Mines,2001.[11] Abubakar A,Habashy T M,Lin Y,et al.A model-compression scheme for nonlinear electromagnetic inversions[J]. Geophysics,2012,77(5):E379-E389.[12] 陈涛.三维重力梯度快速正反演研究[D].北京:中国地质大学,2014.[13] Forsberg R.A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modelling.Ohio state univ columbus dept of geodetic science and survey,1984.[14] Mallat S G.A theory for multiresolution signal decomposition: the wavelet representation.Pattern Analysis and Machine Intelligence,IEEE Transactions on,1989,11(7):674-693.[15] Daubechies I.Ten lectures on wavelets.Philadelphia:Society for industrial and applied mathematics,1992.
