Gravity data embody the superimposed effect of all the bodies with uneven densities from the earth surface to the deep subsurface. And gravity data with different scales are needed for different tasks. The two-dimensional empirical mode decomposition can be adapted to nonlinear or non-stationary signals to achieve the multi-scale decomposition. In this study, the authors applied the two-dimensional empirical mode decomposition to the multi-scale analysis of gravity data. With this method, the gravity data can be decomposed into different intrinsic mode functions and one remaining component. Then, the radial logarithmic power spectrum of various components are computed to get the approximate depth of various sources. Theoretical density model data and real data test support the technical feasibility of the method.
Wang J, Meng X H, Guo L H , et al. A correlation-based approach for determining the threshold value of singular value decomposition filtering for potential field data denoising[J]. J. Geophys. Eng., 2014,11(5):055007.
doi: 10.1088/1742-2132/11/5/055007
[4]
Wang J, Meng X H, Li F . Improved curvature gravity gradient tensor with principal component analysis and its application in edge detection of gravity data[J]. Journal of Applied Geophysics, 2015,118:106-114.
doi: 10.1016/j.jappgeo.2015.04.013
[5]
Spector A, Grant F S . Statistical models for interpreting aeromagnetic data[J]. Geophysics, 1970,35(2):293-302.
doi: 10.1190/1.1440092
[6]
侯重初 . 补偿圆滑滤波方法[J]. 石油物探, 1981(2):22-29.
[7]
Keaing P, Pinet N . Use of non-linear filtering for the regional-residual separation of potential field data[J]. Journal of Applied Geophysics, 2011,73(4):315-322.
doi: 10.1016/j.jappgeo.2011.02.002
Huang N E, Shen Z, Long S R , et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary tiem series analysis[J]. Proc. Roy. Soc. London, 1998,454:903-995.
doi: 10.1098/rspa.1998.0193
Ghanati R, Fallahsafari M, Hafizi K M . Joint application of a statistical optimization process and empirical mode decomposition to magnetic resonance sounding noise cancelation[J]. Journal of applied geophysics, 2014,111:110-120.
doi: 10.1016/j.jappgeo.2014.09.023
Hassan H H, Pierce J W . Empirical mode decomposition (EMD) of potential field data: airbone gravity data as an example[C]//2005 annual meeting, SEG expand abstract, 24, 704-706.
[16]
Cooper S M, Liu T Y, Mbue I N . The empirical mode decomposition (EMD), a new tool for potential field separation[J]. Journal of American science, 2010,6(7):183-187.
[17]
He L J, Zhang Y, Zhang Y . Study on application of bidimensional empirical mode decomposition in processing geophysical and geochemical data[J]. Contributions to geology and mineral resources research (in Chinese), 2011,26(3):311-315.
[18]
Hou W S, Yang Z J, Zhou Y Z , et al. Extracting magnetic anomalies based on improved BEMD method: a case study in the Pangxidong area, south China[J]. Computers & Geosciences, 2012,48:1-8.
Chen Q H, Huang N E, Xu Y S , et al. A b-spline approach for empirical mode decompositions[J]. Advances in computational mathematics, 2006,24:171-195.
doi: 10.1007/s10444-004-7614-3
[22]
Spector A, Grant F S . Statistical models for interpreting aeromagnetic data[J]. Geophysics, 1970,35(2):293-302.
doi: 10.1190/1.1440092
[23]
Bhattacharyya B K, Leu L K . Spectral analysis of gravity and magnetic anomalies due to two-dimensional structures[J]. Geophysics, 1975,40(6):993-1013.
doi: 10.1190/1.1440593
Zhang J S, Gao R, Zeng IS , et al. Relationship between characteristicsofgravityandmagneticanomalies and the earthquakes in the Longmenshan range and adjacent areas[J]. Tectonophysics, 491(1/4):218-229.