基于改进的2D多项式拟合及加权迭代算法的重力异常垂向分离
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摘要
基于稳健的二维低阶多项式拟合及加权迭代算法,分别对模型重力位场数据和川滇地区实测地表重力异常数据进行地下不同深度层地质源的位场分离,并将所得结果与基于插值切割算法的位场分离结果以及川滇地区地质构造图进行比对。结果表明,该算法简单可靠,其结果可以用于川滇地区地质结构的精细反演和解释,也为其他更加深入的研究奠定了基础。
Based on a robust two-dimensional low-order polynomial fitting and weighting iterative algorithm,the gravity anomalies field of the synthetic models and those in the Sichuan-Yunnan region measured on the surface are separated vertically.The separated fields of strata with different depths from the measured gravity data are qualitatively compared with the results calculated by the interpolation-cutting potential field separation method and the geological structure map of the area as well.The results of comparison indicate the algorithms proposed in this paper are portable and reliable and can be helpful to fine inversion and interpretation of later geological structures,and other in-depth research or analysis.
Based on a robust two-dimensional low-order polynomial fitting and weighting iterative algorithm,the gravity anomalies field of the synthetic models and those in the Sichuan-Yunnan region measured on the surface are separated vertically.The separated fields of strata with different depths from the measured gravity data are qualitatively compared with the results calculated by the interpolation-cutting potential field separation method and the geological structure map of the area as well.The results of comparison indicate the algorithms proposed in this paper are portable and reliable and can be helpful to fine inversion and interpretation of later geological structures,and other in-depth research or analysis.
引文
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[13]Guo L H,Meng X H,Chen Z X,et al.Preferential Filtering for Gravity Anomaly Separation[J].Computers&Geosciences,2013,51:247-254
[14]Zhang L L,Hao T Y,Jiang W W.Separation of Potential Field Data Using 3-D Principal Component Analysis and Textural Analysis[J].Geophysical Journal International,2009,179(3):1 397-1 413
[15]Xu Y,Hao T Y,Li Z W,et al.Regional Gravity Anomaly Separation Using Wavelet Transform and Spectrum Analysis[J].Journal of Geophysics and Engineering,2009,6(3):279-287
[16]杨文采,侯遵泽,于常青.滇西地壳三维密度结构及其大地构造含义[J].地球物理学报,2015,58(11):3 902-3 916(Yang Wencai,Hou Zunze,Yu Changqing.3D Crustal Density Structure of West Yunnan and Its Tectonic Implications[J].Chinese J Geophys,2015,58(11):3 902-3 916
[2]Nabighian M N,Ander M E,Grauch V J S,et al.Historical Development of the Gravity Method in Exploration[J].Geophysics,2005,70(6):63-89
[3]Griffin W R.Residual Gravity in Theory and Practice[J].Geophysics,1949,14(1):39-56
[4]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
[5]Ulrych T J.Effect of Wavelength Filtering on the Shape of the Residual Anomaly[J].Geophysics,1968,33(6):1 015-1 018
[6]Beltrao J F,Silva J B C,Costa J C.Robust Polynomial Fitting Method for Regional Gravity Estimation[J].Geophysics,1991,56(1):80-89
[7]Ojo S B,Kangkolo R.Shortcomings in the Determination of Regional Fields by Polynomial Fitting:A Simple Solution[J].Journal of Applied Geophysics,1997,36(4):205-212
[8]Mads J M,Henrik O,Carsten P,et al.Gravity Field Separation and Mapping of Buried Quaternary Valleys in Lolland Denmark Using Old Geophysical Data[J].Journal of Geodynamics,2007,43(2):330-337
[9]Li Y,Oldenburg D W.Separation of Regional and Residual Magnetic Field Data[J].Geophysics,1998,63(2):431-439
[10]Al-Zoubi A,Eppelbaum L,Abueladas A,et al.Removing Regional Trends in Microgravity in Complex Environments:Testing on 3D Model and Field Investigations in the Eastern Dead Sea Coast(Jordan)[J].International Journal of Geophysics,2013
[11]Martínez-Moreno F J,Galindo-Zaldívar J,Pedrera A,et al.Regional and Residual Anomaly Separation in Microgravity Maps for Cave Detection:The Case Study of Gruta de las Maravillas(SW Spain)[J].Journal of Applied Geophysics,2015,114:1-11
[12]徐世浙,余海龙,李海侠,等.基于位场分离与延拓的视密度反演[J].地球物理学报,2009,52(6):1 592-1 598(Xu Shizhe,Yu Hailong,Li Haixia,et al.The Inversion of Apparent Density Based on the Separation and Continuation of Potential Field[J].Chinese J Geophys,2009,52(6):1 592-1 598)
[13]Guo L H,Meng X H,Chen Z X,et al.Preferential Filtering for Gravity Anomaly Separation[J].Computers&Geosciences,2013,51:247-254
[14]Zhang L L,Hao T Y,Jiang W W.Separation of Potential Field Data Using 3-D Principal Component Analysis and Textural Analysis[J].Geophysical Journal International,2009,179(3):1 397-1 413
[15]Xu Y,Hao T Y,Li Z W,et al.Regional Gravity Anomaly Separation Using Wavelet Transform and Spectrum Analysis[J].Journal of Geophysics and Engineering,2009,6(3):279-287
[16]杨文采,侯遵泽,于常青.滇西地壳三维密度结构及其大地构造含义[J].地球物理学报,2015,58(11):3 902-3 916(Yang Wencai,Hou Zunze,Yu Changqing.3D Crustal Density Structure of West Yunnan and Its Tectonic Implications[J].Chinese J Geophys,2015,58(11):3 902-3 916