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《Chinese Journal of Geophysics》 2015-02
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3D interface inversion of gravity data in the frequency domain using aparabolic density-depth function and the application in Sichuan-Yunnan region

ZHANG En-Hui;SHI Lei;LI Yong-Hua;WANG Qian-Shen;HAN Chang-Wu;Institute of Geophysics,China Earthquake Administration;Institute of Geology and Geophysics,Chinese Academy of Sciences;CNPC Xibu Drilling Engineering Sulige Gas Field Development;  
As an important way to reveal the internal structure of the earth,inversion of the density interface is a main subject of gravity research for a long time.Inversion of field data in the frequency domain provides a quick and efficient data analysis method.Combining the advantages of the frequency domain and parabolic density function,this paper presents a processing method for gravity anomaly data of a three-dimensional underground interface using parabolic densitydepth function in the frequency domain.The method we used to make forward modeling of the gravity anomaly is based on the algorithm proposed by Parker and Oldenburg which uses constant density contrast. We substituted the constant density function in gravity forward formula for the parabolic density function.Then the Fast Fourier Transform(FFT)was applied to both sides of the equation.We derived the gravity anomaly formula of 3Ddensity interface with parabolic density contrast after calculating the involved integral.To invert the density interface depth,an iterative algorithm was preformed to adjust the interface depth step by step until the difference between the theoretical anomalies and observations reduced to the threshold value.In addition,in order to avoid the divergence of the algorithm which is difficult to avoid for the calculation in the frequency domain,we also added a low-pass filter to the codes.We applied our method to a theoretical model which has 91×71grid data with 10 km interval in x-axis and y-axis,and a complex 3Dinterface with parabolic density contrast variation in depth.In the synthetic test,we compared the method proposed in this paper with the constant,exponential and binomial functions.Besides the points with acute topography fluctuation,the results show that the inversion using parabolic function provides good and stable estimates of the interface depth of the theoretical model with RMS 0.02 km,and that the constant density function inversion gives the worst estimate of the theoretical model. According to the comparison,the choice of density parameters is a key factor in interface inversion.For the density of real situation,which varies more rapidly at smaller depth and less rapidly at larger depth,the method provides better approximations to density interface depth.In addition,we applied our method to invert the satellite regional gravity anomaly data with 10 km interval in xaxis and y-axis for the Sichuan-Yunnan region,which has complex geological structures with a large number of major faults,and negative gravity anomalies varying from-540 ~-90 mGal.We applied the method to invert the Moho depth below this region using reference level 35.5km and density contrast-0.63g·cm-3 at the earth surface with attenuation coefficient 0.0018.We compared the result with receiver function from Li et al.(2014)and other geological information.The differences between results of receiver function and our method at most seismic stations are less than 6 km.Therefore the Moho discontinuation derived from this method shows good correlation with the results of receiver function,other prior geophysical and geological information.Density contrast interface inversion is one of the primary subjects in gravity field research for understanding the earth′s interior structure.This work combines the merits of the parabolic density model and the algorithm in the frequency domain,and applies the parabolic density function to the Parker-Oldenburg forward modeling and inversion algorithm.The tests on synthetic data and real data prove the new approach is rapid and effective.By inverting gravity anomaly data using this new approach,we obtained the Moho depth distribution in the SichuanYunnan area,which shows that the Moho interface is shallow in the southeast but deep in the northwest.The Longmen Shan fault zone is a transition zone of the Moho depth ranging from42 km to 58 km.
【Fund】: 地震行业专项(201408014);; 中国地震局地球物理研究所基本业务专项(DQJB12B14);; 地下信息探测技术与仪器教育部重点实验室(中国地质大学 北京)开放课题项目(GDL1203)联合资助
【CateGory Index】: P631.1
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