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《Chinese Journal of Geophysics》 2013-07
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A research on the Hessian operator in seismic inversion imaging

REN Hao-Ran1,HUANG Guang-Hui2,WANG Hua-Zhong3,CHEN Sheng-Chang1 1 Dept.of Earth Sciences,Zhejiang University,Hangzhou 310027,China 2 Institute of Computational Mathematics and Scientific/Engineering Computing,Beijing 100190,China 3 WPI,School of Ocean and Earth Science,Tongji University,Shanghai 200092,China  
In this paper,we summarize the influence of Hessian operator in seismic inversion methods and review the mathematical and physical meanings of the Hessian operator in the seismic inversion imaging.Hessian operator is the second derivation of the misfit function to the seismic model parameters.It can be seen by analyzing its Green's function formulation under the acoustic wave approximation that the Hessian reflects the effects of the seismic acquisition system and wavelet frequency band during the projection of information from the data spaces to the model spaces.We propose two pseudo-Hessian forms for the least-squares migration and the full waveform inversion separately.The application of plane-wave Hessian operator can lead to an amplitude-preserved migration result.The sub-offset Hessian can be used to the full waveform inversion to enhance the efficiency of inversion.At last,we discuss and evaluate the Hessian operator in seismic inversion imaging.
【Fund】: 浙江省博士后科研项目择优资助(Bsh1202046);; 国家自然科学基金(41074133);; 国家重点基础研究发展计划(2011CB201002);; 国家重大专项(2011ZX05005-005-008HZ 2011ZX05006-002)资助
【CateGory Index】: P631.4
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【Citations】
Chinese Journal Full-text Database 5 Hits
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【Co-citations】
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