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《Progress in Geophysics》 2006-03
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Impedance inversion with soft constrained mode

ZHANG Hong-bing~1,YANG Chang-chun~2,SHANG Zuo-ping~1,YANG Qing-feng~(1,3)(1.College of Civil Engineering,Hohai University,Nanjing 210098,China;2.Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China;3.Jiangsu Province Institute of Hydrogeological and Engineering Geological Investigation,huaian 223000,Cina)  
By introducing the prior information constraint in the objective function,we can solve the ill-posed problem and band-limited problem for the impedance inversion.Basing on the neighborhood system of MARKOV random field(MRF) and the potential function,we build a soft constrained mode to overcome the shortage of the force constraints,and we extend well constrained data to well-cross.The first-order neighborhood of MRF bias the constant value,the constant gradient value and the constant curvature value of model need the second-order and the third-order neighborhood,respectively.So,combining three kinds neighborhoods can improve the inversion results.Through testing both synthetic and the field data,it is demonstrated that this constrained mode has the advantage of non-force constraint and high practicability.
【Fund】: 中国科学院重大创新项目(KZCX1-SW-18);; 河海大学科技创新基金资助项目(2004400711)资助
【CateGory Index】: P631.4
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