Iterative regularization migration inversion in VTI media
Zhang Hongzhou1,2, Wang Yanfei1
1. Institute of Geology and Geophysics, Key Laboratory of Oil and Gas Resources, Chinese Academy of Sciences, Beijing 100029, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China
Abstract：One of the key issues of seismic imaging in VTI media is to solve ill-posed inverse problems, especially when the inverse operator of a modeling operator cannot be approximated sufficiently by its adjoint.We first discuss in this paper algorithms of migration inversion imaging, which is based on a different strategy from the conventional seismic migration, in VTI media. Then we derive an operator equation of migration, and propose the fixpoint iterative (FPI) regularization migration inversion algorithm.FPI is more computational efficient than conventionally regularization methods, because matrix decompositions are no longer needed in the algorithm. In order to verify the feasibility of our new method, we perform tests on both synthetic and field seismic data. The results show that applications of the fixpoint iteration migration inversion obtain higher data S/N ratio and higher accuracy of seismic imaging than conventional approaches.
Tsvankin I. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media.Oxford: PERGAMON, 2001.
[2]
Tsvankin I, Gaiser J, Grechka V et al. Seismic anisotropy in exploration and reservoir characterization:An overview.Geophysics,2010,75(5):75A15-75A29.
[3]
Sarkar D and Tsvankin I. Migration velocity analysis in factorized VTI media. Geophysics, 2004, 69(3): 708-718.
[4]
Tarantola A. Inversion of seismic reflection data in the acoustic approximation. Geophysics,1984,49(8):1259-1266.
[5]
Cole S and Karrenbach M. Least squares Kirchhoff migration. SEP, 1992, 75:101-110.
[6]
Schuster G T. Least-squares crosswell migration.SEG Technical Program Expanded Abstracts, 1993,12:110-113.
[7]
Nemeth T, Wu C J and Schuster G T. Least-squares migration of incomplete reflection data. Geophysics, 1999, 64(1): 208-221.
[8]
Ronen S, Nichols D, Bale R et al.Dealiasing DMO: good-pass, bad-pass and unconstrained. SEG Technical Program Expanded Abstracts, 1995,14:743-746.
[9]
Duquet B. Improving seismic imaging in complex geologic structures[D]. Univ of Paris XIII, 1996.
[10]
Mittet R, Hokstad K, Helgesen J et al. Imaging offset VSP data with an elastic iterative migration scheme. Geophysical Prospecting,1997,45(2):247-268.
[11]
Sevink A and Herman G. Fast iterative solution of sparsely sampled seismic inverse problems. Inverse Problems, 1994, 10(4): 937-948.
[12]
Lecomte I and Gelius L J. Have a look at the resolution of prestack depth migration for any model, survey and wavefields. SEG Technical Program Expanded Abstracts, 1998,17:1112-1115.
[13]
Gelius L J, Lecomte I and Tabti H. Analysis of the resolution function in seismic prestack depth imaging. Geophysical Prospecting, 2002, 50(5):505-515.
[14]
Hu J X, Schuster G T and Valasek P A. Poststack migration deconvolution. Geophysics, 2001, 66(3): 939-952.
[15]
Yu J H,Hu J X and Schuster G T. Prestack migration deconvolution. Geophysics, 2006, 71(2): S53-S62.
[16]
Sacchi M D et al. Regularized migration/inversion: New generation of seismic imaging algorithm. CSEG Recorder, 2006, Special Edition: 54-59.
Wang Yanfei, Yang Changchun and Duan Qiuliang. On iterative regulation methods for migration deconvolution and inversion in seismic imaging. Chinese Journal of Geophysics, 2009, 52(6):1615-1624.
[18]
Wang Y F and Yang C C. Accelerating migration deconvolution using a nonmonotone gradient method.Geophysics, 2010,75(4): 131-137.
[19]
erven V. Seismic Ray Theory. Cambridge: Cambridge University Press,2001.
Wang Y F.Comparison of interferometric migration and preconditioned regularizing least squares migration inversion methods in seismic imaging. Chinese Journal of Geophysics, 2013, 56(1): 230-238.
[30]
Dai W, Fowler P and Schuster G T. Multi-source least-squares reverse time migration.Geophysical Prospecting, 2012, 60(4): 681-695.
[31]
Wang Y F, Li Z H and Yang C C. Seismic Migration and Inversion, in Computational Methods for Applied Inverse Problems (Inverse and Ill-Posed Problems Series 56). De Gruyter, 2012, 439-474.
[32]
Wang Y F, Yagola A G and Yang C C eds. Optimization and Regularization for Computational Inverse Problems and Applications(1st Edition).Berlin-Heidelberg: Springer, 2011.
[33]
Schoenberg M and Helbig K. Orthorhombic media: Modeling elastic wave behavior in a vertically fractured earth. Geophysics, 1997, 62(6): 1954-1974.
[34]
Psencik I and Farra V. First-order P-wave ray synthetic seismograms in inhomogeneous weakly anistropic media.Geophysical Journal International, 2007, 170(3): 1243-1252.
