A remark on the seismic resolution function for the homogeneous elastic isotropic case

作者: Bobby Hak , Wim A. Mulder

DOI: 10.1190/1.2792970

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摘要: We examine the resolution function or hessian for a point scatterer in homogeneous isotropic elastic background. A suitable approximate will improve efficiency of an migration code. Isotropic elasticity requires three model parameters. Migration recorded data mix contributions from perturbations these The can be interpreted as result generated by scatterer. This involves 3×3 images. standard choice density, P-, and S-impedance provides some decoupling between parameters, that is, density perturbation produces strongest amplitude image, so on. If we want to use inverse block-diagonal part preconditioner iterative inversion scheme, should investigate parameters terms preconditioned An example receiver line with vertical-component vertical-force sources shows Lame λ +2μ μ provide slightly better than S-impedance.

参考文章(26)
Jing Chen, Gerard T. Schuster, Resolution limits of migrated images Geophysics. ,vol. 64, pp. 1046- 1053 ,(1999) , 10.1190/1.1444612
Andrea de Nicolao, Giuseppe Drufuca, Fabio Rocca, Eigenvalues and eigenvectors of linearized elastic inversion GEOPHYSICS. ,vol. 58, pp. 670- 679 ,(1993) , 10.1190/1.1443451
JG Berryman, V Cerveny, Seismic Ray Theory ,(2005)
E.E.W. Van Houten, K.D. Paulsen, M.I. Miga, F.E. Kennedy, J.B. Weaver, An overlapping subzone technique for MR-based elastic property reconstruction. Magnetic Resonance in Medicine. ,vol. 42, pp. 779- 786 ,(1999) , 10.1002/(SICI)1522-2594(199910)42:4<779::AID-MRM21>3.0.CO;2-Z
R.-E. Plessix, W. A. Mulder, Frequency-domain finite-difference amplitude-preserving migration Geophysical Journal International. ,vol. 157, pp. 975- 987 ,(2004) , 10.1111/J.1365-246X.2004.02282.X
Albert Tarantola, Inversion of seismic reflection data in the acoustic approximation Geophysics. ,vol. 49, pp. 1259- 1266 ,(1984) , 10.1190/1.1441754
A. J. Berkhout, L. Ongkiehong, A. W. F. Volker, G. Blacquière, Comprehensive assessment of seismic acquisition geometries by focal beams—Part I: Theoretical considerations Geophysics. ,vol. 66, pp. 911- 917 ,(2001) , 10.1190/1.1444981
Gregory Beylkin, Robert Burridge, Multiparameter Inversion For Acoustic And Elastic Media Seg Technical Program Expanded Abstracts. ,(1987) , 10.1190/1.1891971
Gerrit Toxopeus, Steen Petersen, Jan Thorbecke, Kees Wapenaar, Simulating High Resolution Inversion: Decomposing the Resolution Function Seg Technical Program Expanded Abstracts. ,(2004) , 10.1190/1.1851163
G. Beylkin, R. Burridge, Linearized inverse scattering problems in acoustics and elasticity Wave Motion. ,vol. 12, pp. 15- 52 ,(1990) , 10.1016/0165-2125(90)90017-X