Seismic anisotropy characterized by velocity anisotropy will inevitably affect the kinematic characteristics of underground seismic waves.Ignoring the anisotropy of the media will result in inaccurate velocity extraction and thus affect the imaging of target region.In view of such a situation,the authors carried out a study of anisotropy in this paper.According to the first-order velocity stress equation in VTI media,the authors obtained the cross-correlation imaging condition based on wavefield separation which used Poynting vector.Then the authors applied it to complex VTI media,and demonstrated the validity and superiority of the algorithm by numerical experiments.This method produces better images with less noise even for inaccurate migration velocities.
Huang Z Y, Qu S L, Wang Y J , et al. Kirchhoff prestack time migration of PS-wave data for the layered anisotropic medium[J]. Chinese J. Geophys. (in Chinese), 2009,52(12):3109-3115.
Zhang K, Duan X Y, Li Z C , et al. Angle domain reverse time migration with Gaussian beams in anisotropic media[J]. OGP, 2015,50(5):912-918.
[8]
Alkhalifah T . Acoustic approximations for processing in transversely isotropic media[J]. Geophysics, 1998,63(2):623-631.
doi: 10.1190/1.1444361
[9]
Klie H, Toro W. A new acoustic wave equation for modeling in anisotropic media [C]//Expanded Abstracts of the 71 st Annual SEG Meeting,Society of Exploration Geophysicists , 2001: 1171-1174.
[10]
Zhou H, Zhang G, Bloor R. An anisotropic acoustic wave equation for VTI media [C]//68 th EAGE Conference and Exhibition , 2006a.
[11]
Duveneck E P, Milcik P, Bakker P M, et al. Acoustic VTI wave equations and their application for anisotropic reverse-time migration [C]//Expanded Abstracts of the 78 th Annual SEG Meeting,Society of Exploration Geophysicists , 2008: 2186-2189.
[12]
Hestholm S . Acoustic VTI modeling using high-order finite differences[J]. Geophysics, 2009,74(5):T67-T73.
doi: 10.1190/1.3157242
[13]
Fletcher R P, Du X, Fowler P J . Reverse time migration in tilted transversely isotropic (TTI) mediaJ].Geophysics, 2009, 74(6):WCA179-WCA187.
doi: 10.1190/1.3269902
[14]
Crawley S, Brandsberg-Dahl S , McClean J,et al.TTI reverse time migration using the pseudo-analytic method[J]. The Leading Edge, 2010,29(11):1378-1384.
doi: 10.1190/1.3517310
[15]
Zhan G, Pestana R C, Stoffa P L . Decoupled equations for reverse time migration in tilted transversely isotropic media[J]. Geophysics, 2012,77(2):T37-T45.
doi: 10.1190/geo2011-0175.1
Xu W C, Li Z C, Wang J , et al. TI medium reverse time migration based on quasi acoustic first-order velocity-stress equation[J]. Progress in Geophysics (in Chinese), 2016,31(2):836-844.
[17]
Baysal E, Kosloff D D , Sherwood J W C.Reverse time migration[J]. Geophysics, 1983,48(11):1514-1524.
doi: 10.1190/1.1441434
[18]
Fletcher R P, Fowler P J, Kitchenside P , et al. Suppressing unwanted internal reflections in prestack reverse-time migration[J]. Geophysics, 2006,71(6):E79-E82.
doi: 10.1190/1.2356319
[19]
Yoon K, Marfurt K J . Reverse-time migration using the Poynting vector[J]. Exploration Geophysics, 2006,37(1):102-107.
doi: 10.1071/eg06102
[20]
Guitton A, Kaelin B, Biondi B. Least-square attenuation of reverse time migration artifacts [C]//Expanded Abstracts of the 76 th Annual SEG Meeting,Society of Exploration Geophysicists , 2006: 2348-2352.
[21]
Fei T W, Luo Y, Schuster G T. De-blending reverse-time migration [C]//Expanded Abstracts of the 80 th Annual SEG Meeting,Society of Exploration Geophysicists , 2010: 3130-3134.
[22]
Liu F Q, Zhang G Q, Morton S A , et al. An effective imaging condition for reverse-time migration using wavefield decomposition[J]. Geophysics, 2011,76(1):29-39.
doi: 10.1190/1.3533914
[23]
Chen T, He B S . A normalized wavefield separation cross-correlation imaging condition for reverse time migration based on Poynting vector[J]. Applied Geophysics, 2014,11(2):158-166.
doi: 10.1007/s11770-014-0441-5
Chen K Y, Chen S M, Li L L , et al. Directional one-way wave field separating numerical simulation of the seismic wave equation and reverse-time migration[J]. Lithologic Reservoirs, 2014,26(4):130-136.
Chen K Y . Wave field separating numerical simulation of anisotropic elastic medium directional one-way wave[J]. Lithologic Reservoirs, 2014,26(5):91-96.
Chen K Y . Seismic wave pre-stack reverse-time migration imaging condition based on one-way wave field separation and angle domain attenuation[J]. Chinese Journal of Computational Physics, 2016,33(2):205-211.
Han W G, Wang J C, Li Z C , et al. Reverse-time migration imaging conditions based on Poynting vector and directional one-way wave field separating[J]. Progress in Geophysics, 2015,30(6):2660-2665.
Li Q C, Liu G F, Meng X H , et al. The denoising of reverse time migration based on the Poynting vector[J]. Geophysical & Geochemical Exploration, 2015,39(6):1223-1232.
[29]
Guo X, Huang J P, Li Z C, et al. Reverse time migration in complex TI media using wavefield decomposition [C]//Qingdao:International Geophysical Conference, 2017: 522-525.
[30]
Han Q Y, Wu R S. Depth imaging in strongly heterogeneous VTI media [C]//SEG Technical Program Expanded Abstracts, 2004: 1061-1064.