VSP data,Gabor-Daubechies tight frame,high-frequency asymptotic expansion,imaging condition,migration artifact," />
<strong>Migration scheme for imaging offset VSP data within local phase space</strong>
Abstract The imaging of offset VSP data in local phase space can improve the image of the subsurface structure near the well. In this paper, we present a migration scheme for imaging VSP data in a local phase space, which uses the Gabor-Daubechies tight frame-based extrapolator (G-D extrapolator) and its high-frequency asymptotic expansion to extrapolate wavefields and also delineates an improved correlation imaging condition in the local angle domain. The results for migrating synthetic and real VSP data demonstrate that the application of the high-frequency G-D extrapolator asymptotic expansion can effectively decrease computational complexity. The local angle domain correlation imaging condition can be used to weaken migration artifacts without increasing computation.
This work was supported by the National Hi-Tech Research and Development Program of China (Grant No. 2006AA09A102-11) and the National Natural Science Fund of China (Grant No.40730424 and 40674064).
Cite this article:
ZHOU Yan-Hui,GAO Jing-Huai,WANG Bao-Li et al. Migration scheme for imaging offset VSP data within local phase space[J]. APPLIED GEOPHYSICS, 2010, 6(1): 31-40.
[1]
Agnihotri, Y., and McMechan, G. A., 2007, Parsimonious migration of 3-C 3D VSP data: Geophysics, 72(6), S205 - S213.
[2]
Chang, W. F., and McMechan, G. A., 1986, Reverse-time migration of offset VSP data using the excitation-time imaging condition: Geophysics, 51(1), 67 - 84.
[3]
Chen, L., Wu, R. S., and Chen , Y., 2006, Target-oriented beamlet migration based on Gabor-Daubechies frame decomposition: Geophysics, 71(2), S37 - S52.
[4]
Claerbout, J. F., 1985, Imaging the earth’s interior: Blackwell Scientific Publications Inc., Cambridge,MA, USA.
[5]
Dillon, P. B., and Thomson, R. C.,1984, Offset source VSP surveys and their image reconstruction: Geophysical Prospecting, 32(5), 790 - 811.
[6]
Gao J. H., Zhou, Y. H., Mao, J., Chen, W. C., and Wu, R. S. 2007a, Wave propagation in local angle domain: Chinese Journal of Geophysics (in Chinese), 50(1), 248 - 259.
[7]
Gao, J. H., Zhou, Y. H., Mao, J., Chen, W. C., and Wu, R. S., 2007b, On the method of wave propagation in local angle domain: 77th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstract, 2215 - 2218.
[8]
Gazdag, J., and Squazzero, P., 1983, Migration of vertical seismic profiles by phase shift plus interpolation: 45th. EAEG Annual Meeting.
[9]
Hu, L. Z., and McMechan, G. A., 1986, Migration of VSP data by ray equation extrapolation in 2-D variable velocity media: Geophysical Prospecting, 34(5), 704 - 734.
[10]
Kaiser, G., 1994, A Friendly Guide to Wavelets: Birkhäuser, Boston.
[11]
Leveille, J., Checkles, S., and Graves., J., 2008, Reverse time migration of P-wave and C-wave data from a 3D VSP over a deep subsalt prospect in the Gulf of Mexico: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 3355 - 3358.
[12]
Lu, R. R., Willis, M., Campman, X., Franklin, J. A., and Toksoz, M. N., 2006, Imaging dipping sediments at a salt dome flank-VSP seismic interferometry and reverse-time migration: 76th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 2191 - 2194.
[13]
Mallat, S. A., 1998, Wavelet tour of signal processing: Academic Press.
[14]
Sava, P. C., 2007, Stereographic imaging condition for wave-equation migration: Geophysics, 72(6), A87 - A91.
[15]
Steinberg, B. Z. and McCoy, J. J., 1993, Marching acoustic fields in a phase space: J. Acoust. Soc. Am., 93(1), 188 - 204.
[16]
Tong, W. F., and Liu, Q. L., 2006, Wave-equation migration for 3D VSP using phase-shift plus interpolation: 76th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 3457 - 3460.
[17]
Wu, R. S., and Chen, L., 2006, Directional illumination analysis using beamlet decomposition and propagation: Geophysics, 71(4), S147 - 159.
[18]
Ye, Y. M., Li, Z. C., Xu, X. G., Zhu, X. F., and Tong, Z. Q., 2009, Preserved amplitude migration based on the one way wave equation in the angle domain: Applied Geophysics, 6(1), 50 - 58.
[19]
Yu, J. H., and Hornby, B., 2008, A strategy for attenuating VSP migration artifacts: local beam migration: 78th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded abstracts, 3385 - 3389.
2010, Vol. 6 
