Nonlinear traveltime tomography of P-SV and P-SH waves
Huang Guangnan1,2,3, Deng Juzhi1, Li Hongxi1, Li Zelin1, Zhang Hua1, Zhang Yibo4
1. Engineering Research Center of Nuclear Technology Application, East China Institute of Technology, Nanchang, Jiangxi 330013, China;
2. Hubei Subsurface Multi-scale Imaging Key Laboratory(SMIL), China University of Geosciences(Wuhan), Wuhan, Hubei 430074, China;
3. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum(Beijing), Beijing 102249, China;
4. GRI, BGP Inc., CNPC, Zhuozhou, Hebei 072751, China
Abstract：Using anisotropic converted wave ray tracing algorithm, traveltime perturbation equations, and nonlinear conjugate gradient algorithm, we realize in this paper P-SV wave and P-SH wave nonlinear traveltime tomography. After P-SV wave and P-SH wave nonlinear traveltime tomography in blocky abnormal body models, two different sets of inversion results are obtained. The tomograms of c11, c33, and c44 are obtained with P-SV wave traveltime tomography. Meanwhile, the tomograms of c11, c13, c33, and c44 were obtained with P-SH wave traveltime tomography. Inverted elastic modulus parameters obtained by these approaches are very close to that of real theoretical models. Besides, their convergence is also very good. These results confirm the correctness of the nonlinear traveltime inversion algorithms of P-SV wave and P-SH wave.
Crampin S. Effective anisotropic elastic constants for wave-propagation through cracked solids. Geophysical Journal of the Royal Astronomical Society, 1984, 76(1):135-145.
[2]
Helbig K. Systematic classification of layered-induced transverse isotropy. Geophysical Prospecting, 1981, 29(4):550-577.
Li Fang, Cao Siyuan, Yao Jian. Calculation of phase and group velocities in an arbitrary anisotropic medium. Chinese Journal of Geophysics, 2012, 55(10):3420-3426.
[4]
Zhou B and Greenhalgh S A. Raypath and traveltime computations for 2D transversely isotropic media with dipping symmetry axes. Exploration Geophysics, 2006, 37(2):150-159.
[5]
黄光南, 刘洋, Ari Tryggvason等. 变网格间距速度层析成像方法. 石油地球物理勘探, 2013, 48(3):379-389.
Huang Guangnan, Liu Yang, Ari Tryggvason et al. Variable grid spacing velocity tomography. OGP, 2013, 48(3):379-389.
Liu Yang, Wei Xiucheng. Some problems and strategies in converted wave seismic exploration. Progress in Exploration Geophysics, 2003, 26(4):247-267.
[8]
刘洋. 我国陆上转换波质量评价. 石油地球物理勘探, 2002, 37(2):191-195.
Liu Yang. Appreciation of land converted wave quality in China. OGP, 2002, 37(2):191-195.
[9]
Bohm G, Rossi G and Vesnaver A. Tomography of converted waves for subhigh velocity layers targets using OBC data. SEG Technical Program Expanded Abstracts, 2002, 21:846-849.
[10]
Huang G J, Bai C Y, Zhu D L et al. 2D/3D seismic simultaneous inversion for the velocity and interface geometry using multiple classes of arrivals. Bulletin of the Seismological Society of America, 2012, 102(2):790-801.
Gao Lei, Pan Shulin, Zhou Xixiang et al. Using first break of converted wave to perform remaining static calibration. Petroleum Geology & Oilfield Development in Daqing, 2008, 27(1):130-133.
[13]
Stewart R R. Rapid map and inversion of P-SVwa-ves. Geophysics, 1991, 56(6):859-862.
Wei Xiucheng, Wang Jianmin, Chen Tiansheng. Inversion of shear wave interval velocity on prestack converted wave data. Acta Seismologica Sinica, 2007, 29(2):173-180.
[18]
Zhou B and Greenhalgh S A.'Shortest path' ray tracing for the most general 2D/3D anisotropic media. Journal of Geophysics and Engineering, 2005, 2(1):54-63.
[19]
Nakanishi I and Yamaguchi K. A numerical experi-ment on non-linear image reconstruction from first arrival times for two-dimensional island structure. Journal of Physics of the Earth, 1986, 34(4):195-201.
[20]
Moser T J. Shortest path calculation of seismic rays. Geophysics, 1991, 56(1):59-67.
[21]
Cerveny V.Seismic rays and ray intensities in inho-mogeneous anisotropic media. Geophysical Journal of the Royal Astronomical Society, 1972, 29(1):1-13.
[22]
Zhou B and Greenhalgh S A. Non-linear traveltime inversion for 3-D seismic tomography in strongly anisotropic media. Geophysical Journal International, 2008, 172(1):383-394.
[23]
Zhou B and Greenhalgh S A. Analytic expressions for the velocity sensitivity to the elastic moduli for the most general anisotropic media. Geophysical Prospe-cting, 2005, 53(4):619-641.
Huang Guangnan, Liu Yang, Li Hongxing et al. Research on sensitivity of phase velocity with respect to elastic moduli parameters in TTI media. GPP, 2014, 53(3):262-271.
[25]
Kreyszig E. Advanced Engineering Mathematics. John Wiley & Sons Inc, 1993, 809-812.
[26]
Zhou B, Greenhalgh S A and Sinadinovski C. Iterative algorithms for the damped minimum norm, least squares and constraining problem in seismic tomography. Exploration Geophysics, 1992, 23(3):497-505.
