Full waveform inversion method is an approach to grasp the physical property parameters of underground
media in geotechnical nondestructive detection and testing field. Using finite-difference time domain
(FDTD) method for elastic wave equations, the full-wave field in horizontally inhomogeneous stratified media
for elastic wave logging was calculated. A numerical 2D model with three layers was computed for elastic wave
propagation in horizontally inhomogeneous media. The full waveform inversion method was verified to be feasible
for evaluating elastic parameters in lateral inhomogeneous stratified media and showed well accuracy and convergence.
It was shown that the time cost of inversion had certain dependence on the choice of starting initial model.
Furthermore, this method was used in the detection of nonuniform grouting in the construction of immersed tube
tunnel. The distribution of nonuniform grouting was clearly evaluated by the S-wave velocity profile of grouted
mortar base below the tunnel floor.
WANG Huan (王 欢), CHE Ai-lan* (车爱兰), GE Xiu-run (葛修润)
. Full Waveform Inversion Method for Horizontally Inhomogeneous Stratified Media[J]. Journal of Shanghai Jiaotong University(Science), 2013
, 18(6)
: 667
-672
.
DOI: 10.1007/s12204-013-1449-3
[1] Song Hai-bin. Inversion research on elastic parameters of stratified media [D]. Shanghai: School of Ocean and Earth Science, Tongji University, 1996 (in Chinese).
[2] Xu Ning. Seismic characteristics of gas hydrates in East China Sea and study of full waveform inversion [D]. Qingdao: Institute of Oceanology, Chinese Academy of Sciences, 2007 (in Chinese).
[3] She De-ping, Yan Jian-wen, Wu Ji-min. The full wave field seismic exploration [J]. Progress in Geophysics, 2006, 21(2): 472-477 (in Chinese).
[4] Li Xi-meng. Non-destructive testing [M]. Beijing: China Machine Press, 2011 (in Chinese).
[5] Zhang Fan-chang, Yin Ying-yao. Elastic wave equation inversion for seismic data in layered half-space [J].Geophysical Prospecting for Petroleum, 2005, 40(5):523-529 (in Chinese).
[6] Mora P. Nonlinear two-dimensional elastic inversion of multioffset seismic data [J]. Geophysics, 1987, 52(9):1211-1228.
[7] Fichtner A, Trampert J, Cupillard P, et al.Multiscale full waveform inversion [J]. Geophysical Journal International, 2013, 194: 534-556.
[8] Grechka V, Theomphanis S, Tsvankin I. Joint inversion of P- and PS-waves in orthorhombic media:Theory and a physics modeling study [J]. Geophysics,1999, 64(1): 146-161.
[9] Grechka V, Tsvankin I. Feasibility of nonhyperbolic moveout inversion in transversely isotropic media [J].Geophysics, 1998, 63(3): 957-969.
[10] Gauthier O, Virieux J, Tarantola A. Twodimensional nonlinear inversion of seismic waveforms:Numerical results [J]. Geophysics, 1986, 51(7): 1387-1403.
[11] Huang Wen-wu. Research on simulation method for the elastic wave and acoustic wave field in time domain[D]. Tianjing: College of Precision Instrument and Opto-Electronics Engineering, Tianjing University,2005 (in Chinese).
[12] Tarantola A. Inversion of seismic reflection data in the acoustic approximation [J]. Geophysics, 1984,49(8): 1259-1266.
[13] Sakurai J J, Napolitano J. Modern quantum mechanics[M]. Boston: Addison Wesley, 1994.
[14] Collino F, Tsogka C. Application of the perfectly matched absorbing layer model to the linear elasticdynamic problem in anisotropic heterogeneous media[J]. Geophysics, 2001, 66(1): 294-307.
