Anisotropic Seismic Wave Simulation via Pseudo-spectral and Pseudo-acoustic Approximations

 
 
 
  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract


    Nowadays, the concept of seismic anisotropy is applied widely in seismic modelling, imaging and inversion. To appreciate the influences of seismic anisotropy, an anisotropic wave equation needs to be employed. Despite the fact that seismic anisotropy is innately an elastic phenomenon, the elastic anisotropic wave equation rarely employed in imaging methods because of its time-consuming computational operation. Pseudo-acoustic equations are proposed to reduce the computational cost, even though, they have a few drawbacks. Pseudo spectral approaches are appropriate alternatives for pseudo acoustic methods. In this paper, we aim to study different techniques applied to propagate seismic wave in anisotropic environment. Firstly, the theory and results of a pseudo acoustic wave propagator are demonstrated. Then, a spectral technique based on lowrank approximation for modelling pure acoustic waves is discussed, and we investigate and compare its accuracy and efficiency to the pseudo acoustic method.

     

     

  • Keywords


    pseudo-acoustic, pseudo-spectral, seismic anisotropy, wave modeling.

  • References


      [1] I. Tsvankin, J. Gaiser, V. Grechka, M. van der Baan, and L. Thomsen, "Seismic anisotropy in exploration and reservoir characterization: An overview," Geophysics, vol. 75, pp. 75A15-75A29, 2010.

      [2] S. Y. Moussavi Alashloo, D. Ghosh, and W. I. Wan Yusoff, "Seismic Wave Simulation Using a TTI Pseudo-acoustic Wave Equation," Singapore, 2017, pp. 499-507.

      [3] H. B. Lynn, L. Veta, and R. J. Michelena, "Introduction to this special section Practical applications of anisotropy," The Leading Edge, vol. 30, pp. 726-730, 2011.

      [4] R. Fletcher, X. Du, and P. J. Fowler, "A new pseudo-acoustic wave equation for TI media," presented at the SEG Annual Meeting, Las Vegas, 2008.

      [5] T. Alkhalifah, "Acoustic approximations for processing in transversely isotropic media," Geophysics, vol. 63, pp. 623-631, 1998.

      [6] X. Du, J. C. Bancroft, and L. R. Lines, "Anisotropic reverse time migration for tilted TI media," Geophysical Prospecting, vol. 55, pp. 853-869, 2007.

      [7] E. Duveneck, P. Milcik, P. M. Bakker, and C. Perkins, "Acoustic VTI wave equations and their application for anisotropic reverse-time migration," presented at the 78th Annual International Meeting, 2008.

      [8] V. Grechka, L. Zhang, and J. W. Rector, "Shear waves in acoustic anisotropic media," Geophysics, vol. 69, pp. 576-582, 2004.

      [9] C. Guo, Q. Du, M. Zhang, D. Han, and X. Zhang, "Hybrid Pseudospectral/Finite-Difference Modeling of TTI Pure P-Wave Propagation Using Rotated Staggered Grid," in 2015 SEG Annual Meeting, 2015.

      [10] T. Alkhalifah, "An acoustic wave equation for orthorhombic anisotropy," Geophysics, vol. 68, pp. 1169-1172, 2003.

      [11] R. P. Fletcher, X. Du, and P. J. Fowler, "Reverse time migration in tilted transversely isotropic (TTI) media," Geophysics, vol. 74, pp. WCA179-WCA187, 2009.

      [12] J. H. Zhang, G. H. Zhang, and Y. H. Zhang, "Removing S-wave noise in TTI reverse time migration," presented at the 2009 SEG Annual Meeting, 2009.

      [13] H. Klíe and W. Toro, "A new acoustic wave equation for modeling in anisotropic media," in SEG Technical Program Expanded Abstracts 2001, pp. 1171-1174.

      [14] F. Liu, S. A. Morton, S. Jiang, L. Ni, and J. P. Leveille, "Decoupled wave equations for P and SV waves in an acoustic VTI media," presented at the SEG Technical Program Expanded Abstracts 2009.

      [15] C. Chu, B. K. Macy, and P. D. Anno, "Pure acoustic wave propagation in transversely isotropic media by the pseudospectral method," Geophysical Prospecting, pp. 1-12, 2012.

      [16] S. Fomel, L. Ying, and X. Song, "Seismic wave extrapolation using lowrank symbol approximation," in 80th SEG Technical Program Expanded Abstracts, ed, 2010, pp. 3092-3096.

      [17] W. Kang and J. Cheng, "New coupled equations of P-and SV-wave for RTM in TI media," in 73rd EAGE Annual Meeting, 2011, p. P267.

      [18] J. Cheng and W. Kang, "Simulating propagation of separated wave modes in general anisotropic media, Part I: qP-wave propagators," Geophysics, vol. 79, pp. C1-C18, 2014.

      [19] T. Alkhalifah, "An acoustic wave equation for anisotropic media," Geophysics, vol. 65, pp. 1239-1250, 2000.

      [20] X. Song and S. Fomel, "Fourier finite-difference wave propagation," Geophysics, vol. 76, pp. T123-T129, 2011.

      [21] J. T. Etgen and S. T. Brandsberg-Dahl, "The pseudo-analytical method: Application of pseudo-Laplacians to acoustic and acoustic anisotropic wave propagation," presented at the SEG Annual Meeting, 2009.

      [22] J. Etgen and J. Dellinger, "Accurate wave equation modeling," SEP-60: Stanford Exploration Project, vol. 131, p. 148, 1989.

      [23] X. Song, S. Fomel, and L. Ying, "Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation," Geophysical Journal International, p. ggt017, 2013.


 

View

Download

Article ID: 24671
 
DOI: 10.14419/ijet.v7i3.32.24671




Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.