The Community for Technology Leaders
RSS Icon
Issue No.03 - May/June (2008 vol.10)
pp: 66-75
Muhammad Sahimi , University of Southern California
S. Mehdi Vaez Allaei , the University of Tehran
Wave propagation is a phenomenon of fundamental importance to a wide variety of problems involving disordered media; numerical simulation is the only practical way of studying it.
computer simulations, wave propagation, stiffness, elastic waves
Muhammad Sahimi, S. Mehdi Vaez Allaei, "Numerical Simulation of Wave Propagation, Part I: Sequential Computing", Computing in Science & Engineering, vol.10, no. 3, pp. 66-75, May/June 2008, doi:10.1109/MCSE.2008.77
1. J.M. Carcione, Wave Field in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media, Elsevier, 2001.
2. N. Bleistein, J.K. Cohen, and J.W. Stockwell, Jr., Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion, Springer, 2001.
3. M. Sahimi, Heterogeneous Materials I &II, Springer, 2003.
4. F. Shahbazi et al., "Localization of Elastic Waves in Heterogeneous Media with Off-Diagonal Disorder and Long-Range Correlations," Physical Rev. Letters, vol. 94, no. 16, 2005, pp. 165505/1–165505/4.
5. A. Bahraminasab et al., "Renormalization Group Analysis and Numerical Simulation of Propagation and Localization of Acoustic Waves in Heterogeneous Media," Physical Rev. B, vol. 75, 2007, pp. 064301/1–064301/13.
6. H. Hamzehpour and M. Sahimi, "Development of Optimal Models of Porous Media by Combining Static and Dynamic Data: The Porosity Distribution," Physical Rev. E, vol. 74, 2006, pp. 026308/1–026308/12.
7. S.M. Vaez Allaei and M. Sahimi, "Shape of a Wave Front in a Heterogeneous Medium," Physical Rev. Letters, vol. 96, 2006, pp. 075507/1–075507/4.
8. S.M. Vaez Allaei, M. Sahimi, and M.R. Rahimi Tabar, "Propagation of Acoustic Waves as a Probe for Distinguishing Heterogeneous Media with Short- and Long-Range Correlations," to be published in J. Statistical Mechanics, 2008.
9. R. Sepehrinia et al., "Dynamic Renormalization Group Analysis of Propagation of Elastic Waves in Two-Dimensional Heterogeneous Media," Physical Rev. B, vol. 77, 2008, pp. 014203/1–014203/12.
10. A. Frankel and R.W. Clayton, "Finite-Difference Simulations of Seismic Scattering: Implications for Propagation of Short-Period Seismic Waves in the Crust and Models of Crustal Heterogeneity," J. Geophysical Research, vol. 91, 1986, pp. 6465–6489.
11. M. Sahimi and S.E. Tajer, "Self-Affine Fractal Distributions of the Bulk Density, Elastic moduli, and Seismic Wave Velocities of Rock," Physical Rev. E, vol. 71, 2005, pp. 046301/1–046301/8.
12. M.A. Dablain, "The Application of High-Order Differencing to the Scalar Wave Equation," Geophysics, vol. 51, no. 1, 1986, pp. 54–66.
13. B. Fornberg, "High-Order Finite Differences and the Pseudospectral Method on Staggered Grids," SIAM J. Numerical Analysis, vol. 27, no. 4, 1990, pp. 904–918.
14. J. Virieux, "SH-Propagation in Heterogeneous Media, Velocity-Stress Finite-Difference Method," Geophysics, vol. 49, 1984, pp. 1933–1955.
15. J. Virieux, "P-SV Wave Propagation in Heterogeneous Media: Velocity-Stress Finite-Difference Method," Geophysics, vol. 51, 1986, pp. 889–901.
16. Y. Luo and G. Schuster, "Parsimonious Staggered Grid Finite-Differencing of the Wave Equation," Geophysical Research Letters, vol. 17, no. 2, 1990, pp. 155–158.
17. E.H. Saenger, N. Gold, and A. Shapiro, "Modeling the Propagation of Elastic Waves Using a Modified Finite-Difference Grid," Wave Motion, vol. 31, no. 1, 2000, pp. 77–92.
18. B. Hustedt, S. Operto, and J. Virieux, "Mixed-Grid and Staggered-Grid Finite-Difference Methods for Frequency-Domain Wave Modelling," Geophysical J. Int'l, vol. 157, 2004, pp. 1269–1296.
19. C.-H. Jo, C. Shin, and J.H. Suh, "An Optimal 9-Point, Finite-Difference, Frequency-Space, 2-D Scalar Wave Extrapolator," Geophysics, vol. 61, no. 2, 1996, pp. 529–537.
20. G. Cohen and P. Joly, "Fourth Order Schemes for the Heterogeneous Acoustic Equation," Computer Methods Applied Mechanics and Eng., vol. 80, nos. 1–3, 1990, pp. 397–407.
21. A. Sei and W. Symes, "Dispersion Analysis of Numerical Wave Propagation and Its Computational Consequences," J. Scientific Computing, vol. 10, no. 1, 1995, pp. 1–26.
22. O. G. Johnson, "Three-Dimensional Wave Equation Computations on Vector Computers," Proc. IEEE, vol. 72, no. 1, 1984, pp. 90–95.
23. C. Tsingas, A. Vafidis, and E.R. Kanasewich, "Elastic Wave propagation in Transversely Isotropic Media using Finite Differences," Geophysical Prospecting, vol. 38, no. 8, 1990, pp. 935–949.
24. D. Kosloff and E. Baysal, "Forward Modeling by a Fourier Method," Geophysics, vol. 47, 1982, pp. 1402–1412.
25. T. Furumura, B.L.N. Kennett, and H. Takenaka, "Parallel 3-D Pseudospectral Simulation of Seismic Wave Equation," Geophysics, vol. 63, no. 1, 1998, pp. 279–288.
26. T. Özdenvar and G. McMechan, "Causes and Reduction of Numerical Artefacts in Pseudo-spectral Wavefield Extrapolation," Geophysical J. Int'l, vol. 126, no. 3, 1996, pp. 819–828.
27. R.G. Pratt, "Seismic Waveform Inversion in the Frequency Domain, Part 1: Theory and Verification in a Physical Scale Model," Geophysics, vol. 64, no. 3, 1999, pp. 888–901.
28. J.-P. Berenger, "A Perfectly Matched Layer for Absorption of Electromagnetic Waves," J. Computational Physics, vol. 114, no. 1, 1994, pp. 185–200.
29. S. Operto et al., "3D Finite-Difference Frequency-Domain Modeling of Visco-Acoustic Wave Propagation Using a Massively Parallel Direct Solver: A Feasibility Study," Geophysics, vol. 72, no. 5, 2007, pp. SM195–SM211.
30. H. Bao et al., "Large-Scale Simulation of Elastic Wave Propagation in Heterogeneous Media on Parallel Computers," Computer Methods Applied Mechanics and Eng., vol. 152, no. 1, 1998, pp. 85–102.
49 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool