Frequency response modelling of seismic waves using finite difference time domain with phase sensitive detection (TD-PSD)

Geophysical Journal International

Volumn 169, Issue 3, 2007, Pages 1069-1078

  Nihei, Kurt T ^a   Li, Xiaoye ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Finite difference methods; Numerical techniques; Seismic modelling

Indexed keywords

FINITE DIFFERENCE METHOD; NUMERICAL MODEL; SEISMIC WAVE; WAVE PROPAGATION;

EID: 34250170170     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03262.x     Document Type: Article

References (18)

1. Aminzadeh, F., Burkhard, N., Nicoletis, L., Rocca, F. & Wyatt, K., 1994. SEG/EAGE 3-D modelling project: 2nd update, Leading Edge, 13, 949-952.
2. Barrett, R. et al., 1994. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM, Philadelphia.
3. Furse, C.M., 2000. Faster than Fourier-ultra-efficient time-to-frequency domain conversions for FDTD simulations, Antenn. Propagat. Mag., 42, 24-34.
4. George, J.A. & Liu, J.W.H., 1981. Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall, New Jersey.
5. Hustedt, B., Operto, S. & Virieux, J., 2004. Mixed-grid and staggered-grid finite-difference methods for frequency-domain acoustic wave modelling, Geophys. J. Int., 157, 1269-1296.
6. Kinsler, L.E., Frey, A.R., Coppens, A.B. & Sanders, J.V., 1982. Fundamentals of Acoustics, 3rd edn, John Wiley & Sons, New York, pp. 20-23.
7. Levander, A.R., 1988. Fourth-order finite-difference P-SV seismograms, Geophysics, 53, 1425-1436.
8. Li, X.S. & Demmel, J., 2003. SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems, ACM Trans. Math. Software, 29, 110-140. http://crd.lbl.gov/~xiaoye/SuperLU/
9. Marfurt, K.J., 1984, Accuracy of finite difference and finite element modelling of the scalar and elastic wave equations, Geophysics, 49, 533-549.
10. Mulder, W.A. & Plessix, R.-E., 2004. How to choose a subset of frequencies in frequency-domain finite-difference migration, Geophys. J. Int., 158, 801-812.
11. Nihei, K.T., 2005. BE2D: A 2D Boundary Element Code for Computing the Frequency Response of Elastic Waves in Heterogeneous Media with Imperfect Interfaces, Lawrence Berkeley National Laboratory Report, LBNL-58685, Berkeley.
12. Plessix, R.E. & Mulder, W.A., 2003. Separation-of-variables as a preconditioner for an iterative Helmholtz solver, Appl. Numer. Math., 44, 385-400.
13. Pratt, R.G., Shin, C. & Hicks, G.J., 1998. Gauss-Newton and full Newton methods in frequency space seismic waveform inversion, Geophys. J. Int., 133, 341-362.
14. Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P., 1992. Numerical Recipes in C, 2nd edn, Cambridge University Press, Cambridge, p. 504.
15. Robertsson, J.O.A., Blanch, J.O. & Symes, W.W., 1994. Viscoelastic finite-difference modelling, Geophysics, 59, 1444-1456.
16. Sirgue, L. & Pratt, R.G., 2004. Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies, Geophysics, 69, 231-248.
17. Stanford Research Systems, 1999. DSP Lock-In Amplifier Model 850, Rev. 1.4. http://www.thinksrs.com/downloads/PDFs/Manuals/SR830m.pdf
18. Štekl, I. & Pratt, R.G., 1998. Accurate viscoelastic modelling by frequency-domain finite differences using rotated operators, Geophysics, 63, 1779-1794.