A fast converging and anti-aliasing algorithm for Green's functions in terms of spherical or cylindrical harmonics

Geophysical Journal International

Volumn 170, Issue 1, 2007, Pages 239-248

  Wang, Rongjiang ^a   Wang, Hansheng ^b  

^a GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

^b Wuhan National Laboratory for Optoelectronics   (China)

Author keywords

Filter techniques; Fourier transforms; Hankel transform; Spherical harmonics; Synthetic seismograms

Indexed keywords

ALGORITHM; FOURIER TRANSFORM; GREEN FUNCTION; HARMONIC ANALYSIS; NUMERICAL MODEL; SEISMIC DATA; SEISMIC WAVE; SEISMOGRAM;

EID: 34447267241     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2007.03385.x     Document Type: Article

References (22)

1. Aki, K. & Richards, P.Q., 1980. Quantitative Seismology, Freeman, San Francisco, CA.
2. Chapman, C.H., 2003. Yet another elastic plane-wave, layer matrix algorithm, Geophys. J. Int., 154, 212-223.
3. Dahlquist, G. & Björck, Å., 1971. Numerical Methods, Prentice-Hall Inc., Englewood Cliffs, NJ.
4. Dunkin, J.W., 1965. Computation of modal solutions in layered, elastic media at high frequencies, Bull. seism. Soc. Am., 55, 335-358.
5. Dziewonski, A.M. & Anderson, D.L., 1981. Preliminary reference Earth model, Phys. Earth planet. Inter., 25, 297-356.
6. Farrell, W.E., 1972. Deformation of the Earth by surface loads, Rev. Geophys. Space Phys., 10, 761-797.
7. Fuchs, K., 1968. The reflection of spherical waves from transition zones with arbitrary depth-dependent elastic moduli and density, J. Phys. Earth, 16 (special issue), 27-41.
8. Fuchs, K. & Müller, G., 1971. Computation of synthetic seismograms with the reflectivity method and comparison with observations, Geophys. J. R. astr. Soc., 23, 417-433.
9. Haskell, N.A., 1953. The dispersion of surface waves on multilayered media, Bull. seism. Soc. Am., 43, 17-34.
10. Kennett, B.L.N., 1983. Seismic Wave Propagation in Stratified Media, Cambridge University Press, Cambridge.
11. Kennett, B.L.N. & Engdahl, E.R., 1991. Traveltimes of global earthquake location and phase identification, Geophys. J. Int., 105, 429-465.
12. Kind, R., 1979. Extensions of the reflectivity method, J. Geophys., 45, 373-380.
13. Kind, R. & Seidl, D., 1982. Analysis of broadband seismograms from the Chile-Peru area, Bull. seism. Soc. Am., 72, 2131-2145.
14. Knopoff, L., 1964. A matrix method for elastic wave problems, Bull. seism. Soc. Am., 54, 431-438.
15. Lorenzo-Martín, F., Roth, F. & Wang, R., 2006. Inversion for rheological parameters from postseismic surface deformation associated to the 1960 Valdivia earthquake, Chile, Geophys. J. Int., 164, 75-87.
16. Müller, G., 1977. Earth-flattening approximation for body waves derived from geometric ray theory -improvements, corrections and range of applicability, Geophys. J. Int., 42, 429-436.
17. Thomson, W.T., 1950. Transmission of elastic waves through a stratified solid medium, J. Appl. Phys., 21, 89-93.
18. Wang, R., 1999. A simple orthonormalization method for stable and efficient computation of Green's functions, Bull. seism. Soc. Am., 89, 733-741.
19. Wang, R. & Kümpel, H.-J., 2003. Poroelasticity: Efficient modeling of strongly coupled, slow deformation processes in a multilayered half-space, Geophysics, 68, 705-717.
20. Wang, R., Lorenzo-Martín, F. & Roth, F., 2003. Computation of deformation induced by earthquakes in a multi-layered elastic crust-FORTRAN programs EDGRN/EDCMP, Comp. Geosc., 29, 195-207.
21. Wang, R., Lorenzo-Martín, F. & Roth, F., 2006. PSGRN/PSCMP-a new code for calculating co- and post-seismic deformation, geoid and gravity changes based on the viscoelastic-gravitational dislocation theory, Comp. Geosc., 32, 527-541.
22. Zhang, H.-M., Chen, X.-F. & Chang, S., 2003. An efficient numerical method for computing synthetic seismograms for a layered half-space with sources and receivers at close or same depths, Pure Appl. Geophys., 160, 467-486.