Acoustic simulation of P-wave propagation in a heterogeneous spherical earth: Numerical method and application to precursor waves to PKPdf

Geophysical Journal International

Volumn 141, Issue 2, 2000, Pages 307-320

  Thomas, Ch ^a,e   Igel, H ^b,f   Weber, M ^c   Scherbaum, F ^d  

^a Institut fur Geophysik   (Germany)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

^d UNIVERSITY OF POTSDAM   (Germany)

^e UNIVERSITY OF LEEDS   (United Kingdom)

^f UNIVERSITY OF MUNICH   (Germany)

Author keywords

Body waves; Core phases; Finite differences; Scattering; Seismic wave propagation; Spherical earth

Indexed keywords

P-WAVE; SCATTERING; SEISMIC WAVE; WAVE PROPAGATION;

EID: 0034105473     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.2000.00079.x     Document Type: Article

References (39)

1. Alterman, Z., Aboudi, J. & Karal, F.C., 1970. Pulse propagation in a laterally heterogeneous solid elastic sphere, Geophys. J. R. astr. Soc., 21, 243-260.
2. Bataille, K., Wu, R.-S. & Flatté, S.M., 1990. Inhomogeneities near the core-mantle boundary; evidence from scattered waves: a review, Pure appl. Geophys., 132, 151-173.
3. Chaljub, E. & Tarantola, A., 1997. Sensitivity of SS precursors to topography on the upper-mantle 660-km discontinuity, Geophys. Res. Lett., 24, 2613-2616.
4. Christensen, U.R. & Hofmann, A.W., 1994. Segregation of subducted oceanic crust in the convecting mantle, J. geophys. Res., 99, 19 867-19 884.
5. Cleary, J.R. & Haddon, R.A.W., 1972. Seismic wave scattering near the core-mantle boundary: a new interpretation of precursors to PKP, Nature, 240, 549-551.
6. Cormier, V.F., 1999. Anisotropy of heterogeneity scale lengths in the lower mantle from PKIKP precursors, Geophys. J. Int., 136, 373-384.
7. Cummins, P.R., Geller, R.J., Hatori, T. & Takeuchi, N., 1994a. DSM complete synthetic seismograms: SH, spherically symmetric case, Geophys. Res. Lett., 21, 533-536.
8. Cummins, P.R., Takeuchi, N., Geller, R.J. & Hatori, T., 1994b. DSM complete synthetic seismograms: P-SV, spherically symmetric case, Geophys. Res. Lett., 21, 1663-1666.
9. Cummins, P.R., Takeuchi, N. & Geller, R.J., 1997. Computation of complete synthetic seismograms for laterally heterogeneous models using the Direct Solution Method, Geophys. J. Int., 130, 1-16.
10. Davies, D., Kelly, E.J. & Filson, J.R., 1971. Vespa process for analysis of seismic signals, Nature Phys. Science, 232, 8-13.
11. Doornbos, D.J. & Vlaar, N.J., 1973. Regions of seismic wave scattering in the Earth's mantle and precursors to PKP, Nature Phys. Sci., 243, 58-61.
12. Dziewonski, A. & Anderson, D.L., 1981. Preliminary reference Earth model, Phys. Earth planet. Inter., 25, 297-356.
13. Falk, J., Tessmer, E. & Gajewski, D., 1996. Tube wave modelling by the finite-difference method with varying grid spacing, Pure appl. Geophys., 148, 77-93.
14. Furumura, T., Kennett, B.L.N. & Furumura, M., 1998. Seismic wavefield calculation for laterally heterogeneous whole earth models using the pseudospectral method, Geophys. J. Int., 135, 845-860.
15. Garnero, E.J. & Helmberger, D.V., 1995. A very slow basal layer underlying large-scale low-velocity anomalies in the lower mantle beneath the pacific: evidence from core phases, Phys. Earth planet. Inter., 91, 161-176.
16. Garnero, E.J. & Helmberger, D.V., 1998. Further structural constraints and uncertainties of a thin laterally varying ultralow-velocity layer at the base of the mantle, J. geophys. Res., 103, 12 495-12 509.
17. Geller, R.J. & Ohminato, T., 1994. Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the Direct Solution Method, Geophys. J. Int., 116, 421-446.
18. Grand, S.P. van der Hilst, R.D. & Widiyantoro, S., 1997. Global seismic tomography: a snapshot of convection in the Earth, Geol. Soc. Am. Today, 7, 1-7.
19. Haddon, R.A.W. & Cleary, J.R., 1974. Evidence for scattering of seismic PKP waves near the core mantle boundary, Phys. Earth planet. Inter., 8, 211-234.
20. Hedlin, M.A.H., Shearer, P.M. & Earle, P.S., 1997. Seismic evidence for small-scale heterogeneity throughout the Earth's mantle, Nature, 387, 145-150.
21. Igel, H., 1999. Wave propagation in spherical sections by the Chebyshev spectral method, Geophys. J. Int., 136, 559-567.
22. Igel, H. & Gudmundsson, O., 1997. Frequency-dependent effects on amplitude and waveforms of S and SS waves, Phys. Earth planet. Inter., 104, 229-246.
23. Igel, H. & Ita, J., 1997. Teleseismic effects of subducting slabs: a numerical study, in Upper Mantle Heterogeneity from Active and Passive Seismology, pp. 333-341, ed. Fuchs, K., Kluwer, Dordrecht.
24. Igel, H. & Weber, M., 1995. SH-wave propagation in the whole mantle using high-order finite differences, Geophys. Res. Lett., 22, 731-734.
25. Igel, H. & Weber, M., 1996. P-SV wave propagation in the Earth's mantle using finite differences: application to heterogeneous lower-most mantle structure, Geophys. Res. Lett., 23, 415-418.
26. Igel, H., Mora, P. & Riollet, B., 1995. Anisotropic wave propagation through finite difference grids, Geophysics, 60, 1203-1216.
27. Jastram, C. & Behle, A., 1992. Acoustic modelling on a grid of vertically varying grid spacing, Geophys. Prospect., 40, 157-169.
28. Jastram, C. & Tessmer, E., 1994. Elastic modelling on a grid with vertically varying spacing, Geophys. Prospect., 42, 357-370.
29. Kessler, D. & Kosloff, D., 1993. 3-D elastic simulation of wave propagation using cylindrical coordinates, J. seism. Expl., 2, 173-188.
30. King, D.W., Haddon, R.A.W. & Cleary, J.R., 1973. Array analysis of precursors to PKIKP in the distance range 128° to 142°, Geophys. J. R. astr. Soc., 37, 157-173.
31. Mozco, P., 1989. Finite-difference technique for SH-waves in 2-D media using irregular grids - application to the seismic response problem, Geophys. J. Int., 99, 321-329.
32. Müller, G., 1985. The reflectivity method: a tutorial, J. Geophys., 58, 153-174.
33. Stacey, F.D. & Loper, D.E., 1983. The thermal boundary layer interpretation of D″ and its role as a plume source, Phys. Earth planet. Inter., 33, 45-55.
34. Thomas, Ch., Weber, M., Wicks, C. & Scherbaum, F., 1999. Small scatterers in the lower mantle observed at German broadband arrays, J. geophys. Res., 104, 15 073-15 088.
35. van der Hilst, R.D., Widiyantoro, S. & Engdahl, E.R., 1997. Evidence for deep mantle circulation from global tomography, Nature, 386, 578-584.
36. Vidale, J.E. & Hedlin, M.A.H., 1998. Evidence for partial melt at the core-mantle boundary north of Tonga from the strong scattering of seismic waves. Nature, 391, 682-685.
37. Wen, L. & Helmberger, D.V., 1998a. Ultra low velocity zones near the core-mantle boundary from broadband PKP precursors, Science, 279, 1701-1703.
38. Wen, L. & Helmberger, D.V., 1998b. A two-dimensional P-SV hybrid method and its application to modeling localized structures near the core-mantle boundary, J. geophys. Res., 103, 17 901-17 918.
39. Yoon, K. & McMechan, G.A., 1995. Simulation of long-period 3-D elastic responses for whole Earth models, Geophys. J. Int., 120, 721-730.