Synthetic seismograms - the Rayleigh waves modal summation
Article Sidebar
Published:
Dec 19, 1985
Keywords:
Synthetic seismograms,
Rayleigh modes,
Anelasticity
Volumes
Vols. 1-18 (1924-1944), ISSN 0044-2801
Main Article Content
Abstract
From the latest developments of algorithms for the computation of eigenvalues and eigenfunctions of Rayleigh waves for flat layered anelastic models of the Earth, it is possible to construct, with highly satisfactory efficiency and accuracy, "complete" synthetic seismograms also at high frequencies. Examples are given both for continental and oceanic structural models made up of 70 layers and more and extending to depths of about 1,100 km.
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Article Details
How to Cite
Panza, G. (1985). Synthetic seismograms - the Rayleigh waves modal summation. Journal of Geophysics, 58(1), 125-145. Retrieved from https://journal.geophysicsjournal.com/JofG/article/view/67
Section
References
Aki, K., Richards, P.G. (1980) Quantitative seismology. Theory and methods. San Francisco: W.H. Freeman and Co.
Ben-Menahem, A. (1961) Radiation of seismic surface waves from finite moving sources. Bull. Seismol. Soc. Am. 51:401-435
Ben-Menahem, A., Harkrider, D.G. (1964) Radiation patterns of seismic surface waves from buried dipolar point sources in a flat stratified Earth. J. Geophys. Res. 69:2605-2620
Brune, J.N. (1962) Attenuation of dispersed wave trains. Bull. Seismol. Soc. Am. 52:109-112
Calcagnile, G., Panza, G.F. (1974) Vertical and SV components of Sa. Geophys. J. R. Astron. Soc. 38:317-325
Chiaruttini, C., Costa, G., Panza, G.F. (1985) Wave propagation in multilayered media: The effect of waveguides in oceanic and continental Earth models. J. Geophys. 58:189-196
Cuscito, M., Panza, G.F. (1981) Determinazione simultanea del momento sismico e dei parametri strutturali usando sismogrammi sintetici completi. Rend. Soc. Geol. It. 4:477-478
Dunkin, J.W. (1965) Computation of modal solutions in layered elastic media at high frequencies. Bull. Seismol. Soc. Am. 55:335-358
Futtermann, W. (1962) Dispersive body waves. J. Geophys. Res. 67:5279-5291
Harkrider, D.G. (1964) Surface waves in multilayered elastic media. 1. Rayleigh and Love waves from buried sources in a multilayered elastic half-space. Bull. Seismol. Soc. Am. 54:627-679
Harvey, D.J. (1981) Seismograms synthesis using normal mode superposition: the locked mode approximation. Geophys. J. R. Astron. Soc. 66:37-69
Haskell, N.A. (1953) The dispersion of surface-waves on multilayered media. Bull. Seismol. Soc. Am. 43:17-34
Kanamori, H., Given, J.W. (1981) Use of long-period surface wave for rapid determination of earthquake-source parameters. Phys. Earth Planet. Int. 27:8-31
Kennett, B.L.N. (1983) Seismic wave propagation in stratified media. Cambridge: Cambridge University Press
Kerry, N.J. (1981) Synthesis of seismic surface waves. Geophys. J. R. Astron. Soc. 64:425-446
Knopoff, L. (1964a) A matrix method for elastic wave problems. Bull. Seismol. Soc. Am. 54:431-438
Knopoff, L. (1964b) Q. Rev. Geophys. 2:625-660
Knopoff, L., Aki, K., Archambeau, C.B., Ben-Menahem, A., Hudson, J.A. (1964) Attenuation of dispersed waves. J. Geophys. Res. 69:1655-1657
Liao, A., Schwab, F., Mantovani, E. (1978) Computation of complete theoretical seismograms for torsional waves. Bull. Seismol. Soc. Am. 68:317-324
Mueller, S. (1977) A new model of the continental crust. In: The Earth's crust, J. Heacock ed.: pp. 289-317, A.G.U., Monogr. 20
O'Connell, R.J., Budiansky, B. (1978) Measure of dissipation in viscoelastic media. Geophys. Res. Lett. 5:5-8
Panza, G.F. (1980) Evolution of the Earth's lithosphere. In: Mechanisms of continental drift and plate Tectonics, P.A. Davies and S.K. Runcorn eds.: pp. 75-87. Academic Press
Panza, G.F., Calcagnile, G. (1974) Lg, Li and Rg from Rayleigh modes. Geophys. J. R. Astron. Soc. 40:475-487
Panza, G.F., Cuscito, M. (1982) Influence of focal mechanism on shape of isoseismals: Irpinia earthquake of November 23, 1980 Pure Appl. Geophys. 120:577-582
Panza, G.F., Schwab, F., Knopoff, L. (1972) Channel and crustal Rayleigh waves. Geophys. J. R. Astron. Soc. 30:273-280
Panza, G.F., Schwab, F., Knopoff, L. (1973) Multimode surface waves for selected focal mechanisms. I. Dip-slip on a vertical fault plane. Geophys. J. R. Astron. Soc. 34:265-278
Pekeris, C.L. (1948) Theory of propagation of explosive sound in shallow water. Geol. Soc. Am. Mem. 27:1-116
Pestel, E. C., Leckie, F.A. (1963) Matrix methods in elastomechanics. New York: McGraw-Hill
Schwab, F. (1970) Surface-wave dispersion computations: Knopoffs method. Bull. Seismol. Soc. Am. 60:1491-1520
Schwab, F., Knopoff, L. (1971) Surface waves on multilayered anelastic media. Bull. Seismol. Soc. Am. 61:893-912
Schwab, F., Knopoff, L. (1972) Fast surface wave and free mode computations. In: Methods in computational physics, Vol.11. B.A. Bolt, ed.: pp. 87-180. New York: Academic Press
Schwab, F., Knopoff, L. (1973) Love waves and the torsional free modes of a multilayered anelastic sphere. Bull. Seismol. Soc. Am. 63:1107-1117
Schwab, F., Nakanishi, K., Cuscito, M., Panza, G.F., Liang, G., Frez, J. (1984) Surface-wave computations and the synthesis of theoretical seismograms at high frequencies. Bull. Seismol. Soc. Am. (in press)
Schwab, F., Cuscito, M., Panza, G.F., Nakanishi, K. (1985) Surfacewave computations and the synthesis of theoretical seismograms at high frequency. II. Group velocity, attenuation due to anelasticity and frequency intervals. In preparation
Stewart, G.S., Kanamori, H. (1982) Complexity of rupture in large strike-slip earthquakes in Turkey. Phys. Earth Planet. Int. 28:70-84
Suhadolc, P., Panza, G.F. (1985) Some applications of seismosynthesis through the summation of modes of Rayleigh waves. J. Geophys. 58:183-188
Suhadolc, P., Panza, G.F., Cuscito, M., Schwab, F. (1985) Fully automatic computation of synthetic seismograms for P-SV motion in 1Hz. In preparation
Takeuchi, H., Saito, M. (1972) Seismic surface wave. In: Methods in computational physics, Vol. 11, B.A. Bolt, ed.: pp. 217-295. New York: Academic Press
Thomson, W.T. (1950) Transmission of elastic wave& through a stratified solid medium. J. Appl. Phys. 21:89-93
Thrower, E.N. (1965) The computation of dispersion of elastic waves in layered media. J. Sound. Vib. 2:210-226
Watson, T.H. (1970) A note on fast computation of Rayleigh wave dispersion in the multilayered half-space. Bull. Seismol. Soc. Am. 60:161-166
Woodhouse, J.H. (1983) The joint inversion of seismic wave forms for lateral variations in Earth structure and earthquake source parameters. In: Earthquakes: Observations, theory and interpretation, H. Kanamori and E. Boschi, eds. Amsterdam: North-Holland Publ. Co.
Ben-Menahem, A. (1961) Radiation of seismic surface waves from finite moving sources. Bull. Seismol. Soc. Am. 51:401-435
Ben-Menahem, A., Harkrider, D.G. (1964) Radiation patterns of seismic surface waves from buried dipolar point sources in a flat stratified Earth. J. Geophys. Res. 69:2605-2620
Brune, J.N. (1962) Attenuation of dispersed wave trains. Bull. Seismol. Soc. Am. 52:109-112
Calcagnile, G., Panza, G.F. (1974) Vertical and SV components of Sa. Geophys. J. R. Astron. Soc. 38:317-325
Chiaruttini, C., Costa, G., Panza, G.F. (1985) Wave propagation in multilayered media: The effect of waveguides in oceanic and continental Earth models. J. Geophys. 58:189-196
Cuscito, M., Panza, G.F. (1981) Determinazione simultanea del momento sismico e dei parametri strutturali usando sismogrammi sintetici completi. Rend. Soc. Geol. It. 4:477-478
Dunkin, J.W. (1965) Computation of modal solutions in layered elastic media at high frequencies. Bull. Seismol. Soc. Am. 55:335-358
Futtermann, W. (1962) Dispersive body waves. J. Geophys. Res. 67:5279-5291
Harkrider, D.G. (1964) Surface waves in multilayered elastic media. 1. Rayleigh and Love waves from buried sources in a multilayered elastic half-space. Bull. Seismol. Soc. Am. 54:627-679
Harvey, D.J. (1981) Seismograms synthesis using normal mode superposition: the locked mode approximation. Geophys. J. R. Astron. Soc. 66:37-69
Haskell, N.A. (1953) The dispersion of surface-waves on multilayered media. Bull. Seismol. Soc. Am. 43:17-34
Kanamori, H., Given, J.W. (1981) Use of long-period surface wave for rapid determination of earthquake-source parameters. Phys. Earth Planet. Int. 27:8-31
Kennett, B.L.N. (1983) Seismic wave propagation in stratified media. Cambridge: Cambridge University Press
Kerry, N.J. (1981) Synthesis of seismic surface waves. Geophys. J. R. Astron. Soc. 64:425-446
Knopoff, L. (1964a) A matrix method for elastic wave problems. Bull. Seismol. Soc. Am. 54:431-438
Knopoff, L. (1964b) Q. Rev. Geophys. 2:625-660
Knopoff, L., Aki, K., Archambeau, C.B., Ben-Menahem, A., Hudson, J.A. (1964) Attenuation of dispersed waves. J. Geophys. Res. 69:1655-1657
Liao, A., Schwab, F., Mantovani, E. (1978) Computation of complete theoretical seismograms for torsional waves. Bull. Seismol. Soc. Am. 68:317-324
Mueller, S. (1977) A new model of the continental crust. In: The Earth's crust, J. Heacock ed.: pp. 289-317, A.G.U., Monogr. 20
O'Connell, R.J., Budiansky, B. (1978) Measure of dissipation in viscoelastic media. Geophys. Res. Lett. 5:5-8
Panza, G.F. (1980) Evolution of the Earth's lithosphere. In: Mechanisms of continental drift and plate Tectonics, P.A. Davies and S.K. Runcorn eds.: pp. 75-87. Academic Press
Panza, G.F., Calcagnile, G. (1974) Lg, Li and Rg from Rayleigh modes. Geophys. J. R. Astron. Soc. 40:475-487
Panza, G.F., Cuscito, M. (1982) Influence of focal mechanism on shape of isoseismals: Irpinia earthquake of November 23, 1980 Pure Appl. Geophys. 120:577-582
Panza, G.F., Schwab, F., Knopoff, L. (1972) Channel and crustal Rayleigh waves. Geophys. J. R. Astron. Soc. 30:273-280
Panza, G.F., Schwab, F., Knopoff, L. (1973) Multimode surface waves for selected focal mechanisms. I. Dip-slip on a vertical fault plane. Geophys. J. R. Astron. Soc. 34:265-278
Pekeris, C.L. (1948) Theory of propagation of explosive sound in shallow water. Geol. Soc. Am. Mem. 27:1-116
Pestel, E. C., Leckie, F.A. (1963) Matrix methods in elastomechanics. New York: McGraw-Hill
Schwab, F. (1970) Surface-wave dispersion computations: Knopoffs method. Bull. Seismol. Soc. Am. 60:1491-1520
Schwab, F., Knopoff, L. (1971) Surface waves on multilayered anelastic media. Bull. Seismol. Soc. Am. 61:893-912
Schwab, F., Knopoff, L. (1972) Fast surface wave and free mode computations. In: Methods in computational physics, Vol.11. B.A. Bolt, ed.: pp. 87-180. New York: Academic Press
Schwab, F., Knopoff, L. (1973) Love waves and the torsional free modes of a multilayered anelastic sphere. Bull. Seismol. Soc. Am. 63:1107-1117
Schwab, F., Nakanishi, K., Cuscito, M., Panza, G.F., Liang, G., Frez, J. (1984) Surface-wave computations and the synthesis of theoretical seismograms at high frequencies. Bull. Seismol. Soc. Am. (in press)
Schwab, F., Cuscito, M., Panza, G.F., Nakanishi, K. (1985) Surfacewave computations and the synthesis of theoretical seismograms at high frequency. II. Group velocity, attenuation due to anelasticity and frequency intervals. In preparation
Stewart, G.S., Kanamori, H. (1982) Complexity of rupture in large strike-slip earthquakes in Turkey. Phys. Earth Planet. Int. 28:70-84
Suhadolc, P., Panza, G.F. (1985) Some applications of seismosynthesis through the summation of modes of Rayleigh waves. J. Geophys. 58:183-188
Suhadolc, P., Panza, G.F., Cuscito, M., Schwab, F. (1985) Fully automatic computation of synthetic seismograms for P-SV motion in 1Hz. In preparation
Takeuchi, H., Saito, M. (1972) Seismic surface wave. In: Methods in computational physics, Vol. 11, B.A. Bolt, ed.: pp. 217-295. New York: Academic Press
Thomson, W.T. (1950) Transmission of elastic wave& through a stratified solid medium. J. Appl. Phys. 21:89-93
Thrower, E.N. (1965) The computation of dispersion of elastic waves in layered media. J. Sound. Vib. 2:210-226
Watson, T.H. (1970) A note on fast computation of Rayleigh wave dispersion in the multilayered half-space. Bull. Seismol. Soc. Am. 60:161-166
Woodhouse, J.H. (1983) The joint inversion of seismic wave forms for lateral variations in Earth structure and earthquake source parameters. In: Earthquakes: Observations, theory and interpretation, H. Kanamori and E. Boschi, eds. Amsterdam: North-Holland Publ. Co.