Main Article Content
A method of seismic response analysis of 2 — D inhomogeneous structures, based on the ray method and on the application of the Debye procedure to include slight absorption, is presented. Program package RESPO, designed for such an analysis of the seismic response on the free surface of a general 2 — D laterally varying, geological near-surface structure assuming P, SV or SH plane-wave incidence from below, is briefly described. The package is tested on the classical model of a sedimentary basin. The study differs from previous applications of the ray method to the basin model in the following aspects. The frequency-domain approach is used. A comparison of the ray method results with the results of the discrete wavenumber method for long periods is made. More attention is paid to the analysis of the formation of the wave field. This analysis reveals two main types of wave propagation inside the basin: the dominant horizontally propagating local interference waves and less expressive vertically propagating waves in the central part of the basin. Effects of slight absorption (Futterman's causal absorption) are considered. The absorption causes a decrease in amplitudes and time delays at later times. The decrease in the amplitudes is not so expressive because of large periods and relatively short travel times of the waves investigated.
Authors who publish with this journal as of Vol. 63 agree to the following terms:
a. Authors share the copyright with this journal in equal parts (50% to the journal, 50% to the lead author), and grant the journal right of first publication, with the work after publication simultaneously licensed under Creative Commons Attribution License CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
b. Authors may enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal, and a reference to this copyright notice.
c. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) during the submission process, as this can lead to productive exchanges and earlier and greater citation of published work and better sales of the copyright.
Authors retain copyright and grant the Journal of Geophysics right of first publication, with the work two years after publication simultaneously licensed under the Creative Commons BY-NC-ND 4.0 License that allows others to share the work (with an acknowledgment of the work's authorship and initial publication in this journal), except for commercial purposes and for creating derivatives.
Authors can enter into separate, additional, but non-commercial contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository, but not publish it in a book), with an acknowledgment of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as that can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
This journal is one of a handful of scholarly journals that publish original scientific works under CC BY-NC-ND 4.0 - the only Creative Commons license affording the authors' intellectual property absolute worldwide protection.
Journal of Geophysics is published under the scholar-publishers model, meaning authors do not surrender their copyright to us. Instead, and unlike corporate publishers like Elsevier or Springer Nature that resell copyright to third-parties for up to $80,000 (per paper, per transaction!), the Journal of Geophysics authors share copyright equally with this journal.
Therefore, all the proceeds from reselling copyright to third parties get shared to equal parts (50% to the journal, 50% to the lead author). Under the Berne Convention, this protection is an inheritable right that lasts for as long as the rightsholder lives + 50 years.
By submitting to this journal, the lead author, on behalf of all co-authors, grants permission to this journal to represent all co-authors in negotiating copyright sales and collecting proceeds. The lead author should negotiate with his/her co-authors the modalities of distributing the lead author's portion of the proceeds. Usually, this is per pre-agreed percentage of each co-author's contribution to creating the copyrighted work. (more...)
Bard, P.-Y., Gariel, J.Ch.: The seismic response od 2-D sedimentary deposits with large vertical velocity gradients. Bull. Seismol. Soc. Am. 76, 343-366, 1986
Boore, D.M., Larner, K.L., Aki, K.: Comparison of two independent methods for the solution of wave scattering problems: response of a sedimentary basin to vertically incident SH waves. J. Geophys. Res. 76, 558-569, 1971
Cerveny, V.: Approximate expressions for the Hilbert transform of a certain class of functions and their application to the ray theory of seismic waves. Stud. Geophys. Geod. 20, 125-132, 1976
Cerveny, V.: The application of ray tracing to the numerical modeling of seismic wavefields in complex structures. In: Helbig, K, Treitel, S. (Eds.) Handbook of Geophysical Exploration. Section I: Seismic exploration. Dohr, G. (Ed.) Volume on Seismic shear waves, pp. 1-124. Geophysical Press, London 1985a
Cerveny, V.: Ray synthetic seismograms for complex two-dimensional and three-dimensional structures. J. Geophys. 58, 2-26, 1985b
Cerveny, V., Frangie, A.B.: Elementary seismograms of seismic body waves in dissipative media. Stud. Geophys. Geod. 24, 365-372, 1980
Cerveny, V., Frangie, A.B.: Effects of causal absorption on seismic body waves. Stud. Geophys. Geod. 26, 238-253, 1982
Cerveny, V., Hron, F.: The ray series method and dynamic ray tracing systems for 3 - D inhomogeneous media. Bull. Seismol. Soc. Am. 70, 47-77, 1980
Cerveny, V., Pšenčik, I.: SEIS83 - Numerical modeling of seismic wave fields in 2-D laterally varying layered structures by the ray method. In: Engdahl, E.R. (Ed.) Documentation of earthquake algorithms, Report SE-35, pp. 36-40. World Data Center (A) for Solid Earth Geophysics, Boulder, CO USA 1984
Cerveny, V., Ravindra, R.: Theory of seismic head waves. Toronto: University of Toronto Press 1971
Cerveny, V., Molotkov, I.A., Pšenčik, I.: Ray method in seismology. Praha: Karlova Universita 1977
Dravinski, M.: Scattering of plane harmonic SH wave by dipping layers of arbitrary shape. Bull. Seismol. Soc. Am. 73, 1303-1319, 1983
Futterman, W.l.: Dispersive body waves. J. Geophys. Res. 67, 5279-5291, 1962
Hong, T.L., Helm berger, D.V.: Glorified optics and wave propagation in nonplanar structure. Bull. Seismol. Soc. Am. 68, 1313-1330, 1978
Johnson, L.R., Silva, W.: The effects of unconsolidated sediments upon the ground motion during local earthquakes. Bull. Seismol. Soc. Am. 71, 127-142, 1981
Kjartansson, E.: Constant Q wave propagation and attentuation. J. Geophys. Res. 84, 4737-4748, 1979
Klem-Musatov, K.D., Aizenberg, A.M.: The ray method and the theory of edge waves. Geophys. J.R. Astron, Soc. 79, 35-50, 1984
Kohketsu, K.: 2-D reflectivity method and synthetic seismograms for irregularly layered structures - I. SH-wave generation. Geophys. J.R. Astron. Soc. 89, 821-838, 1987
Kravtsov, Yu.A., Orlov, Yu.I.: Geometrical optics of inhomogeneous media (in Russian). Moscow: Nauka 1980
Krebes, E.S.: The viscoelastic reflection/transmission problem: two special cases. Bull. Seismol. Soc. Am. 73, 1673-1683, 1983
Langston, Ch.A., Lee, J.J.: Effect of structure geometry on strong ground motions: the Duwamish river valley, Seattle, Washington. Bull. Seismol. Soc. Am. 73, 1851-1863, 1983
Lee, J.J., Langston, Ch.A.: Three-dimensional ray tracing and the method of principal curvature for geometric spreading. Bull. Seismol. Soc. Am. 73, 765-780, 1983a
Lee, J.J., Langston, Ch.A.: Wave propagation in a three-dimensional circular basin. Bull. Seismol. Soc. Am. 73, 1637-1653 1983b
Moczo, P., Cerveny, V., Pšenčik, I.: Documentation of earthquake algorithm - RESPO (program package). In: Zahradnik, J. (Ed.) Short description of computer programs for studying seismic response of nearsurface geological structures, pp. 14-17. Inst. Geophysics, Charles University, Prague Czech Republic 1985
Moczo, P., Cerveny, V., Pšenčik, I.: Application of ray method in seismic response analysis. In: Schenk, V., Schenkova, Z. (Eds.) Proc. of the 3rd Inter. Symp. on the Analysis of Seismicity and on Seismic Risk, Vol. II, pp. 455-463. Geophys. Inst. Czechosl. Acad. Sci. Prague 1986
Mueller, G.: Rheological properties and velocity dispersion of a medium with power-law dependence of Q on frequency. J. Geophys. 54, 20-29, 1983
Nowack, R., Aki, K.: The two-dimensional Gaussian beam synthetic method: testing and application. J. Geophys. Res. 89, 7797-7819, 1984
Sanchez-Sesma, F.J., Bravo, M.A., Herrera, I.: Surface motion of topographical irregularities for incident P, SV and Rayleigh waves. Bull. Seismol. Soc. Am. 75, 263-269, 1985
Virieux, J.: SH-wave propagation in heterogeneous media: velocitystress finite-difference method. Geophysics 49, 1933-1957, 1984
Y erokhin, L. Yu.: The seismic propagation in a valley with semielliptical boundary (in Russian). Izv. Akad. Nauk SSSR, Fizika Zemli, No. 8, 60-73, 1985
Zahradnik, J., Hron, F.: Seismic ground motion of sedimentary valley La Molina, Lima, Peru. In: Schenk, V. Schenkova, V. (Eds.) Proc. of the 3rd Inter. Symp. on the Analysis of Seismicity and on Seismic Risk, Vol. II, pp. 340-346. Geophys. Inst. Czechosl. Acad. Sci. Prague 1986
Zahradnik, J., Urban, L.: Effect of a simple mountain range on underground seismic motion. Geophys. J.R. Astron. Soc. 79, 167-183, 1984
Most read articles by the same author(s)
- V. Červeny, I. Pšenčik, Gaussian beams and paraxial ray approximation in three-dimensional elastic inhomogeneous media , Journal of Geophysics: Vol 53 No 1 (1983): Journal of Geophysics