Summary
Dispersion relations for Love and Rayleigh waves in a layer on a half-space are modified by introducing quadratic slownesses instead of velocities. The advantages of this approach are demonstrated on analytical formulae for computing the group velocity.
Similar content being viewed by others
References
Bolt B.A., Butcher J.C.: Rayleigh Wave Dispersion for a Single Layer on an Elastic Half Space.Australian Journal of Physics,13 (1960), 498 - 504.
Bromwich T.J.: On the Influence of Gravity on Elastic Waves, and, in Particular, on the Vibrations of an Elastic Globe.Proc. London Math. Soc.,30 (1898), 98 -120.
Červený V.:Ray Methods for Three-Dimensional Seismic Modelling, University of Trondheim, Norvegian Institute of Technology, Trondheim, 1987.
Dunkin J.W.: Computation of Modal Solution in Layered, Elastic Media at High Frequencies.Bull. Seism. Soc. Am.,55 (1965), 335 - 358.
Ewing W.M., Jardetzky W.S. and Press F.:Elastic Waves in Layered Media, McGraw-Hill, New York, 1957.
Harkrider D.G.: The Perturbation of Love Wave Spectra.Bull. Seism. Soc. Am.,58 (1968), 861 - 880.
Haskell N.A.: The Dispersion of Surface Waves in Multilayered Media.Bull. Seism. Soc. Am.,43 (1953), 17 - 34.
Love A.E.H.:Some Problems of Geodynamics, Cambridge University Press, Cambridge, 1911, (republication by Dover Publications, New York, 1967).
Meissner E.: Elastische-Oberflächen-Querwellen.Verhandl. Intern. Kongr. Tech. Mech., Zürich, 1926, 3 – 11.
Money H.M., Bolt B.A.: Dispersive Characteristics of the First Three Rayleigh Modes for a Single Surface Layer.Bull. Seism. Soc. Am.,56 (1966), 43 - 67.
Novotný O.: Partial Derivatives of Dispersion Curves of Love Waves in a Layered Medium.Studia geoph. et geod.,14 (1970), 36 - 50.
Novotný O.: Partial Derivatives of Dispersion Curves of Love Waves in a Single-layered Medium.Studia geoph. et geod.,15 (1971), 24 - 35.
Novotný O.: Methods of Computing the Partial Derivatives of Dispersion Curves.Pageoph,114 (1976), 765 - 774.
Proskuryakova T.A., Novotny 0., Voronina E.V.:Izuchenie stroeniya Zemli metodom poverkhnostnykh voln (Central'naya Evropa), Nauka, Moskva, 1981 (in Russian).
Rodi W.L., Glover P., Li T.M.C., Alexander S.S.: A Fast, Accurate Method for Computing Group-Velocity Partial Derivatives for Rayleigh and Love Modes.Bull. Seism. Soc. Am.,65 (1975), 1105 - 1114.
Savarenskij E.F., Kirnos D.P.:Elementy sejsmologii i sejsmometrii, GITTL, Moskva, 1956 (in Russian).
Savarensky E.:Seismic Waves, Mir Publishers, Moscow, 1975.
Schwab F.A., Knopoff L.: Fast Surface Wave and Free Mode Computations. In:Methods in Computational Physics, Vol. II (Ed.: B.A. Bolt), Academic Press, New York and London, 1972, 87 - 180.
Thomson W.T.: Transmission of Elastic Waves through a Stratified Solid Medium.J. Appl. Phys.,21 (1950), 89 - 93.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Novotný, O., Burlako, L.V. & Proskuryakova, T.A. Modifications of the dispersion relations for surface waves in a layer on a half-space. Stud Geophys Geod 40, 167–177 (1996). https://doi.org/10.1007/BF02296356
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02296356