Ray theoretical seismograms for laterally inhomogeneous structures

Main Article Content

V. Červeny

Abstract

Applications of the ray method to the construction of theoretical seismograms for laterally varying layered structures are discussed. Numerical examples are presented. It is shown that the refracted waves are very sensitive to the curvature of interfaces. Certain modifications and improvements of ray theoretical seismograms to increase their accuracy are suggested.


Google Scholar           ARK: https://n2t.net/ark:/88439/y076019


Permalink: https://geophysicsjournal.com/article/217


 

Article Details

How to Cite
Červeny, V. 1979. “Ray Theoretical Seismograms for Laterally Inhomogeneous Structures”. Journal of Geophysics 46 (1), 335-42. https://journal.geophysicsjournal.com/JofG/article/view/217.
Bookmark and Share

References

Alekseev, A.S., Mikhailenko, B.G. (1976) Solution of Lamb's problem for a vertically inhomogeneous elastic halfspace. Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 12:11-25

Alekseev, A.S., Mikhailenko, B.G. (1977) Numerical modelling of seismic wave propagation processes in a radially inhomogeneous model of the Earth. Dokl. Akad. Nauk SSSR 235:46-49

Alekseev, A.S., Mikhailenko, B.G. (1978) A solution of dynamic problems of elastic wave propagation in inhomogeneous media by a combination of partial separation of variables and finite-difference methods. Presented at the Workshop on 'Seismic Waves in Laterally Inhomogeneous Media', Liblice, February 27-March 3

Buland, R. (1977) Synthetic seismograms by modal summation (Abstract). Eos. 58:1190

Cagniard, L. (1962) Reflection and refraction of progressive seismic waves. McGraw Hill, New York

Červeny, V. (1979) Accuracy of ray theoretical seismograms. J. Geophys. 46:135-149

Červeny, V., Fuchs, K., Muller, G., Zahradnik, J. (1978) Theoretical seismograms for inhomogeneous elastic media. Submitted to: Vopr. dinamicheskoy teorii rasprostraneniya seismicheskikch voln, Vol. 20, Petrashen, G.I. (Ed.) Nauka, Leningrad

Červeny, V., Molotkov, I.A., Pšenčik, I. (1977) Ray method in seismology. Charles University, Prague

Červeny, V., Pšenčik, I. (1978) Ray theoretical seismograms for laterally varying layered structures. In: Teisseyre, R. (Ed.) Proceedings XV. General Assembly European Seismological Commission, Krakow 1976, Part I. Publ. Inst. Geophys. Pol. Acad. Sci. A-4 (115), pp. 173-185. PWN, Warszawa-Lodz

Chapman, C.H. (1976) Exact and approximate generalized ray theory in vertically inhomogeneous media. Geophys. J. R. Astron Soc. 46:201-233

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

Fuchs, K., Muller, G. (1971) Computation of synthetic seismograms with the reflectivity method and comparison with observations. Geophys. J. R. Astron. Soc. 23:417-433

Gilbert, F., Helmberger, D.V. (1972) Generalized ray theory for a layered sphere. Geophys. J. R. Astron. Soc. 27:58-80

Helmberger, D.V. (1968) The crust-mantle transition in the Bering Sea. Bull. Seism. Soc. Am. 58:179-214

Hoop, A.T. de (1960) A modification of Cagniard's method for solving seismic pulse problems. Appl. Sci. Res. 88:349-356

Jedrzejowska-Zwinczak, H. (1978) On the application of the simulation method to exploration seismic data interpretation. Presented at the Workshop on 'Seismic Waves in Laterally Inhomogeneous Media', Liblice, February 27-March 3

Julian, B.R., Gubbins, D. (1977) Three-dimensional seismic ray tracing. J. Geophys. 43:95-113

Kirpichnikova, N.J. (1971) Construction of solutions concentrated close to rays for the equations of elasticity theory in an inhomogeneous isotropic space (in Russian, English translation by Am. Math. Soc., 1974). In: Babich, V.M. (Ed.) Matematicheskiye voprosy teorii diffrakcii i rasprostraneniya voln, Vol. 1, pp. 103-113. Nauka, Leningrad

Klem-Musatov, K.D., Kovalevskiy, G.L., Chernyakov, B.G., Maksimov, L.G. 1975() Mathematical modelling of diffraction of seismic waves in angle-shaped regions. Geol. Geofiz. 11:116-124

Muller, G. (1969) Theoretical seismograms for some types of point sources in layered media. Part 1: Theory. J. Geophys. 34, 15-35, 1968. Part 2: Numerical calculations. J. Geophys. 34, 147-162:1968. Part 3: Single force and dipole sources of arbitrary orientation. J. Geophys. 35:347-371

Ratnikova, L. (1973) Methods of computation of seismic waves in thin-layered media. Nauka, Moscow

Smith, S.G. (1977) A reflection profile modelling system. Geophys. J. R. Astron. Soc. 49:723-737

Wiggins, R.A., Madrid, J.A. (1974) Body wave amplitude calculations. Geophys. J. R. Astron. Soc. 37:423-433