Summary
The problems of Cagniard and Abramovici-Alterman, regarding propagation of seismic pulses in horizontally layered media, are solved by a direct method without involving integral transforms.
Similar content being viewed by others
References
F. Abramovich andZ. Alterman,Computations for seismic pulse, Meth. Computat. Phys.4 (1965), 349–379.
M. Båth,Mathematical Aspects of Seismology (Elsevier Publishing Co., New York 1968).
L. Cagniard,Reflexion et refraction des ondes seismiques progressive (Gautier-Villars, Paris 1939).
L. Cagniard,Reflection and Refraction of Progressive Seismic Waves, translated and revised by E. A. Flinn and C. H. Dix (McGraw-Hill, New York 1962).
C. H. Dix,The method of Cagniard in seismic pulse problems, Geophys.19 (1954), 722–738.
H. Lamb,On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Roy. Soc. (London), Ser. A,203 (1904), 1–42.
A. Ungar,Wave propagation from point sources in layered media, Doctoral Dissertation (Hebrew), Tel-Aviv University, Tel-Aviv, Israel.
A. Ungar,An operator related to the inverse Laplace transform. To appear in SIAM J. on Math. Anal. Vol. 5, No. 3, May 1974.
A. Ungar andZ. Alterman,Acoustic wave propagation from a moving point source, Bull. Seis. Soc. Am. Vol. 63, No. 6, 1973.
A. Ungar andZ. Alterman,Waves in an elastic medium generated by a point source moving in an overlying fluid medium. To appear in this journal.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ungar, A., Alterman, Z. Propagation of elastic waves in layered media resulting from an impulsive point source. PAGEOPH 112, 365–379 (1974). https://doi.org/10.1007/BF00876147
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00876147