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LA SURFACE D'ONDE DANS UN MILIEU ELASTIQUE ANISTROPE *
Author(s) -
LOEB J.
Publication year - 1963
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1963.tb02026.x
Subject(s) - elasticity (physics) , wavefront , wavelength , physics , surface (topology) , mathematical physics , calculus (dental) , mathematical economics , mathematics , theoretical physics , mathematical analysis , geometry , thermodynamics , optics , medicine , dentistry
A bstract The present work was initiated by an account given by Messrs. Kunetz and ?Erceville. It is greatly inspired by the article of G. W. Postma: Wave propagation in a stratified medium. There a construction of the “wave front” is given, starting from the surface of the velocities. This latter surface is the pedal of the wavefront. This theory is based on a certain section of Love's Treatise on the Mathematical Theory of Elasticity (Ch. XIII, sect. 209). However, no proof of this theory has been provided, neither in Postma's article nor in Love's work. It is the intention of this article to supply such a proof. Also the construction is proved to be valid only for distances from the point source which are large compared with the wavelength.