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Bulletin of the Seismological Society of America; April 1966; v. 56; no. 2; p. 511-526
© 1966 Seismological Society of America
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Reflection of elastic waves from a linear transition layer

RAVINDRA N. GUPTA*

GEOPHYSICS LABORATORY UNIVERSITY OF TORONTO, TORONTO5, Canada

Abstract

A separation of P- and S-wave potentials is achieved for an inhomogeneous medium in which density is constant and Lame's parameters, {lambda} and µ, are assumed to vary as {lambda}/{lambda}1 = µ/µ1 = (1 + bz)2 where {lambda}1, µ1 and b are constants. The resulting equations are solved for an arbitrary angle of incidence. Plane wave reflection coefficients are obtained for the situation when the material mentioned above forms a transition layer between two homogeneous, elastic half-spaces. First and/or second-order discontinuities in material properties are permitted at the boundaries of the transition layer. Some numerical results are given.

Footnotes

* Now at Theoretical Geophysics Division, National Geophysical Research Institute, Hyderabad-7. A.P., India.




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