Love waves due to a point source in an axially symmetric heterogeneous layer between two homogeneous halfspaces

1969 ◽  
Vol 72 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Kehar Singh
Keyword(s):  
Point Source ◽  
Love Waves ◽  
Axially Symmetric ◽  
Heterogeneous Layer

Contributions to love-wave transformation theory: Earth-flattening transformation for love waves from a point source in a sphere

1973 ◽  
Vol 63 (3) ◽  
pp. 983-993
Author(s):  
Edgar Kausel ◽  
Fred Schwab
Keyword(s):  
Point Source ◽  
Love Wave ◽  
Love Waves ◽  
Wave Transformation ◽  
Transformation Theory ◽  
Flat Structure ◽  
Wave Response

abstract By means of the Biswas-Knopoff (1970) transformation, programs for the computation of the Love-wave response to a point source in a flat structure can be modified, quite easily, to compute the response in a sphere.

Disturbances in semi-infinite heterogeneous media generated by torsional sources. I

1972 ◽  
Vol 62 (2) ◽  
pp. 541-550
Author(s):  
R. S. Sidhu
Keyword(s):  
Heterogeneous Media ◽  
Formal Solution ◽  
Homogeneous Medium ◽  
Finite Depth ◽  
Free Boundaries ◽  
Axially Symmetric ◽  
Sh Waves ◽  
Reflected Waves ◽  
Buried Point ◽  
Heterogeneous Layer

abstract This paper studies the generation of axially symmetric transient SH waves in semi-infinite heterogeneous media in which μ and ρ vary with depth. The sources generating these waves are taken in the form of time-dependent torsional-body forces of finite dimensions. The solution is obtained using Hankel and Laplace transforms and Green's function. The disturbance from a buried point source of impulsive type is discussed in two cases, (a) μ = μo(1 + ɛz)2, ρ = ρo (1 + ɛz)2, (b) μ = μoe2az, ρ = ρoe2az. It is shown that, in contrast to the results for a homogeneous medium, in case (i), the wave reflected by the free surface generates secondary disturbances which trail behind the wave front and die out as t increases; the incident wave in this medium generates no such disturbance. In case (ii), however, both the incident as well as the reflected waves generate secondary disturbances. Formal solution for the disturbance in a heterogeneous layer of finite depth with stress-free boundaries is discussed in Appendix II.

Axially symmetric elastic waves in an unbounded inhomogeneous medium with exponentially varying properties

1963 ◽  
Vol 53 (3) ◽  
pp. 527-538
Author(s):  
M. H. Lock
Keyword(s):  
Point Source ◽  
Inhomogeneous Medium ◽  
Elastic Waves ◽  
Equations Of Motion ◽  
Axially Symmetric ◽  
Governing Equations ◽  
Homogeneous Case ◽  
Infinite Extent ◽  
P Type ◽  
Propagation Of Elastic Waves

Abstract The propagation of elastic waves in a traversely inhomogeneous medium of infinite extent is studied. A method to separate the governing equations of motion is described and solutions are obtained for the elastic waves generated by an impulsive P type point source. These solutions are compared with the corresponding solution for the homogeneous case and the various effects introduced by the inhomogeneity of the medium are discussed.

scholarly journals The field from an SH-point source in a continuously layered inhomogeneous medium: I. The field in a layer of finite depth

1966 ◽  
Vol 56 (3) ◽  
pp. 715-724
Author(s):  
N. J. Vlaar
Keyword(s):  
Boundary Value Problem ◽  
Point Source ◽  
Finite Number ◽  
Finite Depth ◽  
Far Field ◽  
Source Depth ◽  
Fourier Synthesis ◽  
Periodic Disturbance ◽  
Sturm Liouville ◽  
Heterogeneous Layer

abstract Expressions are derived for the field from an SH point source in a stratified heterogeneous layer of finite depth. It is found, that for a periodic disturbance, the contribution to the far field is mainly due to at most a finite number of unattenuated normal Love modes. The transient response of the medium is obtained by a Fourier synthesis. The final expressions are of a simple form, involving the eigenfunctions of a Sturm-Liouville boundary value problem. The excitation of a certain mode as a function of frequency and source depth is formulated in a concise form.

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