Surface Rotations Due to Kinematic Shear Dislocation Point Source in a Multilayered Elastic Medium

2019 ◽  
Vol 109 (1) ◽  
pp. 433-447
Author(s):  
Varun K. Singla ◽  
Vinay K. Gupta
Keyword(s):  
Geophysics ◽  
1983 ◽  
Vol 48 (9) ◽  
pp. 1204-1211 ◽  
Author(s):  
P. G. Kelamis ◽  
E. R. Kanasewich ◽  
F. Abramovici

Attenuation and dispersion are included in synthetic seismograms obtained by a Cagniard‐Pekeris formulation for the problem of a point source in a layer over a half‐space. The solution is decompose into generalized rays, and the effects of attenuation and dispersion are incorporated in an ad hoc manner in the frequency domain. The effects of the viscoelastic interfaces are taken into account by corrections to the reflection coefficient for an elastic medium. The results are illustrated with synthetics for a model simulating a weathered layer over a halt‐space. Both the SH and P‐SV cases are treated.


1992 ◽  
Vol 63 (2) ◽  
pp. 169-180 ◽  
Author(s):  
Emile A. Okal

Abstract We discuss the nature of the various factors contributing to the amplitude of a teleseismic body wave in the context of a geometrical ray solution, specifically: the radiation of elastic waves into an elastic medium by a point source; the radiation patterns resulting from the orientation of the double-couple in space; the effect of propagation through a radially heterogeneous Earth, known as geometrical spreading; the effect of anelastic attenuation; the contribution of depth phases to the seismogram; and finally the influence of distance on the receiver response function. For each of these parameters, we emphasize the physical arguments underlying the exact algebraic expressions of the various factors contributing to the seismic amplitude. Finally, we discuss the extension of the geometrical ray solution to deep seismic sources.


The displacements due to a radiating point source in an infinite anisotropic elastic medium are found in terms of Fourier integrals. The integrals are evaluated asymptotically, yielding explicit expressions for displacements at points far from the source. The relative amplitudes of waves from a point source are thus determined, and it is found that although in general the decay of wave amplitudes is proportional to the distance from the source, it is possible that in certain directions the decay is less than this. The method used in this paper is also shown to be an alternative way of deriving known results concerning the geometry of the propagation of disturbances. As an example, the radiation in a transversely isotropic medium from an isolated force varying harmonically with time is discussed.


1954 ◽  
Vol 44 (4) ◽  
pp. 571-596
Author(s):  
Edmund Pinney

Abstract The theory of the motion of the surface of a semi-infinite elastic solid due to an impulsive internal point source is developed, both for P-wave and S-wave point sources. The resulting motions have been computed numerically for the case λ = μ and are presented both in tabular form and graphically.


2012 ◽  
Vol 22 (3) ◽  
pp. 423-434 ◽  
Author(s):  
Alexey Val'kov ◽  
Vladimir Kuzmin ◽  
Vadim Romanov ◽  
Margarita Nikitina ◽  
Sergey Kozhevnikov ◽  
...  
Keyword(s):  

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