Workstation computation of synthetic seismograms for vertical and horizontal profiles: A full wavefield response for a two-dimensional layered half-space

1993 ◽  
Vol 19 (3) ◽  
pp. 447-474 ◽  
Author(s):  
Albert J Rudman ◽  
Subhashis Mallick ◽  
L.Neil Frazer ◽  
Peter Bromirski
Keyword(s):  
Half Space ◽  
Synthetic Seismograms ◽  
Two Dimensional ◽  
Layered Half Space

Fast programs for layered half-space problems

1967 ◽  
Vol 57 (6) ◽  
pp. 1299-1315
Author(s):  
M. J. Randall
Keyword(s):  
Half Space ◽  
Matrix Method ◽  
Transfer Functions ◽  
Synthetic Seismograms ◽  
Time Function ◽  
Source Time Function ◽  
Fast Computer ◽  
The Matrix ◽  
Crustal Reflection ◽  
Layered Half Space

Abstract Knopoff's matrix method for the solution of P-SV problems has been somewhat simplified and modified to take account of oceanic structures. Advantage has been taken of a method of separating the frequency-dependent operations from the matrix multiplications to obtain very fast computer programs for calculating Rayleigh dispersion, crustal reflection functions, and crustal transfer functions. Applications include Rayleigh dispersion inversion, QitR, inversion, crustal investigations using pP, crustal transfer corrections to amplitude observations, and the construction of synthetic seismograms for investigation of the source time-function.

On a method to obtain a Green's function for a multi-layered half space

1964 ◽  
Vol 54 (4) ◽  
pp. 1087-1096
Author(s):  
I. Herrera
Keyword(s):  
Surface Wave ◽  
Integral Representation ◽  
Green’S Function ◽  
Surface Waves ◽  
Half Space ◽  
Green's Function ◽  
Rayleigh Waves ◽  
Two Dimensional ◽  
Representation Theorems ◽  
Layered Half Space

Abstract In this paper the surface wave terms of the Green's function for a two-dimensional multilayered half space are obtained. The method used is new and remarkable by its simplicity. It is based on the integral representation theorems for elastodynamics. The orthogonality properties of surface waves are generalized to include not only Love waves but Rayleigh waves as well.

A STUDY OF TWO‐DIMENSIONAL HEAD WAVES IN FLUID AND SOLID SYSTEMS

Geophysics ◽  
1963 ◽  
Vol 28 (4) ◽  
pp. 563-581 ◽  
Author(s):  
John W. Dunkin
Keyword(s):  
Half Space ◽  
Vertical Displacement ◽  
Point Of View ◽  
Head Wave ◽  
Apparent Velocity ◽  
Two Dimensional ◽  
Multiple Reflections ◽  
Transient Wave ◽  
Line Load ◽  
Head Waves

The problem of transient wave propagation in a three‐layered, fluid or solid half‐plane is investigated with the point of view of determining the effect of refracting bed thickness on the character of the two‐dimensional head wave. The “ray‐theory” technique is used to obtain exact expressions for the vertical displacement at the surface caused by an impulsive line load. The impulsive solutions are convolved with a time function having the shape of one cycle of a sinusoid. The multiple reflections in the refracting bed are found to affect the head wave significantly. For thin refracting beds in the fluid half‐space the character of the head wave can be completely altered by the strong multiple reflections. In the solid half‐space the weaker multiple reflections affect both the rate of decay of the amplitude of the head wave with distance and the apparent velocity of the head wave by changing its shape. A comparison is made of the results for the solid half‐space with previously published results of model experiments.

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