scholarly journals Full waveform moment tensor inversion by reciprocal finite difference Green’s function

2002 ◽  
Vol 54 (6) ◽  
pp. 715-720 ◽  
Author(s):  
Taro Okamoto
Keyword(s):  
Finite Difference ◽  
Green’S Function ◽  
Green's Function ◽  
Moment Tensor ◽  
Moment Tensor Inversion ◽  
Full Waveform

scholarly journals Imaging complex geologic structure with single‐arrival Kirchhoff prestack depth migration

Geophysics ◽  
1997 ◽  
Vol 62 (5) ◽  
pp. 1533-1543 ◽  
Author(s):  
François Audebert ◽  
Dave Nichols ◽  
Thorbjørn Rekdal ◽  
Biondo Biondi ◽  
David E. Lumley ◽  
...  
Keyword(s):  
Finite Difference ◽  
Green’S Function ◽  
Green's Function ◽  
Continuous Phase ◽  
Maximum Energy ◽  
Prestack Depth Migration ◽  
Depth Migration ◽  
Full Waveform ◽  
First Arrival ◽  
Paraxial Ray

We compare various forms of single‐arrival Kirchhoff prestack depth migration to a full‐waveform, finite‐difference migration image, using synthetic seismic data generated from the structurally complex 2-D Marmousi velocity model. First‐arrival‐traveltime Kirchhoff migration produces severe artifacts and image contamination in regions of the depth model where significant reflection energy propagates as late or multiple arrivals in the total reflection wavefield. Kirchhoff migrations using maximum‐energy‐arrival traveltime trajectories significantly improve the image in the complex zone of the Marmousi model, but are not as coherent as the finite‐difference migration image. By carefully incorporating continuous phase estimates with the associated maximum‐energy arrival traveltimes, we obtain single‐arrival Kirchhoff images that are similar in quality to the finite‐difference migration image. Furthermore, maximum‐energy Green's function traveltime and phase values calculated within the seismic frequency band give a Kirchhoff image that is (1) far superior to a first‐arrival—based image, (2) much better than the analogous high‐frequency paraxial‐ray Green's function image, and (3) closely matched in quality to the full‐waveform finite‐difference migration image.

Simulation of Rapid Heating in Fusion Reactor First Walls Using the Green’s Function Approach

1984 ◽  
Vol 106 (3) ◽  
pp. 486-490 ◽  
Author(s):  
A. M. Hassanein ◽  
G. L. Kulcinski
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Green’S Function ◽  
Green's Function ◽  
Difference Method ◽  
Moving Boundary ◽  
Rapid Heating ◽  
High Energy ◽  
Advantages And Disadvantages ◽  
The Finite Difference Method

The solution of the heat conduction probem in moving boundary conditions is very important in predicting accurate thermal behavior of materials when very high energy deposition is expected. Such high fluxes are encountered on first wall materials and other components in fusion reactors. A numerical method has been developed to solve this problem by the use of the Green’s function. A comparison is made between this method and a finite difference one. The comparison in the finite difference method is made with and without the variation of the thermophysical properties with temperature. The agreement between Green’s function and the finite difference method is found to be very good. The advantages and disadvantages of using the Green’s function method and the importance of the variation of material thermal properties with temperature are discussed.

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