3‐D wave propagation using finite differences

1991 ◽  
Author(s):  
Heiner Igel ◽  
Peter Mora ◽  
Dominique Rodrigues
Keyword(s):  
Wave Propagation ◽  
Finite Differences ◽  
D Wave

A comparison of continuous mass-lumped finite elements with finite differences for 3-D wave propagation

2014 ◽  
Vol 62 (5) ◽  
pp. 1111-1125 ◽  
Author(s):  
Elena Zhebel ◽  
Sara Minisini ◽  
Alexey Kononov ◽  
Wim A. Mulder
Keyword(s):  
Wave Propagation ◽  
Finite Elements ◽  
Finite Differences ◽  
Continuous Mass ◽  
D Wave

Verification of UDEC Modeling 1-D Wave Propagation in Rocks

2011 ◽  
Vol 90-93 ◽  
pp. 1998-2001
Author(s):  
Wei Dong Lei ◽  
Xue Feng He ◽  
Rui Chen
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Transmission Coefficient ◽  
Method Of Characteristics ◽  
Rock Joint ◽  
Rock Joints ◽  
Dynamic Problems ◽  
The Method Of Characteristics ◽  
Elastic Rock ◽  
D Wave

Three cases for 1-D wave propagation in ideal elastic rock, through single rock joint and multiple parallel rock joints are used to verify 1-D wave propagation in rocks. For the case for 1-D wave propagation through single rock joint, the magnitude of transmission coefficient obtained from UDEC results is compared with that obtained from the analytical solution. For 1-D wave propagation through multiple parallel joints, the magnitude of transmission coefficient obtained from UDEC results is compared with that obtained from the method of characteristics. For all these cases, UDEC results agree well with results from the analytical solutions and the method of characteristics. From these verification studies, it can be concluded that UDEC is capable of modeling 1-D dynamic problems in rocks.

Transformation from 2-D to 3-D wave propagation for horizontally layered media

Geophysics ◽  
1994 ◽  
Vol 59 (12) ◽  
pp. 1920-1926 ◽  
Author(s):  
Lasse Amundsen ◽  
Arne Reitan
Keyword(s):  
Wave Propagation ◽  
Point Source ◽  
Line Source ◽  
Layered Media ◽  
Cylindrical Symmetry ◽  
Seismic Processing ◽  
Geometric Spreading ◽  
Processing Algorithms ◽  
The Relationship ◽  
D Wave

The relationship between 2-D and 3-D wave propagation in horizontally layered media was first investigated by Dampney (1971). In the last few years the usefulness and feasibility of transforming point‐source responses with 3-D geometric spreading to equivalent line‐source responses with 2-D geometric spreading have been thoroughly discussed (see Helgesen, 1990; Wapenaar et al., 1990, 1992; Herrmann, 1992; Helgesen and Kolb, 1993; Amundsen, 1993). In the case of cylindrical symmetry this transformation constitutes a required preprocessing step for several seismic processing algorithms based on 2-D wave propagation. The work of Dampney (1971) has apparently been missed by the authors discussing the 3-D to 2-D geometric spreading transform.

3-D Wave Propagation Solution Of A Stable Resonator, Free-Electron Laser

1983 ◽  
Author(s):  
Anup Bhowmik ◽  
Ralph A. Cover ◽  
Ross H. Labbe
Keyword(s):  
Wave Propagation ◽  
Free Electron ◽  
Free Electron Laser ◽  
D Wave
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