Asymptotic profile of solutions for 1-D wave equation with time-dependent damping and absorbing semilinear term

2011 ◽  
Vol 71 (4) ◽  
pp. 185-205 ◽  
Author(s):  
Kenji Nishihara
Keyword(s):  
Wave Equation ◽  
Time Dependent ◽  
Asymptotic Profile ◽  
D Wave

Efficient one‐pass 3-D time migration

Geophysics ◽  
1996 ◽  
Vol 61 (6) ◽  
pp. 1833-1845
Author(s):  
Matthew A. Brzostowski ◽  
Fred F. C. Snyder ◽  
Patrick J. Smith
Keyword(s):  
Fourier Transform ◽  
Wave Equation ◽  
Downward Continuation ◽  
Time Dependent ◽  
Single Pass ◽  
Time Migration ◽  
Data Volume ◽  
Lateral Variations ◽  
D Wave

An efficient one‐pass 3-D time migration algorithm is introduced as an alternative to Ristow’s splitting approach. This algorithm extends Black and Leong’s [Formula: see text] approach with a time‐dependent Stolt stretch operation called dilation. Migration using [Formula: see text] dilation consists of a single pass over the 3-D data volume after [Formula: see text] slices are formed with each [Formula: see text] slice downward continued independently. A number of downward continuation algorithms based upon the 3-D wave equation may be used. Dilation accommodates any lateral variations in velocity before the 3-D data volume is decomposed into [Formula: see text] slices via a Fourier transform. An inverse dilation operation is performed after the downward‐continuation operation and after the data volume have been inverse Fourier transformed subsequently along the [Formula: see text] direction. Migration using the [Formula: see text] approach yields a one‐pass 3-D time migration algorithm that is practical and efficient where the medium velocity is smoothly varying.

An exact non reflecting boundary condition for 2D time-dependent wave equation problems

Wave Motion ◽  
2014 ◽  
Vol 51 (1) ◽  
pp. 168-192 ◽  
Author(s):  
Silvia Falletta ◽  
Giovanni Monegato
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Time Dependent

A Widely Convergent Generalized Pulse- Spectrum Methods for 2-D Wave Equation Inversion

2003 ◽  
Vol 46 (2) ◽  
pp. 373-380 ◽  
Author(s):  
Guofeng FENG ◽  
Bo HAN ◽  
Jiaqi LIU
Keyword(s):  
Wave Equation ◽  
Pulse Spectrum ◽  
D Wave
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