scholarly journals Recovery of High Frequency Wave Fields for the Acoustic Wave Equation

2010 ◽  
Vol 8 (2) ◽  
pp. 428-444 ◽  
Author(s):  
Hailiang Liu ◽  
James Ralston
Keyword(s):  
Wave Equation ◽  
Acoustic Wave ◽  
High Frequency ◽  
Acoustic Wave Equation ◽  
Frequency Wave ◽  
Wave Fields ◽  
High Frequency Wave

Angle-Domain Gathers Computation Using Poynting Vector of Two-Way Acoustic Wave Equation

2014 ◽  
Vol 962-965 ◽  
pp. 2984-2987
Author(s):  
Jia Jia Yang ◽  
Bing Shou He ◽  
Ting Chen
Keyword(s):  
Wave Equation ◽  
Acoustic Wave ◽  
Real Data ◽  
Flow Density ◽  
Acoustic Wave Equation ◽  
Reverse Time ◽  
Reverse Time Migration ◽  
Wave Fields ◽  
Time Migration ◽  
Source Wave

Based on two-way acoustic wave equation, we present a method for computing angle-domain common-image gathers for reverse time migration. The method calculates the propagation direction of source wave-fields and receiver wave-fields according to expression of energy flow density vectors (Poynting vectors) of acoustic wave equation in space-time domain to obtain the reflection angle, then apply the normalized cross-correlation imaging condition to achieve the angle-domain common-image gathers. The angle gathers obtained can be used for migration velocity analysis, AVA analysis and so on. Numerical examples and real data examples demonstrate the effectiveness of this method.

Ray equations in retarded Snell midpoint coordinates

Geophysics ◽  
1984 ◽  
Vol 49 (12) ◽  
pp. 2100-2108
Author(s):  
Alfonso González‐Serrano ◽  
Mathew J. Yedlin
Keyword(s):  
Wave Equation ◽  
Acoustic Wave ◽  
Group Velocity ◽  
High Frequency ◽  
Frame Of Reference ◽  
Velocity Analysis ◽  
Acoustic Wave Equation ◽  
Arbitrary Angle ◽  
Frequency Limit ◽  
Velocity Function

Group velocity (ray) equations describe the dynamic behavior of wave‐equation extrapolators in the high‐frequency limit. They are found in general from the dispersion relation of an arbitrary acoustic wave equation. Wave‐equation operators require a background extrapolation velocity. As an application of the group velocity equations, a sensitivity analysis to the background‐operator velocity illustrates the trade‐off between uncertainty in velocity and precision in imaging. Exact wave extrapolators are most useful when the exact velocity function is known. Wave‐equation imaging for velocity analysis in Snell midpoint coordinates requires velocity‐insensitive extrapolation operators. In this frame of reference, approximations of the exact acoustic wave equation are referenced to an arbitrary angle of propagation. Group velocity equations show that in Snell midpoint coordinates, using wide‐reference propagation angles, the fifteen‐degree wave equation gives satisfactory velocity‐independent images. The forty‐five degree wave equation does not appreciably improve the image.

Gaussian beam decomposition of high frequency wave fields using expectation–maximization

2011 ◽  
Vol 230 (6) ◽  
pp. 2303-2321 ◽  
Author(s):  
Gil Ariel ◽  
Björn Engquist ◽  
Nicolay M. Tanushev ◽  
Richard Tsai
Keyword(s):  
Gaussian Beam ◽  
Expectation Maximization ◽  
High Frequency ◽  
Frequency Wave ◽  
Wave Fields ◽  
High Frequency Wave

Gaussian beam decomposition of high frequency wave fields

2009 ◽  
Vol 228 (23) ◽  
pp. 8856-8871 ◽  
Author(s):  
Nicolay M. Tanushev ◽  
Björn Engquist ◽  
Richard Tsai
Keyword(s):  
Gaussian Beam ◽  
High Frequency ◽  
Frequency Wave ◽  
Wave Fields ◽  
High Frequency Wave
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