Amplitude corrections for a narrow‐angle elastic wave equation

2006 ◽  
Author(s):  
Doug Angus
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Elastic Wave Equation ◽  
Narrow Angle

True amplitude corrections for a narrow-angle one-way elastic wave equation

Geophysics ◽  
2007 ◽  
Vol 72 (2) ◽  
pp. T19-T26 ◽  
Author(s):  
D. A. Angus
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Energy Flux ◽  
Wave Equations ◽  
Heterogeneous Media ◽  
Leading Order ◽  
Computationally Efficient ◽  
Elastic Wave Equation ◽  
Narrow Angle ◽  
Correction Terms

Wavefield extrapolators using one-way wave equations are computationally efficient methods for accurate traveltime modeling in laterally heterogeneous media, and have been used extensively in many seismic forward modeling and migration problems. However, most leading-order, one-way wave equations do not simulate waveform amplitudes accurately and this is primarily because energy flux is not accounted for correctly. I review the derivation of a leading-order, narrow-angle, one-way elastic wave equation for 3D media. I derive correction terms that enable energy-flux normalization and introduce a new higher-order, narrow-angle, one-way elastic wave extrapolator. By implementing these correction terms, the new true amplitude wave extrapolator allows accurate amplitude estimates in the presence of strong gradients. I present numerical examples for 1D velocity transition models to show that (1) the leading-order, narrow-angle propagator accurately models traveltimes, but overestimates transmitted- or primary-wave amplitudes and (2) the new amplitude corrected narrow-angle propagator accurately models both the traveltimes and amplitudes of all forward-traveling waves.

Full elastic wave-equation based seismic-to-well tying: A real data example from onshore Australia

2022 ◽  
Author(s):  
P. Haffinger ◽  
D. Gisolf ◽  
J. Coffin ◽  
N. Chasnikov ◽  
P. Doulgeris
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Real Data ◽  
Elastic Wave Equation

A numerical solution of the parabolic elastic wave equation

1995 ◽  
Vol 98 (5) ◽  
pp. 2953-2953
Author(s):  
Raymond J. Nagem ◽  
Ding Lee ◽  
Gongquin Li
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Numerical Solution ◽  
Elastic Wave Equation
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