Calculation of the wave propagation angle in complex media: application to turning wave simulations

Statistics – Computation

Scientific paper

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Numerical Approximations And Analysis, Computational Seismology, Wave Propagation

Scientific paper

The wave propagation angle is one of the key factors in seismic processing methods. For the dual-domain propagators, it is sometimes necessary to acquire the wave propagation angle in the space-frequency domain instead of the wavenumber domain or the angle domain. We propose a method dealing with this problem, in which the wavefield gradient is used for the calculation of the wave propagation angle. The wavefield gradient can be directly obtained by either the finite difference approximation or the marching expression of the propagator. This method is not applicable in the case of extremely low frequency due to the comparability between the wavelength and the grid interval. Combined with the superwide-angle one-way propagator, this approach is instrumental in simulating the turning wave, which is hard to be handled by the traditional one-way propagator. Numerical examples show the good performance of the superwide-angle one-way propagator with our approach involved. The turning wave is modelled accurately; as a result, a high-quality image of the overhanging salt flank can be obtained.

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