Journal Title
Title of Journal: Surv Geophys
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Abbravation: Surveys in Geophysics
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Publisher
Springer Netherlands
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Authors: D A Angus
Publish Date: 2013/08/17
Volume: 35, Issue: 2, Pages: 359-393
Abstract
The study of seismic body waves is an integral aspect in global exploration and engineering scale seismology where the forward modeling of waves is an essential component in seismic interpretation Forward modeling represents the kernel of both migration and inversion algorithms as the Green’s function for wavefield propagation and is also an important diagnostic tool that provides insight into the physics of wave propagation and a means of testing hypotheses inferred from observational data This paper introduces the oneway wave equation method for modeling seismic wave phenomena and specifically focuses on the socalled operatorroot oneway wave equations To provide some motivation for this approach this review first summarizes the various approaches in deriving oneway approximations and subsequently discusses several alternative matrix narrowangle and wideangle formulations To demonstrate the key strengths of the oneway approach results from waveform simulation for global scale shearwave splitting modeling reservoirscale frequencydependent shearwave splitting modeling and acoustic waveform modeling in random heterogeneous media are shown These results highlight the main feature of the oneway wave equation approach in terms of its ability to model gradual vector for the elastic case and scalar for the acoustic case waveform evolution along the underlying wavefront Although not strictly an exact solution the oneway wave equation shows significant advantages eg computational efficiency for a range of transmitted wave threedimensional global exploration and engineering scale applicationsI would like to thank James Hammond for providing the SKS synthetic seismograms for the Ethiopian rift model Alan Baird for providing the algorithm to compute the frequencydependent fractureinduced elastic tensors and Tobias Müller for providing the stochastic heterogeneous acoustic model
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