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Mathematics Group

Multiple and Escape Arrival Techniques for Geophysical Imaging and Inversion

Escape arrivals methods solve problem of computing multiple arrivals, based on high frequency approximations to the wave equation. These non-viscosity solutions, which contain swallowtails and overlaps, are required to accurately perform seismic inversion, since first arrivals may not contain the most energy. The methods rely on recasting the time-dependent Lagrangian characteristic equations in phase space as time-dependent Eulerian Liouville equations. These are then converted into coupled boundary value equations which, using variants of Ordered Upwind Methods, compute all arrivals from all possible sources simultaneously.