## UC Berkeley / Lawrence Berkeley Laboratory

#### Wave Equations and Wave Extrapolations in Seismic Imaging

**Sergey Fomel, UT Austin**

##### October 5th, 2011 at 4PM–5PM in 939 Evans Hall [Map]

Numerical solutions of the classic wave equation and its companion
characteristic and bi-characteristic equations (the eikonal equation and ray
equations) are widely used in the practice of seismic imaging. In reflection
seismology, seismic data are collected on the surface in multiple experiments
with moving sources and receivers. Exploring the geometrical nature of seismic
wavefields and the physical connection between different experiments makes it
possible to define common imaging tasks as imaginary wave propagation processes
described by their own partial differential equations or pseudo-differential
equations. A constructive way for defining numerical wave-extrapolation
operators follows from a low-rank matrix approximation of Fourier symbols.