Inverse problems in remote sensing. Progress report

Abstract

Research was conducted to improve on presently used techniques for mapping soundspeed variations in the earth by monitoring the return from seismic probes. For small variations in the propagation speed, a linear integral equation was derived for that soundspeed variation. The integral equation is sufficiently general to characterize the placement of sources and receivers. The integral equation was solved in closed form for most of the source-receiver configurations of practical interest. The problem of dealing with the imperfect and incomplete data obtained in the real world was also confronted. The realistically constrained solution was implemented on the computer for a source-receiver configuration commonly used in seismic profiling. This latter project has dominated much of the research effort over the recent contract period.

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