Volume 10, Number 2, Summer 2002
SEISMIC WAVEFIELD ‘CONTINUATION’ IN THE
SINGLE SCATTERING APPROXIMATION:
A FRAMEWORK FOR DIP AND AZIMUTH MOVEOUT
MAARTEN V. DE HOOP, ALISON E. MALCOLM
AND JÉRÔME H. LE ROUSSEAU
Abstract. Seismic data are commonly modeled by a high-frequency
single scattering approximation. In this paper we use methods from
microlocal analysis and the theory of Fourier integral operators to study
continuation of the seismic wavefield in this single scattering approximation.
This amounts to a linearization in the medium coefficient about
a smooth background. The discontinuities are contained in the medium
perturbation. We use the smooth background to derive the continuation
as the composition of imaging, modeling and restriction operators.