In this paper, we present a cost-effective low-rank factorized form of computing the full subsurface extended image volumes without explicitly calculating the receiver wavefields. The propose approach is computationally feasible, which exploits the low-rank structure of full subsurface extended image volumes organized as a matrix, thus avoiding the customary loop over sources. Using carefully selected stylized examples, we show how conventional migration images can be extracted from the low-rank factorized form. We also present a velocity continuation procedure that uses the same low-rank form and allows us to map the extended image for one velocity model to another velocity model without recomputing all the source wavefields.

Finite difference, Reverse time migration, Velocity analysis, Wave equation, Common offset
doi.org/10.1190/segam2018-2998404.1
SEG Annual Meeting

Kumar, R, Graff-Kray, M, van Leeuwen, T, & Herrmann, F.J. (2018). Low-rank representation of extended image volumes: Applications to imaging and velocity continuation. In SEG Technical Program Expanded Abstracts 2018. doi:10.1190/segam2018-2998404.1