In this work, we present an alternative approach to re-datum both sources and receivers at depth, under the framework of reflectivity-based extended images with two-way wave propagation in the background medium. In our work, we will consider a linear algebra approach to deal with the low-rank representation of extended image volumes with full offsets. We will never build entirely the resulting matrix but get only actions of it on well-chosen probing vectors, based on Low-Rank decomposition or randomized SVD. The proposed scheme allows us to have access to all the energy of the extended image volume matrix and still overcome the computational cost and memory usage associated with the number of wave-equation solutions and explicit storage employed by conventional migration methods. Experimental results on complex geological models demonstrate the efficacy of proposed methodology in performing multi-domain target imaging.

This presentation is part of Minisymposium “MS67 - Advances and new directions in seismic imaging and inversion (3 parts)”
organized by: Mauricio Sacchi (University of Alberta) , Sergey Fomel (University of Texas, Austin) , Laurent Demanet (MIT ) .

Authors:

Marie Graff-Kray (Dr.)

Ivan Vasconcelos (Dept. of Earth Sciences, Utrecht University )

Felix J. Herrmann (Georgia Institute of Technology)

Rajiv Kumar (Georgia Institute of Technology)

Keywords:

extended-image volumes, image deblurring, image reconstruction, numerical linear algebra, partial differential equation models, target-oriented imaging