Modeling, migration, and inversion in the generalized source and receiver domain

Modeling, migration, and inversion in the generalized source and receiver domain

Yaxun Tang

Abstract:

I extend the theory of Born modeling, migration and inversion to the generalized source and receiver domain, a transformed domain that is obtained by linear combination of the encoded sources and receivers. I show how to construct the target-oriented imaging Hessian with encoded sources, with encoded receivers and with simultaneously encoded sources and receivers. I also demonstrate the connection of the imaging Hessian in the generalized source and receiver domain to the phase-encoded Hessian that I developed in SEP-134. As an application of the theory, I introduce a mixed phase-encoding scheme to compute the Hessian operator. The new scheme combines the advantages of both random phase encoding and plane-wave phase encoding. My preliminary tests of this new method on a simple model show promising results.

Modeling, migration, and inversion in the generalized source and receiver domain