Research note
Derivations of gradients in angle-independent joint migration inversion
Yimin Sun (Aramco Overseas Company B.V.)
Eric Verschuur (ImPhys/Acoustical Wavefield Imaging )
Shan Qu (ImPhys/Acoustical Wavefield Imaging )
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Abstract
Although joint migration inversion has been proposed for several years, a thorough derivation and description of the involved gradients was not published. In this paper, we derive the gradient of both the angle-independent reflectivity and the velocity in a framework of acoustic angle-independent joint migration inversion. With some further approximations taken, the conclusions shown in previous publications can also be reached from our new derivation.