An omnidirectional seismic image extension. (1st March 2023)

• Record Type: Journal Article
• Authors: Kroode, Fons ten
• Is Part Of: Inverse problems. Volume 39:Number 3(2023)
• Publication Date: 2023-03-01
• Subjects: seismic inverse problem -- Fourier integral operators -- seismic image extension; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/acb285
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: This paper introduces an operator, which extends the Born operator for the linearized variable density acoustic wave equation. Inspired by angle dependent scattering, I will define it as acting on distributions depending on space and angle coordinates. I will show that it can be written as a weighted integral of space-shift extended operators associated to arbitrary directions after a suitable coordinate transform. I will also formulate conditions under which its normal operator is a pseudo-differential operator. These will be seen to be less restrictive than the ones imposed on horizontal space-shift extended operators in the sense that they allow diving wave paths.