Seismic imaging operators derived from chained stacking integrals

Martin Tygel; Peter Hubral; Joerg Schleicher

doi:10.1117/12.218500

1 September 1995 Seismic imaging operators derived from chained stacking integrals

Martin Tygel, Peter Hubral, Joerg Schleicher

Proceedings Volume 2571, Mathematical Methods in Geophysical Imaging III; (1995) https://doi.org/10.1117/12.218500
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Given a 3D seismic record for an arbitrary measurement configuration and assuming a laterally inhomogeneous, isotropic macro-velocity model, a unifying approach to amplitude- preserving seismic reflection imaging is provided. It consists of (a) a Kirchhoff-type weighted diffraction stack to transform (migrate) the seismic data from the (time-domain) record space into the (depth-domain) image space, and of (b) a weighted isochrone stack to transform (demigrate) the migrated seismic image from the image space back into the record space. Both the diffraction and isochrone stacks can be applied in sequence for different measurement configurations, velocity models, or elementary waves to permit a variety of amplitude- preserving image transformations. These include, e.g., (a) the amplitude-preserving transformation of a 3D constant-offset record into a 3D zero-offset record, which is known as a migration to zero offset, (b) a dip-moveout correction, or (c) the transformation (here referred to as a remigration) of a 3D depth-migrated image directly in the image space into another one for a different macro-velocity model. By analytically chaining the two stacking integrals, each image transformation can be achieved with only one single weighted stack.

Citation Download Citation

Martin Tygel, Peter Hubral, and Joerg Schleicher "Seismic imaging operators derived from chained stacking integrals", Proc. SPIE 2571, Mathematical Methods in Geophysical Imaging III, (1 September 1995); https://doi.org/10.1117/12.218500

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