Offset plane wave propagation in laterally varying media

Charles C. Mosher; Douglas J. Foster

doi:10.1117/12.323293

1 October 1998 Offset plane wave propagation in laterally varying media

Charles C. Mosher, Douglas J. Foster

Proceedings Volume 3453, Mathematical Methods in Geophysical Imaging V; (1998) https://doi.org/10.1117/12.323293
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

The offset plane wave equation, which is obtained from a Radon transformation of the scalar wave equation in midpoint-offset coordinates, provides a convenient framework for developing efficient amplitude preserving migrations. The Radon transformation results in additional amplitude terms that must be accounted for in downward continuation and migration. These terms include an obliquity factor and point source correction resulting from the Radon transform over offset, and transmission terms to account for the transport equation in variable velocity media. These terms can be expressed in exact form in the spectral domain for vertically varying media. For laterally varying media, we currently use a phase-shift plus interpolation framework for the amplitude terms, and a Taylor's series expansion of the velocity field over offset to provide an approximate solution to the offset plane wave equation. Phase shift and finite difference migrations based on this framework produce images on standard models that are comparable to prestack Kirchhoff and shot record migrations.

Citation Download Citation

Charles C. Mosher and Douglas J. Foster "Offset plane wave propagation in laterally varying media", Proc. SPIE 3453, Mathematical Methods in Geophysical Imaging V, (1 October 1998); https://doi.org/10.1117/12.323293

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available