Diffraction Tomography Applied to Crosshole and VSP Seismic Data

J. A. Young

doi:10.1071/EG989169

ISSN: 0812-3985
E-ISSN: 1834-7533

Diffraction Tomography Applied to Crosshole and VSP Seismic Data
Authors J. A. Young^a
View Affiliations Hide Affiliations

^a Centre for Geophysical Exploration Research Macquarie University, , NSW, 2109, Australia
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 20, Issue 1-2, Mar 1989, p. 169 - 173
DOI: https://doi.org/10.1071/EG989169
- Published online: 01 Mar 1989

Abstract

Diffraction tomography is an approach to seismic inversion which is analogous to f-k migration. It differs from f-k migration in that it attempts to obtain a more quantitative rather than qualitative image of the Earth's subsurface. Diffraction tomography is based on the generalized projection-slice theorem which relates the scattered wave field to the Fourier spectrum of the scatterer. Factors such as the survey geometry and the source bandwidth determine the data coverage in the spatial Fourier domain which in turn determines the image resolution. Limited view-angles result in regions of the spatial Fourier domain with no data coverage, causing the solution to the tomographic reconstruction problem to be nonunique. The simplistic approach is to assume the missing samples are zero and perform a standard reconstruction but this can result in images with severe artefacts. Additional a priori information can be introduced to the problem in order to reduce the nonuniqueness and increase the stability of the reconstruction. This is the standard approach used in ray tomography but it is not commonly used in diffraction tomography applied to seismic data.

This paper shows the application of diffraction tomography to crosshole and VSP seismic data. Using synthetic data, the effects on image resolution of the survey geometry and the finite source bandwidth are examined and techniques for improving image quality are discussed.

Article metrics loading...

/content/journals/10.1071/EG989169

1989-03-01

2026-01-23

From This Site

/content/journals/10.1071/EG989169

dcterms_title,dcterms_subject,pub_keyword

-contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution

10

5

Full text loading...

References

Clayton, R. W., and Stolt, R. H. (1981), 'A Born-WKBJ inversion method for acoustic reflection data', Geophysics,46, 1559-1567.
Devaney, A. J. (1983), 'A computer simulation study of diffraction tomography', IEEE Trans. Biomedical Eng. BME-30, 377-386.
Devaney, A. J. (1984), 'Geophysical diffraction tomography', IEEETrans. Geosci. Remote Sensing GE-22, 3-13.
Harris, J. L. (1964), 'Diffraction and resolving power', J. Opt. Soc. Am. ■ 54, 931-936.
Kaveh, M., Soumekh, M., and Greenleaf, J.F. (1984), 'Signal processing for diffraction tomography', IEEE Trans. Sonics andUltrasonics SU-31, 230-239.
Menke, W. (1985), 'Imaging fault slip using teleseismic waveforms: analysis of a typical incomplete tomography problem', Geophys.J.R. Astr. Soc,81, 197-204.
Pan, S. X., and Kak, A. C. (1983), 'A computational study of reconstruction algorithms for diffraction tomography: interpolation versus filtered backpropagation', IEEE Tans. Acoust., Speech,Signal Process. ASSP-31, 1262-1275.
Rogers, P.G., Edwards, S.A., Young, J.A., and Downey, M. (1987), 'Geotomography for the delineation of coal seam structure', Geoexploration,24, 301-328.
Slaney, M., Kak, A. C, and Larsen, L. E. (1984), 'Limitations of imaging with first-order diffraction tomography', IEEE Trans. MicrowaveTheory Tech. MTT-32, 860-874.
Stolt, R. H., and Weglein, A. B. (1985), 'Migration and inversion of seismic data', Geophysics,50, 2548-2472.
Wu. R.-S., and Toksdz, M. N. (1987), 'Diffraction tomography and multisource holography applied to seismic imaging', Geophysics52, 11-25.

/content/journals/10.1071/EG989169

Article Type: Research Article

Keyword(s): crosshole seismic data; diffraction tomography; image resolution; seismic inversion; VSP seismic data

Most Cited This Month Most Cited RSS feed

- A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys
  
  Authors M.H. Loke, Ian Acworth and Torleif Dahlin
- Reverse-Time Migration using the Poynting Vector
  
  Authors Kwangjin Yoon and Kurt J. Marfurt
- SkyTEM–a New High-resolution Helicopter Transient Electromagnetic System
  
  Authors K. I. Sorensen and Esben Auken
- An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data
  
  Authors Esben Auken, Anders Vest Christiansen, Casper Kirkegaard, Gianluca Fiandaca, Cyril Schamper, Ahmad Ali Behroozmand, Andrew Binley, Emil Nielsen, Flemming Effersø, Niels Bøie Christensen, Kurt Sørensen, Nikolaj Foged and Giulio Vignoli
- The Fast Marching Method: An Effective Tool for Tomographic Imaging and Tracking Multiple Phases in Complex Layered Media
  
  Authors Nicholas Rawlinson and Malcolm Sambridge
- 3-D Analytic Signal in the Interpretation of Total Magnetic Field Data at Low Magnetic Latitudes
  
  Authors Ian N. MacLeod, Keith Jones and Ting Fan Dai
- CMP cross-correlation analysis of multi-channel surface-wave data
  
  Authors Koichi Hayashi and Haruhiko Suzuki
- A new direct non-invasive groundwater detection technology for Australia
  
  Authors M. Schirov, A. Legchenko and G. Creer
- 3D inversion of airborne electromagnetic data using a moving footprint
  
  Authors Leif H. Cox, Glenn A. Wilson and Michael S. Zhdanov
- Notes On Rock Magnetization Characteristics In Applied Geophysical Studies
  
  Authors D. A. Clark and J. B. Emerson
More Less

Diffraction Tomography Applied to Crosshole and VSP Seismic Data

Abstract

Most Read This Month

Most Cited This Month Most Cited RSS feed