Skip to main content Accessibility help
×
  • Cited by 59
Publisher:
Cambridge University Press
Online publication date:
February 2012
Print publication year:
2012
Online ISBN:
9781139056250

Book description

Extracting information from seismic data requires knowledge of seismic wave propagation and reflection. The commonly used method involves solving linearly for a reflectivity at every point within the Earth, but this book follows an alternative approach which invokes inverse scattering theory. By developing the theory of seismic imaging from basic principles, the authors relate the different models of seismic propagation, reflection and imaging - thus providing links to reflectivity-based imaging on the one hand and to nonlinear seismic inversion on the other. The comprehensive and physically complete linear imaging foundation developed presents new results at the leading edge of seismic processing for target location and identification. This book serves as a fundamental guide to seismic imaging principles and algorithms and their foundation in inverse scattering theory, and is a valuable resource for working geoscientists, scientific programmers and theoretical physicists.

Reviews

'… suitable for use as a textbook for a graduate-level geophysics course …'

Michael McCormack Source: The Leading Edge

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
×

Contents

References
References
Aki, K. and Richards, P. (1980). Quantitative Seismology Volume 1: Theory and Methods. San Francisco: W.H. Freeman. (S 5.2.3, 8.4.1, 8.4.2, 8.4.3, 8.4.4, 8.7)
Alkhalifah, T. and Bagaini, C. (2006). Straight-rays redatuming: A fast and robust alternative to wave-equation-based redatuming. Geophysics, 71, 37–46. (S 12.3)
Aveni, G. and Biondi, B. (2010). Target-oriented joint least-squares migration/inversion of time-lapse seismic data sets. Geophysics, 75, 61–73. (S 14.1)
Baysal, E., Kosloff, D. and Sherwood, J. (1983). Reverse time migration. Geophysics, 48, 1514–24. (S 2.4)
Berkhout, A. (1981). Wave field extrapolation techniques in seismic migration, a tutorial. Geophysics, 46, 1638–56. (S 2.3)
Berkhout, A. (1982). Seismic Migration: Imaging of Acoustic Energy by Wave Field Extrapolation, Part A: Theoretical Aspects. Amsterdam: Elsevier. (S 1.5)
Berkhout, A. (1984). Seismic Resolution, a Quantitative Analysis of Resolving Power of Acoustical Echo Techniques. Amsterdam: Geophysical Press. (S 4.2)
Beydoun, W. and Keho, T. (1987). The paraxial ray method. Geophysics 52, 1639–53. (S 6.2.3)
Beylkin, G. (1985). Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized radon transform. J. Math. Phys., 26, 99–108. (S 2.7.1, 10.4.4)
Bisset, D. and Durrani, T. (1990). Radon transform migration below plane sloping layers. Geophysics, 55, 277–83. (S 2.7.1, 10.4.4)
Black, J., Schleicher, K. and Zhang, L. (1993). True-amplitude imaging and dip moveout. Geophysics, 58, 47–66. (S 1.10, 4.3. 10.2)
Bleistein, N. (1984). Mathematical Methods for Wave Phenomena. London: Academic Press. (S 2.6.1)
Bleistein, N. (1987). On the imaging of reflectors in the earth. Geophysics, 52, 931–42. (S 8.2)
Bleistein, N. and Handelsman, R. (1986). Asymptotic Expansions of Integrals. Mineola: Dover. (S F)
Bleistein, N., Cohen, J. and Hagin, F. (1985). Two and one-half dimensional Born inversion with an arbitrary reference. Geophysics, 52, 26–36. (S 5.4.2)
Bleistein, N., Cohen, J. and Jaramillo, H. (1999). True-amplitude transformation to zero offset of data from curved reflectors. Geophysics, 64, 112–29. (S 10.2)
Bleistein, N., Cohen, J. and Stockwell, J. (2001). Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion.New York: Springer Verlag. (S 2.2.1, 11.2, Appendix E, F)
Born, M. and Wolf, E. (1980). Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 6th Edn. Oxford: Pergamon Press. (S 2.2.2, 2.2.6)
Cerveny, V. (2001). Seismic Ray Theory. Cambridge: Cambridge University Press. (S 6.2.3)
Chapman, C. (1978). A new method for computing synthetic seismograms. Geophys. J. R. Astr. Soc., 54, 481–518. (S 2.6.1)
Chapman, C. and Coates, R. (1994). Generalized Born scattering in anisotropic media. Wave Motion, 19, 309–41. (S 5.2.3)
Claerbout, J. (1971). Toward a unified theory of reflector mapping. Geophysics, 36, 467–81. (S 1.5, 2.3)
Claerbout, J. (1976). Fundamentals of Geophysical Data Processing: With Applications to Petroleum Prospecting. New York: McGraw-Hill. (S 1.5, 2.3, 2.5, 3.1, 10.2, Appendix E)
Clayton, R. and Stolt, R. (1981). A Born–WKBJ inversion method for acoustic reflection data. Geophysics, 46, 1559–67. (S 2.6.1, 3.2, 5.4.2)
Cohen, J. and Bleistein, N. (1977). An inverse method for determining small variations in propagation speed. SIAM J. Appl. Math., 32, 784–99. (S 5.4.2)
Cohen, J., Hagin, F. and Bleistein, N. (1986). Three-dimensional Born inversion with an arbitrary reference. Geophysics, 51, 1552–8. (S 5.4.2)
de Hoop, M. and Bleistein, N. (1997). Generalized Radon transform inversions for reflectivity in anisotropic elastic media. Inverse Problems, 13, 669–90. (S 5.2.3)
Dix, C. (1955). Seismic velocities from surface measurements. Geophysics, 20, 68–86. (S 2.8.1)
Fomel, S. (2003). Velocity continuation and the anatomy of residual prestack time migration. Geophysics, 68, 1650–61. (S 1.7, 10.3, 12.1)
Gazdag, J. (1978). Wave equation migration with the phase-shift method. Geophysics, 43, 1342–51. (S 2.6.1)
Gazdag, J. and Sguazzero, P. (1984). Migration of seismic data by phase shift plus interpolation. Geophysics, 49, 124–31. (S 2.6.1)
Jackson, J. (1962). Classical Electrodynamics. New York: McGraw-Hill. (S 2.2.2, 2.3.3)
Keller, J. (1953). The geometrical theory of diffraction. Proc. Symp. Microwave Opt., Eaton Electronics Research Laboratory. McGill University:, Montreal. (S 2.2.6, Appendix G)
Keller, J. (1978). Rays, waves, and asymptotics. Bull. Am.Math. Soc., 84, 727–50. (S 2.2.6, Appendix G)
Lambar, G., Operto, S., Podvin, P. and Thierry, P. (2003). 3D ray + Born migration/inversion. Part 1: Theory. Geophysics, 68, 1348–56. (S. 11.2, 14.1)
Levin, S. (1980). A frequency-dip formulation of wave-theoretic migration in stratified media. In Wang, K. Y., ed. Acoustical Imaging: Visualisation and Characterisation Volume 9, 681–97. New York: Plenum. (S 10.4.4)
Liu, Z. and Bleistein, N. (1995). Migration velocity analysis: Theory and an iterative algorithm. Geophysics, 60, 142–53. (S 1.7)
Marfurt, K. (1978). Elastic Wave Equation Migration-Inversion. Unpublished Ph.D thesis, Columbia University, New York. (S 5.2.3)
Newton, R. (1966). Scattering Theory of Waves and Particles. New York: McGraw-Hill. (S 5.4.2, Appendix F)
Operto, M., Xu, S. and Lambar, G. (2000). Can we quantitatively image complex structures with rays? Geophysics, 65, 1223–38. (S 14.1, 14.4.3)
Ottolini, R. and Claerbout, J. (1984). The migration of common midpoint slant stacks. Geophysics, 49, 237–49. (S 2.7.1, 10.4.4)
Ramirez, A. and Weglein, A. (2009). Green's theorem as a comprehensive framework for data reconstruction, regularization, wavefield separation, seismic interferometry, and wavelet estimation: A tutorial. Geophysics, 74, 35–62. (S 12.3)
Raz, S. (1981). Three-dimensional velocity profile inversion from finite-offset scattering data. Geophysics, 46, 837–42. (S 5.4.2)
Ronen, S. and Liner, C. (2000). Least-squares DMO and migration. Geophysics, 65, 1364–71. (S 14.1)
Rothman, D., Levin, A. and Rocca, F. (1985). Residual migration: Applications and limitations. Geophysics, 50, 110–26. (S 10.3, 12.1)
Sava, P. (2003). Prestack residual migration in the frequency domain. Geophysics, 68, 634–40. (S 10.2, 10.3, 12.1)
Sava, P., Biondi, B. and Elgen, J. (2005). Wave equation migration velocity analysis by focussing diffractions and reflections. Geophysics, 70, 19–27. (S 1.7)
Schleicher, J., Tygel, M. and Hubral, P. (1993). 3-D true-amplitude finite-offset migration. Geophysics, 58, 1112–26. (S 11.2)
Schleicher, J., Tygel, M. and Hubral, P. (2007). Seismic True-Amplitude Imaging. Tulsa: Society of Exploration Geophysicists. (S 1.10, 2.2.1, 5.2.3, 6.2.3, 10.2, 11.2, 12.1, 12.3)
Schneider, W. (1978). Integral formulation for migration in two and three dimensions. Geophysics, 43, 49–76. (S 2.2.1, 11.2)
Schultz, P. and Sherwood, J. (1980). Depth migration before stack. Geophysics, 45, 376–93. (S 1.6)
Shuey, R. (1985). A simplification of the Zoeppritz equations. Geophysics, 50, 609–14. (S 10.1.1)
Stolt, R. (1978). Migration by Fourier transform. Geophysics, 43, 23–48. (S 2.6.2, 2.8.2)
Stolt, R. (2002). Seismic data mapping and reconstruction. Geophysics, 67, 890–908. (S 12.3)
Stolt, R. and Benson, A. (1986). Seismic Migration: Theory and Practice. Amsterdam: Geophysical Press. (S 1.5, 1.6, 8.2, 10.2, 10.3)
Stolt, R. and Weglein, A. (1985). Migration and inversion of seismic data. Geophysics, 50, 2458–72. (S 5.4.2, 8.2)
Tang, Y. (2009). Target-oriented wave-equation least-squares migration/inversion with phase-encoded Hessian. Geophysics, 74, 95–107. (S 14.1)
Taylor, J. (1972). Scattering Theory: The Quantum Theory of Nonrelativistic Collisions. New York: John Wiley and Sons. (S 5.4.2)
Tygel, M., Schleicher, J. and Hubral, P. (1994). Pulse distortion in depth migration. Geophysics, 59, 1561–69. (S 4.2.2)
Tygel, M., Schleicher, J. and Hubral, P. (1998). 2.5-D true-amplitude Kirchhoff migration to zero offset in laterally inhomogeneous media. Geophysics, 63, 557–73. (S 10.2)
Weglein, A., Stolt, R. and Mayhan, J. (2011a) Reverse time migration and Green's theorem. Part I: The evolution of concepts and setting the stage for the new RTM method. J. Seism. Explor., 20(in press). (S 2.4)
Weglein, A., Stolt, R. and Mayhan, J. (2011b) Reverse time migration and Green's theorem. Part II: A new and consistent theory that progresses and corrects current RTM concepts and methods. J. Seism. Explor., 20, (in press). (S 2.4)
Whitmore, D. (1983). Iterative depth migration by backward time propagation. 53rd Annual International Meeting, SEG Expanded Abstracts, 382–85. (S 2.4)
Yilmaz, O. (2001). Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data. Tulsa: SEG Investigations in Geophysics. (S 1.7)
Zhang, Y. and Zhang, G. (2009). One-step extrapolation method for reverse time migration. Geophysics, 74, A29–A33. (S 2.4)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.