Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model

GEOPHYSICS

Volumn 64, Issue 3, 2021, Pages 888-901

  Pratt, R Gerhard ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BACKPROPAGATION; DIFFRACTION; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SCATTERING; WAVEFORM ANALYSIS;

RAY ASYMPTOTICS; SEISMIC WAVEFORM INVERSION;

SEISMIC WAVES;

DATA INVERSION; DATA PROCESSING; SEISMIC DATA; WAVEFORM ANALYSIS;

EID: 85000259359     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444597     Document Type: Article

References (43)

1. Berkhout, A. J., 1982, Seismic migration: Imaging of acoustic energy by wavefield extrapolation A: Theoretical aspects, 2nd Ed.: Elsevier Science Publ. Co., Inc.
2. Chavent, G., and Jacewitz, C. A., 1995. Determination of background velocities by multiple migration fitting: Geophysics, 60, 476-490.
3. Gauthier, O., Virieux, J., and Tarantola, A., 1986, Two-dimensional non-linear inversion of seismic waveforms: Numerical results: Geophysics, 51, 1387-1403.
4. Geller, R. J., and Hara, T., 1993, Two efficient algorithms for iterative linearized inversion of seismic waveform data: Geophys. J. Internat., 115, 699-710.
5. Jo, C. H., Shin, C. S., and Suh, J. H., 1996, Design of an optimal 9 point finite difference frequency-space acoustic wave equation scheme for inversion and modeling: Geophysics, 61, 529-537.
6. Kolb, P., Collino, F., and Lailly, P., 1986, Pre-stack inversion of a 1-D medium: Proc. IEEE, 74, 498-508.
7. Lailly, P., 1983, The seismic inverse problem as a sequence of before stack migrations, in Bednar, J. B., Redner, R., Robinson, E., and Weglein, A., Eds., Conference on Inverse Scattering: Theory and Application, Soc. Industr. Appl. Math.,
8. Leggett, M., Goulty, N. R., and Kragh, J. E., 1993, Study of traveltime and amplitude time-lapse tomography using physical model data: Geophys. Prosp., 41, no. 5, 599-620.
9. Liu, J. W., and George, A., 1981, Computer solution of large sparse positive definite systems: Prentice-Hall, Inc.
10. Marfurt, K. J., 1984, Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave-equations: Geophysics, 49, 533-549.
11. Marfurt, K. J., and Shin, C. S., 1989, The future of iterative modeling of geophysical exploration, in Eisner, E., Ed., Supercomputers in seismic exploration: Pergamon Press, 203-228.
12. Mora, P. R., 1987, Nonlinear two-dimensional elastic inversion of multioffset seismic data: Geophysics, 52, 1211-1228.
13. Morse, P. M., and Feschbach, H., 1953, Methods of theoretical physics: McGraw-Hill.
14. Oristaglio, M. L., and Worthington, M. H., 1980, Inversion of surface and borehole electromagnetic data for two-dimensional electrical conductivity models: Geophys. Prosp., 28, no. 4, 633-657.
15. Pratt, R. G., 1990a, Frequency-domain elastic wave modeling by finite differences: A tool for crosshole seismic imaging (short note): Geophysics, 55, 626-632.
16. _1990b, Inverse theory applied to multi-source cross-hole tomography II: Elastic wave-equation method: Geophys. Prosp., 38, 311-330.
17. Pratt, R. G., and Shipp, R. M., 1999, Seismic waveform inversion in the frequency domain II - Fault delineation in sediments using crosshole data: Geophysics, 64, 901-913.
18. Pratt, R. G., and Goulty, N. R., 1991, Combining wave-equation imaging with traveltime tomography to form high-resolution images from crosshole data: Geophysics, 56, 208-224.
19. Pratt, R. G., Li Quan, Dyer, B. C., Goulty, N. R., and Worthington, M. H., 1991, Algorithms for EOR imaging: An experiment with scale model data: Geoexploration, 28, 193-220.
20. Pratt, R. G., McGaughey, W. G., and Chapman, C. H., 1993, Anisotropic velocity tomography: A case study in a near-surface rock mass: Geophysics, 58, 1748-1763.
21. Pratt, R. G., Shin, C. S., and Hicks, G. J., 1998, Gauss-Newton and full Newton methods in frequency-space seismic waveform inversion: Geophys. J. Internat., 133, 341-362.
22. Pratt, R. G., Shipp, R. M., Song, Z. M., and Williamson, P. R., 1995, Fault delineation by wavefield inversion of cross-borehole seismic data: 57th Mtg., Eur. Assoc. Expl. Geophys., Extended Abstracts 95.
23. Pratt, R. G., and Worthington, M. H., 1988, The application of diffraction tomography to cross-hole seismic data: Geophysics, 53, 1284-1294.
24. _1990, Inverse theory applied to multi-source cross-hole tomography I: Acoustic wave-equation method: Geophys. Prosp., 38, 287-310.
25. Press, W. H., Teukolsky, S. A., Vettering, W. T., and Flannery, B. P., 1992, Numerical recipes in Fortran: The art of scientific computing, 2nd Ed.: Cambridge Univ. Press.
26. Rector, J. W., Harris, J. M., Lazaratos, S. K., and Van Schaack, M., 1995, High-resolution crosswell imaging of a West Texas carbonate reservoir 3 - Wavefield separation of reflections: Geophysics, 60, 692-701.
27. Reiter, D. L., and Rodi, W., 1996, Nonlinear waveform tomography applied to cross-hole seismic data: Geophysics, 61, 902-913.
28. Rodi, W. L., 1976, A technique for improving the accuracy of finite element solutions for magnetotellunc data: Geophys. J. Roy. Astr. Soc., 44, 483-506.
29. Rowbotham, P. S., and Goulty, N. R., 1995, Quantitative evaluation of crosshole seismic reflection images using physical model data: Geophys. Prosp., 43, no. 4, 529-540.
30. Sharp, R. J., Peacock, J. H., and Goulty, N. R., 1985, Ultrasonic modelling system: Presented at the 47th Mtg., Eur. Assoc. Expl. Geophys.,
31. Shin, C. S., 1988, Nonlinear elastic wave inversion by blocky parameterization: Ph.D. thesis, Univ. of Tulsa.
32. Song, Z.-M., and Williamson, P. R., 1995, Frequency-domain acousticwave modeling and inversion of crosshole data I - 2.5-D modeling method: Geophysics, 60, 784-795.
33. Song, Z.-M., Williamson, P. R., and Pratt, R. G., 1995, Frequency-domain acoustic-wave modeling and inversion of crosshole data II -Inversion method, synthetic experiments and real-data results: Geophysics, 60, 796-809.
34. Štekl, I., and Pratt, R. G., 1998, Accurate visco-elastic modeling by frequency-domain finite differences using rotated operators: Geophysics, 63, 1779-1794.
35. Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49, 1259-1266.
36. _1986, A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics, 51, 1893-1903.
37. _1987, Inverse problem theory: Methods for data fitting and parameter estimation: Elsevier Science Publ. Co., Inc.
38. Van Schaack, M., Harris, J. M., Rector, J. W., and Lazaratos, S. K., 1995, High-resolution crosswell imaging of a West Texas carbonate reservoir 2 - Wavefield modeling and analysis: Geophysics, 60, 682-691.
39. Williamson, P. R., 1991, A guide to the limits of resolution imposed by scattering in ray tomography: Geophysics, 56, 202-207.
40. Williamson, P. R., and Worthington, M. H., 1993, Resolution limits in ray tomography due to wave behavior: Numerical experiments: Geophysics, 58, 727-735.
41. Wu, R. S., and Töksoz, M. N., 1987, Diffraction tomography and multisource holography applied to seismic imaging: Geophysics, 52, 11-25.
42. Zhou, C., Cai, W., Luo, Y., Schuster, G. T., and Hassanzadeh, S., 1995, Acoustic wave-equation traveltime and waveform inversion of crosshole seismic data: Geophysics, 60, 765-773.
43. Zhou, C., Schuster, G. T., Hassanzadeh, S., and Harris, J. M., 1997, Elastic wave equation traveltime and waveform inversion of crosswell data: Geophysics, 62, 853-869.