Robust incident-angle field estimation: a one-way wave propagator approach
Jiangjie Zhang 1 2 Hui Zhang 11 Institute of Geology and Geophysics, Key Laboratory of Petroleum Resources Research, Chinese Academy of Sciences, Beijing 100029, China.
2 Corresponding author. Email: zhangjj@mail.igcas.ac.cn
Exploration Geophysics 44(4) 245-250 https://doi.org/10.1071/EG13002
Submitted: 15 January 2013 Accepted: 17 July 2013 Published: 15 August 2013
Abstract
The incident angle is a very important piece of information in many processing steps for seismic data, but it cannot be easily and directly estimated in many typical and familiar migration processes, such as shot-profile wave equation migration and reverse time migration. In this paper, we first revisit and analyse some popular schemes of estimating the incident-angle field. Then we present a robust method to estimate the incident-angle field in a 2D/3D heterogeneous isotropic media based on a one-way wave propagator. Unlike the band-limited wavefield, the incident-angle field is estimated by the division of two impulse responses of the monochromatic wavefield in order to reduce computation. The impulse responses are the derivative of the angle-weighted image extracted by multiplying an extra imaging weight in the conventional migration process and conventional image. The tilted coordinate system is adopted in our method to avoid the steep-angle limitation of one-way wave propagators. By comparison with other methods, our method can estimate the incident-angle field more accurately with higher efficiency and less memory cost. Computed incident-angle fields of a 2D layered model and 3D field data example demonstrate the generality and flexibility of the method.
Key words: incident angle, one-way wave extrapolation, ray tracing, seismic wave propagation.
References
Aki, K., and Richards, P. G., 1980, Quantitative seismology: theory and methods: W. H. Freeman Co.Bleinstein, N., Cohen, J. K., and Stockwell, J. W., 2001, Mathematics of multidimensional seismic inversion: Springer.
Claerbout, J., 1971, Toward a unified theory of reflector mapping: Geophysics, 36, 467–481
| Toward a unified theory of reflector mapping:Crossref | GoogleScholarGoogle Scholar |
de Bruin, C., Wapenaar, C., and Berkout, A., 1990, Angle dependent reflectivity by means of prestack migration: Geophysics, 55, 1223–1234
| Angle dependent reflectivity by means of prestack migration:Crossref | GoogleScholarGoogle Scholar |
de Hoop, M. V., Le Rousseau, J. H., and Wu, R. S., 2000, Generalization of the phase-screen approximation for the scattering of acoustic waves: Wave Motion, 31, 43–70
| Generalization of the phase-screen approximation for the scattering of acoustic waves:Crossref | GoogleScholarGoogle Scholar |
Gazdag, J., 1978, Wave equation migration with the phase-shift method: Geophysics, 43, 1342–1351
| Wave equation migration with the phase-shift method:Crossref | GoogleScholarGoogle Scholar |
Lecomte, I., 2008, Resolution and illumination analyses in PSDM: a ray-based approach: The Leading Edge, 27, 650–663
| Resolution and illumination analyses in PSDM: a ray-based approach:Crossref | GoogleScholarGoogle Scholar |
Liu, L. N., and Zhang, J. F., 2006, 3D wavefield extrapolation with optimum split-step Fourier method: Geophysics, 71, T95–T108
| 3D wavefield extrapolation with optimum split-step Fourier method:Crossref | GoogleScholarGoogle Scholar |
Muerdter, D., and Ratcliff, D., 2001, Understanding subsalt illumination through ray-tracing modeling, Part 3: salt ridges and furrows, and the impact of acquisition orientation: The Leading Edge, 20, 803–816
| Understanding subsalt illumination through ray-tracing modeling, Part 3: salt ridges and furrows, and the impact of acquisition orientation:Crossref | GoogleScholarGoogle Scholar |
Ristow, D., and Ruhl, T., 1994, Fourier finite-difference migration: Geophysics, 59, 1882–1893
| Fourier finite-difference migration:Crossref | GoogleScholarGoogle Scholar |
Sava, P. C., and Fomel, S., 2003, Angle-domain common-image gathers by wavefield continuation methods: Geophysics, 68, 1065–1074
| Angle-domain common-image gathers by wavefield continuation methods:Crossref | GoogleScholarGoogle Scholar |
Sava, P. C., and Fomel, S., 2005, Coordinate-independence angle-gathers for wave equation migration: 75th Annual International Meeting, SEG, Expanded Abstracts, 2052–2057.
Shan, G. J., and Biondi, B., 2004, Imaging overturned waves by plane-wave migration in tilted coordinates: 74th Annual International Meeting, SEG, Expanded Abstracts, 969–972.
Shan, G. J., Clapp, R., and Biondi, B., 2007, 3D plane-wave migration in tilted coordinates: 77th Annual International Meeting, SEG, Expanded Abstracts, 2190–2194.
Shuey, R. T., 1985, A simplification of the Zoeppritz equations: Geophysics, 50, 609–614
| A simplification of the Zoeppritz equations:Crossref | GoogleScholarGoogle Scholar |
Stoffa, P. L., Fokkema, J. T., De Luna Freire, R. M., and Kessinger, W. P., 1990, Split-step Fourier migration: Geophysics, 55, 410–421
| Split-step Fourier migration:Crossref | GoogleScholarGoogle Scholar |
Sun, W. J., Fu, L. Y., and Zhou, B. Z., 2012, Common-angle image gathers for shot-domain migration: an efficient and stable strategy: Exploration Geophysics, 43, 1–7
| Common-angle image gathers for shot-domain migration: an efficient and stable strategy:Crossref | GoogleScholarGoogle Scholar |
van Vliet, L. J., and Verbeek, P. W., 1995, Estimators for orientation and anisotropy in digitized images: Proceedings of the first Conference of the Advanced School for Computing and Imaging, Heijen (The Netherlands), 442–450.
Xie, X. B., and Wu, R. S., 1998, Improving the wide angle accuracy of screen method under large contrast: 68th Annual International Meeting, SEG, Expanded Abstracts, 1811–1814.
Xie, X. B., and Wu, R. S., 2002, Extracting angle domain information from migrated wavefields: 72nd Annual International Meeting, SEG, Expanded Abstracts, 1360–1363.