3D Lomax rays and its application for acoustic wavefield simulation in complex media
https://doi.org/10.18303/2619-1563-2023-2-56
Abstract
We present a simple and robust approach for calculating frequency-dependent rays in three dimensional media. The proposed method simulates propagation of locally plane fragment of a wavefront. Ray properties depends on velocity distribution in some sub-volume around the ray and on wavelength in each point. Numerical experiment demonstrates the applicability of the proposed method to calculate travel-times and ray-based acoustic wavefields in complex 3D environments with the presence of slat intrusion.
Supporting agencies: The reported study was funded by RFBR and GACR, project No. 20-55-26003.
About the Authors
D. A. Neklyudov
http://www.ipgg.sbras.ru/ru/institute/staff/neklyudovda
Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
Koptyug Ave., 3, Novosibirsk, 630090
Russian Federation
Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
Koptyug Ave., 3, Novosibirsk, 630090
Russian Federation
M. I. Protasov
http://www.ipgg.sbras.ru/ru/institute/staff/protasovmi
Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
Koptyug Ave., 3, Novosibirsk, 630090
Russian Federation
Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
Koptyug Ave., 3, Novosibirsk, 630090
Russian Federation
References
1. Aminzadeh F., Burkhard N., Long J., Kunz T., Duclos P. Three-dimensional SEG/EAGE models – An Update // The Leading Edge. – 1996. – Vol. 15 (2). – P. 131–134, doi: 10.1190/1.1437283.
2. Babich V.M., Buldyrev V.S. Asymptotical methods in problems of short-wavelength diffraction [in Russian]. – Nauka, Moscow, 1972.
3. Belonosov M., Dmitriev M., Kostin V., Neklyudov D., Tcheverda V. An iterative solver for the 3D Helmholtz equation // Journal of Computational Physics. – 2017. – Vol. 345. – P. 330–344, doi: 10.1016/j.jcp.2017.05.026.
4. Ben-Menahem A., Beydoun W.B. Range of validity of seismic ray and beam methods in general inhomogeneous media – I. General theory // Geophysical Journal International. – 1985. – Vol. 82 (2). – P. 207–234, doi: 10.1111/j.1365-246X.1985.tb05135.x.
5. Bube K.P., Washbourne J.K. Wave tracing: Ray tracing for the propagation of band-limited signals: Part 1 – Theory // Geophysics. – 2008. – Vol. 73 (5). – P. VE377–VE384, doi: 10.1190/1.2963514.
6. Bulant P., Klimeš L. Interpolation of ray theory traveltimes within ray cells // Geophysical Journal International. – 1999. – Vol. 139 (2). – P. 273–282, doi: 10.1046/j.1365-246x.1999.00919.x.
7. Červeny V. Seismic ray theory. – Cambridge University Press, 2001.
8. Červeny V., Soares J.E.P. Fresnel volume ray tracing // Geophysics. – 1992. – Vol. 57 (7). – P. 902–915, doi: 10.1190/1.1443303.
9. Červeny V., Molotkov I.A., Psencik I. Ray theory in seismology. – Charles University Press, 1977.
10. Dahlen F.A., Hung S.-H., Nolet G. Fréchet kernels for finite-frequency traveltimes – I. Theory // Geophysical Journal International. – 2000. – Vol. 141 (1). – P. 157–174, doi: 10.1046/j.1365-246X.2000.00070.x.
11. Gadylshin K., Protasov M. Construction of exact frequency-dependent rays with the known solution of the Helmholtz equation // Computational Methods and Programming: New Computational Technologies. – 2015. – Vol. 4. – P. 586–594.
12. Kravtsov Y.A., Orlov Y.I. Geometrical optics of inhomogeneous media [in Russian]. – Nauka, Moscow, 1980.
13. Lomax A. The wavelength-smoothing method for approximating broad-band wave propagation through complicated velocity structures // Geophysical Journal International. – 1994. – Vol. 117 (2). – P. 313–334, doi: 10.1111/j.1365-246X.1994.tb03935.x.
14. Lucio P.S., Lambaré G., Hanyga A. 3D multivalued travel time and amplitude maps // Pure and Applied Geophysics. – 1996. – Vol. 148. – P. 449–479, doi: 10.1007/BF00874575.
15. Marquering H., Dahlen F.A., Nolet G. Three-dimensional sensitivity kernels for finite-frequency traveltimes: the banana-doughnut paradox // Geophysical Journal International. – 1999. – Vol. 137 (3). – P. 805–815, doi: 10.1046/j.1365-246x.1999.00837.x.
16. Neklyudov D.A., Protasov M.I. Simulation of traveltimes and acoustic wave fields by the ray method with approximation of the propagation of a broadband signal as applied to seismic problems // Russian Journal of Geophysical technologies. – 2021. – Vol. 3. – P. 4–17, doi: 10.18303/10.18303/2619-1563-2021-3-4.
17. Protasov M., Gadylshin K. Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation // Geophysical Journal International. – 2017. – Vol. 210 (1). – P. 525–533, doi: 10.1093/gji/ggx188.
18. Vasco D.W., Nihei K. Broad-band trajectory mechanics // Geophysical Journal International. – 2019. – Vol. 216 (2), 745–759, doi: 10.1093/gji/ggy435.
19. Vasco D.W., Peterson J. E., Majer E.L. Beyond ray tomography: Wavepaths and Fresnel volumes // Geophysics. – 1995. – Vol. 60 (6). – P. 1790–1804, doi: 10.1190/1.1443912.
20. Yarman C.E., Cheng X., Osypov K., Nichols D., Protasov M. Band-limited ray tracing // Geophysical Prospecting. – 2013. – Vol. 61 (6). – P. 1194–1205, doi: 10.1111/1365-2478.12055.
Review
For citations:
Neklyudov D.A., Protasov M.I. 3D Lomax rays and its application for acoustic wavefield simulation in complex media. Russian Journal of Geophysical Technologies. 2023;(2):56-71. (In Russ.) https://doi.org/10.18303/2619-1563-2023-2-56
Views:
246
Email this article 