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Automatic User Testing and Emotion Detection in Interactive Urban Devices Read chapter Read first chapter

2023 | OriginalPaper | Chapter

“Fat” Rays in Three Dimensional Media to Approximate a Broadband Signal Propagation

Authors : Dmitry Neklyudov, Maxim Protasov

Published in: Computational Science and Its Applications – ICCSA 2023

Publisher: Springer Nature Switzerland

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Abstract

The paper presents a simple and robust approach for calculating frequency-dependent rays in three-dimensional media. The proposed ray tracing procedure simulates propagation of locally plane fragment of a wave front. Ray properties depend on velocity distribution in some sub-volume around the ray and on wavelength at each point. We provide a numerical comparison of “fat” rays approach with the “exact” Helmholtz solver using complex 3D SEG salt model. This comparison show promise of using the concept of “fat” rays in 3D seismic data processing, i.e. comparison show that “fat” rays approach needs up to several orders less resources than Helmholtz solver, while the error between “fat” rays wave filed and “exact” solution does not exceed several percent.

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previous chapter Seismic Inversion for Fracture Model Reconstruction: From 1D Inversion to Machine Learning
next chapter Visualization, Analysis and Collaborative Discussion of Severe Weather Events
Literature
1.
Babich, V.M., Buldyrev, V.S.: Asymptotic Methods in Short-Wavelength Diffraction Theory. Alpha Science (2009)
2.
3.
Kravtsov, Y.A., Orlov, Y.I.: Geometrical Optics of Inhomogeneous Media. Springer, Heidelberg (1990)
4.
Ben-Menahem, A., Beydoun, W.B.: Range of validity of seismic ray and beam methods in general inhomogeneous media –I. General theory. Geophys. J. Int. 82, 207–234 (1985)CrossRefMATH
5.
Marquering, H., Dahlen, F.A., Nolet, G.: Three-dimensional sensitivity kernels for finite-frequency traveltimes: the banana-doughnut paradox. Geophys. J. Int. 137, 805–815 (1999)CrossRef
6.
Dahlen, F.A., Hung, S.-H., Nolet, G.: Fréchet kernels for finite-frequency traveltimes—I. Theory. Geophys. J. Int. 141, 157–174 (2000)
7.
Cerveny, V., Soares, J.E.P.: Fresnel volume ray tracing. Geophysics 57, 902–915 (1992)CrossRef
8.
Lomax, A.: The wavelength-smoothing method for approximating broad-band wave propagation through complicated velocity structures. Geophys. J. Int. 117, 313–334 (1994)CrossRef
9.
Vasco, D.W., Peterson, J.E., Majer, E.L.: Beyond ray tomography: wavepaths and Fresnel volumes. Geophysics 60, 1790–1804 (1995)CrossRef
10.
Bube, K.P., Washbourne, J.K.: Wave tracing: ray tracing for the propagation of band-limited signals: part 1 – theory. Geophysics 73, VE377–VE384 (2008)
11.
Yarman, C.E., Cheng, X., Osypov, K., Nichols, D., Protasov, M.: Band-limited ray tracing. Geophys. Prospect. 61, 1194–1205 (2013)CrossRef
12.
Vasco, D.W., Nihei, K.: Broad-band trajectory mechanics. Geophys. J. Int. 216, 745–759 (2019)
13.
Foreman, T.L.: An exact ray theoretical formulation of the Helmholtz equation. J. Acoust. Soc. Am. 86, 234–246 (1989)CrossRef
14.
Protasov, M., Gadylshin, K.: Computational method for exact frequency-dependent rays on the basis of the solution of the Helmholtz equation. Geophys. J. Int. 210, 525–533 (2017)CrossRef
15.
Neklyudov, D., Protasov, M.: Acoustic wavefields simulation by the ray method with approximation of a broadband signal propagation. In: Gervasi, O., Murgante, B., Hendrix, E.M.T., Taniar, D., Apduhan, B.O. (eds.) ICCSA 2022. LNCS, vol. 13376, pp. 84–96. Springer, Cham (2022). https://​doi.​org/​10.​1007/​978-3-031-10450-3_​7
16.
Jordi, C., Schmelzbach, C., Greenhalgh, S.: Frequency-dependent traveltime tomography using fat rays: application to near-surface seismic imaging. J. Appl. Geophys. 131, 202–213 (2016)CrossRef
17.
Bulant, P., Klimeš, L.: Interpolation of ray theory traveltimes within ray cells. Geophys. J. Int. 139(2), 273–282 (1999)CrossRef
18.
Lucio, P.S., Lambaré, G., Hanyga, A.: 3D multivalued travel time and amplitude maps. PAGEOPH 148, 449–479 (1996)CrossRef
19.
Aminzadeh, F., Burkhard, N., Long, J., Kunz, T., Duclos, P.: Three dimensional SEG/EAGE models - an update. Lead. Edge 15(2), 131–134 (1996)CrossRef
20.
Belonosov, M., Dmitriev, M., Kostin, V., Neklyudov, D., Tcheverda, V.: An iterative solver for the 3D Helmholtz equation. J. Comput. Phys. 345, 330–344 (2017)MathSciNetCrossRefMATH
Metadata
Title
“Fat” Rays in Three Dimensional Media to Approximate a Broadband Signal Propagation
Authors
Dmitry Neklyudov
Maxim Protasov
Copyright Year
2023
Book
Computational Science and Its Applications – ICCSA 2023

Print ISBN: 978-3-031-36807-3

Electronic ISBN: 978-3-031-36808-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-36808-0_8

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