About: On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution

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About: On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The exact analytical solution of the complex eikonal equation describing P- and S-waves radiated by a point source situated in a simple type of isotropic viscoelastic medium was ascertained. The velocity-attenuation model is smoothly inhomogeneous with a constant gradient of the square of the complex slowness. The resultant traveltime is complex; its real part describes the wave propagation and its imaginary part describes the attenuation effects. The solution was further used as a reference solution for numerical tests of the accuracy and robustness of two approximate ray-tracing approaches solving the complex eikonal equation: real elastic ray tracing and real viscoelastic ray tracing. Numerical modeling revealed that the real viscoelastic ray tracing method is unequivocally preferable to elastic ray tracing. It is more accurate and works even in situations when the elastic ray tracing fails. Also, the ray fields calculated by the real viscoelastic ray tracing are excellently reproduced even in the case when the elastic ray tracing yields completely distorted results. The exact analytical solution of the complex eikonal equation describing P- and S-waves radiated by a point source situated in a simple type of isotropic viscoelastic medium was ascertained. The velocity-attenuation model is smoothly inhomogeneous with a constant gradient of the square of the complex slowness. The resultant traveltime is complex; its real part describes the wave propagation and its imaginary part describes the attenuation effects. The solution was further used as a reference solution for numerical tests of the accuracy and robustness of two approximate ray-tracing approaches solving the complex eikonal equation: real elastic ray tracing and real viscoelastic ray tracing. Numerical modeling revealed that the real viscoelastic ray tracing method is unequivocally preferable to elastic ray tracing. It is more accurate and works even in situations when the elastic ray tracing fails. Also, the ray fields calculated by the real viscoelastic ray tracing are excellently reproduced even in the case when the elastic ray tracing yields completely distorted results. (en)
Title	On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution (en)
skos:prefLabel	On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution On numerically solving the complex eikonal equation using real ray-tracing methods: A comparison with the exact analytical solution (en)
skos:notation	RIV/67985530:_____/12:00377798!RIV13-AV0-67985530
http://linked.open...avai/riv/aktivita	I P Z
http://linked.open...avai/riv/aktivity	I, P(IAA300120801), Z(AV0Z30120515)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Vavryčuk, Václav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Geofyzikální ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	156286
http://linked.open...ai/riv/idVysledku	RIV/67985530:_____/12:00377798
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	anisotropic viscoelastic media; finite-difference calculation; travel-time calculation (en)
http://linked.open.../riv/klicoveSlovo	anisotropic viscoelastic media finite-difference calculation travel-time calculation
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[94E0731205D3]
http://linked.open...i/riv/nazevZdroje	Geophysics
http://linked.open...in/vavai/riv/obor	DC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Seismic waves and sources in anisotropic media II
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	77
http://linked.open...iv/tvurceVysledku	Vavryčuk, Václav
http://linked.open...ain/vavai/riv/wos	000307799800041
http://linked.open...n/vavai/riv/zamer	Study of the internal structure and dynamics of the Earth
issn	0016-8033
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1190/GEO2011-0431.1

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