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Statements

Subject Item
n2:RIV%2F67985530%3A_____%2F12%3A00377798%21RIV13-AV0-67985530
rdf:type
n7:Vysledek skos:Concept
dcterms: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.
dcterms: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
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
skos:notation
RIV/67985530:_____/12:00377798!RIV13-AV0-67985530
n7:predkladatel
n19:ico%3A67985530
n3:aktivita
n8:I n8:P n8:Z
n3:aktivity
I, P(IAA300120801), Z(AV0Z30120515)
n3:cisloPeriodika
4
n3:dodaniDat
n10:2013
n3:domaciTvurceVysledku
n14:4755405
n3:druhVysledku
n11:J
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n4:predkladatel
n3:idSjednocenehoVysledku
156286
n3:idVysledku
RIV/67985530:_____/12:00377798
n3:jazykVysledku
n20:eng
n3:klicovaSlova
anisotropic viscoelastic media; finite-difference calculation; travel-time calculation
n3:klicoveSlovo
n6:finite-difference%20calculation n6:travel-time%20calculation n6:anisotropic%20viscoelastic%20media
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[94E0731205D3]
n3:nazevZdroje
Geophysics
n3:obor
n18:DC
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n12:IAA300120801
n3:rokUplatneniVysledku
n10:2012
n3:svazekPeriodika
77
n3:tvurceVysledku
Vavryčuk, Václav
n3:wos
000307799800041
n3:zamer
n15:AV0Z30120515
s:issn
0016-8033
s:numberOfPages
8
n17:doi
10.1190/GEO2011-0431.1