. "Seismic wave propagation in complex structures - perturbation approaches"@en . . . "0"^^ . "perturbations" . . "1"^^ . "2010-04-16+02:00"^^ . "2010-12-31+01:00"^^ . "1"^^ . " viscoelasticity" . . "Seismic observations indicate that the Earth is anisotropic and anelastic in regions of special interest for geophysics. Seismic waves propagating in such media are directionally attenuated. We studied intensively combined effects of anelasticity and anisotropy on propagation of homogeneous and inhomogeneous plane\u00A0waves within the project GACR 205/05/2182. We derived exact formulae, which can be used to study quantitatively the combined effects of attenuation and anisotropy on wave propagation. We realized that\u00A0study of wave propagation in heterogeneous viscoelastic anisotropic media\u00A0will be impossible without use of perturbation approaches. We would, therefore, like to concentrate on them in the proposed project. We plan to find approximate expressions based on the first-order perturbations for all quantities, whose exact counterparts have been studied in the previous project. As perturbations, we want to consider weak attenuation, weak inhomogeneity of considered waves and/or weak"@en . . "\u0160\u00ED\u0159en\u00ED seismick\u00FDch vln ve slo\u017Eit\u00FDch prost\u0159ed\u00EDch - perturba\u010Dn\u00ED p\u0159\u00EDstupy" . . . . "http://www.isvav.cz/projectDetail.do?rowId=GA205/08/0332"^^ . . "2015-02-09+01:00"^^ . . . . "2008-01-01+01:00"^^ . "GA205/08/0332" . "Seismick\u00E1 pozorovan\u00ED nazna\u010Duj\u00ED, \u017Ee zemsk\u00E9 nitro je v oblastech, kter\u00E9 jsou v sou\u010Dasn\u00E9 dob\u011B p\u0159edm\u011Btem intenzivn\u00EDho z\u00E1jmu, anizotropn\u00ED a neelastick\u00E9. Seismick\u00E9 vlny, \u0161\u00ED\u0159\u00EDc\u00ED se v uveden\u00FDch oblastech jsou sm\u011Brov\u011B tlumeny.\u00A0Kombinovan\u00FDm efekt\u016Fm anizotropie a neelasticity prost\u0159ed\u00ED na \u0161\u00ED\u0159en\u00ED homogenn\u00EDch a nehomogenn\u00EDch rovinn\u00FDch vln jsme se intenzivn\u011B zab\u00FDvali v projektu GA\u010CR 205/05/2182. Byly odvozeny p\u0159esn\u00E9 vzorce, na jejich\u017E z\u00E1klad\u011B je mo\u017Eno v\u00FD\u0161e zm\u00EDn\u011Bn\u00E9 efekty kvantitativn\u011B hodnotit. Uk\u00E1zalo se, \u017Ee pro realistick\u00E1 heterogenn\u00ED prost\u0159ed\u00ED budou m\u00EDt velk\u00FD v\u00FDznam\u00A0perturba\u010Dn\u00ED p\u0159\u00EDstupy. V navrhovan\u00E9m projektu bychom se jim proto cht\u011Bli detailn\u011B v\u011Bnovat. Pro v\u0161echny veli\u010Diny, kter\u00E9 jsme dosud studovali, chceme naj\u00EDt jejich p\u0159ibli\u017En\u00E1 vyj\u00E1d\u0159en\u00ED zalo\u017Een\u00E1 na prvn\u00EDm p\u0159ibl\u00ED\u017Een\u00ED perturba\u010Dn\u00ED teorie. Jako mal\u00E9 veli\u010Diny, vzhledem ke kter\u00FDm chceme rozv\u00EDjet p\u0159esn\u00E9 v\u00FDrazy, chceme uva\u017Eovat neelasticitu (slab\u00E1 absorpce), nehomogenitu vln (slab\u011B nehomogenn\u00ED vlny), a anizotropii (slab\u00E1 anizotropie). Chceme se zam\u011B\u0159it" . "Zobecnili jsme faktor kvality prost\u0159ed\u00ED Q pro nehomogenn\u00ED anizotropn\u00ED absorbuj\u00EDc\u00ED prost\u0159ed\u00ED. Tento faktor Q je sm\u011Brov\u011B z\u00E1visl\u00FD. Pro slab\u011B nehomogenn\u00ED vlny \u0161\u00ED\u0159\u00EDc\u00ED se v slab\u011B absorbuj\u00EDc\u00EDch prost\u0159ed\u00EDch je Q nez\u00E1visl\u00E9 na nehomogenit\u011B vlny a je tak vhodnou veli\u010Dinou pro m\u011B\u0159en\u00ED absorp\u010Dn\u00EDch vlastnost\u00ED prost\u0159ed\u00ED. Studiem hrani\u010Dn\u00EDch \u00FAhl\u016F \u00FAtlumu jsme jasn\u011B uk\u00E1zali nutnost pou\u017E\u00EDv\u00E1n\u00ED n\u00E1mi navr\u017Een\u00E9 tzv. sm\u00ED\u0161e"@cs . . . . "We succeeded to generalize the quality factor Q for heterogeneous anisotropic dissipative media. The factor Q is directionally dependent. For weakly inhomogeneous waves propagating in weakly dissipative media, the factor Q is independent of the inhomogeneity of the waveand it thus represents a useful quantity for measuring intrinsic attenuation of the medium. Our study of boundary attenuation ang"@en . "15"^^ . . "15"^^ . . . "perturbations; anisotropy; viscoelasticity; homogeneous and inhomogeneous waves"@en . " anisotropy" .