Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331044" target="_blank" >RIV/00216208:11320/16:10331044 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11200-015-0479-8" target="_blank" >http://dx.doi.org/10.1007/s11200-015-0479-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11200-015-0479-8" target="_blank" >10.1007/s11200-015-0479-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

Popis výsledku v původním jazyce

We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. These derivatives are very important in studying wave propagation and have already found various applications in smooth media without interfaces. In order to extend the applications to media composed of layers and blocks, we derive the explicit equations for transforming these travel-time derivatives of arbitrary orders at a general smooth curved interface between two arbitrary media. The equations are applicable to both real-valued and complex-valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel-time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation.

Název v anglickém jazyce

Transformation of spatial and perturbation derivatives of travel time at a curved interface between two arbitrary media

Popis výsledku anglicky

We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. These derivatives are very important in studying wave propagation and have already found various applications in smooth media without interfaces. In order to extend the applications to media composed of layers and blocks, we derive the explicit equations for transforming these travel-time derivatives of arbitrary orders at a general smooth curved interface between two arbitrary media. The equations are applicable to both real-valued and complex-valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel-time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

DC - Seismologie, vulkanologie a struktura Země

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Studia Geophysica et Geodaetica

ISSN

0039-3169

e-ISSN

—

Svazek periodika

60

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

20

Strana od-do

451-470

Kód UT WoS článku

000382365100006

EID výsledku v databázi Scopus

2-s2.0-84978880021