Perturbation expansions of complex-valued travel time along real-valued reference rays

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10051829" target="_blank" >RIV/00216208:11320/10:10051829 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Perturbation expansions of complex-valued travel time along real-valued reference rays

Popis výsledku v původním jazyce

The eikonal equation in an attenuating medium has the form of a complex-valued Hamilton-Jacobi equation and must be solved in terms of the complex-valued travel time (complex-valued action function). The solution of the complex-valued Hamilton- Jacobi equation for complex-valued travel time by Hamilton's equations of rays would require complex-valued rays (complex-valued geodesics). Since the material properties are known in real space only, we cannot calculate complex-valued rays. A very suitable approximate method for calculating the complex-valued travel time right in real space is represented by the perturbation from the reference travel time calculated along real- valued reference rays to the complex-valued travel time defined by the complex-valued Hamilton-Jacobi equation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 193-205, Dep. Geophys., Charles Univ., Prague, 2010.

Název v anglickém jazyce

Perturbation expansions of complex-valued travel time along real-valued reference rays

Popis výsledku anglicky

The eikonal equation in an attenuating medium has the form of a complex-valued Hamilton-Jacobi equation and must be solved in terms of the complex-valued travel time (complex-valued action function). The solution of the complex-valued Hamilton- Jacobi equation for complex-valued travel time by Hamilton's equations of rays would require complex-valued rays (complex-valued geodesics). Since the material properties are known in real space only, we cannot calculate complex-valued rays. A very suitable approximate method for calculating the complex-valued travel time right in real space is represented by the perturbation from the reference travel time calculated along real- valued reference rays to the complex-valued travel time defined by the complex-valued Hamilton-Jacobi equation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 193-205, Dep. Geophys., Charles Univ., Prague, 2010.

Druh

O - Ostatní výsledky

CEP obor

DC - Seismologie, vulkanologie a struktura Země

OECD FORD obor

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Projekt

<a href="/cs/project/GAP210%2F10%2F0736" target="_blank" >GAP210/10/0736: Nové trendy v paprskových metodách - část 4</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

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