Interpolation of the coupling-ray-theory Green function within ray cells

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Interpolation of the coupling-ray-theory Green function within ray cells

Popis výsledku v původním jazyce

The coupling-ray-theory tensor Green function for elastic S waves is frequency dependent, and is usually calculated for many frequencies. This frequency dependence represents no problem for calculating the Green function, but may be impractical or even unrealistic in storing the Green function at the nodes of dense grids, typical for applications such as Born approximation or non-linear source determination. We have already proposed the approximation of the coupling-ray-theory tensor Green function, in the vicinity of a given prevailing frequency, by two coupling-ray-theory dyadic Green functions described by their coupling-ray-theory travel times and their coupling-ray-theory amplitudes. The above mentioned prevailing-frequency approximation of the coupling ray theory enables us to interpolate the coupling-ray-theory dyadic Green functions within ray cells, and to calculate them at the nodes of dense grids. For the interpolation within ray cells, we need to separate the pairs of the prevailing-frequency coupling-ray-theory dyadic Green functions so that both the first Green function and the second Green function are continuous along rays and within ray cells. In this contribution, we describe the current progress in this field and outline the basic algorithms. We also demonstrate the preliminary numerical results in several velocity models.

Název v anglickém jazyce

Interpolation of the coupling-ray-theory Green function within ray cells

Popis výsledku anglicky

The coupling-ray-theory tensor Green function for elastic S waves is frequency dependent, and is usually calculated for many frequencies. This frequency dependence represents no problem for calculating the Green function, but may be impractical or even unrealistic in storing the Green function at the nodes of dense grids, typical for applications such as Born approximation or non-linear source determination. We have already proposed the approximation of the coupling-ray-theory tensor Green function, in the vicinity of a given prevailing frequency, by two coupling-ray-theory dyadic Green functions described by their coupling-ray-theory travel times and their coupling-ray-theory amplitudes. The above mentioned prevailing-frequency approximation of the coupling ray theory enables us to interpolate the coupling-ray-theory dyadic Green functions within ray cells, and to calculate them at the nodes of dense grids. For the interpolation within ray cells, we need to separate the pairs of the prevailing-frequency coupling-ray-theory dyadic Green functions so that both the first Green function and the second Green function are continuous along rays and within ray cells. In this contribution, we describe the current progress in this field and outline the basic algorithms. We also demonstrate the preliminary numerical results in several velocity models.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10500 - Earth and related environmental sciences

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Expanded Abstracts of 15th Int. Congress of the Brazilian Geophysical Society

ISBN

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ISSN

2175-4551

e-ISSN

neuvedeno

Počet stran výsledku

6

Strana od-do

1-6

Název nakladatele

Brazilian Geophysical Society

Místo vydání

Rio de Janeiro

Místo konání akce

Rio de Janeiro

Datum konání akce

31. 7. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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