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Elementary Green function as an integral superposition of Gaussian beams in inhomogeneous anisotropic layered structures in Cartesian coordinates

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985530%3A_____%2F17%3A00475687" target="_blank" >RIV/67985530:_____/17:00475687 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/17:10367431

  • Result on the web

    <a href="http://dx.doi.org/10.1093/gji/ggx183" target="_blank" >http://dx.doi.org/10.1093/gji/ggx183</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/gji/ggx183" target="_blank" >10.1093/gji/ggx183</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Elementary Green function as an integral superposition of Gaussian beams in inhomogeneous anisotropic layered structures in Cartesian coordinates

  • Original language description

    Integral superposition of Gaussian beams is a useful generalization of the standard ray theory. It removes some of the deficiencies of the ray theory like its failure to describe properly behaviour of waves in caustic regions. It also leads to a more efficient computation of seismic wavefields since it does not require the time-consuming two-point ray tracing. We present the formula for a high-frequency elementary Green function expressed in terms of the integral superposition of Gaussian beams for inhomogeneous, isotropic or anisotropic, layered structures, based on the dynamic ray tracing (DRT) in Cartesian coordinates. For the evaluation of the superposition formula, it is sufficient to solve the DRT in Cartesian coordinates just for the point-source initial conditions. Moreover, instead of seeking 3 x 3 paraxial matrices in Cartesian coordinates, it is sufficient to seek just 3 x 2 parts of these matrices. The presented formulae can be used for the computation of the elementary Green function corresponding to an arbitrary direct, multiply reflected/transmitted, unconverted or converted, independently propagating elementary wave of any of the three modes, P, S1 and S2. Receivers distributed along or in a vicinity of a target surface may be situated at an arbitrary part of the medium, including ray-theory shadow regions. The elementary Green function formula can be used as a basis for the computation of wavefields generated by various types of point sources (explosive, moment tensor).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10507 - Volcanology

Result continuities

  • Project

    <a href="/en/project/GA16-05237S" target="_blank" >GA16-05237S: Seismic waves in inhomogeneous weakly anisotropic media</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Geophysical Journal International

  • ISSN

    0956-540X

  • e-ISSN

  • Volume of the periodical

    210

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    9

  • Pages from-to

    561-569

  • UT code for WoS article

    000409283300001

  • EID of the result in the Scopus database

    2-s2.0-85037109401