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Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium. / Sedipkov, A. A.

в: Journal of Applied and Industrial Mathematics, Том 12, № 4, 01.10.2018, стр. 738-748.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Sedipkov, AA 2018, 'Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium', Journal of Applied and Industrial Mathematics, Том. 12, № 4, стр. 738-748. https://doi.org/10.1134/S1990478918040142

APA

Sedipkov, A. A. (2018). Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium. Journal of Applied and Industrial Mathematics, 12(4), 738-748. https://doi.org/10.1134/S1990478918040142

Vancouver

Sedipkov AA. Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium. Journal of Applied and Industrial Mathematics. 2018 окт. 1;12(4):738-748. doi: 10.1134/S1990478918040142

Author

Sedipkov, A. A. / Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium. в: Journal of Applied and Industrial Mathematics. 2018 ; Том 12, № 4. стр. 738-748.

BibTeX

@article{47957e26bb0545cc8167a852dcbc01c9,
title = "Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium",
abstract = "Under study is the wave propagation process in the half-space y3 = 0 with the Cartesian coordinates y1, y2, and y3 which is filled with an elastic medium. The parameters of the medium are discontinuous and depend only on the coordinate y3. The wave process is induced by an external perturbation source that generates a plane wave moving from the domain y3 > h > 0. It is proved that the direct dynamic problem is uniquely solvable in the corresponding function space, and a special presentation is found for the solution. The problem of determination of the acoustic impedance of the medium from the wave field measurements on the surface is investigated by the spectral methods of the theory of differential equations.",
keywords = "acoustic impedance, inverse spectral problem, stratified elastic medium, Sturm–Liouville operator",
author = "Sedipkov, {A. A.}",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = oct,
day = "1",
doi = "10.1134/S1990478918040142",
language = "English",
volume = "12",
pages = "738--748",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Application of Spectral Methods to Inverse Dynamic Problem of Seismicity of a Stratified Medium

AU - Sedipkov, A. A.

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - Under study is the wave propagation process in the half-space y3 = 0 with the Cartesian coordinates y1, y2, and y3 which is filled with an elastic medium. The parameters of the medium are discontinuous and depend only on the coordinate y3. The wave process is induced by an external perturbation source that generates a plane wave moving from the domain y3 > h > 0. It is proved that the direct dynamic problem is uniquely solvable in the corresponding function space, and a special presentation is found for the solution. The problem of determination of the acoustic impedance of the medium from the wave field measurements on the surface is investigated by the spectral methods of the theory of differential equations.

AB - Under study is the wave propagation process in the half-space y3 = 0 with the Cartesian coordinates y1, y2, and y3 which is filled with an elastic medium. The parameters of the medium are discontinuous and depend only on the coordinate y3. The wave process is induced by an external perturbation source that generates a plane wave moving from the domain y3 > h > 0. It is proved that the direct dynamic problem is uniquely solvable in the corresponding function space, and a special presentation is found for the solution. The problem of determination of the acoustic impedance of the medium from the wave field measurements on the surface is investigated by the spectral methods of the theory of differential equations.

KW - acoustic impedance

KW - inverse spectral problem

KW - stratified elastic medium

KW - Sturm–Liouville operator

UR - http://www.scopus.com/inward/record.url?scp=85058082252&partnerID=8YFLogxK

U2 - 10.1134/S1990478918040142

DO - 10.1134/S1990478918040142

M3 - Article

AN - SCOPUS:85058082252

VL - 12

SP - 738

EP - 748

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 17828561