Mathematical Modeling for Thin-Layered Elastic Media in Seismic Exploration

G. M. Mitrofanov, A. L. Karchevsky

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

Some issues of mathematical modeling of wave fields associated with thin-layered objectsin a horizontally layered medium are considered. Systems of partial differential equations thatcorrespond to the theory of elasticity are used when describing wave propagation processes. As aresult, both vertical and horizontal displacement components are obtained; this is important forsetting up and analyzing seismic field work with three-component instruments. In addition, in themathematical statement of the problem, a buried source of the spreading center type is used; thisbrings the model results closer to the real experiment. The solution of the problem written inspectral form is analyzed; this may turn out to be significant when this solution is used to solveinverse dynamic seismic problems. The paper presents not only the computational features of theproposed scheme for solving the problem but also the study of the resulting wave fields from thepoint of view of their use in the processing and interpretation of real seismic data.

Язык оригиналаанглийский
Страницы (с-по)501-511
Число страниц11
ЖурналJournal of Applied and Industrial Mathematics
Том16
Номер выпуска3
DOI
СостояниеОпубликовано - мая 2022

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  • 1.01 МАТЕМАТИКА
  • 2.03 МЕХАНИКА И МАШИНОСТРОЕНИЕ

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