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

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)738-748
Число страниц11
ЖурналJournal of Applied and Industrial Mathematics
Том12
Номер выпуска4
DOI
СостояниеОпубликовано - 1 окт 2018

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