Wave propagation in periodic fluid-solid layered media

Dispersion equation is derived for the Floquet waves in a horizontal periodically layered fluid-solid medium. It is shown that the dispersion equation consists of four factors. This representation explains the splitting of parameters (frequency, horizontal slowness) in passing and stop bands. The Fl...

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Збережено в:
Бібліографічні деталі
Дата:2016
Автори: Roganov, Yu.V., Roganov, V.Yu.
Формат: Стаття
Мова:rus
Опубліковано: Subbotin Institute of Geophysics of the NAS of Ukraine 2016
Теми:
Онлайн доступ:https://journals.uran.ua/geofizicheskiy/article/view/91877
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Назва журналу:Geofizicheskiy Zhurnal

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Geofizicheskiy Zhurnal
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Резюме:Dispersion equation is derived for the Floquet waves in a horizontal periodically layered fluid-solid medium. It is shown that the dispersion equation consists of four factors. This representation explains the splitting of parameters (frequency, horizontal slowness) in passing and stop bands. The Floquet waves with horizontal group velocity can be computed individually from each of these factors. The properties of horizontally propagated waves are considered. The equations for the ratios of the components of polarization vectors and the amplitudes of partial waves are derived. Proposed theory is illustrated in one numerical example