Abstract
Summary This article is devoted to the problem of propagation of elastic transverse oscillations in a two-phase medium consisting of water and ice (ice impregnated with water). If we consider ice as a kind of porous homogeneous medium with constant partial density, then it becomes possible to apply the problems of the theory of filtration to the water-ice medium. In this paper, we consider one of the possible formulations of the direct problem modeling the propagation of a signal in this medium is considered. The initial-boundary value problem for a one-dimensional nonlinear system of poroelasticity equations is solved by numerical method on the basis of an explicit-difference scheme. A series of numerical calculations for a trial model of the media is presented.The aim of the paper is to describe the approach to the study of water-ice media using the equations of filtration theory. The object of the study is the propagation of wave oscillations in such media. Such fluctuations can have different nature (seismic, acoustic, etc.). For example, it is of interest to use this approach to model the propagation of sea waves in the ice of the initial stage of ice formation.
Highlights
Ниже представлены результаты моделирования распространения сигналов во льду, перемешанном с водой
Также при некоторых модификациях данной модели возможно ее применение к изучению вопроса распространения колебаний, вызванных морским волнением во льдах начальных стадий ледообразования
Natural convection inside an inclined wavy enclosure filled with aporous medium // Transport in Porous Media. 2006
Summary
The object of the study is the propagation of wave oscillations in such media Such fluctuations can have different nature (seismic, acoustic, etc.). Задачи теории фильтрации возникают при изучении движения однородной жидкости в пористой среде. При математическом моделировании процессов тепломассопереноса в изотропных пористых средах [1, 2, 3, 4, 5, 6, 7] применяют различные модели, основанные на общих физических законах массы, импульса и энергии в упруго-деформируемой пористой среде. В модели Дарси, как правило, влиянием инерционных эффектов на режимы течения и теплопереноса в пористой среде пренебрегают. Блохина [3, 12] при построении математической модели движения жидкости через упруго-деформируемую пористую среду не предполагается выполнение закона Дарси, а он получен как следствие в одном предельном случае.
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