Numerical implementation of the initial-boundary value problem for nonlinear the onedimensional equations of poroelasticity for the water-ice system
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...
| Published in: | Arctic and Antarctic Research |
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| Main Authors: | , |
| Other Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | Russian |
| Published: |
Государственный научный центр Российской Федерации Арктический и антарктический научно-исследовательский институт
2018
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| Subjects: | |
| Online Access: | https://www.aaresearch.science/jour/article/view/35 https://doi.org/10.30758/0555-2648-2018-64-3-337-343 |
| Summary: | 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. Cтатья посвящена вопросу распространения упругих поперечных колебаний в двухфазной среде, состоящей из воды и льда (лед, пропитанный водой). Если рассматривать лед как некую пористую однородную среду с постоянной парциальной плотностью, то становится возможной постановка задач теории фильтрации для среды вода–лед. В данной работе рассматривается одна из возможных постановок прямой задачи, моделирующей распространение сигнала в этой среде. Численно решена начально-краевая задача для одномерной нелинейной системы уравнений пороупругости на основе явной разностной схемы. Представлена серия численных расчетов для пробной модели сред. |
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