Wave Interaction with Fractured Porous Layer in Porous Medium

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602145

A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko

引用次数: 0

Abstract

The transmission and reflection of a pulse wave in a porous medium with a layer of a fractured porous medium under normal and oblique incidence is numerically investigated. The study was carried out using a two-velocity model of a porous medium and a three-velocity model of a fractured porous medium. ‘‘Opened pores’’ condition was used on the ‘‘porous medium–fractured porous medium’’ interface. The problem is considered in a two-dimensional formulation. The features of this wave process are revealed.

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多孔介质中波与断裂多孔层的相互作用

摘要对脉冲波在多孔介质中的传输和反射进行了数值研究，多孔介质层中有一层断裂的多孔介质，在正入射和斜入射下。研究使用了多孔介质的双速度模型和断裂多孔介质的三速度模型。在 "多孔介质-断裂多孔介质 "界面上使用了 "开放孔隙 "条件。问题以二维形式进行考虑。揭示了这一波过程的特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.