地下的电磁弹性波

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-09-01 DOI:10.32523/2306-6172-2023-11-3-98-115

David da Costa de Pinho, Viatcheslav Priimenko

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引用次数: 0

摘要

考虑了当整个系统处于外加磁场时，耦合的机械波和电磁波在导电弹性介质中的传播。我们使用Dunkin和Eringen在1963年引入的数学模型。分析了外加磁场和介质参数对耦合电磁波和弹性波色散和衰减的影响。我们还利用Ursin方法模拟了弱/强外加磁场作用下层状介质中耦合的机械波和电磁波的传播。结果证实了Ursin方法在模拟磁弹性振荡中的有效性，并可用于分析地球导电层运动过程中伴随地磁场扰动的电动力学现象。

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ELECTROMAGNETOELASTIC WAVES IN EARTH’S SUBSURFACE

The propagation of coupled mechanical and electromagnetic waves in a conducting elastic medium when the entire system is in an external magnetic field is considered. We use the mathematical model introduced by Dunkin and Eringen in 1963. The influence of an external magnetic field and medium parameters on the dispersion and attenuation of coupled electromagnetic and elastic waves is analyzed. We also simulated the propagation of coupled mechanical and electromagnetic waves in layered media using the Ursin method with a weak/strong external magnetic field. The results confirmed the effectiveness of using Ursin’s method in modeling magnetoelastic oscillations and can be used to analyze electrodynamic phenomena accompanying disturbances of the geomagnetic field during the movement of the conducting layers of the Earth.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.