多孔热弹介质中的非均质波传播与双相滞后热传导

IF 2.5 4区 工程技术 Q2 ENGINEERING, MECHANICAL Journal of Porous Media Pub Date : 2024-08-01 DOI:10.1615/jpormedia.2024053065
Manjeet Kumari, Priyanka Lather, Neelam Kumari, Pradeep Kaswan, Manjeet Kumar
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引用次数: 0

摘要

我们正在研究一个包含热传导双相滞后(DPL)模型的数学模型。我们可以用这个模型来研究热弹性波在多孔热弹性材料中的表现。我们从该模型中提取了克里斯托弗方程的修正版,以研究谐波平面波的传播。我们接下来求解这些方程,以得到波在介质中的复速度。介质中出现了四种波,方程解释了它们的存在和传播。我们发现了介质中固体和流体粒子的位移与波引起的温度之间的相关性。研究考虑了非均质波传播的情况,它由一个复杂的慢度矢量规格定义,并带有一个表示非均质程度的有限非维参数。在多孔集合体中不均匀传播的四种衰减波中,每种波的相速度和衰减系数都已确定。我们使用液体饱和砂岩的数值模型计算了压缩波和剪切波的速度和衰减。它们随热参数和孔弹性参数的波动情况将直观地显示出来。
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Inhomogeneous wave propagation in porothermoelastic medium with dual-phase-lag heat conduction
We are examining a mathematical model incorporating a heat conduction dual-phase-lags (DPL) model. One may use this model to examine how thermoelastic waves behave in a porous thermoelastic material. A modified version of the Christoffel equations is extracted from the model to investigate the propagation of harmonic plane waves. We next solve these equations to get the complex velocities of waves in the medium. Four waves appear in the medium, and the equations explain their existence and propagation. We find the correlations between the displacements of solid and fluid particles and the wave-induced temperature in the medium. The study considers the case of inhomogeneous wave propagation, defined by a complex slowness vector specification with a finite non-dimensional parameter indicating the inhomogeneity degree. Each of the four attenuated waves propagating inhomogeneously through the porous aggregate has its phase velocities and attenuation coefficients determined. We calculate the velocities and attenuation of the compressional and shear waves using a numerical model of liquid-saturated sandstone. Their fluctuations with thermal and poroelastic parameters are depicted visually.
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来源期刊
Journal of Porous Media
Journal of Porous Media 工程技术-工程:机械
CiteScore
3.50
自引率
8.70%
发文量
89
审稿时长
12.5 months
期刊介绍: The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.
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