Abstract Ultrasound wave propagation through a porous medium results in a temperature increase due to mechanical dissipation. This temperature increase has different applications in medical science, food industry, and engineering. A fully coupled dynamic thermo-hydro-mechanical (THM) model is presented for numerical modelling of this phenomenon in deforming porous media. The temperature increase due to wave propagation is taken into account in the energy conservation equation by using a viscous drag force and considering solid-fluid interaction. The solid and fluid displacements ( U → s and U → w ) and the temperature ( T ) are taken as primary unknowns in the model known in literature as uUT model. The finite element method is used for the discrete approximation of the governing partial differential equations. Based on the numerical examples carried out in this study, it is shown that the scale of the simulated sample may have a very pronounced effect on the results, and that results from small scale laboratory samples should not be extrapolated to the actual field condition. Furthermore, the results of ultrasound application in porous media indicate a significant increase in temperature in the vicinity of the source boundary.

中文翻译：

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低渗透率多孔介质中超声波传播发热：理论框架和耦合数值模拟

摘要 超声波在多孔介质中的传播会由于机械耗散而导致温度升高。这种温度升高在医学科学、食品工业和工程中有不同的应用。提出了一种完全耦合的动态热-水力-机械 (THM) 模型，用于对多孔介质变形中的这种现象进行数值建模。在能量守恒方程中，通过使用粘性阻力并考虑固液相互作用，考虑了由于波传播引起的温度升高。在文献中称为 uUT 模型的模型中，固体和流体位移（U → s 和 U → w）和温度 (T) 被视为主要未知数。有限元方法用于控制偏微分方程的离散逼近。基于本研究进行的数值算例表明，模拟样品的规模可能对结果有非常显着的影响，小规模实验室样品的结果不应外推到实际现场条件。此外，超声波在多孔介质中的应用结果表明，源边界附近的温度显着升高。