In this paper, a general solution to the field equations of a generalized thermoelastic medium with double porosity has been obtained. To investigate the problem, we use the Lord–Shulman theory in the thermoelasticity. The half-space of an isotropic homogeneous thermoelastic material is considered. Using the normal mode analysis and the numerical inversion technique, the analytic expressions of the physical quantities are obtained. Numerically, computed results for these quantities and its depicted graphically lead to study the effect of porosity. Comparisons in the presence and absence of double porosity, in two different times, are obtained. Although the problem has been solved theoretically, it is possible for researchers to benefit from their results in many different sciences, for example, in the field of geophysics, earthquake engineering, along with seismologist working in the field of mining tremors and drilling into the crust of the earth.

中文翻译：

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基于LS理论的广义双孔隙热弹性介质的精确解

本文获得了具有双孔隙率的广义热弹性介质场方程的一般解。为了研究这个问题，我们在热弹性中使用了Lord–Shulman理论。考虑各向同性均质热弹性材料的半空间。利用正态分析和数值反演技术，获得了物理量的解析表达式。在数值上，这些量的计算结果及其以图形方式描绘出，可以研究孔隙度的影响。在两个不同的时间，对存在和不存在双重孔隙的情况进行了比较。尽管理论上已经解决了该问题，但研究人员有可能受益于许多不同科学领域的研究成果，例如地球物理学，地震工程学，