The present work is devoted to a study of the generalized poro-thermoelasticity theory and aims to derive the variational principle and continuous dependence results in the context of this theory. The basic field equations are considered for an isotropic and homogeneous fluid-saturated poro-thermoelastic medium. With the concept of incorporating initial conditions into the field equations, an alternative characterization of the present mixed initial-boundary value problem is presented. By taking into account of this alternative characterization, a convolution type variational principle is derived in the context of this generalized poro-thermoelasticity theory. Further, a continuous dependence result of solution on initial data and external supply terms (heat source and body force) is established. Uniqueness of solution of the present problem is also shown to be followed from this result.

目前的工作致力于研究广义多孔热弹性理论，旨在推导该理论背景下的变分原理和连续依赖结果。考虑各向同性和均匀流体饱和多孔热弹性介质的基本场方程。通过将初始条件纳入场方程的概念，提出了当前混合初始边界值问题的另一种表征。通过考虑这种替代表征，在该广义多孔热弹性理论的背景下推导出卷积型变分原理。此外，建立了解对初始数据和外部供给项（热源和体力）的连续依赖结果。