We study the reflection and transmission (R/T) characteristics of inhomogeneous plane waves at the interface between two dissimilar fluid-saturated thermoporoelastic media at arbitrary incidence angles. The R/T behaviors are formulated based on the classic Lord–Shulman (LS) and Green–Lindsay (GL) heat-transfer models as well as a generalized LS model, respectively. The latter results from different values of the Maxwell-Vernotte-Cattaneo relaxation times. These thermoporoelastic models can predict three inhomogeneous longitudinal (P1, P2, and T) waves and one shear (S) wave. We first compare the LS and GL models for the phase velocities and attenuation coefficients of plane waves, where the homogeneous wave has a higher velocity but weaker thermal attenuation than the inhomogeneous wave. Considering the oil–water contact, we investigate R/T coefficients associated with phase angles and energy ratios, which are formulated in terms of incidence and inhomogeneity angles, with the latter having a significant effect on the interference energy. The proposed thermoporoelastic R/T model predicts different energy partitions between the P and S modes, especially at the critical angle and near grazing incidence. We observe the anomalous behavior for an incident P wave with the inhomogeneity angle near the grazing incidence. The energy partition at the critical angle is mainly controlled by relaxation times and boundary conditions. Beyond the critical angle, the energy flux predicted by the Biot poroelastic and LS models vanishes vertically, becoming the opposite for the GL and generalized LS models. The resulting energy flux shows a good agreement with the R/T coefficients, and they are well proven by the conservation of energy, where the results are valuable for the exploration of thermal reservoirs.

我们研究了任意入射角下两种不同流体饱和热多孔弹性介质之间界面处的非均匀平面波的反射和透射（R / T ）特性。 R / T行为分别基于经典的 Lord–Shulman (LS) 和 Green–Lindsay (GL) 传热模型以及广义 LS 模型来制定。后者是由 Maxwell-Vernotte-Cattaneo 弛豫时间的不同值产生的。这些热多孔弹性模型可以预测三种不均匀纵波（P1、P2 和 T）和一种剪切（S）波。我们首先比较了 LS 和 GL 模型的平面波相速度和衰减系数，其中均匀波比非均匀波具有更高的速度但热衰减更弱。考虑到油水界面，我们研究了与相位角和能量比相关的R / T系数，这些系数是根据入射角和不均匀角来制定的，后者对干涉能量有显着影响。所提出的热多孔弹性R / T模型预测了 P 模式和 S 模式之间的不同能量分配，特别是在临界角和近掠入射处。我们观察到入射 P 波的异常行为，其不均匀角接近掠入射。临界角处的能量分配主要由弛豫时间和边界条件控制。超过临界角，Biot 多孔弹性模型和 LS 模型预测的能量通量垂直消失，与 GL 和广义 LS 模型相反。由此产生的能量通量与R / T系数吻合良好，并且很好地证明了能量守恒，该结果对于热储层的勘探具有重要价值。