The current study aims to study the velocity profile of torsional surface waves in a three-layer model consisting of sand-dunes deposit sandwiched between the watery-porous layer and the orthotropic half-space. The top and the middle layers exhibit irregular interfaces employing various geometrical shapes such as parabolic, rectangular, and triangular notch. The main objective is to analyze the effect of these irregular interfaces on torsional wave propagation. Furthermore, the three-layer model involves inhomogeneity through gravity, initial stress, rigidity, and medium density. These inhomogeneity parameters, coupled with irregularity, bears a remarkable impact on the velocity-profile. The generalized dispersion relation has been derived, and one particular case has been deduced to validate the current work. Detailed numerical simulation has been performed to characterize the computations, and graphical illustrations have been exhibited to support the mathematical investigation.

目前的研究旨在研究由夹在水孔隙层和正交各向异性半空间之间的沙丘沉积组成的三层模型中扭转表面波的速度剖面。顶层和中间层呈现不规则界面，采用各种几何形状，如抛物线、矩形和三角形凹口。主要目的是分析这些不规则界面对扭转波传播的影响。此外，三层模型涉及重力、初始应力、刚度和中等密度的不均匀性。这些不均匀性参数，加上不规则性，对速度剖面产生显着影响。导出了广义色散关系，并推导出了一个特殊情况来验证当前的工作。