Due to rapid urbanization, there has been a significant upsurge in construction activities near existing structures. However, these activities often have detrimental effects on the existing buildings and cause discomfort to the occupants. Furthermore, vibrations originating from construction activities are difficult to predict beforehand due to the uncertainties associated with certain construction activities and are costly to mitigate. Vibration mitigation methods that focus on minimizing the vibrations at the vibration-generating point need to be installed prior to the commencement of the construction activity. In such cases, installing a trench in the path of the propagating wave can be an appealing solution for vibration screening. At present, a sand-rubber mixture (SRM) is used as filling material for the barrier. Accordingly, this paper focuses on presenting the construction vibration screening properties of SRM. For this purpose, a finite element analysis is performed using commercial software (ABAQUS). The numerical model is validated using experimental and numerical data reported in previous studies. The validated numerical model is used to perform further analysis. This paper aims to examine the diverse factors that impact the performance of trenches. Accordingly, the influence of trench geometry, soil characteristics, and different SRM configurations on the attenuating characteristics is thoroughly investigated. Further, the impact of barrier geometry on the vibration attenuation characteristics is investigated using the axisymmetric and plane strain models. Finally, the results of SRM are compared with those of a conventional open trench to understand the wave attenuation behavior better. The results corroborated that employing SRM-filled trenches proved to be a viable alternative in mitigating ground vibration effectively.