Earth dams, essential hydraulic structures that form the link between water management and power generation, require careful examination of their structural and functional integrity. The essence of its stability lies in the dynamic response of soil structures used in construction to diverse operational stresses. To address this problem, it is necessary to conduct a comprehensive analysis of various geometric and hydraulic factors. This study focuses on unraveling the complex dynamics governing the slope stability (D/S) of the proposed earth dam section. Pivotal indicators for this evaluation are the frictional and shear strength of the soil, which responds to the countless stresses encountered during the operation phases. Taking advantage of advanced Geostudio software, we examined the effect of different filter lengths, permeability coefficients, and operating heads on shear strength and friction. The findings highlight a consistent pattern in the behavior of both frictional and shear forces with respect to distance from the base of the dam. These strengths rise to peak values at a specific distance (65 m), after which a downward trend is observed towards the toe of the dam. Notably, the study emphasizes the critical role of the 30 m filter length, the permeability coefficient K3, and to some extent, K2, in amplifying the friction force values at storage levels ranging from 15 to 40. moreover, the peak friction force at 138.2 kPa and the maximum shear strength value at 158.2 kPa appear at an operating head (H) of 40 m. This optimal performance is intricately linked to the strategic use of a 30 m filter length and a permeability coefficient of  m/s. However, this research not only highlights the delicate interplay between hydraulic and geometric factors within the stability of earth dams but also underscores the critical importance of specific configurations in fortifying against potential failure. The insights gained from this study contribute significantly to considerations related to the design, construction, and operation of earth dams, ensuring robust performance in the face of diverse challenges.