Compact reservoirs typically have a higher number of inherent fractures, which in turn heightens stress vulnerability in these reservoirs. Developing a model for the seepage of a horizontal well during volume fracturing, influenced by stress sensitivity, presents a formidable challenge. In this paper, utilizing techniques such as Laplace transform, perturbation transform, and Stehfest numerical inversion methods, A model for horizontal well seepage in the context of volume fracturing within stress-sensitive tight reservoirs has been developed. This model takes into account the impact of stress sensitivity, the use of dual media, interference from fractures, and intricate fracture networks on leakage in confined reservoirs. This model is used to divide the seepage stage of horizontal Wells in the volumetric fracturing of tight reservoirs, and to examine how crucial factors like stress sensitivity, wellbore capacity, skin coefficient, and reservoir capacity ratio are affected, thereby laying down a theoretical groundwork for the effective creation of compact reservoirs.