Based on the elastic properties of gas hydrate formations in the Shenhu Area, this paper establishes a coupled wellbore-fracture acoustic field model for hydrate reservoirs using the finite element method, focusing on the influence of hydraulic fracture height and width on acoustic wave properties. Simulation results for different fracture heights and widths show that: the existence of fractures significantly affects the amplitude and velocity of Stoneley waves; increasing fracture height leads to a notable decrease in Stoneley wave velocity with a superlinear decreasing trend, while increasing fracture width causes a gradual rise in the attenuation coefficient of Stoneley waves and significant enhancement of energy loss. Further analysis indicates that when the fracture height is large, the Stoneley wave attenuation coefficient tends to stabilize, showing an exponential decay pattern, whereas the increase in fracture width primarily alters the amplitude of Stoneley waves. This study provides a feasible reference for evaluating hydraulic fracture characteristics in Shenhu Area gas hydrate formations using array acoustic logging methods.