The accurate prediction of fracture geometry parameters is the base for compound perforation optimization design and production evaluation.The deflagration gas filtration and multi-fracture will affect fracture propagation in the implementation of compound perforation.Combined with the theory of fluid mechanics，elastic mechanics and linear elastic fracture mechanics，the model of fracture propagation is developed overall considering the effect of deflagration gas filtration and multi-fracture.A function with multiple variables describing gas pressure distribution in crack is proposed herein to realize the numerical resolution of the model using the iteration method，and the dynamic change law of fracture geometry with time is obtained.The results of example show that，the formation permeability and the number of fractures have high influence on the fracture propagation.Ignoring deflagration gas filtration and multi-fracture will result in higher calculation values of fracture length and the relative errors will amplify with the increase of the formation permeability and the number of fractures.