Method and system for predicting production of fractured horizontal well in shale gas reservoir

The present disclosure relates to a method and system for predicting the production of a fractured horizontal well in a shale gas reservoir, and relates to the technical field of fractured horizontal wells. Considering the different diffusion modes of the matrix in different zones, the present disclosure uses Fick's First Law to describe the pseudo-steady-state diffusion of the matrix in the fracture network zone, Fick's Second Law to describe the unsteady-state diffusion of the matrix in the pure matrix zone, and Darcy's Law to describe the seepage in the fracture network. The present disclosure predicts the production of the fractured horizontal well in the shale gas reservoir under the conditions of matrix-microfracture coupling and hydraulically created fracture-microfracture coupling. The present disclosure improves the prediction accuracy of shale gas well production, and more accurately describes the actual flow law of the shale gas reservoir.