Abstract: On the basis of Bourdet′s research on the reservoir model with single porosity and two layers and Warrant-Root′s research on the reservoir model with single layer and dual-porosity，aiming at the present study focusing on homogeneous reservoirs and the research on layered reservoirs with dual- porosity media being neglected，the authors of the paper analyze the complex flow mechanism of two- layered reservoirs with dual- porosity media and interface crossflow，through strict and detailed derivation，the flow model of this types of reservoirs is firstly built up，and the model is solved.By means of Stehfest numerical inversion and computer programming，the typical curves of bottom hole flow pressure are plotted.Finally，the influence of formation parameters on curve shape is analyzed according to flow mechanism and process.The achieved conclusion will be helpful to correctly recognize the flow mechanism of the reservoirs，and can be used to analyze well testing and reservoir deliverability.

Key words: layered reservoir, crossflow, dual porosity media, pressure performance, numerical inversion