Based on large number of shale gas exploration and development literature research, this paper describe the characteristics, accumulation regularity, adsorption and desorption properties of shale gas which are different from conventional gas reservoir. Langmuir isotherm law and Fick diffusion law are used to established the desorption gas steady diffusion rate expression. Three research works have been done, first, established the production formula of fractured horizontal well based on the model of Genliang Guo rectangle fractured horizontal flow, fracture angle and desorption gas steady diffusion rate are employed to improve the production formula. Second, interact of fractures and desorption are considered, equivalent filtrational resistance is used to establish a capsule model of shale gas steady flow, a new production formula of fractured horizontal well in shale gas reservoir has been derived by the new flow model. At last, rationality of the two formulas has been proved by the calculation of programing based on the field data. Analysised the production influence of formation parameter, horizontal well drilling factors, fracturing effect and desorption gas steady diffusion rate. The production formula of fractured horizontal well in shale gas reservoir and the research of production influence can be used in productivity prediction of later period shale gas reservoir fractured horizontal development. It can also interpret the parameters selection of drilling and hydrofracture more accurately for shale gas reservoir. Optimization design of shale gas reservoir development mode can be improved by the production formula and effect factors research. Desorption gas steady diffusion rate computational method provided us with deeper research about years of stable production, proration, reasonable production system in shale gas reservoir development and how desorption affect production of fractured horizontal shale gas wells.

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