The　production　efficiency　of　shale　gas　is　affected　by　the　interaction　between　hydraulic　and　natural　fractures.This　study　presents　a　simulation　of　natural　fractures　in　shale　reservoirs,based　on　a　discrete　fracture　network(DFN)method　for　hydraulic　fracturing　engineering.Fracture　properties　of　the　model　are　calculated　from　core　fracture　data,according　to　statistical　mathematical　analysis.The　calculation　results　make　full　use　of　the　quantitative　information　of　core　fracture　orientation,density,opening　and　length,which　constitute　the　direct　and　extensive　data　of　mining　engineering.The　reliability　and　applicability　of　the　model　are　analyzed　with　regard　to　model　size　and　density,a　calculation　method　for　dominant　size　and　density　being　proposed.Then,finite　element　analysis　is　applied　to　a　hydraulic　fracturing　numerical　simulation　of　a　shale　fractured　reservoir　in　southeastern　Chongqing.The　hydraulic　pressure　distribution,fracture　propagation,acoustic　emission　information　and　in　situ　stress　changes　during　fracturing　are　analyzed.The　results　show　the　application　of　fracture　statistics　in　fracture　modeling　and　the　influence　of　fracture　distribution　on　hydraulic　fracturing　engineering.The　present　analysis　may　provide　a　reference　for　shale　gas　exploitation.