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根据页岩气储层纳微米孔隙和微裂缝结构特征,建立含微裂缝表面层基质-裂缝双重介质球形模型.综合考虑扩散和滑移对页岩气产能的影响,利用Langmuir等温吸附方程描述页岩气的解吸吸附,通过Laplace变换和Stehfest数值反演,得到页岩气藏压裂井定产和定压条件下的井底流压和产量的解析解,并进行页岩气藏压裂井产能预测及影响因素分析.结果表明:微裂缝是页岩气基质微观孔隙和宏观裂缝运移的主要渗流通道;微裂缝的渗透率越大和长度越长,页岩气井产量越大.
According to the characteristics of nanocavity pores and micro-cracks in shale gas reservoirs, a matrix-fractured double media spherical model with microcrack surface layers is established.By considering the effect of diffusion and slippage on shale gas production capacity, the Langmuir Isothermal Adsorption Equation Through the Laplace transform and Stehfest numerical inversion, the analytic solution of bottom hole flow pressure and output at fixed and fixed pressure of shale gas reservoirs is obtained, and the productivity of fracturing wells in shale gas reservoirs Prediction and influencing factors.The results show that micro-fracture is the main seepage channel of micro-pore and macro-fracture migration of shale gas matrix. The larger the micro-fracture permeability and the longer the length, the larger the production of shale gas wells.