为了在页岩气体上调查影响很好,生产率在纳米尺寸毛孔由煤气的运输引起了,在页岩气体水库的多级式的折断的水平井的一个数学模型被造,它考虑影响粘滞流动, Knudsen 散开,表面散开,和吸附层厚度。一个分离破裂的模型被用来简化当模特儿的破裂,并且一个有限元素方法被使用解决模型。数字模拟结果显示与在内在的矩阵渗透的减少,对生产的 Knudsen 散开和表面散开贡献变得大并且不能被忽略。nanopore 表面上的吸附层的存在减少有效毛孔半径和有效的孔,导致从折断的水平井的低生产。与在毛孔半径的减少,就吸附层而言,生产减小率增加。当毛孔半径是不到 10nm 时,因为 Knudsen 散开,表面散开,和吸附层的联合影响,多级式的折断的水平井的生产在毛孔压力与减少增加。当毛孔压力比 30MPa 低时,生产增加的率在毛孔压力与减少变得更大。
In order to investigate the influence on shale gas well productivity caused by gas transport in nanometer- size pores, a mathematical model of multi-stage fractured horizontal wells in shale gas reservoirs is built, which considers the influence of viscous flow, Knudsen diffusion, surface diffusion, and adsorption layer thickness. A dis- crete-fracture model is used to simplify the fracture mod- cling, and a finite element method is applied to solve the model. The numerical simulation results indicate that with a decrease in the intrinsic matrix permeability, Knudsen diffusion and surface diffusion contributions to production become large and cannot be ignored. The existence of an adsorption layer on the nanopore surfaces reduces the effective pore radius and the effective porosity, resulting in low production from fractured horizontal wells. With a decrease in the pore radius, considering the adsorption layer, the production reduction rate increases. When the pore radius is less than 10 nm, because of the combined impacts of Knudsen diffusion, surface diffusion, and adsorption layers, the production of multi-stage fractured horizontal wells increases with a decrease in the pore pressure. When the pore pressure is lower than 30 MPa, the rate of production increase becomes larger with a decrease in pore pressure.