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结合我国南方海相页岩气藏的实际,针对页岩气藏的特殊孔隙结构及多尺度流动的特征,首先由Knudsen数判断出储层主体流态为滑移流,并指出页岩气在页岩多孔介质中的传输过程是一个等温过程.然后修正了Beskok-Karniadakis二阶近似模型,建立了致密页岩气直井平面径向非稳态非线性渗流问题的数学模型.进一步应用玻尔兹曼变换将问题简化,并给出了求解压力场的数值离散显式迭代格式.最后数值计算得到了内边界定压条件下直井的压力场随时间、空间分布曲线,预测了产量随时间变化的规律,并分析了解吸、滑移和扩散效应对产量的影响.
According to the actual shale gas reservoirs in southern China, aiming at the special pore structure and multi-scale flow characteristics of shale gas reservoirs, the Knudsen number is firstly used to determine the main flow regime of the reservoir as a slip stream, The transmission process in porous media of shale is an isothermal process, then the Beskok-Karniadakis second-order approximation model is modified to establish the mathematical model of the plane radial unsteady nonlinear seepage problems in dense shale gas vertical wells, Man-Transform simplifies the problem and gives a numerical discrete explicit iterative scheme for solving the pressure field.Finally, the pressure field of the vertical well under the fixed pressure of the inner boundary is obtained with time and space distribution curve, and the output of the vertical well is predicted Law and analyzed the effect of desorption, slippage and diffusion on yield.