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本文新型构建了一种采用分支井进行煤层气开采的数学模型,此项模型系统考虑了渗透率、孔隙度等形成的压力敏感性影响以及井筒加速降压和摩擦压降等产生的影响,并分差离散数学模型,构建了数值模型,通过运用预处理共轭梯度法、循环迭代方法对井筒压力方程组、地层压力进行求解,然后编写出相应的模拟程序,经计算,对渗透率、等温吸附常数、吸附时间等参数信息产生的分支井产量影响进行了探讨分析。
In this paper, a new type of mathematical model for coalbed methane mining with branch wells is constructed. The model considers the effects of pressure sensitivity such as permeability and porosity, as well as the effects of wellbore buck and friction pressure drop. The discrete mathematical model is divided into two parts and the numerical model is established. The preconditioned conjugate gradient method and cyclic iteration method are used to solve the wellbore pressure equations and formation pressure. Then the corresponding simulation program is compiled. The permeability, isothermal Adsorption constant, adsorption time and other parameters of the information generated by the branch wells to explore the impact of production and analysis.