【摘要】 描述了水平方向存在断层的二维不稳定渗流数学模型,用Green函数方法和叠加原理导出了水平井不稳态压力解;给出了压力解的两种形式,通过引入一个新函数,提出了压力解的快速计算方法;通过Laplace变换、Stehfest数值反演求出实空间的水平井井底压力,避免了求解复杂内边界条件的数学模型的问题。利用MATLAB编程绘制了压力图版,分析了断层对水平井井底压力的影响。更多还原

【Abstract】 Two-dimensional unstable percolation mathematical model existing at the horizontal direction fault is described,and by using Green’s function method and the superposition principle,the unstable pressure solution for horizontal well is derived and two forms of that are given.By introducing a new function,a fast solution method of calculating pressure is proposed;and by the Laplace transform,numerical inversion of Stehfest,down-hole pressure for horizontal well at real space is solved,avoiding the complex mathematical model of the inner boundary condition problem.By using MATLAB programming to Plot pressure plate,the influence of fault on well bottom pressure of the horizontal well is analyzed.更多还原