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采用Green函数方法和Newman积方法求解了盒状砂岩油藏中水平井的不稳态压力解;给出了压力解的两种表达形式,并根据两种表达式中级数的收敛特征提出了压力解的快速计算方法;采用Laplace数值变换、Laplace数值反演及褶积积分公式考虑了井储和污染对水平井井底压力的影响,从而避免了求解复杂内边界条件的数学模型的问题;利用常规试井分析方法和自动拟合分析方法编制了水平井试井分析软件,并进行了实例分析。
The Green function method and Newman’s method are used to solve the unsteady pressure solution of horizontal wells in box-shaped sandstone reservoirs. Two expressions of pressure solution are given. According to the convergence characteristics of the intermediate stages in two expressions, The method of Laplace transform, Laplace inversion and convolution integral are adopted to consider the influence of wellbore and pollution on the bottom hole pressure of horizontal well, so as to avoid the problem of solving the mathematical model of complex internal boundary conditions. Conventional well test analysis method and automatic fitting analysis method of horizontal well test analysis software, and an example analysis.