Abstract: In this paper,mathematical method (conform transformation,imaging,superposition principle, equivalent flow resistance)and physical simulation(dectrolytic model)are appliedto study the stead state flow for a horizontal well with multiple bore holes. The flow patternand the formulas for calculating productivity of this horizontal well are derived. In addition,the parameters that affect the productivity of this horizontal well are studied.The resuIt ofcalculation was compared with the experimental data on electrolytic model.The comparisonindicated that the formulas derived here have a high accuracy and can be used to predict theproductivity for a horizontal well with multiple branched boreholes in a practical reservoir.

Key words: horizontal well, productivity, analytic method, mathematical analysis, physical simulation

摘要： 综合运用数学分析方法(保角变换、镜像反映、叠加原理、等值渗流阻力)和物理模拟方法(电解模型)对分支水平井稳定渗流进行了较系统的研究.推得了分支水平井的流场分布和产能计算公式,并对影响分支水平井产能的因素进行了分析和研究.利用实验测试结果对分支水平井产能计算公式进行了检验.结果表明,解析解产能计算公式具有一定的精度,可用于实际油藏分支水平井的产能预测.

关键词: 水平井, 产能, 解析法, 数学分析, 物理模拟