提高babu水平井产能方程精度的修正

The Modification for Improving the Precision of the Babu Horizontal Productivity Equation

在使用babu水平井产能方程进行各方向渗透率对产能影响的分析时,发现所得出的关系曲线是不连续的,这与产能方程求出的连续解析解相矛盾,更重要的是在实际运用中因为出现这个不连续的分段会对计算结果产生十分大的影响。重新回顾了babu模型的建立及计算,并发现babu对解析解中的一些二次和三次叠加求和的无穷级数项进行了代数简化。在简化的过程中出现了分段的解析式,从而导致计算结果的不连续。提出解决方案是直接对二次和三次求和的无穷级数项进行编程计算,跳过简化的步骤,从计算结果上看,很好地解决了这一问题;继而给出了更加精确的babu产能预测公式。

When babu horizontal well production equation was used in analysis on the influence of permeability to deliverability,it was found that the relationship between permeabilty and deliverabilty was discontinuous,it＇ s contradictory to continuous analytical solution.Most important,this discontinuous relationship would bring us big error in practice.Then the establishment and calculation of babu deliverablity equation with this problem was reviewed,and the reason for this problem was found：babu simplified some double sum and trible sum infinite series in the function,in the process of the simplification he assumed a subsection which lead the discontinuous result.For this problem a solution that directly conducting program calculation to those double sum and trible sum infinite series was proposed,in order to aviod the simplification.From the calculation result,the problem was solved,and then a more accurate babu horizontal well production equation was obtained.