基于共形映射的裂缝井流动问题研究

随着人们对能源需求的日益迫切,更要求对油气田进行高效合理的开发。面对低渗透、高含水、非常规等越来越复杂的渗流问题,应该通过加强对渗流基础求解方法的研究,推动渗流、试井、数模等手段的革新,从而大大提升油气田开发计算问题的速度和精度。共形映射能够将复杂区域(坐标平面)上的工程问题转换到简单区域(坐标平面)上去讨论,从而大大降低了问题的难度。本文运用共形映射的相关理论,针对裂缝井的渗流问题,从流场分布的角度研究了映射前后流线和等势线的对应情况,并且用两种变换方法分别求解得出了裂缝井的产量,两种计算结果一致,验证了求解的正确性。裂缝井流动问题的研究也能为水平井多级压裂、体积压裂等复杂流场下的产能计算提供参考。

Flow Study of Fractured Well Based on Conformal Mapping

Conformal mapping can transform the complex areas(coordinate planes) into simple areas(coordinate planes), thus greatly reduce the complexity of engineering problems. By using the relative theories of conformal mapping, this paper studies the equipotential lines and flow lines before and after mapping for fractured well, and then two transformation methods are used to calculate the productivity of the fractured well. Finally, a case study is carried out and the effectiveness of the two transformation methods are proved. Actually, study of fractured well can be very good references for flow analysis, productivity law and applicability study of horizontal wells and fracturing wells.