基于共形映射的裂缝井流动问题研究  

Flow study of fractured well based on conformal mapping

作　　者：康浩 宋新民[2] 戴鹍 雷征东[2] 高建[2] 孙永彪 聂婷婷 KANG Hao;SONG Xinmin;DAI Kun;LEI Zhengdong;GAO Jian;SUN Yongbiao;NIE Tingting(College of Engineering,Hebei Normal University,Shijiazhuang 050024,China;Research Institute of Petroleum Exploration and Development(PetroChina),Beijing 100083,China;China University of Petroleum(Beijing),Beijing 102249,China)

机构地区：[1]河北师范大学中燃工学院,河北石家庄050024 [2]中国石油勘探开发研究院,北京100083 [3]中国石油大学(北京),北京102249

出　　处：《中国矿业》2021年第3期167-171,共5页China Mining Magazine

基　　金：河北省教育厅科技项目资助(编号:QN2018158);河北师范大学科技类基金项目资助(编号:L2017B21)。

摘　　要：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。Concerning people s rising requirements for energy,it is important to realize the efficient development of oil and gas reservoir.Facing the complicated seepage problems of low permeability,high water cut,unconventional reservoirs and so on,it is essential to pay more attention to the fundamental solution methods,thus promote innovation of seepage calculation,well test,reservoir simulation techniques and so on,and finally to improve the calculation speed and accuracy for oil and gas reservoir development greatly.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 and flow field distribution,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,the same results are obtained and the effectiveness of the two transformation methods are proved.Actually,study of fractured well can be very good references for production study of horizontal wells with multi-stage fracturing and stimulated reservoir volume.

关 键 词：水平井 保角变换 产能 等势线 流线 

分 类 号：TE357[石油与天然气工程—油气田开发工程]