基于共形映射的裂缝井流动问题研究
投稿时间:2019-10-01  修订日期:2020-10-14  点此下载全文
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康浩 河北师范大学 050000
中文摘要: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,因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,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,最后进行了实例计算,验证了求解的正确性。裂缝井流动问题的研究也能对水平井和压裂井的渗流机理、产能规律和适用条件等方面的研究起到积极的借鉴作用。
中文关键词:水平井  保角变换  产能  等势线  流线
 
Flow Study of Fractured Well Based on Conformal Mapping
Abstract: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.
keywords:horizontal well  conformal transformation  productivity  equipotential line  flow line
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