收稿日期: 2015-03-25
修回日期: 2015-07-13
网络出版日期: 2016-01-10
基金资助
中国石油天然气集团公司重大专项(编号:2011E-2504)资助.
Application of point sink discretization in the productivity evaluation of fractured horizontal well
Received date: 2015-03-25
Revised date: 2015-07-13
Online published: 2016-01-10
在裂缝离散的基础上，应用无限大地层点汇位势理论、势叠加原理及矩阵变换方法，同时考虑裂缝的有限导流，推导了单裂缝压裂水平井和多裂缝压裂水平井产能计算线性方程组，利用数值分析方法获得了每条裂缝产量及水平井总的产量，并在此基础上进行了压裂水平井产能影响因素分析。结果表明:压裂水平井初期产能高，产量下降快，之后逐步趋于平缓，且外部裂缝产量高于内部裂缝；压裂水平井产能受多种因素的综合影响，其中裂缝条数和裂缝无因次导流能力对压裂水平井产能影响最大，其次是裂缝缝长，最后是裂缝与水平井筒夹角。相比以往的压裂水平井产能公式，该公式形式简洁，每一项物理意义明确,易于理解。通过与经典的源函数方法计算结果进行对比证明该公式及算法的可靠性和适用性。
何军，范子菲，赵伦，宋珩，李孔绸，孔璐琳 . 点汇离散法在压裂水平井产能评价中的应用[J]. 天然气地球科学, 2016 , 27(1) : 134 -141 . DOI: 10.11764/j.issn.1672-1926.2016.01.0134
Based on fracture discretization,applying the potential theory and the superposition principle of infinity formation and the method of matrix transformation,horizontal productivity formulas with a single fracture and multiple fractures were derived out,which considered the fracture conductivity.Productivity equations were solved numerically and the total productivity was obtained by adding the productivity of each fracture.Then the effects of some parameters on the productivity were analyzed.The results show that fractured horizontal well has a high productivity and a sharp drop during initial period,and the productivity tends to be steady.The outer fractures have higher productivities compared with the inner fractures.The productivity is mostly affected by the number of fractures and dimensionless fracture conductivity,and secondly by the fracture length,and least by the angles of horizontal wellbore and fractures.Finally,compared to the previous productivity formulas of fractured horizontal wells,the formula in the paper has a concise form which is easy to be understood,and each item in the formula has a definite physical meaning.The reliability and practicability of the formula in the paper are confirmed in comparison to the well-known source function method.
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