石油学报 ›› 1986, Vol. 7 ›› Issue (2): 63-73.DOI: 10.7623/syxb198602009

• 油田开发 • 上一篇    下一篇

无因次IPR曲线通式的推导及线性求解方法

陈元千   

  1. 北京石油勘探开发科学研究院
  • 收稿日期:1985-08-21 出版日期:1986-04-25 发布日期:2013-07-08

THE DERIVATION OF A GENERAL FORMULA FOR DIMENSIONLESS IPR CURVES AND THE METHOD OF LINEAR SOLUTION

Chen Yuanqian   

  1. Research Institute of Petroleum Exploration and Development, Beijing
  • Received:1985-08-21 Online:1986-04-25 Published:2013-07-08

摘要: 由Vogcl提供的溶气驱井的无因次IPR曲线,是预测油井产能的非常重要的工具。目前,Vogel方程已被推广到未饱和油藏和水驱油藏的产水油井。但是,Vogcl方程仅只适用于理想井(即没有正的或负的表皮系数)和开采初期的条件。

关键词: 无因次, 求解方法, 油井, 曲线图, 高于饱和压力, 压力恢复曲线, 采出程度, 未饱和油藏, 井底流动压力, 溶气驱

Abstract: The dimensionless IPR (Inflow performance relationship) Curves for a solution gas drive wells presented by Vogel is a very important tool in predicting productivity. At present, the use of Vogel's equation has been expanded to undersaturated reservoirs P_b) and water producing wells in water drive reservoirs. But Vogel's equation can be only used for an "ideal" well (a well without any negative or positive skin factor) and in a stage of primary production. For real wells (damaged or stimulated wells), Standing has developed a modified form to Vogel's equation and presented a set of dimensionless IPR Curves for different flow efficiencies. Richardson and Shaw presented another modified form of Vogel's equation with a parameter V replacing the constant coefficient in Vogel's equation by taking the degree of recovery into consideration. But they do not give a method to determine the value of V. A general formula of the dimensionless IPR Curves is formulated in this paper by combining the above 3 formula together and is linearized against the bottom hole flowing pressure. A method of determining the parameter V is presented, thus the formula can be solved easily and reasonably giving a practical application to the formula. Two examples presented in this paper illustrate that this formula can be used to determine both the maximum productivity and the production rates of a well under different bottom hole flowing pressures.