A novel steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs

• 作 者: Zhang Liehui Zhao Yulong Liu Z
• 机 构: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,School of Science
• 出 处: 石油科学（英文版）
• 发表日期: 2004年期
• 关键词: Horizontal well point-source function bottom water driver gas reservoir steady-s
• 基金项目: the Open Fund;State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation(Southwest Petroleum University);the National Science and Technology Major Project in the 1 lth Five-Year Plan

It is known that there is a discrepancy between field data and the results predicted from the previous equations derived by simplifying three-dimensional(3-D)flow into two-dimensions(2-D).This paper presents a new steady-state productivity equation for horizontal wells in bottom water drive gas reservoirs.Firstly,the fundamental solution to the 3-D steady-state Laplace equation is derived with the philosophy of source and the Green function for a horizontal well located at the center of the laterally infinite gas reservoir.Then,using the fundamental solution and the Simpson integral formula,the average pseudo-pressure equation and the steady-state productivity equation are achieved for the horizontal section.Two case-studies are given in the paper,the results calculated from the newly-derived formula are very close to the numerical simulation performed with the Canadian software CMG and the real production data,indicating that the new formula can be used to predict the steady-state productivity of such horizontal gas wells.