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考虑气体加速效应的高压气井产能方程推导及其应用

姜海龙 朱培旺 徐东华

姜海龙, 朱培旺, 徐东华. 考虑气体加速效应的高压气井产能方程推导及其应用[J]. 应用数学和力学, 2020, 41(2): 134-142. doi: 10.21656/1000-0887.400030
引用本文: 姜海龙, 朱培旺, 徐东华. 考虑气体加速效应的高压气井产能方程推导及其应用[J]. 应用数学和力学, 2020, 41(2): 134-142. doi: 10.21656/1000-0887.400030
JIANG Hailong, ZHU Peiwang, XU Donghua. Derivation and Application of Productivity Equations for High-Pressure Gas Reservoirs With Gas Acceleration Effects[J]. Applied Mathematics and Mechanics, 2020, 41(2): 134-142. doi: 10.21656/1000-0887.400030
Citation: JIANG Hailong, ZHU Peiwang, XU Donghua. Derivation and Application of Productivity Equations for High-Pressure Gas Reservoirs With Gas Acceleration Effects[J]. Applied Mathematics and Mechanics, 2020, 41(2): 134-142. doi: 10.21656/1000-0887.400030

考虑气体加速效应的高压气井产能方程推导及其应用

doi: 10.21656/1000-0887.400030
基金项目: 陕西省自然科学基础研究计划(2019JQ-403;2017JQ5114)
详细信息
    作者简介:

    姜海龙(1989—),男,讲师,博士(通讯作者. E-mail: jianghl_xapi@126.com).

  • 中图分类号: O35

Derivation and Application of Productivity Equations for High-Pressure Gas Reservoirs With Gas Acceleration Effects

  • 摘要: 高压气体径向渗流中气体加速效应非常显著,因此传统二项式或三项式产能方程中的非Darcy项不能反映带有气体加速效应的非Darcy渗流特征.气体加速效应影响的忽略导致无阻流量计算的误差增大,不利于合理产能和开发方案的确定.采用考虑了气体加速效应的高压气体运动方程,通过质量守恒方程、真实气体状态方程和气体运动方程,推出考虑加速效应的高压气井产能新方程,此方程同样可反映传统的二项式产能方程,提高了无阻流量的预测精度.由于此方程没有解析解,采用类比法进行简化,再利用试凑法,求解此产能方程的相关系数.为了验证准确性,将该方程应用到了四川盆地高压气藏西351井的试井资料中,其解释结果与陈春燕和罗银富等所得结果进行对比分析,结果表明该方法所获得的产能精度明显提高,并且能够消除随着压差增大而产能相对误差增大的弊端,更加有利于高压气井无阻流量的精确计算.研究结果丰富了高压气井产能预测方法,同时无阻流量的准确计算保障了高压气井合理产能的确定.
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出版历程
  • 收稿日期:  2019-01-14
  • 修回日期:  2019-04-15
  • 刊出日期:  2020-02-01

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