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考虑变启动压降的低渗气藏压裂井产能分析
Productivity capacity analysis of a fractured well in low-permeability gas reservoirs considering variable threshold pressure drop
孟令强
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作者单位:西南石油大学
中文关键字:低渗气藏 启动压力梯度 压裂井 保角变换 产能方程
英文关键字:low-permeability gas reservoir; threshold pressure gradient; hydraulically fractured well; conformal transformation principle; deliverability equation
中文摘要:低渗气藏大部分井产能较低,一般对其进行压裂改造才具有工业产能。同时,气体在低渗透储层中渗流时一般受到启动压力梯度的影响,但是目前描述低渗气藏压裂井的产能方程大多没有考虑启动压降,或考虑了其影响,也均认为由启动压力梯度引起的启动压降为常数。为此,基于保角变换原理,将低渗气藏压裂井的复杂渗流问题转化为简单的单向流问题,然后从考虑启动压力梯度影响的低渗气藏非达西稳定渗流微分方程出发,推导了启动压降的表达式,分析得出启动压降并非常数,而与地层压力的分布有关,最终利用定积分的近似解法解出启动压降,从而得到了考虑变启动压降的低渗气藏压裂井的产能方程,利用该产能公式分析认为启动压力梯度对产能的影响不可忽略。经现场实例应用表明,提出的新产能方程具有使用价值。
英文摘要:The productivity capacity is low for most of wells in the low-permeability gas reservoir, which needs to be stimulated by fracturing to gain industrial production capacity. Meanwhile, the gas flow in the low-permeability gas reservoirs is influenced by the threshold pressure gradient. Nevertheless, threshold pressure drop is not taken into account in many deliverability equations of hydraulically fractured well in such reservoirs, or some deliverability equations regards threshold pressure drop as constant. Based on the conformal transformation principle, the complex seepage problem of hydraulically fractured gas wells is converted into the simple one-way flow problem. According to non-Darcy stable seepage differential equation influenced by the threshold pressure gradient, the threshold pressure drop formula is deduced, concludes that the threshold pressure drop is not constant, and is relative to distribution of formation pressure. Lastly, the threshold pressure drop is gained by use of the definite integral approximate solution, thus the deliverability equation influenced by the variable threshold pressure drop is deduced for the hydraulically fractured wells in the low-permeability gas reservoirs. The threshold pressure gradient on the influence of the productivity capacity cannot be ignored by use of the new deliverability equation. The practical examples of field show that the proposed new productivity equation has the use value.
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国内统一连续出版物号:CN51-1159/TE |国内发行代码: |国际标准出版物号:ISSN1673-3177 |国际发行代码:
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