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气藏水平井非达西流动二项式产能试井公式

NON-DARCY BINOMIAL DELIVERABILITY TESTING FORMULA OF HORIZONTAL GAS WELLS

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【作者】 张黔川吕涛吕劲

【Author】 Zhang Qianchuan, Lü Tao, Lü Jing (Mathematical College of Sichuan University, Petroleum Department of Canadian Calgary University)

【机构】 四川大学数学学院加拿大卡尔加里大学石油系

【摘要】 文章依据气藏水平井湍流仅发生在井附近短半轴小于10倍井半径的旋转椭球体内,而此椭球体外的流动是达西流动,可以使用水平井达西流的各种地层边界条件下的产能公式的特点,研究了高速气体向水平井流动的非达西流二项式产能公式。水平井二项式产能公式是基于气藏被分为达西流动区域和非达西流动区域二部分的公式组合,借助对水平井系列研究成果及非达西流压力梯度的二项式公式,导出了气藏水平井新型产能公式。这些新公式充分考虑了水平气井的特点,较之其它文献,如据Joshi公式导出的气藏水平产能公式,更能准确地反映水平井的渗流规律。

【Abstract】 According to the characteristics i.e. the turbulence of horizontal gas wells happens only in the rotary ellipsoid with the short semi axis less than 10 radius of the well bore and the flow outside the ellipsoid fits the Darcy’s law, so that the deliverability formula can be used under the various formation boundary conditions for Darcy flow of horizontal wells, the non-Darcy binomial deliverability formula is studied for speed gas to flow into the horizontal wells. Since the gas reservoir is divided into 2 parts of Darcy flow and non Darcy flow, the binomial deliverability formula of horizontal wells is the combination of the 2 parts’ formulas. With the study results for horizontal wells and the binomial pressure gradient formula of non Darcy flow, a new deliverability formula of horizontal gas wells is derived. Comparing the other formulas, such as the deliverability formula of horizontal gas wells derived by Joshi’ formula, the new formula taking the characteristics of horizontal gas wells into full consideration can describe the percolation law of horizontal gas wells more accurately.

【关键词】 气藏水平井非达西流产能方程
【Key words】 Gas reservoirHorizontal wellsNon-Darcy flowProductivityEquation.
【基金】 四川省高校重点实验室、天然气开采实验室开放基金(012)资助。
  • 【文献出处】 天然气工业 ,Natural Gas Industry , 编辑部邮箱 ,2004年10期
  • 【分类号】TE373
  • 【被引频次】56
  • 【下载频次】908
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