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页岩气滑脱、扩散传输机理耦合新方法

李亚雄 刘先贵 胡志明 高树生 端祥刚 常进

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页岩气滑脱、扩散传输机理耦合新方法

李亚雄, 刘先贵, 胡志明, 高树生, 端祥刚, 常进

A new method for the transport mechanism coupling of shale gas slippage and diffusion

Li Ya-Xiong, Liu Xian-Gui, Hu Zhi-Ming, Gao Shu-Sheng, Duan Xiang-Gang, Chang Jin
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  • 针对页岩气流动计算中所用耦合机理不同的现状,且为了厘清滑脱和各种扩散之间的关系,首先采用理论分析和数学模型的方法,根据定义和微观运动机制对滑脱和各种扩散进行了分析,然后在考虑吸附层页岩气分子所占空间对气体流动影响的情况下,提出了“壁联扩散”的概念来表征克努森扩散和表面扩散的总效应,并指出壁联扩散和滑脱效应等同,由此提出了壁联扩散和滑脱效应在流动计算中可互换而不重复叠加的耦合新方法.实例验证表明,当毛细管半径从5 nm增大到2000 nm,壁联扩散和滑脱效应的质量通量相对误差较小,在绝大部分范围内都小于10%,且在整个孔径范围内两者平均值相差1.4×10-6kg·m-2·s-1,即平均值的相对误差仅为5.8%,该方法可以满足工程计算的需要.考虑到参数选取、机理数学模型有待完善等方面的影响,新方法的论证存在进一步提升的空间.壁联扩散的提出具有实际开发意义和多重研究意义,耦合新方法的提出阐明了滑脱和各种扩散之间的关系,防止了页岩纳米级孔隙中流动机理的重复叠加,能较好改变页岩气流动计算耦合方法不一致的现状,为页岩气开发定量计算指明新方向.
    In view of the current status that different literature applies different coupling methods to the calculation of shale gas flow, and in order to clarify the relation between slippage and several diffusions, in this paper the slippage effect and various diffusions are analyzed first by theoretical analysis and mathematical models according to the definitions and the mechanisms of microscopic motions. Afterwards, allowing for the spatial effect of the adsorbed molecules on gas flow, the concept “wall-associated diffusion” is proposed for the first time to represent the gross effects of Knudsen diffusion and surface diffusion, and it is pointed out that wall-associated diffusion is equivalent to slippage effect. Therefore a new coupling way where wall-associated diffusion and slippage effect are replaceable and no superposition of them is needed in flow calculation, is proposed. The case study shows that when the capillary radius ranges from 5 nm to 2000 nm, the relative error between wall-associated diffusion and slippage effect mass flux is fairly small, namely less than 10% in the vast majority of the range. The difference between mean values of wall-associated diffusion and slippage effect mass flux in the whole aperture range is 1.4×10- 6 kg·m-2·s-1. That is, the relative error between the mean values is only 5.8%. Therefore, the new method satisfies the requirements for engineering calculations. Taking parameter selection, unfinished improvements in mathematical models of relevant mechanisms and other factors into account, there is some room for further promoting the verification of the proposed method. The development of wall-associated diffusion has practical significance and multiple research significance. And the new coupling way reveals the relation between slippage and diffusions, which prevents reduplicated superposition of shale gas flow mechanisms in nano-scale pores and can well change the status where the current coupling methods for shale gas flow are not consistent, thus specifying a new direction in the quantitative calculations for shale gas development.
      通信作者: 李亚雄, 18510284051@163.com
    • 基金项目: 国家重点基础研究发展计划(批准号:2013CB228000)资助的课题.
      Corresponding author: Li Ya-Xiong, 18510284051@163.com
    • Funds: Project supported by the National Basic Research Program of China (Grant No. 2013CB228000).
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  • [1]

    Zhang L H, Guo J J, Tang H M 2014 Development Foundation of Shale Gas Reservoir (1st Ed) (Beijing: Petroleum Industry Press) p1, pp61-63, p84 (in Chinese) [张烈辉, 郭晶晶, 唐洪明 2014 页岩气藏开发基础(第一版)(北京:石油工业出版社) 第1页, 第61-63页, 第84页]

    [2]

    Deng J, Zhu W Y, Liu J X, Zhang Z, Ma Q, Zhang M, Deng K, Ma L 2013 Nat. Gas Geosci. 24 456 (in Chinese) [邓佳, 朱维耀, 刘锦霞, 张贞, 马千, 张萌, 邓凯, 马丽 2013 天然气地球科学 24 456]

    [3]

    Yin D Y, Wang D Q, Zhang C L, Duan Y J 2015 Open Pet. Eng. J. 8 203

    [4]

    Deng J, Zhu W, Ma Q 2014 Fuel 124 232

    [5]

    Zhu W Y, Qi Q 2016 Sci. Sin. Technol. 46 111 (in Chinese) [朱维耀, 亓倩 2016 中国科学: 技术科学 46 111]

    [6]

    Lin M, Jiang W B, Li Y, Yi Z X, Zhang Z B 2015 Bull. Mineral. Petrol. Geochem. 34 18 (in Chinese) [林缅, 江文滨, 李勇, 易智星, 张召彬 2015 矿物岩石地球化学通报 34 18]

    [7]

    Yao T Y, Huang Y Z, Li J S 2012 Chin. J. Theor. Appl. Mech. 44 990 (in Chinese) [姚同玉, 黄延章, 李继山 2012 力学学报 44 990]

    [8]

    Jiang B Y, Li Z P, Diwu P X, Liu G, Wang J N, Gan H H 2014 Sci. Technol. Eng. 14 58 (in Chinese) [姜宝益, 李治平, 第五鹏祥, 刘刚, 王建宁, 甘火华 2014 科学技术与工程 14 58]

    [9]

    Swami V, Settari A 2012 SPE Americas Unconventional Resources Conference Pittsburgh, USA, June 5-7, 2012 p1

    [10]

    Javadpour F, Fisher D, Unsworth M 2007 J. Can. Petrol. Technol. 46 55

    [11]

    Javadpour F 2009 J. Can. Petrol. Technol. 48 16

    [12]

    Shabro V, Torres-Verdin C, Sepehrnoori K 2012 SPE Annual Technical Conference and Exhibition San Antonio, USA, October 8-10, 2012 p1

    [13]

    Wu K, Li X, Wang C C, Chen Z X, Yu W 2015 AlChE J. 61 2079

    [14]

    Wu K L, Li X F, Chen Z X 2015 Acta Petrol. Sin. 36 837 (in Chinese) [吴克柳, 李相方, 陈掌星 2015 石油学报 36 837]

    [15]

    Haghshenas B, Clarkson C R, Chen S 2013 SPE Unconventional Resources Conference Calgary, Canada, November 5-7, 2013 p1

    [16]

    Song H Q, Liu Q P, Yu M X, Wu P, Zhang Y 2014 J. Univ. Sci. Technol. Beijing 36 139 (in Chinese) [宋洪庆, 刘启鹏, 于明旭, 吴鹏, 张雨 2014 北京科技大学学报 36 139]

    [17]

    Mi L D, Jiang H Q, Li J J 2014 J. Natur. Gas Sci. Eng. 20 74

    [18]

    Mi L D, Jiang H Q, Li J J, Tian Y 2014 Acta Petrol. Sin. 35 928 (in Chinese) [糜利栋, 姜汉桥, 李俊键, 田野 2014 石油学报 35 928]

    [19]

    Ai S, Cheng L S, Huang S J, Fu L B, Wang T, Du B J, Zhang J, Liu H J 2014 Nat. Gas Geosci. 25 166 (in Chinese) [艾爽, 程林松, 黄世军, 傅礼兵, 王涛, 杜保健, 张晋, 刘红君 2014 天然气地球科学 25 166]

    [20]

    Li Y, Li X, Shi J, Wang H, Wu L 2014 SPE Biennial Energy Resources Conf. Port of Spain, Trinidad, June 9-11, 2014 p1

    [21]

    Jia P, Cheng L S, Huang S J, Xue Y C 2015 SPE Asia Pacific Unconventional Resources Conference and Exhibition Brisbane, Australia, November 9-11 2015 p1

    [22]

    Zhou X, Zhang S C, Ma X F, Zhang Y 2015 Xinjiang Petrol. Geol. 36 612 (in Chinese) [周祥, 张士诚, 马新仿, 张烨 2015 新疆石油地质 36 612]

    [23]

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    [24]

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    [25]

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    [26]

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    [27]

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    [30]

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    [40]

    Ren N, Shu L, Hu Y Q, Zhao J Z 2014 J. Southwest Petrol. Univ. (Sci. Technol Ed.) 36 111 (in Chinese) [任岚, 舒亮, 胡永全, 赵金洲 2014 西南石油大学学报(自然科学版) 36 111]

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    [42]

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出版历程
  • 收稿日期:  2016-10-17
  • 修回日期:  2017-03-31
  • 刊出日期:  2017-06-05

页岩气滑脱、扩散传输机理耦合新方法

  • 1. 中国科学院大学, 北京 100049;
  • 2. 中国科学院渗流流体力学研究所, 廊坊 065007;
  • 3. 中国石油勘探开发研究院廊坊分院, 廊坊 065007
  • 通信作者: 李亚雄, 18510284051@163.com
    基金项目: 国家重点基础研究发展计划(批准号:2013CB228000)资助的课题.

摘要: 针对页岩气流动计算中所用耦合机理不同的现状,且为了厘清滑脱和各种扩散之间的关系,首先采用理论分析和数学模型的方法,根据定义和微观运动机制对滑脱和各种扩散进行了分析,然后在考虑吸附层页岩气分子所占空间对气体流动影响的情况下,提出了“壁联扩散”的概念来表征克努森扩散和表面扩散的总效应,并指出壁联扩散和滑脱效应等同,由此提出了壁联扩散和滑脱效应在流动计算中可互换而不重复叠加的耦合新方法.实例验证表明,当毛细管半径从5 nm增大到2000 nm,壁联扩散和滑脱效应的质量通量相对误差较小,在绝大部分范围内都小于10%,且在整个孔径范围内两者平均值相差1.4×10-6kg·m-2·s-1,即平均值的相对误差仅为5.8%,该方法可以满足工程计算的需要.考虑到参数选取、机理数学模型有待完善等方面的影响,新方法的论证存在进一步提升的空间.壁联扩散的提出具有实际开发意义和多重研究意义,耦合新方法的提出阐明了滑脱和各种扩散之间的关系,防止了页岩纳米级孔隙中流动机理的重复叠加,能较好改变页岩气流动计算耦合方法不一致的现状,为页岩气开发定量计算指明新方向.

English Abstract

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