石油与天然气地质 ›› 2014, Vol. 35 ›› Issue (3): 431-434.doi: 10.11743/ogg20140319

• 油气开发 • 上一篇    下一篇

粘弹性流体在开口多孔介质中的热对流启动

舒晓晖1, 穆朗枫2,3, 牛骏1, 丁健4   

  1. 1. 中国石油化工股份有限公司, 北京 100083;
    2. 密苏里科技大学, 美国 罗拉密苏里州 65401;
    3. 中国石油大学, 北京 102249;
    4. 中国海油 伊拉克有限公司, 北京 100010
  • 收稿日期:2013-10-10 修回日期:2014-05-11 出版日期:2014-06-08 发布日期:2014-07-11
  • 作者简介:舒晓晖（1971- ），男，硕士、高级工程师，油气田开发。E-mail：shuxh@sinopec.com。
  • 基金资助:

    国家基础研究发展计划（“973”计划）项目（2012CB214802）。

Onset of thermal convection of a viscoelastic fluid in open-top porous media

Shu Xiaohui1, Mu Langfeng2,3, Niu Jun1, Ding Jian4   

  1. 1. China Petroleum & Chemical Corporation, Beijing 100083, China;
    2. Missouri University of Science and Technology, Rolla, Missouri 65401, U.S.A.;
    3. China University of Petroleum, Beijing 102249, China;
    4. China National Offshore Oil Corporation Iraq Company Limited, Beijing 100010, China
  • Received:2013-10-10 Revised:2014-05-11 Online:2014-06-08 Published:2014-07-11

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摘要：

对底部等温加热、上端开口多孔介质中粘弹性流体进行了线性稳定性分析。使用了修正后的Darcy定律用于描述粘弹性流体在多孔介质内的流动特征，并引入了等压边界条件描述开口特征。使用了特征松弛时间（λ）和延迟时间（ε）表征粘弹性流体性质，并选择了4组不同的（λ）和（ε）作为算例对热对流启动时的临界瑞利数进行了数值求解。结果显示，松弛时间的增大会使得流体更易失稳，从而提前热对流的启动；而延迟时间的增大则会起到稳定流动的作用，使得热对流启动推迟。流动模式仅与延迟时间有关。扰动温度等值线图显示，其样式与边长（a）和弹性参数有关。

关键词: 线性稳定性, 多孔介质, 粘弹性流体, 热对流

Abstract:

This paper performed a linear stability analysis for investigating the onset of oscillatory convection of a viscoelastic fluid in an open-top porous medium heated from below.The modified Darcy's law was used to describe the flow of the viscoelastic fluid in porous media and isobaric boundary conditions were introduced to describe the open features The relaxation time and retardation time were introduced to describe the viscoelastic behaviors.Four different combinations of and were selected to calculate the critical Rayleigh numbers corresponding to the onset of thermal convection.The results reveal that the increase of the relaxation time may make it easier to destabilize the flow,leading to an earlier onset of thermal convection.In contrast,the increase of retardation time tends to stabilize the flow and postpone the onset of convection.The flow mode is only related with retardation time.The pattern of temperature disturbance is influenced by the geometric scale of the porous media and the viscoelastic parameters.

Key words: thermal convection, viscoelastic fluid, porous media, linear stability

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