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    多尺度多孔介质有效气体输运参数的分形特征

    徐鹏 李翠红 柳海成 邱淑霞 郁伯铭

    徐鹏, 李翠红, 柳海成, 邱淑霞, 郁伯铭, 2017. 多尺度多孔介质有效气体输运参数的分形特征. 地球科学, 42(8): 1373-1378. doi: 10.3799/dqkx.2017.104
    引用本文: 徐鹏, 李翠红, 柳海成, 邱淑霞, 郁伯铭, 2017. 多尺度多孔介质有效气体输运参数的分形特征. 地球科学, 42(8): 1373-1378. doi: 10.3799/dqkx.2017.104
    Xu Peng, Li Cuihong, Liu Haicheng, Qiu Shuxia, Yu Boming, 2017. Fractal Features of the Effective Gas Transport Coefficient for Multiscale Porous Media. Earth Science, 42(8): 1373-1378. doi: 10.3799/dqkx.2017.104
    Citation: Xu Peng, Li Cuihong, Liu Haicheng, Qiu Shuxia, Yu Boming, 2017. Fractal Features of the Effective Gas Transport Coefficient for Multiscale Porous Media. Earth Science, 42(8): 1373-1378. doi: 10.3799/dqkx.2017.104

    多尺度多孔介质有效气体输运参数的分形特征

    doi: 10.3799/dqkx.2017.104
    基金项目: 

    国家自然科学基金项目 51576077

    浙江省自然科学基金项目 LY16A020002

    浙江省自然科学基金项目 LQ16E060002

    详细信息
      作者简介:

      徐鹏(1981-), 男, 副教授, 主要从事多孔介质输运、分形理论和计算物理研究

    • 中图分类号: P313.1

    Fractal Features of the Effective Gas Transport Coefficient for Multiscale Porous Media

    • 摘要: 非常规油气资源的孔隙结构及其连通性非常复杂,其孔隙尺度从毫米到纳米跨越多个量级.多孔介质中气体的输运过程不仅依赖于介质的多尺度微观结构特征,还依赖于气体的相关属性.气体在多尺度多孔介质中的输运过程包括无滑流、滑脱流和过渡流,涉及分子扩散和努森扩散等多种机制,因此很难用唯一的连续介质理论来描述气体的输运特征.大量的数据表明真实多孔介质中的内部孔隙具有分形标度特征,因此采用分形几何表征多尺度多孔介质的孔隙结构,引入孔隙分形维数和迂曲度分形维数定量表征多孔介质的微结构和弯曲流道,建立多尺度多孔介质气体输运过程的细观模型;推导了多尺度多孔介质中气体的有效渗透率和有效扩散系数,并讨论了多尺度多孔介质微结构参数和气体属性对于气体等效输运特性的定量影响.该研究不仅可以丰富渗流理论,且有利于深入理解非常规油气藏的产出机制.

       

    • 图  1  多孔介质分形毛管束模型示意

      Fig.  1.  The sketch of fractal capillary bundle model of porous media

      图  2  多孔介质有效渗透率和分形维数的定量关系

      Fig.  2.  The relationship between effective gas permeability and fractal dimensions

      图  3  分形维数对于有效扩散系数的定量影响

      Fig.  3.  The effect of fractal dimensions on the effective gas diffusion coefficient

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    出版历程
    • 收稿日期:  2017-02-15
    • 刊出日期:  2017-08-15

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