Can homogeneous slip boundary condition affect effective dispersion in single fractures with Poiseuille flow?

Can homogeneous slip boundary condition affect effective dispersion in single fractures with Poiseuille flow?
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均匀滑移边界条件是否会影响具有泊肃叶流的单裂缝的有效分散?

DOI:
10.1016/j.jhydrol.2019.124385
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发表时间:
2020-02
影响因子:
6.4
通讯作者:
Xi Chen
Xi Chen
中科院分区:
地球科学1区
文献类型:
--
作者:
Lizhi Zheng;Lichun Wang;Tiejun Wang;Kuldeep Singh;Zhong-Liang Wang;Xi Chen

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流体携带的实体的命运取决于地质环境中的流动和运输过程。用于描述单个裂缝内的流动(立方定律)和运输(泰勒分散理论)过程的经典理论是基于Poiffille流动模型(即,流过平行板)及其具有更复杂表面的修改。尽管如此,Poiffille流动模型假设无滑移边界条件,而一些自然环境显示出相反的情况,例如,裂缝壁在非零流速下是滑动的。为了更好地理解滑移边界对Poiffille流内输运的影响,我们基于考虑均匀滑移边界条件的校正流场,开发了纵向弥散系数(DL)的封闭形式表达式。此外,还进行了可靠的直接数值模拟,进一步验证了我们提出的DL理论。理论和数值实验都表明,均匀滑移边界条件对Poiffille流的平均速度影响不大,但滑移边界条件对Poiffille流的平均速度影响很大。我们的理论基础上的机械,虽然简化,模型可能会揭示预测的命运流体承载的实体在复杂的地质环境。
The fate of fluid-borne entities depends on flow and transport processes in geological environments. The classical theories for describing flow (Cubic Law) and transport (Taylor dispersion theory) processes within single fractures are based on the Poiseuille flow model (i.e., flow through the parallel plates) and its modifications with more complex surfaces. Nonetheless, the Poiseuille flow model assumes no-slip boundary condition while some natural environments show the otherwise, e.g., fracture walls are slippery with non-zero flow velocity. To better understand the effects of slippery boundaries on transport within Poiseuille flow, we develop a closed-form expression for the longitudinal dispersion coefficient (DL) based on the corrected flow field that considers homogeneous slip boundary condition. Moreover, the reliable direct numerical simulations were implemented to further validate our proposed theory onDL. Both theory and numerical experiments suggest that homogeneous slip boundary condition unsignificantly altersDL, although slippery boundaries can significantly change the mean velocity of Poiseuille flow. Our theory based on mechanistic, albeit simplified, model might shed light on predicting the fate of fluid-borne entities in complex geological environments.
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