Colloid transport through a variable-aperture fracture under unfavorable attachment conditions: Characterization with a continuous time random walk model

Colloid transport through a variable-aperture fracture under unfavorable attachment conditions: Characterization with a continuous time random walk model
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在不利的附着条件下通过可变孔径裂缝的胶体传输:用连续时间随机游走模型进行表征

DOI:
10.1016/j.colsurfa.2022.128822
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发表时间:
2022
期刊:
Colloids and Surfaces A: Physicochemical and Engineering Aspects
影响因子:
--
通讯作者:
Constantinos V. Chrysikopoulos
Constantinos V. Chrysikopoulos
中科院分区:
其他
文献类型:
--
作者:
Lizhi Zheng;Lichun Wang;Scott C. James;Constantinos V. Chrysikopoulos

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虽然裂缝孔径变化对胶体平流和分散的影响已经很好地理解,但在不利的地球化学条件下,孔径变化如何影响胶体沉积仍有待探索。为了解决这一知识差距,我们模拟了6200例胶体运输的可变孔径裂缝与不同幅度的裂缝孔径变异性和相关长度。在模拟中,流动是层流(雷诺数< 1),具有弥散主导的输送(佩克莱数< 1)。数值计算得到的穿透曲线(BTC)反映了非Fickian输运行为与幂律拖尾,幂律指数随孔径变化而增加,而不是相关长度。对流-弥散-反应方程(ADRE)和连续时间随机游走(CTRW)模型的解决方案被拟合到BTC。CTRW模型忠实地再现了根据幂律衰减的BTC,而ADRE却未能做到这一点。CTRW模型中的附着速率的总体平均值(相当于ADRE中的反应速率)与可测量的性质(即,孔径可变性)。这个新建立的功能,便于准确预测非菲克胶体运输CTRW模型,其中动态附着和脱离的胶体被认为是在不利的沉积条件下。
Although the effects of fracture aperture variability on colloid advection and dispersion are well understood, how aperture variability affects colloid deposition under unfavorable geochemical conditions remains underexplored. To address this knowledge gap, we simulated 6200 cases of colloid transport in variable-aperture fractures with different magnitudes of fracture aperture variability and correlation lengths. Flows were laminar (Reynolds number < 1) with dispersion-dominated transport (Peclet number < 1) in the simulations. The numerically obtained breakthrough curves (BTCs) reflected non-Fickian transport behavior with power-law tailing where the power-law exponent increased with aperture variability rather than correlation length. Solutions to the advection-dispersion-reaction equation (ADRE) and a continuous time random walk (CTRW) model were fit to the BTCs. The CTRW model faithfully reproduced BTCs that decayed according to a power law, while the ADRE failed to do so. The ensemble mean of the attachment rate (equivalent to the reaction rate in the ADRE) in the CTRW model was correlated to a measurable property (i.e., aperture variability) using a power-law function. This newly established function facilitates accurate prediction of non-Fickian colloid transport using the CTRW model where dynamic attachment and detachment of colloids are considered under unfavorable deposition conditions.
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