Reactive solute transport in a filled single fracture-matrix system under unilateral and radial flows

Reactive solute transport in a filled single fracture-matrix system under unilateral and radial flows
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单侧和径向流下填充的单裂缝基质系统中的反应性溶质输运

DOI:
10.1016/j.advwatres.2017.03.022
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发表时间:
2017-06
影响因子:
4.7
通讯作者:
Chen Kewei
Chen Kewei
中科院分区:
环境科学与生态学2区
文献类型:
--
作者:
Zhou Renjie;Zhan Hongbin;Chen Kewei

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单一裂缝输运过程的研究是理解复杂裂缝网络输运的基础。野外许多单裂缝都充填了沉积物,而这些充填的单裂缝中的输运问题目前还没有得到足够的重视。当裂缝部分被沉积物填满时,必须采用移动-不移动的方法。本文研究了一个耦合的三域输运问题,用可动和不可动域来表征充填的单一裂缝,用矩阵域来表征岩体。本文建立了耦合三域输运问题的数学模型,并给出了新的半解析解,利用拉普拉斯变换分析了裂隙和岩石基质中浓度和质量的时空分布。本研究研究了两种不同流动条件下充填裂缝基质系统中的运移:单边流动和径向流动。新的解决方案已经与以前的解决方案在各种特殊设置下进行了广泛的测试,并被证明是可靠和准确的。本研究有以下发现:1)裂缝纵向弥散在单侧流动耦合系统中起着重要作用;2)三个区域的质量分区在裂缝孔径、可动/不可动比和一阶传质率的影响下具有相似的模式;3)在大时间尺度范围内(纵向弥散度和达西流速保持不变的情况下),系统对弥散度最敏感,对一阶传质率和流动/不流动比最不敏感;在径向流动模型中,对一阶传质速率最不敏感(如果径向弥散度和注入速率保持不变)。
The study of transport processes in a single fracture is the basis of understanding transport in complex fractured networks. Many single fractures in the field are filled with sediments, and the transport in such filled single fractures has received much less attention up to present. When the fracture is partially filled with sediments, a mobile-immobile approach is considered necessary. This study deals with a coupled three-domain transport problem using mobile and immobile domains to characterize a filled single fracture and a matrix domain to characterize the rock body. Mathematical models are developed for such a coupled three-domain transport problem with new semi-analytical solutions to analyze the spatial-temporal concentration and mass distributions in the fracture and rock matrix with the help of Laplace transforms. This study addresses transport in a filled fracture-matrix system under two different flow conditions: unilateral flow, and radial flow. The new solutions have been tested extensively against previous solutions under various special settings and are proven to be robust and accurate. This study has the following findings: 1) Longitudinal dispersion in the fracture often plays an important role in such a coupled system in unilateral flow, 2) Mass partitions in three domains follow similar patterns in respect to the influence of fracture apertures, mobile/immobile ratios, and first-order mass transfer rates, 3) The system is most sensitive to the dispersivity and least sensitive to the first-order mass transfer rate and the mobile/immobile ratio in the unilateral flow model over a wide range of time scales (if the longitudinal dispersivity and Darcian flow velocity remain constant), 4) The system is most sensitive to the dispersivity, less sensitive to the mobile/immobile ratio, and least sensitive to the first-order mass transfer rate in the radial flow model (if the radial dispersivity and injection rate remain constant).
具有不同裂缝和基质反应速率的裂缝-基质系统中溶质输运的解析解
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