| Citation: | GAO Yipan,SUN Ronglin,HE Shiwei,et al. Non-Fickian phenomenon of solute transport in hierarchical groundwater flow systems of homogeneous sandbox aquifer[J]. Bulletin of Geological Science and Technology,2026,45(3):1-11 doi: 10.19509/j.cnki.dzkq.tb20250044 |
Groundwater solute transport is a core research content in hydrogeology, and the non-Fickian phenomenon widely existing in the transport process is the key to revealing the intrinsic mechanisms of solute migration. Traditional studies have mostly focused on the non-Fickian phenomenon caused by the heterogeneity of aquifer media, while the research on solute transport in homogeneous aquifers under the hierarchical groundwater flow system model remains relatively limited. This study aims to investigate the non-Fickian phenomenon of solute transport at the discharge points and inside the homogeneous sandbox aquifer with hierarchical groundwater flow systems, as well as its key influencing factors. It is also intended to clarify the manifestation patterns and dominant controlling factors of the non-Fickian phenomenon under the hierarchical flow system model in homogeneous aquifers, and to provide experimental and theoretical basis for the prevention, control, and treatment of groundwater pollution in complex nested basins.
Based on the combination of laboratory sandbox physical experiments and COMSOL Multiphysics numerical simulation, three different groundwater flow patterns were constructed in the aquifer by adjusting the rainfall infiltration intensity: single regional flow system, local + regional two-level flow system, and local + intermediate + regional three-level flow system. The dynamic monitoring of solute transport at river valley discharge points and internal monitoring points of the aquifer was carried out, and the non-Fickian characteristics of solute transport were systematically analyzed by using the breakthrough curve of solute transport as the core analysis index.
The analysis of solute transport breakthrough curves showed that in the same flow pattern, the significance degree of the non-Fickian phenomenon in different hierarchical flow systems followed the order of regional flow system > intermediate flow system > local flow system. Among different groundwater flow patterns, the significance degree of the non-Fickian phenomenon was ranked as single regional flow system > local + regional two-level flow system > local + intermediate + regional three-level flow system. Distinct non-Fickian transport characteristics of early arrival and tailing were observed at both the river valley discharge points of the physical sandbox and the internal monitoring points of the numerical sandbox, directly reflecting the non-Fickian phenomenon in the hierarchical flow system of the homogeneous aquifer.
The non-Fickian phenomenon of solute transport in the hierarchical groundwater flow systems of the sandbox aquifer is jointly affected by groundwater flow velocity, solute transport path, and rainfall infiltration intensity, with notable differences in the dominant influencing factors of aquifers at different depths. The non-Fickian phenomenon in the shallow aquifer is more significantly affected by groundwater flow velocity, while that in the deep aquifer is mainly controlled by the solute transport path, with a longer path leading to a more obvious non-Fickian tailing phenomenon. There is a significant negative correlation between rainfall infiltration intensity and the non-Fickian phenomenon in the deep aquifer, meaning the smaller the rainfall intensity, the more prominent the non-Fickian tailing phenomenon in the deep part, while rainfall infiltration intensity shows no obvious correlation with the non-Fickian phenomenon in the shallow aquifer. This study enriches the theoretical system of solute transport in hierarchical groundwater flow systems of homogeneous aquifers, and provides important scientific reference for the practical evaluation and remediation of groundwater pollution in nested basins.
| [1] |
TÓTH J. Cross-formational gravity-flow of groundwater: A mechanism of the transport and accumulation of petroleum (The generalized hydraulic theory of petroleum migration)[J]. Problems of Petroleum Migration, 1980, 10: 121-128.
|
| [2] |
TÓTH J. A theoretical analysis of groundwater flow in small drainage basins[J]. Journal of Geophysical Research, 1963, 68(16): 4795-4812.
|
| [3] |
梁杏, 张人权, 靳孟贵. 地下水流系统: 理论 应用 调查[M]. 北京: 地质出版社, 2015.
LIANG X, ZHANG R Q, JIN M G. Grounduater flow systems: Theory, application and regulation[M]. Beijing: Geological Publishing House, 2015. (in Chinese)
|
| [4] |
ZHAO K Y, JIANG X W, WANG X S, et al. An analytical study on nested flow systems in a Tóthian Basin with a periodically changing water table[J]. Journal of Hydrology, 2018, 556: 813-823. doi: 10.1016/j.jhydrol.2016.09.051
|
| [5] |
韩汝杰, 李静, 李晓波. 莱州湾滨海平原沉积环境对古卤水盐分迁移能力的影响[J]. 地质科技通报, 2024, 43(5): 259-271. doi: 10.19509/j.cnki.dzkq.tb20230307
HAN R J, LI J, LI X B. Influence of the sedimentary environment on the salt migration ability of ancient brine in the coastal plain of Laizhou Bay[J]. Bulletin of Geological Science and Technology, 2024, 43(5): 259-271. (in Chinese with English abstract doi: 10.19509/j.cnki.dzkq.tb20230307
|
| [6] |
DAI X, XIE Y Q, SIMMONS C T, et al. Understanding topography-driven groundwater flow using fully-coupled surface-water and groundwater modeling[J]. Journal of Hydrology, 2021, 594: 125950. doi: 10.1016/j.jhydrol.2020.125950
|
| [7] |
SHI J X, JIANG X W, ZHANG Z Y, et al. Interaction of focused recharge and deep groundwater discharge near a wetland: A study in the Ordos Basin, China[J]. Journal of Hydrology, 2023, 626: 130361. doi: 10.1016/j.jhydrol.2023.130361
|
| [8] |
SUN R L, XIAO W, JIANG L Q, et al. Laboratory studies of the temporal evolution process of the riparian groundwater flow system related to rainfall[J]. Journal of Hydrology, 2023, 625: 130086. doi: 10.1016/j.jhydrol.2023.130086
|
| [9] |
张人权, 梁杏, 靳孟贵, 等. 当代水文地质学发展趋势与对策[J]. 水文地质工程地质, 2005, 32(1): 51-56. doi: 10.3969/j.issn.1672-562X.2018.01.036
ZHANG R Q, LIANG X, JIN M G, et al. The trends in contemporary hydrogeology[J]. Hydrogeology and Engineering Geology, 2005, 32(1): 51-56. (in Chinese with English abstract doi: 10.3969/j.issn.1672-562X.2018.01.036
|
| [10] |
党婧萱, 田涛, 李闯, 等. 基于机器学习与多源数据融合的江苏省潜水位空间分布估计[J]. 地质科技通报, 2026, 45(2): 351-360. doi: 10.19509/j.cnki.dzkq.tb20240228
DANG J X, TIAN T, LI C, et al. Exploration of groundwater table spatial estimation in Jiangsu Province based on machine learning and multi-source data fusion[J]. Bulletin of Geological Science and Technology, 2026, 45(2): 351-360. (in Chinese with English abstract doi: 10.19509/j.cnki.dzkq.tb20240228
|
| [11] |
刘玉姣, 戴恒, 李跃东, 崔节波, 文章. 层级制全局敏感性分析方法及其在地下水模型中的应用[J]. 地质科技通报, 2024, 43(5): 216-224.
LIU Y J, DAI H, LI Y D, CUI J B, WEN Z. Method of hierarchical global sensitivity analysis and its application in groundwater models[J]. Bulletin of Geological Science and Technology, 2024, 43(5): 216-224. (in Chinese with English abstract
|
| [12] |
梁杏, 牛宏, 张人权, 等. 盆地地下水流模式及其转化与控制因素[J]. 地球科学, 2012, 37(2): 269-275. doi: 10.3799/dqkx.2012.028
LIANG X, NIU H, ZHANG R Q, et al. Basinal groundwater flow patterns and their transformation and dominant factors[J]. Earth Science, 2012, 37(2): 269-275. (in Chinese with English abstract doi: 10.3799/dqkx.2012.028
|
| [13] |
ZHANG X L, LI H L, JIAO J J, et al. Fractal behaviors of hydraulic head and surface runoff of the nested groundwater flow systems in response to rainfall fluctuations[J]. Geophysical Research Letters, 2022, 49(2): e2021GL093784. doi: 10.1029/2021GL093784
|
| [14] |
JIANG X W, WANG X S, WAN L, et al. An analytical study on stagnation points in nested flow systems in basins with depth-decaying hydraulic conductivity[J]. Water Resources Research, 2011, 47(1): 2010WR009346. doi: 10.1029/2010WR009346
|
| [15] |
LIANG X, LIU Y, JIN M G, et al. Direct observation of complex Tóthian groundwater flow systems in the laboratory[J]. Hydrological Processes, 2010, 24(24): 3568-3573. doi: 10.1002/hyp.7758
|
| [16] |
GUPTA I, WILSON A M, ROSTRON B J. Groundwater age, brine migration, and large-scale solute transport in the Alberta Basin, Canada[J]. Geofluids, 2015, 15(4): 608-620.
|
| [17] |
ZHANG X L, JIAO J J, LI H L, et al. Effects of downward intrusion of saline water on nested groundwater flow systems[J]. Water Resources Research, 2020, 56(10): e2020WR028377. doi: 10.1029/2020WR028377
|
| [18] |
NIU H, WANG J Z, NI S N, et al. Laboratory observations of solute transport in groundwater basins[J]. Journal of Cleaner Production, 2023, 423: 138832. doi: 10.1016/j.jclepro.2023.138832
|
| [19] |
黄康乐. 多孔介质水动力弥散尺度效应研究: 现状与展望[J]. 水文地质工程地质, 1991, 18(3): 25-26. doi: 10.16030/j.cnki.issn.1000-3665.1991.04.011
HUANG K L. Study on the hydrodynamic dispersion scale effect of porous media: Current status and prospects[J]. Hydrogeology and Engineering Geology, 1991, 18(3): 25-26 (in Chinese with English abstract doi: 10.16030/j.cnki.issn.1000-3665.1991.04.011
|
| [20] |
BERKOWITZ B, EMMANUEL S, SCHER H. Non-Fickian transport and multiple-rate mass transfer in porous media[J]. Water Resources Research, 2008, 44(3): 2007WR005906.
|
| [21] |
董贵明, 常大海, 田娟, 等. 弥散尺度效应的试验研究进展及展望[J]. 水文, 2017, 37(2): 8-13. doi: 10.3969/j.issn.1000-0852.2017.02.002
DONG G M, CHANG D H, TIAN J, et al. Research progress and prospects of dispersion scale effect test[J]. Journal of China Hydrology, 2017, 37(2): 8-13. (in Chinese with English abstract doi: 10.3969/j.issn.1000-0852.2017.02.002
|
| [22] |
宫玥, 张敏, 任宇, 等. 砂箱弥散试验尺寸效应及弥散度尺度效应[J]. 地球科学与环境学报, 2019, 41(6): 748-756.
GONG Y, ZHANG M, REN Y, et al. Inherent size effect in sand-box dispersion experiments and scale effect of dispersivity[J]. Journal of Earch Sciences and Environment, 2019, 41(6): 748-756. (in Chinese with English abstract
|
| [23] |
BRADLEY J, SINGH K, WANG L C. Intrapore geometry and flow rate controls on the transition of non-fickian to fickian dispersion[J]. Water Resources Research, 2023, 59(1): e2022WR032833. doi: 10.1029/2022WR032833
|
| [24] |
XIONG Y W, HUANG G H, HUANG Q Z. Modeling solute transport in one-dimensional homogeneous and heterogeneous soil columns with continuous time random walk[J]. Journal of Contaminant Hydrology, 2006, 86(3/4): 163-175. doi: 10.1016/j.jconhyd.2006.03.001
|
| [25] |
SHARMA P K, ABGAZE T A. Solute transport through porous media using asymptotic dispersivity[J]. Sadhana, 2015, 40(5): 1595-1609. doi: 10.1007/s12046-015-0382-6
|
| [26] |
LI Y H, BIAN J M, WANG Q, et al. Experiment and simulation of non-reactive solute transport in porous media[J]. Groundwater, 2022, 60(3): 330-343. doi: 10.1111/gwat.13153
|
| [27] |
FAROUGHI S A, SOLTANMOHAMMADI R, DATTA P, et al. Physics-informed neural networks with periodic activation functions for solute transport in heterogeneous porous media[J]. Mathematics, 2024, 12(1): 63. doi: 10.3390/math12010063
|
| [28] |
JAISWAL S, CHOPRA M, DAS S. Numerical solution of two-dimensional solute transport system using operational matrices[J]. Transport in Porous Media, 2018, 122(1): 1-23. doi: 10.1007/s11242-017-0986-x
|
| [29] |
QIAN J Z, WANG Z K, GARRARD R M, et al. Non-invasive image processing method to map the spatiotemporal evolution of solute concentration in two-dimensional porous media[J]. Journal of Hydrodynamics, 2018, 30(4): 758-761. doi: 10.1007/s42241-018-0077-7
|
| [30] |
WANG L C, CARDENAS M B. Non-Fickian transport through two-dimensional rough fractures: Assessment and prediction[J]. Water Resources Research, 2014, 50(2): 871-884. doi: 10.1002/2013WR014459
|
| [31] |
WANG L C, CARDENAS M B, ZHOU J Q, et al. The complexity of nonlinear flow and non-fickian transport in fractures driven by three-dimensional recirculation zones[J]. Journal of Geophysical Research: Solid Earth, 2020, 125(9): e2020JB020028. doi: 10.1029/2020JB020028
|
| [32] |
刘咏, 张琪, 钱家忠, 等. 基于图像法的多孔介质双分子反应溶质运移模拟[J]. 地学前缘, 2022, 29(3): 248-255. doi: 10.13745/j.esf.sf.2022.1.28
LIU Y, ZHANG Q, QIAN J Z, et al. Simulation of bimolecular reactive solute transport in porous media via image analysis[J]. Earth Science Frontiers, 2022, 29(3): 248-255. (in Chinese with English abstract doi: 10.13745/j.esf.sf.2022.1.28
|
| [33] |
宋羿, 严小三, 骆乾坤, 等. 采用图像法实时监测二维多孔介质溶质运移实验与模拟研究[J]. 合肥工业大学学报(自然科学版), 2018, 41(12): 1690-1694. doi: 10.3969/j.issn.1003-5060.2018.12.019
SONG Y, YAN X S, LUO Q K, et al. Experimental and simulation study on real-time monitoring of solute transport in two-dimensional porous media using image method[J]. Journal of Hefei University of Technology (Natural Science), 2018, 41(12): 1690-1694. (in Chinese with English abstract doi: 10.3969/j.issn.1003-5060.2018.12.019
|
| [34] |
王泽坤, 严小三, 宋羿, 等. 含透镜体多孔介质中溶质二维运移实验与模拟研究[J]. 合肥工业大学学报(自然科学版), 2018, 41(7): 968-972. doi: 10.3969/j.issn.1003-5060.2018.07.019
WANG Z K, YAN X S, SONG Y, et al. Numerical simulation study on bimodal migration of heterogeneous radial solute anomaly in porous media[J]. Journal of Hefei University of Technology (Natural Science), 2018, 41(7): 968-972. (in Chinese with English abstract doi: 10.3969/j.issn.1003-5060.2018.07.019
|
| [35] |
郭芷琳, 马瑞, 张勇, 等. 地下水污染物在高度非均质介质中的迁移过程: 机理与数值模拟综述[J]. 中国科学: 地球科学, 2021, 51(11): 1817-1836.
GUO Z L, MA R, ZHANG Y, et al. Contaminant transport in heterogeneous aquifers: A critical review of mechanisms and numerical methods of non-Fickian dispersion[J]. Scientia Sinica (Terrae), 2021, 51(11): 1817-1836. (in Chinese with English abstract
|
| [36] |
SU D Y, XIE M L, MAYER K U, et al. Simulation of diffusive solute transport in heterogeneous porous media with dipping anisotropy[J]. Frontiers in Water, 2022, 4: 974145. doi: 10.3389/frwa.2022.974145
|
| [37] |
PEREZ L J, BEBIS G, MCKENNA S A, et al. Solute transport prediction in heterogeneous porous media using random walks and machine learning[J]. GEM-International Journal on Geomathematics, 2023, 14(1): 30. doi: 10.1007/s13137-023-00240-x
|
| [38] |
钱家忠, 王永媛, 刘雅静, 等. 分段非均质多孔介质中双分子反应性溶质运移实验与模拟研究[J]. 环境科学学报, 2023, 43(10): 123-132.
QIAN J Z, WANG Y Y, LIU Y J, et al. Experimental and simulation study on bimolecular reactive solute transport in segmented heterogeneous porous media[J]. Acta Scientiae Circumstantiae, 2023, 43(10): 123-132. (in Chinese with English abstract
|
| [39] |
左孔辉, 李旭, 朱棋, 等. 非均质孔隙介质径向溶质双峰反常运移数值模拟研究[J]. 安全与环境工程, 2024, 31(3): 225-234. doi: 10.13578/j.cnki.issn.1671-1556.20230097
ZUO K H, LI X, ZHU Q, et al. Numerical simulation study on bimodal migration of heterogeneous radial solute anomaly in porous media[J]. Safety and Environmental Engineering, 2024, 31(3): 225-234. (in Chinese with English abstract doi: 10.13578/j.cnki.issn.1671-1556.20230097
|
| [40] |
王培源, 童曼, 张鹏. 地下水位波动驱动的沉积物充放电规律与机制[J]. 地质科技通报, 2026, 45(2): 240-248. doi: 10.19509/j.cnki.dzkq.tb20240788
WANG P Y, TONG M, ZHANG P. Patterns and mechanisms of sediment charging and discharging driven by groundwater level fluctuations[J]. Bulletin of Geological Science and Technology, 2026, 45(2): 240-248. (in Chinese with English abstract doi: 10.19509/j.cnki.dzkq.tb20240788
|
| [41] |
易磊, 漆继红, 许模, 等. 基于砂槽模型研究不同水流密度下盆地地下水流系统[J]. 水文地质工程地质, 2019, 46(3): 40-46. doi: 10.16030/j.cnki.issn.1000-3665.2019.03.06
YI L, QI J H, XU M, et al. A study of the characteristics of groundwater flow system of a basin under variable density condition based on a physical sand box model[J]. Hydrogeology & Engineering Geology, 2019, 46(3): 40-46. (in Chinese with English abstract doi: 10.16030/j.cnki.issn.1000-3665.2019.03.06
|
| [42] |
GELHAR L W, WELTY C, REHFELDT K R. A critical review of data on field-scale dispersion in aquifers[J]. Water Resources Research, 1992, 28(7): 1955-1974. doi: 10.1029/92WR00607
|