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The mechanisms of water transport in the capillary fringe: sandbox experiments and numerical studies

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Abstract

Capillary fringe (CF) is the transition area between unsaturated zone and unconfined aquifer; the mechanisms of lateral seepage in CF are the basis to accurately assess water flow and solute transport in the subsurface environment. In this study, the characteristics of lateral seepage in CF were studied via sandbox experiments. Based on the established two-dimensional capillary tube model, force analysis of the capillary tube was implemented. In addition, numerical simulations were performed by HYDRUS software. The accuracy of the numerical simulation was determined by comparing the simulated results with sandbox experiment results. Then, the spatial distributions of water potential and flow velocity in CF were further analyzed. The results indicated that, in the recharge area of CF, due to forces like self-gravity, atmospheric pressure, wall tension, matric suction, friction, etc., the water column in the capillary tube had an upward velocity component which decreased during the process of capillary rise. Similarly, in the discharge area, a downward velocity component of water flow was also caused by the forces mentioned above and the velocity increased from up to down in the capillary tube. Moreover, the water finally moved across the water table into the saturated zone. In the middle part of CF, the water moved horizontally, and the higher the distance from the water table, the lower the flow rate. Besides, the hydraulic conductivity was proportional to the fourth power of the capillary tube radius. The comparison between the simulated data and the measured data revealed that the Brooks–Corey model could fit well with the experimental results. The spatial distributions of water potential and the flow velocity in CF showed that the flow rate in the recharge area was lower than that in the discharge area resulting from the smaller hydraulic gradient in the recharge area. Overall, this study contributes to an in-depth understanding of the mechanisms of lateral seepage in CF.

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References

  • Abit SM, Amoozegar A, Vepraskas MJ, Niewoehner CP (2008) Fate of nitrate in the capillary fringe and shallow groundwater in a drained sandy soil. Geoderma 146:209–215

    Article  CAS  Google Scholar 

  • Amoozegar A, Niewoehner CP, Lindbo DL (2006) Lateral movement of water in the capillary fringe under drainfields. In: Proc. of the 2006 Technical Education Conference, vol 27. National Onsite Wastewater Recycling Association, pp 31

    Google Scholar 

  • Aramrak S, Flury M, Harsh JB, Zollars RL (2014) Colloid mobilization and transport during capillary fringe fluctuations. Environ Sci Technol 48:7272–7279

    Article  CAS  Google Scholar 

  • Benson C, Abichou T, Albright W, Gee G, Roesler A (2001) Field evaluation of alternative earthen final covers. Int J Phytoremediat 3:105–127

    Article  CAS  Google Scholar 

  • Bradshaw JK, Radcliffe DE (2013) Nitrogen fate and transport in a conventional onsite wastewater treatment system installed in a clay soil: experimental results. Vadose Zone J 12(3):1–20

    Google Scholar 

  • Bradshaw JK, Radcliffe DE, Šimůnek J, Wunsch A, McCray JE (2013) Nitrogen fate and transport in a conventional onsite wastewater treatment system installed in a clay soil: a nitrogen chain model. Vadose Zone J 12(3):1–20

    Google Scholar 

  • Cloke HL, Anderson MG, McDonnell JJ, Renaud JP (2006) Using numerical modelling to evaluate the capillary fringe groundwater ridging hypothesis of streamflow generation. J Hydrol 316:141–162

    Article  Google Scholar 

  • Fan C, Chang FC, Ko CH, Teng CJ, Chang TC, Sheu YS (2009) Treatment of septic tank effluents by a full-scale capillary seepage soil biofiltration system. J Environ Health 71:56–60

    CAS  Google Scholar 

  • Feriancikova L, Xu S (2012) Deposition and remobilization of graphene oxide within saturated sand packs. J Hazard Mater 235:194–200

    Article  CAS  Google Scholar 

  • Gong Y, Liu Z, Ma C, Li M, Guo X (2021) Experimental Study on the lateral seepage characteristics in the tension saturated zone. Int J Environ Res Public Health 18(10):5098

    Article  Google Scholar 

  • Gründing D (2020) An enhanced model for the capillary rise problem. Int J Multiphase Flow 128:103210

    Article  CAS  Google Scholar 

  • Guo Z, Cao Y (2007) Spontaneous liquid uplift in biliquid capillary siphons. Transp Porous Med 67:317–322

    Article  CAS  Google Scholar 

  • Henry EJ, Smith J (2002) The effect of surface-active solutes on water flow and contaminant transport in variably saturated porous media with capillary fringe effects. J Contam Hydrol 56:247–270

    Article  CAS  Google Scholar 

  • Ippolito I, Hinch EJ, Daccord G, Hulin JP (1993) Tracer dispersion in 2–D fractures with flat and rough walls in a radial flow geometry. Phys Fluids A Fluid Dyn 5(8):1952–1962

    Article  CAS  Google Scholar 

  • Kacimov AR, Obnosov YV (2016) Tension–saturated and unsaturated flows from line sources in subsurface irrigation: R iesenkampf’s and Philip’s solutions revisited. Water Resour Res 52(3):1866–1880

    Article  Google Scholar 

  • Kurt Z, Mack EE, Spain JC (2016) Natural attenuation of nonvolatile contaminants in the capillary fringe. Environ Sci Technol 50(18):10172–10178

    Article  CAS  Google Scholar 

  • Lu T, Xia T, Qi Y, Zhang C, Chen W (2017) Effects of clay minerals on transport of graphene oxide in saturated porous media. Environ Toxicol Chem 36:655–660

    Article  CAS  Google Scholar 

  • Lu T, Gilfedder BS, Peng H, Niu G, Frei S (2021) Effects of clay minerals on the transport of nanoplastics through water-saturated porous media. Sci Total Environ 796:148982

    Article  CAS  Google Scholar 

  • Ma C, He Z, Li Q, Zhang H, Liu C (2017) Experimental study on water seepage law in the tension saturated zone. J Soils Sediments 17(6):1644–1652

    Article  Google Scholar 

  • Ma L, Selim HM (1996) Solute transport in soils under conditions of variable flow velocities. Water Resour Res 32:3277–3283

    Article  CAS  Google Scholar 

  • Malik R, Kumar S, Malik R (1989) Maximal capillary rise flux as a function of height from the water table. Soil Sci 148:322–326

    Article  Google Scholar 

  • Meng LY, Yamamoto H (2012) Ground behaviors due to seepage force of groundwater. Adv Mater Res 594:516–521

    Article  Google Scholar 

  • Min L, Shen Y, Pei H, Wang P (2018) Water movement and solute transport in deep vadose zone under four irrigated agricultural land-use types in the North China Plain. J Hydrol 559:510–522

    Article  CAS  Google Scholar 

  • Munson BR, Okiishi TH, Huebsch WW, Rothmayer AP (2013) Fluid mechanics. Wiley, Singapore

    Google Scholar 

  • Nimmo JR (2005) Unsaturated zone flow processes. In: Anderson MG, Bear J (eds) Encyclopedia of hydrological sciences. Wiley, Chichester, pp 2299–2322

    Google Scholar 

  • Novák V, Hlaváčiková H (2019) Modelling of water flow and solute transport in soil, applied soil hydrology. Springer, Berlin

    Google Scholar 

  • Persson M, Dahlin T, Günther T (2015) Observing solute transport in the capillary fringe using image analysis and electrical resistivity tomography in laboratory experiments. Vadose Zone J 14(5):1–11

    Article  CAS  Google Scholar 

  • Pojmark P, Rumpf B, Dahlin T, Persson M, Günther T (2011) Resistivity imaging and image analysis for estimating water and solute transport across the capillary fringe in laboratory experiments. Vatten 67:193–198

    Google Scholar 

  • Radcliffe DE, Simunek J (2018) Soil physics with HYDRUS: modeling and applications. CRC Press, Boca Raton

    Book  Google Scholar 

  • Reinson JR, Fredlund DG, Wilson GW (2005) Unsaturated flow in coarse porous media. Can Geotech J 42:252–262

    Article  Google Scholar 

  • Rock G, Kupfersberger H (2019) Modeling shallow groundwater nitrate concentrations by direct coupling of the vadose and the saturated zone. Environ Earth Sci 78(9):1–10

    Article  CAS  Google Scholar 

  • Ronen D, Scher H, Blunt M (1997) On the structure and flow processes in the capillary fringe of phreatic aquifers. Transp Porous Med 28:159–180

    Article  Google Scholar 

  • Silliman SE, Berkowitz B, Simunek J, Van Genuchten MT (2002) Fluid flow and solute migration within the capillary fringe. Groundwater 40:76–84

    Article  CAS  Google Scholar 

  • Šimůnek J, van Genuchten MT, Šejna M (2008) Development and applications of the HYDRUS and STANMOD software packages and related codes. Vadose Zone J 7(2):587–600

    Article  CAS  Google Scholar 

  • Singh G, Kaur G, Williard K, Schoonover J, Kang J (2018) Monitoring of water and solute transport in the vadose zone: a review. Vadose Zone J 17(1):1–23

    Article  CAS  Google Scholar 

  • Tang CS, Shi B, Liu C, Suo WB, Gao L (2011) Experimental characterization of shrinkage and desiccation cracking in thin clay layer. Appl Clay Sci 52:69–77

    Article  CAS  Google Scholar 

  • Willmott CJ (1981) On the validation of model. Phys Geogr 2:184–194

    Article  Google Scholar 

  • Wyckoff R, Botset H, Muskat M (1932) Flow of liquids through porous media under the action of gravity. Phys 3:90–113

    Article  CAS  Google Scholar 

  • Yao Y, Mao F, Xiao Y, Luo J (2019) Modeling capillary fringe effect on petroleum vapor intrusion from groundwater contamination. Water Res 150:111–119

    Article  CAS  Google Scholar 

  • Ye Z, Qin H, Chen Y, Fan Q (2020) An equivalent pipe network model for free surface flow in porous media. Appl Math Model 87:389–403

    Article  Google Scholar 

  • Yu S, Freitas JG, Unger AJ, Barker JF, Chatzis J (2009) Simulating the evolution of an ethanol and gasoline source zone within the capillary fringe. J Contam Hydrol 105:1–17

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This project was supported by Wuhan Zondy W&R Environmental Technology Co., Ltd. and the China Scholarship Council (201708420145). We also acknowledge the assistance of Prof. Junwei Wan from the China University of Geoscience (Wuhan).

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Contributions

HP: Conceptualization, methodology, investigation, writing- original draft preparation; TL: formal analysis, writing- original draft preparation, writing- reviewing and editing.

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Correspondence to T. Lu.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Editorial responsibility: Maryam Shabani.

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Peng, H., Lu, T. The mechanisms of water transport in the capillary fringe: sandbox experiments and numerical studies. Int. J. Environ. Sci. Technol. 19, 5791–5802 (2022). https://doi.org/10.1007/s13762-021-03609-3

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  • DOI: https://doi.org/10.1007/s13762-021-03609-3

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