Technical Papers
Aug 30, 2023

Flow and Colloid-Facilitated Contaminant Transport in the Vadose Zone: Numerical Study

Publication: Journal of Hydrologic Engineering
Volume 28, Issue 11

Abstract

The present paper focuses on the numerical model development of the colloid-facilitated contaminant transport using an equilibrium approach in the vadose zone of subsurface porous media. Flow in the vadose zone of subsurface porous media plays a prominent role in predicting the transport of contaminants from the ground surface to the water table. Ignoring the fact that standard flow equations and colloids are ubiquitous in subsurface environments can lead to a severe misjudgment of the distances traveled by the contaminants. Although contaminant transport with colloids in saturated porous media has been studied, the equilibrium-based colloid-associated contaminant transport in the unsaturated zone has received inadequate attention. The present study encompasses the flow equations for a vadose zone with a colloid-facilitated contaminant transport model. The present study encompasses the first numerical model of colloid-associated contaminant transport with an equilibrium approach under unsaturated flow conditions. The mixed form of the Richards equation is solved using a fully implicit finite-difference method with Picard’s iteration and coupled with the solution of the transport equation. The breakthrough profiles and sensitivity analyses culminate in indicating that colloids enhance the mobility of contaminants by reducing the retardation factor. However, an engrossing finding is that the mobility of contaminants also relies upon the degree of interaction of pollutants with stationary porous matrix and suspended colloids. As the degree of interaction of the contaminants with the stationary solid matrix increases, retardation is noticed in the contaminant movement, even in the presence of colloids. In contrast, contaminants move faster as the degree of interaction of the contaminants with the suspended colloids increases.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

References

Bedrikovetsky, P., Y. Osipov, L. Kuzmina, and G. Malgaresi. 2019. “Exact upscaling for transport of size-distributed colloids.” Water Resour. Res. 55 (2): 1011–1039. https://doi.org/10.1029/2018WR024261.
Bekhit, H. M., M. A. El-Kordy, and A. E. Hassan. 2009. “Contaminant transport in groundwater in the presence of colloids and bacteria: Model development and verification.” J. Contam. Hydrol. 108 (3–4): 152–167. https://doi.org/10.1016/j.jconhyd.2009.07.003.
Bekhit, H. M., and A. E. Hassan. 2005. “Two-dimensional modeling of contaminant transport in porous media in the presence of colloids.” Adv. Water Resour. 28 (12): 1320–1335. https://doi.org/10.1016/j.advwatres.2005.04.009.
Bekhit, H. M., and A. E. Hassan. 2007. “Subsurface contaminant transport in the presence of colloids: Effect of nonlinear and nonequilibrium interactions.” Water Resour. Res. 43 (8). https://doi.org/10.1029/2006WR005418.
Bradford, S. A., S. Torkzaban, H. Kim, and J. Simunek. 2012. “Modeling colloid and microorganism transport and release with transients in solution ionic strength.” Water Resour. Res. 48 (9). https://doi.org/10.1029/2012WR012468.
Celia, M. A., E. T. Bouloutas, and R. L. Zarba. 1990. “A general mass-conservative numerical solution for the unsaturated flow equation.” Water Resour. Res. 26 (7): 1483–1496. https://doi.org/10.1029/WR026i007p01483.
Corapcioglu, M. Y., and S. Jiang. 1993. “Colloid-facilitated groundwater contaminant transport.” Water Resour. Res. 29 (7): 2215–2226. https://doi.org/10.1029/93WR00404.
Dacol, D. K., and H. Rabitz. 1983. “Arbitrary order functional sensitivity densities for reaction-diffusion systems.” J. Chem. Phys. 78 (8): 4905–4914. https://doi.org/10.1063/1.445400.
Demiralp, M., and H. Rabitz. 1981. “Chemical kinetic functional sensitivity analysis: Elementary sensitivities.” J. Chem. Phys. 74 (6): 3362–3375. https://doi.org/10.1063/1.441489.
Goldberg, E., M. Scheringer, T. D. Bucheli, and K. Hungerbühler. 2014. “Critical assessment of models for transport of engineered nanoparticles in saturated porous media.” Environ. Sci. Technol. 48 (21): 12732–12741. https://doi.org/10.1021/es502044k.
Guo, Y., J. Lou, J. K. Cho, N. Tilton, J. Chun, W. Um, X. Yin, K. B. Neeves, and N. Wu. 2020. “Transport of colloidal particles in microscopic porous medium analogues with surface charge heterogeneity: Experiments and the fundamental role of single-bead deposition.” Environ. Sci. Technol. 54 (21): 13651–13660. https://doi.org/10.1021/acs.est.0c03225.
Ibaraki, M., and E. A. Sudicky. 1995. “Colloid-facilitated contaminant transport in discretely fractured porous media: 1. Numerical formulation and sensitivity analysis.” Water Resour. Res. 31 (12): 2945–2960. https://doi.org/10.1029/95WR02180.
Johnson, P. R., and M. Elimelech. 1995. “Dynamics of colloid deposition in porous media: Blocking based on random sequential adsorption.” Langmuir 11 (3): 801–812. https://doi.org/10.1021/la00003a023.
Judson, R. S., and H. Rabitz. 1987. “On understanding the relationship between structure in the potential surface and observables in classical dynamics: A functional sensitivity analysis approach.” J. Chem. Phys. 86 (7): 3886–3900. https://doi.org/10.1063/1.451949.
Kabala, Z. J. 2001. “Sensitivity analysis of a pumping test on a well with wellbore storage and skin.” Adv. Water Resour. 24 (5): 483–504. https://doi.org/10.1016/S0309-1708(00)00051-8.
Kabala, Z. J., and P. C. D. Milly. 1990. “Sensitivity analysis of flow in unsaturated heterogeneous porous media: Theory, numerical model, and its verification.” Water Resour. Res. 26 (4): 593–610. https://doi.org/10.1029/WR026i004p00593.
Kabala, Z. J., and P. C. D. Milly. 1991a. “Sensitivity analysis of infiltration, exfiltration, and drainage in unsaturated miller-similar porous media.” Water Resour. Res. 27 (10): 2655–2666. https://doi.org/10.1029/91WR01869.
Kabala, Z. J., and P. C. D. Milly. 1991b. “Sensitivity analysis of partial differential equations: A case for functional sensitivity.” Numer. Methods Partial Differ. Equations 7 (2): 101–112. https://doi.org/10.1002/num.1690070202.
Kan, A. T., and M. B. Tomson. 1990. “Ground water transport of hydrophobic organic compounds in the presence of dissolved organic matter.” Environ. Toxicol. Chem. 9 (3): 253–263. https://doi.org/10.1002/etc.5620090302.
Katzourakis, V. E., and C. V. Chrysikopoulos. 2021. “Modeling the transport of aggregating nanoparticles in porous media.” Water Resour. Res. 57 (1): e2020WR027946. https://doi.org/10.1029/2020WR027946.
Kheirabadi, M., M. H. Niksokhan, and B. Omidvar. 2017. “Colloid-associated groundwater contaminant transport in homogeneous saturated porous media: Mathematical and numerical modeling.” Environ. Model. Assess. 22 (1): 79–90. https://doi.org/10.1007/s10666-016-9518-2.
Magee, B. R., L. W. Lion, and A. T. Lemley. 1991. “Transport of dissolved organic macromolecules and their effect on the transport of phenanthrene in porous media.” Environ. Sci. Technol. 25 (2): 323–331. https://doi.org/10.1021/es00014a017.
Massoudieh, A., and T. R. Ginn. 2007. “Modeling colloid-facilitated transport of multi-species contaminants in unsaturated porous media.” J. Contam. Hydrol. 92 (3–4): 162–183. https://doi.org/10.1016/j.jconhyd.2007.01.005.
McCarthy, J. F., and J. M. Zachara. 1989. “Subsurface transport of contaminants.” Environ. Sci. Technol. 23 (5): 496–502. https://doi.org/10.1021/es00063a001.
Mills, W. B., S. Liu, and F. K. Fong. 1991. “Literature review and model (COMET) for colloid/metals transport in porous media.” Ground Water 29 (2): 199–208. https://doi.org/10.1111/j.1745-6584.1991.tb00511.x.
Molnar, I. L., J. I. Gerhard, C. S. Willson, and D. M. O’Carroll. 2015. “The impact of immobile zones on the transport and retention of nanoparticles in porous media.” Water Resour. Res. 51 (11): 8973–8994. https://doi.org/10.1002/2015WR017167.
Nelson, K. E., and T. R. Ginn. 2011. “New collector efficiency equation for colloid filtration in both natural and engineered flow conditions.” Water Resour. Res. 47 (5). https://doi.org/10.1029/2010WR009587.
Ochiai, N., E. L. Kraft, and J. S. Selker. 2006. “Methods for colloid transport visualization in pore networks.” Water Resour. Res. 42 (12). https://doi.org/10.1029/2006WR004961.
Paswan, A., and P. K. Sharma. 2022. “Numerical analysis of spatial moment for colloid-facilitated contaminant transport through porous media.” J. Hydraul. Eng. 161 (Dec): 1–10. https://doi.org/10.1080/09715010.2022.2154619.
Paswan, A., and P. K. Sharma. 2023. “Two-dimensional modeling of colloid-facilitated contaminant transport in groundwater flow systems with stagnant zones.” Water Resour. Res. 59 (2). https://doi.org/10.1029/2022WR033130.
Rajagopalan, R., and C. Tien. 1976. “Trajectory analysis of deep-bed filtration with the sphere-in-cell porous media model.” AIChE J. 22 (3): 523–533. https://doi.org/10.1002/aic.690220316.
Russel, W. B., D. A. Saville, and W. R. Schowalter. 1991. Colloidal dispersions. Cambridge, UK: Cambridge University Press.
Saltelli, A., A. Avogadro, and G. Bidoglio. 1984. “Americium filtration in glauconitic sand columns.” Nucl. Technol. 67 (2): 245–254. https://doi.org/10.13182/NT84-A33514.
Sharma, P., N. Joshi, R. Srivastava, and C. S. P. Ojha. 2015. “Reactive transport in fractured permeable porous media.” J. Hydrol. Eng. 20 (7): 04014078. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001096.
Sharma, P. K., M. Sekhar, R. Srivastava, and C. S. P. Ojha. 2012. “Temporal moments for reactive transport through fractured impermeable/permeable formations.” J. Hydrol. Eng. 17 (12): 1302–1314. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000586.
Sharma, P. K., and R. Srivastava. 2011. “Numerical analysis of virus transport through heterogeneous porous media.” J. Hydro-environ. Res. 5 (2): 93–99. https://doi.org/10.1016/j.jher.2011.01.001.
Tufenkji, N., and M. Elimelech. 2004. “Deviation from the classical colloid filtration theory in the presence of repulsive DLVO interactions.” Langmuir 20 (25): 10818–10828. https://doi.org/10.1021/la0486638.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Wang, Y., S. A. Bradford, and J. Šimůnek. 2013. “Transport and fate of microorganisms in soils with preferential flow under different solution chemistry conditions.” Water Resour. Res. 49 (5): 2424–2436. https://doi.org/10.1002/wrcr.20174.
Yao, K.-M., M. T. Habibian, and C. R. O’Melia. 1971. “Water and waste water filtration. Concepts and applications.” Environ. Sci. Technol. 5 (11): 1105–1112. https://doi.org/10.1021/es60058a005.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 28Issue 11November 2023

History

Received: Jan 2, 2023
Accepted: Jun 30, 2023
Published online: Aug 30, 2023
Published in print: Nov 1, 2023
Discussion open until: Jan 30, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Pramod Kumar Sharma [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India (corresponding author). Email: [email protected]
Akhilesh Paswan [email protected]
Graduate Student, Dept. of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share