Technical Papers
Jun 19, 2023

Analytical Model for the Design of Permeable Reactive Barriers Considering Solute Transport in a Dual-Domain System

Publication: Journal of Environmental Engineering
Volume 149, Issue 9

Abstract

A permeable reactive barrier (PRB) is an effective groundwater in situ remediation technology, and the design methods used for PRBs are significant in ensuring that they meet remediation goals. Steady-state analytical solutions are an effective tool to provide conservative and simple design methods. A steady-state analytical solution is proposed to describe organic contaminant transport through the PRB and aquifer in a PRB and cut-off wall system. The proposed analytical solution may serve as an effective tool to provide conservative and simple design methods. The shape factor (S) is introduced at the PRB-aquifer interface to investigate the effects of a PRB’s layout forms on its performance. The results show that the relative contaminant concentration at the point of compliance for a PRB with S=8 is 11 orders of magnitude larger than that without considering the shape factor. Effects of degradation, dispersion, and advection on PRB design are subjected to dimensionless analysis. Dimensionless analysis shows that degradation plays a key role in decreasing contaminant concentration in the PRB. In addition, increasing advection may promote contaminant transport from the source to the aquifer. Simplified solutions to estimate PRB thickness and source remediation time are derived for the practical design and performance evaluation of the PRB system.

Get full access to this article

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

Data Availability Statement

All data are available from the authors upon reasonable request.

Acknowledgments

Financial support from the Pioneer and Leading Goose Programs of Zhejiang (2022C03051), the National Natural Science Foundation of China (Grant Nos. 52278375, 41977223, and 41931289), the National Key R&D Program of China (Grant Nos. 2018YFC1802303 and 2019YFC1806005), the Natural Science Foundation of Zhejiang Province (Grant No. LR20E080002), and the Overseas Expertise Introduction Project for Discipline Innovation (111project) (Grant No. B18047) is greatly appreciated.
Author contributions: Haijian Xie: conceptualization, funding acquisition, project administration, resources, supervision, and writing (review and editing). Mengzhen Yu: conceptualization, investigation, methodology, visualization, and writing (original draft, review, and editing). Huaxiang Yan: conceptualization, resources, supervision, and writing (original draft, review, and editing). Hywel Rhys Thomas: review and editing. Yunmin Chen: review and editing. Yun Chen: review and editing.

References

Amoako-Nimako, G. K., X. Yang, and F. Chen. 2021. “Denitrification using permeable reactive barriers with organic substrate or zero-valent iron fillers: Controlling mechanisms, challenges, and future perspectives.” Environ. Sci. Pollut. Res. 28 (17): 21045–21064. https://doi.org/10.1007/s11356-021-13260-7.
Birke, V., H. Burmeier, and D. Rosenau. 2003. “Design, construction, and operation of tailored permeable reactive barriers.” Pract. Period. Hazard. Toxic Radioact. Waste Manage. 7 (4): 264–280. https://doi.org/10.1061/(ASCE)1090-025X(2003)7:4(264).
Bortone, I., S. Chianese, A. Erto, A. Di Nardo, C. De Crescenzo, D. Karatza, G. F. Santonastaso, and D. Musmarra. 2019. “An optimized configuration of adsorptive wells for the remediation of an aquifer contaminated by multiple aromatic hydrocarbon pollutants.” Sci. Total Environ. 696 (Dec): 133731. https://doi.org/10.1016/j.scitotenv.2019.133731.
Carey, M. A., B. A. Fretwell, N. G. Mosley, and J. W. N. Smith. 2002. Guidance on the use of permeable reactive barriers for remediating contaminated groundwater. National Groundwater and Contaminated Land Centre Rep. No. NC/01/51. Bristol, UK: UK Environment Agency.
Chen, H., E. Park, and C. Hu. 2018. “A design solution of PRB with multispecies transport based on a multi-domain system.” Environ. Earth Sci. 77 (18): 1–7. https://doi.org/10.1007/s12665-018-7804-9.
Chen, J. S., S. Y. Hsu, M. H. Li, and C. W. Liu. 2016. “Assessing the performance of a permeable reactive barrier–aquifer system using a dual-domain solute transport model.” J. Hydrol. 543 (Dec): 849–860. https://doi.org/10.1016/j.jhydrol.2016.11.002.
Chen, L., F. Liu, Y. Liu, H. Dong, and P. J. Colberg. 2011. “Benzene and toluene biodegradation down gradient of a zero-valent iron permeable reactive barrier.” J. Hazard. Mater. 188 (1–3): 110–115. https://doi.org/10.1016/j.jhazmat.2011.01.076.
Craig, J. R., A. J. Rabideau, and R. Suribhatla. 2006. “Analytical expressions for the hydraulic design of continuous permeable reactive barriers.” Adv. Water Resour. 29 (1): 99–111. https://doi.org/10.1016/j.advwatres.2005.05.006.
Elder, C. R., and C. H. Benson. 2018. “Performance and economic comparison of PRB types in heterogeneous aquifers.” Environ. Geotech. 6 (4): 214–224. https://doi.org/10.1680/jenge.17.00063.
Faisal, A. A. H., A. H. Sulaymon, and Q. M. Khaliefa. 2018. “A review of permeable reactive barrier as passive sustainable technology for groundwater remediation.” Int. J. Environ. Sci. Technol. 15 (5): 1123–1138. https://doi.org/10.1007/s13762-017-1466-0.
Fatemi, F., L. Liu, O. K. Mahabadi, and M. Satish. 2008. “Investigating the effect of implementing heating rods within a ZVI-PRB to enhance performance, improve design and reduce costs.” Water. Air Soil Pollut. 190 (1): 231–243. https://doi.org/10.1007/s11270-007-9596-5.
Fetter, C. W., T. Boving, and D. Kreamer. 2017. Contaminant hydrogeology. Long Grove, IL: Waveland Press.
Filz, G. M., M. A. Widdowson, and J. C. Little. 2001. “Barrier-controlled monitored natural attenuation.” Environ. Sci. Tech. 35 (15): 3225–3230. https://doi.org/10.1021/es001633g.
Gelhar, L. W., C. Welty, and K. R. Rehfeldt. 1992. “A critical review of data on field-scale dispersion in aquifers.” Water Resour. Res. 28 (7): 1955–1974. https://doi.org/10.1029/92WR00607.
Guan, Q., F. Li, X. Chen, C. Tian, C. Liu, and D. Liu. 2019. “Assessment of the use of a zero-valent iron permeable reactive barrier for nitrate removal from groundwater in the alluvial plain of the Dagu River, China.” Environ. Earth Sci. 78 (7): 1–12. https://doi.org/10.1007/s12665-019-8247-7.
Hudak, P. F. 2008. “Numerical modeling assessment of three-gate structures for capturing contaminated groundwater.” Environ. Geol. 55 (6): 1311–1317. https://doi.org/10.1007/s00254-007-1079-x.
Jeen, S. W. 2018. “Sensitivity analyses for modeling evolving reactivity of granular iron for the treatment of trichloroethylene.” Water 10 (12): 1878. https://doi.org/10.3390/w10121878.
Jun, D., Y. S. Zhao, W. H. Zhang, and M. Hong. 2009. “Laboratory study on sequenced permeable reactive barrier remediation for landfill leachate-contaminated groundwater.” J. Hazard. Mater. 161 (1): 224–230. https://doi.org/10.1016/j.jhazmat.2008.03.086.
Klammler, H., and K. Hatfield. 2008. “Analytical solutions for flow fields near continuous wall reactive barriers.” J. Contam. Hydrol. 98 (1–2): 1–14. https://doi.org/10.1016/j.jconhyd.2008.01.005.
Klammler, H., and K. Hatfield. 2009. “Analytical solutions for the flow fields near funnel-and-gate reactive barriers with hydraulic losses.” Water Resour. Res. 45 (2): W02423. https://doi.org/10.1029/2008WR007452.
Klammler, H., K. Hatfield, M. M. Mohamed, I. V. Perminova, and M. Perlmutter. 2014. “Capture and release zones of permeable reactive barriers under the influence of advective–dispersive transport in the aquifer.” Adv. Water Resour. 69 (Jul): 79–94. https://doi.org/10.1016/j.advwatres.2014.03.010.
Kocabas, I., and M. Bulbul. 2015. “Modeling solute/contaminant transport in heterogeneous aquifers.” Environ. Sci. Pollut. Res. 22 (5): 3298–3313. https://doi.org/10.1007/s11356-014-3827-2.
Kornilovych, B., M. Wireman, S. Ubaldini, D. Guglietta, Y. Koshik, B. Caruso, and I. Kovalchuk. 2018. “Uranium removal from groundwater by permeable reactive barrier with zero-valent iron and organic carbon mixtures: Laboratory and field studies.” Metals 8 (6): 408. https://doi.org/10.3390/met8060408.
Lai, K. C., I. M. Lo, V. Birkelund, and P. Kjeldsen. 2006. “Field monitoring of a permeable reactive barrier for removal of chlorinated organics.” J. Environ. Eng. 132 (2): 199–210. https://doi.org/10.1061/(ASCE)0733-9372(2006)132:2(199.
Maitra, S. 2019. “Permeable reactive barrier: A technology for groundwater remediation—A mini review.” Biodegradation 80 (9): 203. https://doi.org/10.26479/2019.0501.21.
Masood, Z. B., and Z. T. A. Ali. 2020. “Numerical modeling of two-dimensional simulation of groundwater protection from lead using different sorbents in permeable barriers.” Environ. Eng. Res. 25 (4): 605–613. https://doi.org/10.4491/eer.2019.237.
Medawela, S., and B. Indraratna. 2020. “Computational modelling to predict the longevity of a permeable reactive barrier in an acidic floodplain.” Comput. Geotech. 124 (Aug): 103605. https://doi.org/10.1016/j.compgeo.2020.103605.
Mieles, J., and H. Zhan. 2012. “Analytical solutions of one-dimensional multispecies reactive transport in a permeable reactive barrier-aquifer system.” J. Contam. Hydrol. 134 (Jan): 54–68. https://doi.org/10.1016/j.jconhyd.2012.04.002.
Muchitsch, N., T. Van Nooten, L. Bastiaens, and P. Kjeldsen. 2011. “Integrated evaluation of the performance of a more than seven year old permeable reactive barrier at a site contaminated with chlorinated aliphatic hydrocarbons (CAHs).” J. Contam. Hydrol. 126 (3–4): 258–270. https://doi.org/10.1016/j.jconhyd.2011.08.007.
Neuman, S. P., and Y. K. Zhang. 1990. “A quasi-linear theory of non-Fickian and Fickian subsurface dispersion: 1. Theoretical analysis with application to isotropic media.” Water Resour. Res. 26 (5): 887–902. https://doi.org/10.1029/WR026i005p00887.
Painter, B. D. M. 2004. “Reactive barriers: Hydraulic performance and design enhancements.” Ground Water 42 (4): 609–617. https://doi.org/10.1111/j.1745-6584.2004.tb02629.x.
Park, E., and H. Zhan. 2009. “One-dimensional solute transport in a permeable reactive barrier-aquifer system.” Water Resour. Res. 45 (7): 1–5. https://doi.org/10.1029/2008WR007155.
Rabideau, A. J., R. Suribhatla, and J. R. Craig. 2005. “Analytical models for the design of iron-based permeable reactive barriers.” J. Environ. Eng. 131 (11): 1589–1597. https://doi.org/10.1061/(ASCE)0733-9372(2005)131:11(1589).
Singh, R., S. Chakma, and V. Birke. 2020. “Numerical modelling and performance evaluation of multi-permeable reactive barrier system for aquifer remediation susceptible to chloride contamination.” Groundwater Sustainable Dev. 10 (Apr): 100317. https://doi.org/10.1016/j.gsd.2019.100317.
Song, J., G. Huang, D. Han, Q. Hou, L. Gan, and M. Zhang. 2021. “A review of reactive media within permeable reactive barriers for the removal of heavy metal(loid)s in groundwater: Current status and future prospects.” J. Cleaner Prod. 319 (Oct): 128644. https://doi.org/10.1016/j.jclepro.2021.128644.
Thakur, A. K., M. Vithanage, D. B. Das, and M. Kumar. 2020. “A review on design, material selection, mechanism, and modelling of permeable reactive barrier for community-scale groundwater treatment.” Environ. Technol. Innovation 19 (Aug): 100917. https://doi.org/10.1016/j.eti.2020.100917.
Thiruvenkatachari, R., S. Vigneswaran, and R. Naidu. 2008. “Permeable reactive barrier for groundwater remediation.” J. Ind. Eng. Chem. 14 (2): 145–156. https://doi.org/10.1016/j.jiec.2007.10.001.
Thomas, H. R., M. Sedighi, and P. J. Vardon. 2012. “Diffusive reactive transport of multicomponent chemicals under coupled thermal, hydraulic, chemical and mechanical conditions.” Geotech. Geol. Eng. 30 (4): 841–857. https://doi.org/10.1007/s10706-012-9502-9.
Torres, E., P. Gómez, A. Garralón, B. Buil, M. J. Turrero, and J. Peña. 2017. “Evaluation of the efficiency of a clay permeable reactive barrier for the remediation of groundwater contaminated with Cs137.” Procedia Earth Planet. Sci. 17 (Jan): 444–447. https://doi.org/10.1016/j.proeps.2016.12.112.
USEPA. 2015. “National primary drinking water regulations.” Accessed January 9, 2023. https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations.
Wilkin, R. T., S. D. Acree, R. R. Ross, R. W. Puls, T. R. Lee, and L. L. Woods. 2014. “Fifteen-year assessment of a permeable reactive barrier for treatment of chromate and trichloroethylene in groundwater.” Sci. Total Environ. 468 (Jan): 186–194. https://doi.org/10.1016/j.scitotenv.2013.08.056.
Xie, H., Q. Wang, J. Wu, and Y. Chen. 2019. “Analytical model for methane migration through fractured unsaturated landfill cover soil.” Eng. Geol. 255 (May): 69–79. https://doi.org/10.1016/j.enggeo.2019.04.018.
Xie, H., S. Wang, Y. Chen, J. Jiang, and Z. Qiu. 2018. “An analytical model for contaminant transport in cut-off wall and aquifer system.” Environ. Geotech. 7 (7): 457–466. https://doi.org/10.1680/jenge.18.00021.
Xie, H., H. Yan, S. Feng, Q. Wang, and P. Chen. 2016. “An analytical model for contaminant transport in landfill composite liners considering coupled effect of consolidation, diffusion, and degradation.” Environ. Sci. Pollut. Res. 23 (19): 19362–19375. https://doi.org/10.1007/s11356-016-7147-6.
Yaws, C. L. 2014. “Diffusion coefficient at infinite dilution in water–organic compounds.” In Transport properties of chemicals and hydrocarbons, 614–703. Houston: Gulf Publishing Company.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 149Issue 9September 2023

History

Received: Sep 2, 2022
Accepted: Apr 11, 2023
Published online: Jun 19, 2023
Published in print: Sep 1, 2023
Discussion open until: Nov 19, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Haijian Xie [email protected]
Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou, Zhejiang 310058, China. Email: [email protected]
Mengzhen Yu [email protected]
Graduate Student, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou, Zhejiang 310058, China. Email: [email protected]
Huaxiang Yan [email protected]
Research Fellow, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou, Zhejiang 310058, China (corresponding author). Email: [email protected]
Hywel Rhys Thomas [email protected]
Professor, Geoenvironmental Research Centre, Cardiff School of Engineering, Cardiff Univ., Cardiff CF24 3AA, UK. Email: [email protected]
Yunmin Chen [email protected]
Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou, Zhejiang 310058, China. Email: [email protected]
Professor, Architectural Design and Research Institute of Zhejiang Univ. Co. Ltd., 148 Tianmushan Rd., Hangzhou 310028, China. 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