Case Studies
Jul 3, 2024

Graph-Theory Metrics for the Prioritization of Water Distribution Network Assets of Tyndall AFB, Florida

Publication: Journal of Water Resources Planning and Management
Volume 150, Issue 9

Abstract

Water distribution networks, like other large infrastructure systems, must consider reliability and resilience efforts to resist and recover from failure with limited resources. Management of these assets requires a plan to prioritize the maintenance of system components, which are key to its reliability. Many current asset management practices for water distribution networks include only reactive strategies, such as fixing components after breaking, or on predetermined maintenance schedules, which might not correlate with a component’s condition or need. Asset management and graph theory principles are utilized in this study to evaluate a water distribution network and its vulnerabilities at Tyndall Air Force Base (AFB). We begin by estimating pipe condition indices and establishing the importance of each pipe through a set of graph-theoretic measures (e.g., pipe betweenness centrality and network efficiency). We next simulate two pipe failure scenarios: (1) a single pipe failure scenario, and (2) a cascading failure scenario. The outcomes of the second scenario reveal that a larger betweenness centrality equates to being a critical pipe in relation to overall system performance. Further, we estimate the risk associated with each pipe by combining pipe condition and network properties. We find that 7  km (or 6%) of pipes are at high risk, while the majority of the network’s pipes (79  km or 62%) are low risk. This study demonstrates how integrating condition indices with graph theory metrics could be employed to promote best practices in pipe maintenance and create a risk-informed framework for asset management.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions. The water distribution network is from an active military installation and is therefore sensitive in nature. Requests for the data would need to be routed through the installation itself.

Acknowledgments

Ashton Acree is funded by the Air Force Civil Engineer Center by a partnership and grant with the Air Force Institute of Technology. Adil Mounir and Christopher M. Chini are funded by Environmental Security Technology Certification Program (ESTCP) Grant No. EW21-5179.
Author contributions: Ashton Acree completed the data analysis, wrote the manuscript, and created the figures. Adil Mounir assisted with the analysis, manuscript writing, and figure generation. Christopher M. Chini conceived and supervised the project and contributed to the writing.

Disclaimer

The views expressed are those of the authors and do not necessarily reflect the official policy or position of the Department of the Air Force, the Department of Defense, or the US government.

References

Agathokleous, A., C. Christodoulou, and S. E. Christodoulou. 2017. “Topological robustness and vulnerability assessment of water distribution networks.” Water Resour. Manage. 31 (Mar): 4007–4021. https://doi.org/10.1007/s11269-017-1721-7.
Balekelayi N., and S. Tesfamariam. 2019. “Graph-theoretic surrogate measure to analyze reliability of water distribution system using Bayesian belief network–based data fusion technique.” J. Water Resour. Plann. Manage. 145 (8): 04019028. https://doi.org/10.1061/(asce)wr.1943-5452.0001087.
Bivand, R., et al. 2021. “rgdal: Bindings for the ‘Geospatial’ data abstraction library R package version 1.5-23.” Accessed February 20, 2022. https://cran.r-project.org/package=rgdal.
Brown, S. L., S. J. Schuldt, M. N. Grussing, M. A. Johnson, and J. D. Delorit. 2022. “Evaluating climatic influences on the technical performance of built infrastructure assets.” J. Perform. Constr. Facil. 36 (2): 04022004. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001707.
Butler, D., S. Ward, C. Sweetapple, M. Astaraie-Imani, K. Diao, R. Farmani, and G. Fu. 2017. “Reliable, resilient and sustainable water management: The safe and sure approach glob.” Challenges 1 (Mar): 63–77. https://doi.org/10.1002/gch2.1010.
Csardi, G., and T. Nepusz. 2006. “The igraph software package for complex network research.” Accessed February 20, 2022. https://igraph.org.
Dunn, S., G. Fu, S. Wilkinson, and R. Dawson. 2013. “Network theory for infrastructure systems modelling.” In Proc., Institution of Civil Engineers–Engineering Sustainability, 281–292. London: Thomas Telford.
El-Abbasy, M. S., T. Zayed, H. El Chanati, F. Mosleh, A. Senouci, and H. Al-Derham. 2019. “Simulation-based deterioration patterns of water pipelines.” Struct. Infrastruct. Eng. 15 (Jun): 965–982. https://doi.org/10.1080/15732479.2019.1599965.
Folkman, S. 2014. “PVC pipe longevity report.” Utah State Univ. Buried Structures Laboratory. Accessed February 20, 2022. https://www.uni-bell.org/Portals/0/E-NEWS/MediaFiles/pvc-pipe-longevity-report.pdf.
Foulds, L. R. 1992. Graph theory applications. New York: Springer.
Fournier, J.-C. 2009. Graphs theory and applications: With exercises and problems. New York: Wiley.
Giustolisi, O., L. Ridolfi, and A. Simone. 2019. “Tailoring centrality metrics for water distribution networks.” Water Resour. Res. 55 (Jun): 2348–2369. https://doi.org/10.1029/2018WR023966.
Grussing, M. N., L. Y. Liu, D. R. Uzarski, K. El-Rayes, and N. El-Gohary. 2016. “Discrete Markov approach for building component condition, reliability, and service-life prediction modeling.” J. Perform. Constr. Facil. 30 (5): 04016015. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000865.
Grussing, M. N., D. R. Uzarski, and L. R. Marrano. 2006. “Condition and reliability prediction models using the Weibull probability distribution.” In Applications of advanced technology in transportation, 19–24. Reston, VA: ASCE.
Guidotti, R., H. Chmielewski, V. Unnikrishnan, P. Gardoni, T. McAllister, and J. van de Lindt. 2016. “Modeling the resilience of critical infrastructure: The role of network dependencies.” Sustainable Resilient Infrastruct. 1 (Mar): 153–168. https://doi.org/10.1080/23789689.2016.1254999.
Heitkamp, B., and J. Marr. 2015. “Minnesota steel culvert pipe service-life map.” Accessed February 20, 2022. https://www.lrrb.org/pdf/201531.pdf.
Herrera, M., E. Abraham, and I. Stoianov. 2016. “A graph-theoretic framework for assessing the resilience of sectorised water distribution networks.” Water Resour. Manage. 30 (Mar): 1685–1699. https://doi.org/10.1007/s11269-016-1245-6.
Hwang, H., and K. Lansey. 2017. “Water distribution system classification using system characteristics and graph-theory metrics.” J. Water Resour. Plann. Manage. 143 (12): 04017071. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000850.
Kim, D. H., D. A. Eisenberg, Y. H. Chun, and J. Park. 2017. “Network topology and resilience analysis of South Korean power grid.” Physica A 465 (Jan): 13–24. https://doi.org/10.1016/j.physa.2016.08.002.
Lu, B., H. Sun, P. Harris, M. Xu, and M. Charlton. 2018. “Shp2graph: Tools to convert a spatial network into an igraph graph in r.” ISPRS Int. J. Geo-Inf. 7 (8): 293. https://doi.org/10.3390/ijgi7080293.
Mazumder, R. K., X. Fan, A. M. Salman, Y. Li, and X. Yu. 2020. “Framework for seismic damage and renewal cost analysis of buried water pipelines.” J. Pipeline Syst. Eng. Pract. 11 (4): 04020038. https://doi.org/10.1061/(asce)ps.1949-1204.0000487.
Mazumder, R. K., A. M. Salman, Y. Li, and X. Yu. 2021. “Asset management decision support model for water distribution systems: Impact of water pipe failure on road and water networks.” J. Water Resour. Plann. Manage. 147 (Mar): 1–20. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001365.
Meijer, D., J. Post, J. P. van der Hoek, H. Korving, J. Langeveld, and F. Clemens. 2021. “Identifying critical elements in drinking water distribution networks using graph theory.” Struct. Infrastruct. Eng. 17 (May): 347–360. https://doi.org/10.1080/15732479.2020.1751664.
Meijer, D., M. Van Bijnen, J. Langeveld, H. Korving, J. Post, and F. Clemens. 2018. “Identifying critical elements in sewer networks using graph-theory.” Water 10 (2): 136. https://doi.org/10.3390/w10020136.
Meng, F., G. Fu, R. Farmani, C. Sweetapple, and D. Butler. 2018. “Topological attributes of network resilience: A study in water distribution systems.” Water Res. 143 (Jun): 376–386. https://doi.org/10.1016/j.watres.2018.06.048.
Pagano, A., C. Sweetapple, R. Farmani, R. Giordano, and D. Butler. 2019. “Water distribution networks resilience analysis: A comparison between graph theory-based approaches and global resilience analysis.” Water Resour. Manage. 33 (Jun): 2925–2940. https://doi.org/10.1007/s11269-019-02276-x.
R Core Team. 2018. “R: A language and environment for statistical computing R found.” Stat. Comput. Vienna, Austria. Accessed February 20, 2022. https://www.r-project.org/.
Ritz, C., F. Baty, J. C. Streibig, and D. Gerhard. 2015. “Dose-response analysis using R.” PLoS One 10 (12): e0146021. https://doi.org/10.1371/journal.pone.0146021.
Smith, W. 2023. “BUILDER sustainment management system.” Accessed January 15, 2022. https://garverusa.com/markets/federal/builder-sustainment-management-system.
Sustainable Solutions Corporation. 2017. “Life cycle assessment of PVC water and sewer pipe and comparative sustainability analysis of pipe materials.” Accessed January 15, 2022. https://www.uni-bell.org/files/Reports/Life_Cycle_Assessment_of_PVC_Water_and_Sewer_Pipe_and_Comparative_Sustainability_Analysis_of_Pipe_Materials.pdf.
Taylor, G. 2020. “PEX vs. Copper: Which pipes are right for my home? Bobvila.” Accessed January 15, 2022. https://www.bobvila.com/articles/pex-vs-copper/.
Thomson, J., S. Flamberg, and W. Condit. 2013. Primer on condition curves for water mains. Washington, DC: USEPA.
Torres, J. M., L. Duenas-Osorio, Q. Li, and A. Yazdani. 2016. “Exploring topological effects on water distribution system performance using graph theory and statistical models.” J. Water Resour. Plann. Manage. 143 (1), 04016068. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000709.
Uptown. 2016. “Life expectancy of water distribution lines Municipal Association South Carolina.” Accessed January 31, 2022. https://www.masc.sc/uptown/03-2016/life-expectancy-water-distribution-lines.
Yazdani, A., L. Dueñas-Osorio, and Q. Li. 2013. “A scoring mechanism for the rank aggregation of network robustness.” Commun. Nonlinear Sci. Numer. Simul. 18 (Oct): 2722–2732. https://doi.org/10.1016/j.cnsns.2013.03.002.
Yazdani, A., and P. Jeffrey. 2012. “Water distribution system vulnerability analysis using weighted and directed network models.” Water Resour. Res. 48 (6): W06517. https://doi.org/10.1029/2012WR011897.
Yazdani, A., R. A. Otoo, and P. Jeffrey. 2011. “Resilience enhancing expansion strategies for water distribution systems: A network theory approach.” Environ. Modell. Software 26 (12): 1574–1582. https://doi.org/10.1016/j.envsoft.2011.07.016.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 150Issue 9September 2024

History

Received: Mar 28, 2023
Accepted: Apr 9, 2024
Published online: Jul 3, 2024
Published in print: Sep 1, 2024
Discussion open until: Dec 3, 2024

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Authors

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Ashton Acree
Graduate Student, Dept. of Systems Engineering and Management, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson Air Force Base, OH 45433.
Adil Mounir
Postdoctoral Researcher, Dept. of Systems Engineering and Management, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson Air Force Base, OH 45433.
Dept. of Systems Engineering and Management, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson Air Force Base, OH 45433; Earth Scientist, Earth Systems Predictability and Resiliency Group, Pacific Northwest National Laboratory, 902 Battelle Ave., Richland, WA 99352 (corresponding author). ORCID: https://orcid.org/0000-0002-1208-3646. Email: [email protected]

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