Rainwater Harvesting System Analysis for Semi-Arid Climate: A Daily Linear Programming Model
Yıl 2024,
, 1 - 28, 01.09.2024
Mustafa Ruso
,
Bertuğ Akıntuğ
,
Elcin Kentel
Öz
Rainwater harvesting has proven to be an alternative water supply scheme for sustainable water management of regions with limited water resources. In this paper, a linear programming (LP) model with daily time steps, which minimizes a rooftop rainwater harvesting system (RWHS) cost, is developed and used to calculate the optimum RWH tank size. The developed LP model is applied to the semi-arid Northern Cyprus in the Eastern Mediterranean. The analysis is carried out for 33 sites which receive average annual rainfall ranging from 292 mm to 548 mm to evaluate the spatial effect of rainfall characteristic and the water cost on the financial feasibility and performance of the RWHS. At 29 out of 33 sites, RWHS investments are found to be financially feasible with discounted payback periods ranging from 12 to 28 years. The optimum RWH tank sizes are determined to be between 2 m3 and 6 m3 resulting in up to 20 % reliability with more than 50 m3 of average annual water savings per house. It is observed that the cost of water is a critical factor that affects the financial feasibility and water savings of a RWHS, especially in regions with limited rainfall. The comparison of the developed daily LP model with an LP model with monthly time steps demonstrates that the financial feasibility and the optimum tank size can only be assessed realistically when daily time steps are used. Finally, the sensitivity analysis shows that the discounted payback period is highly sensitive to the collector area.
Kaynakça
- UN (United Nations). (2015). International decade for action water for life 2005-2015. Retrieved July 25, 2020, from https://www.un.org/waterforlifedecade/water_and_sustainable_development.shtml
- Solomon, H., & Smith, H. H. (2007). Effectiveness of mandatory law of cistern construction for rainwater harvesting on supply and demand of public water in the U.S. Virgin Islands. Seventh Caribbean Islands Water Resources Congress, University of The Virgin Islands, St. Croix, USVI (pp. 75-80).
- Han, M., & Ki, J. (2010). Establishment of sustainable water supply system in small islands through rainwater harvesting (RWH): Case study of Guja-do. Water Science and Technology, 62(1), 148-153. https://doi.org/10.2166/wst.2010.299
- Wallace, C. D., Bailey, R. T., & Arabi, M. (2015). Rainwater catchment system design using simulated future climate data. Journal of Hydrology, 529, 1798-1809. https://doi.org/10.1016/j.jhydrol.2015.08.006
- Quigley, N., Beavis, S. G., & White, I. (2016). Rainwater harvesting augmentation of domestic water supply in Honiara, Solomon Islands. Australian Journal of Water Resources, 20(1), 65-77. https://doi.org/10.1080/13241583.2016.1173314
- Donohue, M. J., Macomber, P. S., Okimoto, D., & Lerner, D. T. (2017). Survey of Rainwater Catchment Use and Practices on Hawaii Island. Journal of Contemporary Water Research & Education, 161(1), 33-47. https://doi.org/10.1111/j.1936-704x.2017.3250.x
- Bailey, R. T., Beikmann, A., Kottermair, M., Taboroši, D., & Jenson, J. W. (2018). Sustainability of rainwater catchment systems for small island communities. Journal of Hydrology, 557, 137-146. https://doi.org/10.1016/j.jhydrol.2017.12.016
- Ruso, M. (2021). Rainwater Harvesting Analysis for Northern Cyprus [M.S. - Master of Science]. Middle East Technical University – Northern Cyprus Campus.
- Jamali, B., Bach, P. M., & Deletic, A. (2020). Rainwater harvesting for urban flood management - An integrated modelling framework. Water Research, 171, 115372. https://doi.org/10.1016/j.watres.2019.115372
- van Dijk, S., Lounsbury, A. W., Hoekstra, A. Y., & Wang, R. (2020). Strategic design and finance of rainwater harvesting to cost-effectively meet large-scale urban water infrastructure needs. Water Research, 184, 116063. https://doi.org/10.1016/j.watres.2020.116063
- Abdulla, F. A., & Al-Shareef, A. (2009). Roof rainwater harvesting systems for household water supply in Jordan. Desalination, 243(1-3), 195-207. https://doi.org/10.1016/j.desal.2008.05.013
- Wang, C.-H., & Blackmore, J. M. (2012). Supply–Demand Risk and resilience assessment for household rainwater harvesting in Melbourne, Australia. Water Resources Management, 26(15), 4381–4396. https://doi.org/10.1007/s11269-012-0150-x
- Pelak, N., & Porporato, A. (2016). Sizing a rainwater harvesting cistern by minimizing costs. Journal of Hydrology, 541, 1340-1347. https://doi.org/10.1016/j.jhydrol.2016.08.036
- Kwon, Y., Hwang, J., & Seo, Y. (2018). Performance of a RBSN under the RCP scenarios: A case study in South Korea. Sustainability, 10(4), 1242. https://doi.org/10.3390/su10041242
- Park, D., & Um, M. J. (2018). Sustainability index evaluation of the rainwater harvesting system in six US urban cities. Sustainability, 10(2), 280. https://doi.org/10.3390/su10010280
- Khastagir, A., & Jayasuriya, N. (2011). Investment Evaluation of Rainwater Tanks. Water Resources Management, 25(14), 3769-3784. https://doi.org/10.1007/s11269-011-9883-1
- Roebuck, R. M., Oltean-Dumbrava, C., & Tait, S. (2011). Whole life cost performance of domestic rainwater harvesting systems in the United Kingdom. Water and Environment Journal, 25(3), 355–365. https://doi.org/10.1111/j.1747-6593.2010.00230.x
- Ward, S., Memon, F., & Butler, D. (2012). Performance of a large building rainwater harvesting system. Water Research, 46(16), 5127-5134. https://doi.org/10.1016/j.watres.2012.06.043
- Fernandes, L. F., Terêncio, D. P., & Pacheco, F. A. (2015). Rainwater harvesting systems for low demanding applications. Science of The Total Environment, 529, 91-100. https://doi.org/10.1016/j.scitotenv.2015.05.061
- Morales-Pinzón, T., Rieradevall, J., Gasol, C. M., & Gabarrell, X. (2015). Modelling for economic cost and environmental analysis of rainwater harvesting systems. Journal of Cleaner Production, 87, 613-626. https://doi.org/10.1016/j.jclepro.2014.10.021
- Karim, M. R., Bashar, M. Z., & Imteaz, M. A. (2015). Reliability and economic analysis of urban rainwater harvesting in a megacity in Bangladesh. Resources, Conservation and Recycling, 104, 61–67. https://doi.org/10.1016/j.resconrec.2015.09.010
- Lopes, V. A., Marques, G. F., Dornelles, F., & Medellin-Azuara, J. (2017). Performance of rainwater harvesting systems under scenarios of non-potable water demand and roof area typologies using a stochastic approach. Journal of Cleaner Production, 148, 304-313. https://doi.org/10.1016/j.jclepro.2017.01.132
- Bashar, M. Z., Karim, M. R., & Imteaz, M. A. (2018). Reliability and economic analysis of urban rainwater harvesting: A comparative study within six major cities of Bangladesh. Resources, Conservation and Recycling, 133, 146–154. https://doi.org/10.1016/j.resconrec.2018.01.025
- Karim, M. R., Sakib, B. M., Sakib, S. S., & Imteaz, M. A. (2021). Rainwater harvesting potentials in commercial buildings in Dhaka: Reliability and economic analysis. Hydrology, 8(1), 9. https://doi.org/10.3390/hydrology8010009
- Ghisi, E., Bressan, D. L., & Martini, M. (2007). Rainwater tank capacity and potential for potable water savings by using rainwater in the residential sector of southeastern Brazil. Building and Environment, 42(4), 1654-1666. https://doi.org/10.1016/j.buildenv.2006.02.007
- Aladenola, O. O., & Adeboye, O. B. (2010). Assessing the Potential for Rainwater Harvesting. Water Resources Management, 24(10), 2129-2137. https://doi.org/10.1007/s11269-009-9542-y
- Basinger, M., Montalto, F., & Lall, U. (2010). A rainwater harvesting system reliability model based on nonparametric stochastic rainfall generator. Journal of Hydrology, 392(3-4), 105-118. https://doi.org/10.1016/j.jhydrol.2010.07.039
- Rahman, A., Keane, J., & Imteaz, M. A. (2012). Rainwater harvesting in Greater Sydney: Water savings, reliability and economic benefits. Resources, Conservation and Recycling, 61, 16-21. https://doi.org/10.1016/j.resconrec.2011.12.002
- Imteaz, M. A., Ahsan, A., & Shanableh, A. (2013). Reliability analysis of rainwater tanks using daily water balance model: Variations within a large city. Resources, Conservation and Recycling, 77, 37–43. https://doi.org/10.1016/j.resconrec.2013.05.006
- Bocanegra-Martínez, A., Ponce-Ortega, J. M., Nápoles-Rivera, F., Serna-González, M., Castro-Montoya, A. J., & El-Halwagi, M. M. (2014). Optimal design of rainwater collecting systems for domestic use into a residential development. Resources, Conservation and Recycling, 84, 44-56. https://doi.org/10.1016/j.resconrec.2014.01.001
- García-Montoya, M., Bocanegra-Martínez, A., Nápoles-Rivera, F., Serna-González, M., Ponce-Ortega, J. M., & El-Halwagi, M. M. (2015). Simultaneous design of water reusing and rainwater harvesting systems in a residential complex. Computers & Chemical Engineering, 76, 104-116. https://doi.org/10.1016/j.compchemeng.2015.02.011
- Sample, D. J., & Liu, J. (2014). Optimizing rainwater harvesting systems for the dual purposes of water supply and runoff capture. Journal of Cleaner Production, 75, 174-194. https://doi.org/10.1016/j.jclepro.2014.03.075
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Rainwater Harvesting System Analysis for Semi-Arid Climate: A Daily Linear Programming Model
Yıl 2024,
, 1 - 28, 01.09.2024
Mustafa Ruso
,
Bertuğ Akıntuğ
,
Elcin Kentel
Öz
Rainwater harvesting has proven to be an alternative water supply scheme for sustainable water management of regions with limited water resources. In this paper, a linear programming (LP) model with daily time steps, which minimizes a rooftop rainwater harvesting system (RWHS) cost, is developed and used to calculate the optimum RWH tank size. The developed LP model is applied to the semi-arid Northern Cyprus in the Eastern Mediterranean. The analysis is carried out for 33 sites which receive average annual rainfall ranging from 292 mm to 548 mm to evaluate the spatial effect of rainfall characteristic and the water cost on the financial feasibility and performance of the RWHS. At 29 out of 33 sites, RWHS investments are found to be financially feasible with discounted payback periods ranging from 12 to 28 years. The optimum RWH tank sizes are determined to be between 2 m3 and 6 m3 resulting in up to 20 % reliability with more than 50 m3 of average annual water savings per house. It is observed that the cost of water is a critical factor that affects the financial feasibility and water savings of a RWHS, especially in regions with limited rainfall. The comparison of the developed daily LP model with an LP model with monthly time steps demonstrates that the financial feasibility and the optimum tank size can only be assessed realistically when daily time steps are used. Finally, the sensitivity analysis shows that the discounted payback period is highly sensitive to the collector area.
Teşekkür
The authors of this study thank to the Meteorological Authority of Northern Cyprus for providing the necessary rainfall data and we would also like to thank to Prof. Dr. Hasan Güngör for his valuable discussions.
Kaynakça
- UN (United Nations). (2015). International decade for action water for life 2005-2015. Retrieved July 25, 2020, from https://www.un.org/waterforlifedecade/water_and_sustainable_development.shtml
- Solomon, H., & Smith, H. H. (2007). Effectiveness of mandatory law of cistern construction for rainwater harvesting on supply and demand of public water in the U.S. Virgin Islands. Seventh Caribbean Islands Water Resources Congress, University of The Virgin Islands, St. Croix, USVI (pp. 75-80).
- Han, M., & Ki, J. (2010). Establishment of sustainable water supply system in small islands through rainwater harvesting (RWH): Case study of Guja-do. Water Science and Technology, 62(1), 148-153. https://doi.org/10.2166/wst.2010.299
- Wallace, C. D., Bailey, R. T., & Arabi, M. (2015). Rainwater catchment system design using simulated future climate data. Journal of Hydrology, 529, 1798-1809. https://doi.org/10.1016/j.jhydrol.2015.08.006
- Quigley, N., Beavis, S. G., & White, I. (2016). Rainwater harvesting augmentation of domestic water supply in Honiara, Solomon Islands. Australian Journal of Water Resources, 20(1), 65-77. https://doi.org/10.1080/13241583.2016.1173314
- Donohue, M. J., Macomber, P. S., Okimoto, D., & Lerner, D. T. (2017). Survey of Rainwater Catchment Use and Practices on Hawaii Island. Journal of Contemporary Water Research & Education, 161(1), 33-47. https://doi.org/10.1111/j.1936-704x.2017.3250.x
- Bailey, R. T., Beikmann, A., Kottermair, M., Taboroši, D., & Jenson, J. W. (2018). Sustainability of rainwater catchment systems for small island communities. Journal of Hydrology, 557, 137-146. https://doi.org/10.1016/j.jhydrol.2017.12.016
- Ruso, M. (2021). Rainwater Harvesting Analysis for Northern Cyprus [M.S. - Master of Science]. Middle East Technical University – Northern Cyprus Campus.
- Jamali, B., Bach, P. M., & Deletic, A. (2020). Rainwater harvesting for urban flood management - An integrated modelling framework. Water Research, 171, 115372. https://doi.org/10.1016/j.watres.2019.115372
- van Dijk, S., Lounsbury, A. W., Hoekstra, A. Y., & Wang, R. (2020). Strategic design and finance of rainwater harvesting to cost-effectively meet large-scale urban water infrastructure needs. Water Research, 184, 116063. https://doi.org/10.1016/j.watres.2020.116063
- Abdulla, F. A., & Al-Shareef, A. (2009). Roof rainwater harvesting systems for household water supply in Jordan. Desalination, 243(1-3), 195-207. https://doi.org/10.1016/j.desal.2008.05.013
- Wang, C.-H., & Blackmore, J. M. (2012). Supply–Demand Risk and resilience assessment for household rainwater harvesting in Melbourne, Australia. Water Resources Management, 26(15), 4381–4396. https://doi.org/10.1007/s11269-012-0150-x
- Pelak, N., & Porporato, A. (2016). Sizing a rainwater harvesting cistern by minimizing costs. Journal of Hydrology, 541, 1340-1347. https://doi.org/10.1016/j.jhydrol.2016.08.036
- Kwon, Y., Hwang, J., & Seo, Y. (2018). Performance of a RBSN under the RCP scenarios: A case study in South Korea. Sustainability, 10(4), 1242. https://doi.org/10.3390/su10041242
- Park, D., & Um, M. J. (2018). Sustainability index evaluation of the rainwater harvesting system in six US urban cities. Sustainability, 10(2), 280. https://doi.org/10.3390/su10010280
- Khastagir, A., & Jayasuriya, N. (2011). Investment Evaluation of Rainwater Tanks. Water Resources Management, 25(14), 3769-3784. https://doi.org/10.1007/s11269-011-9883-1
- Roebuck, R. M., Oltean-Dumbrava, C., & Tait, S. (2011). Whole life cost performance of domestic rainwater harvesting systems in the United Kingdom. Water and Environment Journal, 25(3), 355–365. https://doi.org/10.1111/j.1747-6593.2010.00230.x
- Ward, S., Memon, F., & Butler, D. (2012). Performance of a large building rainwater harvesting system. Water Research, 46(16), 5127-5134. https://doi.org/10.1016/j.watres.2012.06.043
- Fernandes, L. F., Terêncio, D. P., & Pacheco, F. A. (2015). Rainwater harvesting systems for low demanding applications. Science of The Total Environment, 529, 91-100. https://doi.org/10.1016/j.scitotenv.2015.05.061
- Morales-Pinzón, T., Rieradevall, J., Gasol, C. M., & Gabarrell, X. (2015). Modelling for economic cost and environmental analysis of rainwater harvesting systems. Journal of Cleaner Production, 87, 613-626. https://doi.org/10.1016/j.jclepro.2014.10.021
- Karim, M. R., Bashar, M. Z., & Imteaz, M. A. (2015). Reliability and economic analysis of urban rainwater harvesting in a megacity in Bangladesh. Resources, Conservation and Recycling, 104, 61–67. https://doi.org/10.1016/j.resconrec.2015.09.010
- Lopes, V. A., Marques, G. F., Dornelles, F., & Medellin-Azuara, J. (2017). Performance of rainwater harvesting systems under scenarios of non-potable water demand and roof area typologies using a stochastic approach. Journal of Cleaner Production, 148, 304-313. https://doi.org/10.1016/j.jclepro.2017.01.132
- Bashar, M. Z., Karim, M. R., & Imteaz, M. A. (2018). Reliability and economic analysis of urban rainwater harvesting: A comparative study within six major cities of Bangladesh. Resources, Conservation and Recycling, 133, 146–154. https://doi.org/10.1016/j.resconrec.2018.01.025
- Karim, M. R., Sakib, B. M., Sakib, S. S., & Imteaz, M. A. (2021). Rainwater harvesting potentials in commercial buildings in Dhaka: Reliability and economic analysis. Hydrology, 8(1), 9. https://doi.org/10.3390/hydrology8010009
- Ghisi, E., Bressan, D. L., & Martini, M. (2007). Rainwater tank capacity and potential for potable water savings by using rainwater in the residential sector of southeastern Brazil. Building and Environment, 42(4), 1654-1666. https://doi.org/10.1016/j.buildenv.2006.02.007
- Aladenola, O. O., & Adeboye, O. B. (2010). Assessing the Potential for Rainwater Harvesting. Water Resources Management, 24(10), 2129-2137. https://doi.org/10.1007/s11269-009-9542-y
- Basinger, M., Montalto, F., & Lall, U. (2010). A rainwater harvesting system reliability model based on nonparametric stochastic rainfall generator. Journal of Hydrology, 392(3-4), 105-118. https://doi.org/10.1016/j.jhydrol.2010.07.039
- Rahman, A., Keane, J., & Imteaz, M. A. (2012). Rainwater harvesting in Greater Sydney: Water savings, reliability and economic benefits. Resources, Conservation and Recycling, 61, 16-21. https://doi.org/10.1016/j.resconrec.2011.12.002
- Imteaz, M. A., Ahsan, A., & Shanableh, A. (2013). Reliability analysis of rainwater tanks using daily water balance model: Variations within a large city. Resources, Conservation and Recycling, 77, 37–43. https://doi.org/10.1016/j.resconrec.2013.05.006
- Bocanegra-Martínez, A., Ponce-Ortega, J. M., Nápoles-Rivera, F., Serna-González, M., Castro-Montoya, A. J., & El-Halwagi, M. M. (2014). Optimal design of rainwater collecting systems for domestic use into a residential development. Resources, Conservation and Recycling, 84, 44-56. https://doi.org/10.1016/j.resconrec.2014.01.001
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