The Journal of Engineering Geology (지질공학)

The Korean Society of Engineering Geology (대한지질공학회)
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Applicability and Limitations of Groundwater Yield Estimation Equations for Radial Collector Wells

방사형 집수정의 취수량 추정식의 적용성 및 한계점 고찰

  • Kim, Gyoo-Bum (Department of Construction Safety and Disaster Prevention, Daejeon University) ;
  • Lee, Ho-Jeong (Department of Construction Safety and Disaster Prevention, Daejeon University) ;
  • Choi, Myoung-Rak (Department of Construction Safety and Disaster Prevention, Daejeon University)
  • 김규범 (대전대학교 건설안전방재공학과) ;
  • 이호정 (대전대학교 건설안전방재공학과) ;
  • 최명락 (대전대학교 건설안전방재공학과)
  • Received : 2018.07.20
  • Accepted : 2018.09.13
  • Published : 2018.09.30
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Abstract

Radial collector wells have been widely used for large-capacity groundwater development in riparian environments, and many empirical equations have been developed for initial estimates of groundwater yield. We compare the initial yield estimates produced by several empirical equations for the radial collector well at the Anseongcheon stream site. The results of Babac's, Kordas', and Petrovic's methods are similar to the actual yield of $6,124m^3/d$, but Milojevic's method predicts a higher yield than the observed value. The conditions under which these methods are applicable explain the observed differences between the actual and estimated yields. The applicability of empirical equations is evaluated by changing the input variables of distance from well to river, number of horizontal wells, thickness of aquifer, length of horizontal well, and hydraulic conductivity. The results indicate that the conditions under which each method is applicable must be considered carefully when estimating groundwater yield, and hydraulic conductivity must be estimated accurately.

하천변에서의 대용량 강변여과수 개발은 방사형 집수정을 통하여 주로 이루어지는데, 초기 취수량의 산정을 위한 다양한 경험식이 개발되어 왔다. 안성천에 설치된 방사형 집수정을 대상으로 경험식을 활용한 초기 취수량을 추정한 결과, Babac, Kordas 및 Petrovic 방법은 실제 취수량 $6,124m^3/d$과 유사하나 Milojevic 방법은 상대적으로 차이가 큰 것으로 나타났다. 이는 각 방법별 적용 조건의 차이에 기인한 것으로 보인다. 각 방법의 입력 인자인 하천에서 집수정까지의 거리, 수평정의 개수, 대수층의 두께, 수평정의 길이, 수리전도도 등의 변화에 따른 추정식의 적용성을 분석한 결과, 각 방법별로 일정 조건하에서의 추정식 사용이 요구되며, 특히 수리전도도는 취수량 결정에 매우 중요하므로 정확한 산정이 필요함을 보여준다.

Keywords

References

  1. Abweser, C., 1950, Die wissenschaftlichen, technischen und wasserwirtschaftlichen Grundlagen fur den Bau von Horizontalbrunnen, Bauzeitung, 47.
  2. Aitchison, J., Brown, J.A.C., 1981, The Lognormal Distribution with Special Reference to Its Uses in Econonmics. Cambridge University Press, London.
  3. Babac, D., 1965, Zakonitosti opadanja izdasnosti Ranney bunara na Beogradskom izvoristu. Izgradnja.
  4. Bradu, D., Mundlak, Y., 1970, Estimation in lognormal linear models. Journal of American Statistical Association, 65(329), 198-211. https://doi.org/10.1080/01621459.1970.10481074
  5. Carrier, W.D., 2003, Goodbye, Hazen; Hello, Kozeny-Carman. Journal of Geotechnical and Geoenvironmental Engineering, 129, 1054-1056. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:11(1054)
  6. Falcke, F., 1952, Versuche uber die stromungsvorgange an brunnen mit horizontalen Fassungsstrangen unter Berucksichtigung des einflusses der geometrischen und physykalischen Veranderlichen. Dissretation, Karlsruhe.
  7. Grischek, T., Bartak, R., 2016, Riverbed clogging and sustainability of riverbank filtration, Water, 8, 604, doi:10.3390/ w8120604.
  8. Haefeli, R., Zeller, J., 1953, Three - dimensional Seepage - tests with viscous fluids. -eme Congres International de Mechanique des Sols, 1, 137-141.
  9. Hamm, S.Y., Cheong, J.Y., Ryu, S.M., Kim, M.J., Kim, H.S., 2002, Hydrogeological characteristics of bank storage area in Daesan-Myeon, Changwon City, Korea, Journal of the Geological Socitey of Korea, 38(4), 595-610 (in Korean with English abstract).
  10. Hantush, M.S., 1964, Hydraulics of wells, in: Advances in Hydroscience, V.T. Chow (editor). Academic Press, New York, 281-442.
  11. Kasenow, M., 2002, Determination of Hydraulic Conductivity from Grain Size Analysis. Water Resources Publications, LLC, Highlands Ranch, Colorado, 97.
  12. Kim, H.S., Hahn, C., Ryu, J.A., Park, H.Y., Oh, S.H., Choi, Y.K., Kim, S.J., 1999, Research on the Groundwater Recharge and Increase of Usage, Korea Water Resources Corporation, WRRI-GG-99-1, 198 (in Korean).
  13. Kim, T.H., Lee, C.H., Lee, J.H., Oh, D.H., Kim, G.B., 2016, Estimation of groundwater yield at a horizontal well using soil characteristics at riverbank filtration site, Journal of the Geological Society of Korea, 52(3), 291-301 (in Korean with English abstract). https://doi.org/10.14770/jgsk.2016.52.3.291
  14. Kordas, B., 1960, Calcul debit des puits a drains rayonnants places dans la nappe artesienne. Conference on Hydraulics, Budapest, Hungary.
  15. Masoudiashtiani, S., Peralta, R.C., Banihabib, M.E., 2016, Radial collector well empirical equations comparison. 2nd International Conference on Sustainable Development, Strategies and Challenges With a Focus on Agriculture, Natural Resources, Environment and Tourism, 23-25 Feb, Tabriz, Iran.
  16. Milojevic, M., 1963, Radial collector wells adjacent to the riverbank. Journal of the Hydraulic Division, Proceedings of the American Society of Civil Engineers, 89(6), 133-151.
  17. Moore, R., Kelson, V., Wittman, J., Rash, V., 2011, A modeling framework for the design of collector wells. Ground Water, 50(3), 355-366.
  18. Odong, J., 2013, Evaluation of empirical formulare for determination of hydraulic conductivity based on grain size analysis. International Journal of Agriculture and Environment, 4(1), 1-8.
  19. Patel, H.M., Eldho, T.I., Rastogi, A.K., 2010, Simulation of radial collector well in shallow alluvial riverbed aquifer using analytic element model. Journal of Irrigation and Drainage Engineering, ASCE, 136(2), 107-119. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000141
  20. Petrovic, S., 1956, Snabdevanje Naselja Vodom, Water Supplies, Beograd, Serbia.
  21. Ulrich, C., Hubbard, S.S., Florsheim, J., Rosenberry, D., Borglin, S., Trotta, M., Seymour, D., 2015, Riverbed clogging associated with a California riverbank filtration system: an assessment of mechanisms and monitoring approaches. Journal of Hydrology, 529, 1740-1753. https://doi.org/10.1016/j.jhydrol.2015.08.012
  22. Varadi, Z., 2013, Analytical calculation methods of riverbank filtration: An overview, 1st Global Virtual Conference, 573-578.
  23. Vukovic, M., Soro, A., 1992, Determination of Hydraulic Conductivity of Porous Media from Grain Size Composition. Water Resources Publication, Littleton, Colorado, 83.