Python-based steady-state groundwater model

Jun Ho Kim; Seok Jun Lee; Jong Jin Jung; Kyung Hwan Heo; Seolyeong Lee

doi:10.3741/JKWRA.2025.58.2.119

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2025 Vol.58, Issue 2 Preview Page Next Page

Research Article

Python-based steady-state groundwater model 파이썬 기반 정류 상태 지하수 유동 모델

28 February 2025. pp. 119-127

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Abstract

In this study, a steady-state groundwater flow model based on the finite difference method was developed using Python. The numerical solution of the three-dimensional groundwater flow equation, i.e., the hydraulic head, was calculated using the finite difference method, which is relatively easy to understand in principle and applies to the field. A groundwater simulation was performed for the Middle Jeju, East Jeju, and West Jeju watersheds of Jeju Island, and the validity of the model was examined by comparing the observed head and head calculated by MODFLOW. The coefficient of determination of the observed head and computed heads from the MODFLOW and the FDM Python Model developed in this study were 0.9427 and 0.9429, respectively, showing that the FDM Python Model showed a higher similarity with the observed head. In addition, the coefficient of determination of the head calculated by MODFLOW and FDM Python Model was 0.9997, indicating that the Python-based groundwater flow model developed in this study is expected to be helpful in the optimal development of groundwater resources and management of contaminants.

Keywords

Groundwater flow

Finite difference method

Coefficient of determination

본 연구에서는 파이썬을 이용하여 유한차분법 기반의 정류 상태 지하수 유동 모델을 구축하였다. 비교적 원리를 이해하기 쉽고 현장 적용에 용이한 유한차분법을 사용하여 3차원 지하수 유동 방정식의 수치해석적 해, 즉 수두를 계산하였다. 제주도의 중제주, 동제주, 서제주 유역을 대상으로 지하수 흐름 모사를 수행하였으며, 모델의 타당성은 관측 수두 및 MODFLOW로 계산된 수두와 비교하여 검토하였다. MODFLOW 및 본 연구에서 개발한 FDM 파이썬 모델로 계산된 수두와 관측 수두의 결정계수는 각각 0.9427, 0.9429로 FDM 파이썬 모델이 관측 수두와 좀 더 높은 유사성을 보였다. 또한, MODFLOW와 FDM 파이썬 모델로 계산된 수두의 결정계수는 0.9997로 향후 본 연구에서 개발한 파이썬 기반 지하수 유동 모델을 사용하여 지하수 자원의 최적 개발과 오염원 관리에 도움이 될 수 있을 것으로 기대된다.

키워드

지하수 흐름

유한차분법

결정계수

References

Bakker, M. (2014). "Python scripting: The return to programming." Groundwater, Vol. 52, No. 6, pp. 821-822.

10.1111/gwat.1226925227404

Bakker, M., Post, V., Langevin, C.D., Hughes, J.D., White, J.T., Starn, J.J., and Fienen, M.N. (2016). "Scripting MODFLOW model development using Python and Flopy." Groundwater, Vol. 54, No. 5, pp. 733-739.

10.1111/gwat.1241327027984

Choi, Y.Y. (2003). "Koreanized analysis system development for groundwater flow interpretation." Journal of the Korean Society of Hazard Mitigation, Vol. 3, No. 3, pp. 151-164.

Craig, J.R., and Rabideau, A.J. (2006). "Finite difference modeling of contaminant transport using analytic element flow solutions." Advances in Water Resources, Vol. 29, No. 7, pp. 1075-1087.

10.1016/j.advwatres.2005.08.010

Daoud, M.G., Lubczynski, M.W., Vekerdy, Z., and Francés, A.P. (2022). "Application of a novel cascade-routing and reinfiltration concept with a Voronoi unstructured grid in MODFLOW 6, for an assessment of surface-water/groundwater interactions in a hard-rock catchment (Sardon, Spain)." Hydrogeology Journal, Vol. 30, No. 3, pp. 899-925.

10.1007/s10040-021-02430-z

Hahn, J.S. (1998). Groundwater environment and pollution. Pakyoungsa.

Hahn, J.S., and Hahn, C. (1999). 3D groundwater model and applications. Pakyoungsa.

Jeong, J.Y., Yoon, J.H., and Lee, C.H. (2016). "Analysis of the effects of grid and time discretization on groundwater contaminant transport simulation." Proceedings of the Korean Radioactive Waste Society Conference, Vol. 14, No. 2, pp. 269-270.

Kim, M.C. (2018). Hydraulic watershed classification and flow characteristics analysis of groundwater in Jeju Island. Ph. D. Dissertation, Jeju National University.

Kim, M.K. (2003). "Development of the GIS based pre-and post- processing tool for the Visual MODFLOW groundwater flow modeling." Journal of the Korean Association of Geographic Information Studies, Vol. 6, No. 2, pp. 65-79.

Korea Institute of Geoscience and Mineral Resources (KIGAM) (2008). Integrated analysis of groundwater occurrence in Jeju.

Lee, B.C., An, S.S., Jeong, D.J., and Seo, M.J. (2007). "Groundwater flow analysis in island regions using a numerical model." Proceedings of the Korean Environmental Sciences Society Conference, Vol. 16, No. 1, pp. 264-268.

Lee, S.S., Kim, J.S., and Kim, D.J. (1999). "Groundwater flow modeling for a finite unconfined sandy aquifer in a laboratory scale." Journal of the Korean Society of Groundwater Environment, Vol. 6, No. 4, pp. 188-193.

McDonald, M.G., and Harbaugh, A.W. (1988). A modular three- dimensional finite-difference ground-water flow model. Techniques of Water-Resources Investigations Report, Book 6, Chapter A1, U.S. Geological Survey, Reston, VA, U.S., p. 528.

Park, C., Seo, J., Lee, J., Ha, K., and Koo, M.H. (2014). "A distributed water balance approach to groundwater recharge estimation for Jeju volcanic island, Korea." Geosciences Journal, Vol. 18, pp. 193-207.

10.1007/s12303-013-0063-6

Park, Y.C. (2007). "Modeling of solute transport by the element-free Galerkin method." Journal of the Geological Society of Korea, Vol. 43, No. 1, pp. 107-117.

Yoon, H., Yoon, P., Lee, E., Kim, G., and Moon, S.H. (2016). "Application of machine learning technique-based time series models for prediction of groundwater level fluctuation to national groundwater monitoring network data." Journal of the Geological Society of Korea, Vol. 52, No. 3, pp. 187-199.

10.14770/jgsk.2016.52.3.187

Information

Publisher :KOREA WATER RESOURECES ASSOCIATION
Publisher(Ko) :한국수자원학회
Journal Title :Journal of Korea Water Resources Association
Journal Title(Ko) :한국수자원학회 논문집
Volume : 58
No :2
Pages :119-127
Received Date : 2024-11-11
Revised Date : 2024-12-09
Accepted Date : 2024-12-26
DOI :https://doi.org/10.3741/JKWRA.2025.58.2.119

Journal of Korea Water Resources Association ISSN:2799-8746(Print) 2799-8754(Online) 한국수자원학회 논문집

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