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Estimation of the Interaction Between Groundwater and Surface Water Based on Flow Routing Using an Improved Nonlinear Muskingum-Cunge Method

Author

Listed:
  • Chengpeng Lu

    (Hohai University)

  • Keyan Ji

    (Hohai University)

  • Wanjie Wang

    (Hohai University)

  • Yong Zhang

    (University of Alabama)

  • Tema Koketso Ealotswe

    (Hohai University)

  • Wei Qin

    (Hohai University)

  • Jiayun Lu

    (Hohai University)

  • Bo Liu

    (Hohai University)

  • Longcang Shu

    (Hohai University)

Abstract

The interaction between groundwater (GW) and surface water (SW) not only sustains runoff in dry seasons but also plays an important role in river floods. Lateral inflow is the recharge of groundwater to surface water during a river flood; this recharge is part of the GW-SW exchange. Hydrological engineers proposed the idea of modelling flood routing using the Muskingum-Cunge method, in which the GW-SW exchange is not fully considered. This study proposes an improved nonlinear Muskingum-Cunge flood routing model that considers lateral inflow; the new method is denoted as NMCL1 and NMCL2 and can simulate flood routing and calculate the GW-SW exchange. In addition, both the linear and nonlinear lateral inflows (with the channel inflows) are discussed, and the stable lateral inflows that occur due to the GW-SW exchange are considered for the first time. A sensitivity analysis shows that different parameters have different effects on the simulation results. Three different flood cases documented in the literature are selected to compare the four classical and two updated Muskingum-Cunge methods. Two different floods of the River Wye are selected to verify the accuracy of the calibrated model. The simulation results of the improved Muskingum-Cunge method are compared with the temperature inversion results measured from the Zhongtian River, China, to indicate the feasibility and reliability of the improved method. A comparison shows that, for several cases, the proposed method is capable of obtaining optimal simulation results. The proposed method inherits the ability of the Maskingum-Cunge method to simulate flood routing. Moreover, it can quantify the GW-SW exchange, and the reliability of the estimations is owed to the nonlinearity and sign flexibility of the calculated exchange process.

Suggested Citation

  • Chengpeng Lu & Keyan Ji & Wanjie Wang & Yong Zhang & Tema Koketso Ealotswe & Wei Qin & Jiayun Lu & Bo Liu & Longcang Shu, 2021. "Estimation of the Interaction Between Groundwater and Surface Water Based on Flow Routing Using an Improved Nonlinear Muskingum-Cunge Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2649-2666, June.
    • Handle: RePEc:spr:waterr:v:35:y:2021:i:8:d:10.1007_s11269-021-02857-9
    DOI: 10.1007/s11269-021-02857-9
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    References listed on IDEAS

    as
    1. Wanlong Yang & Jun Wang & Jueyi Sui & Fangxiu Zhang & Baosen Zhang, 2019. "A Modified Muskingum Flow Routing Model for Flood Wave Propagation during River Ice Thawing-Breakup Period," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(14), pages 4865-4878, November.
    2. Ling Kang & Liwei Zhou & Song Zhang, 2017. "Parameter Estimation of Two Improved Nonlinear Muskingum Models Considering the Lateral Flow Using a Hybrid Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(14), pages 4449-4467, November.
    3. Dariusz Gąsiorowski & Romuald Szymkiewicz, 2020. "Identification of Parameters Influencing the Accuracy of the Solution of the Nonlinear Muskingum Equation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(10), pages 3147-3164, August.
    4. Chengpeng Lu & Keyan Ji & Yong Zhang & Jan H. Fleckenstein & Chunmiao Zheng & Kate Salsky, 2020. "Event-Driven Hyporheic Exchange during Single and Seasonal Rainfall in a Gaining Stream," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4617-4631, December.
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    Cited by:

    1. Zekâi Şen, 2021. "Reservoirs for Water Supply Under Climate Change Impact—A Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(11), pages 3827-3843, September.
    2. Wen-chuan Wang & Wei-can Tian & Dong-mei Xu & Kwok-wing Chau & Qiang Ma & Chang-jun Liu, 2023. "Muskingum Models’ Development and their Parameter Estimation: A State-of-the-art Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(8), pages 3129-3150, June.
    3. Raaghul Kumar & Munshi Md. Shafwat Yazdan, 2022. "Evaluating Preventive Measures for Flooding from Groundwater: A Case Study," J, MDPI, vol. 6(1), pages 1-16, December.

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