Volume 44 Issue 12
Dec.  2023
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CHEN Yuanqiang, ZHENG Hong, QU Xin. A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1499-1511. doi: 10.21656/1000-0887.440115
Citation: CHEN Yuanqiang, ZHENG Hong, QU Xin. A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1499-1511. doi: 10.21656/1000-0887.440115

A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method

doi: 10.21656/1000-0887.440115
  • Received Date: 2023-04-17
  • Rev Recd Date: 2023-06-15
  • Publish Date: 2023-12-01
  • The infiltration-runoff processes of slopes during rainfall were of significance in the mechanism study of rainfall-induced landslides, debris flows, and other geological disasters. To realize the numerical simulation of the whole rainfall infiltration-runoff process and further improve the computation efficiency, a coupling model and its total governing equations were derived from the 1D kinematic wave equation and the 2D h-based Richards' equation, with the rainfall infiltration surface deemed as the internal domain of the runoff and the seepage. Then the numerical manifold method (NMM) was used to solve the total governing equations, and the computation program was compiled to simulate the rainfall infiltration-runoff processes of slopes. The numerical analysis results showed that, the coupling model solution is in good agreement with the experimental data and previous results, verifying the validity and reliability of the proposed model. The higher the rainfall intensity is, the earlier the runoff producing time will be; the deeper the ponding depth is, and the wider the influence range on the water distribution within the slope will be. The proposed model can truly reflect the whole rainfall infiltration-runoff process of the slope, and provides a calculation basis for the analysis of various geological disasters induced by rainfall.
  • (Contributed by ZHENG Hong, M. AMM Editorial Board)
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