Based on the intensity distribution of continuous atomized rain, a coupled mathematical model of slope runoff and seepage and its numerical simulation method were established. According to the test results, the continuous distribution of atomized rain intensity corresponding to the elevation on the slope is obtained; the one-dimensional kinematic wave model is used as the slope runoff equation to describe the slope runoff of atomized rain acting on the slope, and the flow velocity of slope runoff is expressed by the Manning-Strickler formula; the saturated-unsaturated seepage equation is used to describe the groundwater seepage in the slope when atomized rain infiltrates into the slope. Unified boundary conditions are used to couple the runoff field and seepage field in the slope for the flow velocity and water head on the slope. The Galerkin finite element method is used to numerically simulate the slope seepage and slope runoff process when atomized rain affects the bank slope. The method is applied to a practical engineering slope, and the results show that the method can analyze the slope infiltration under the condition of flood discharge atomized rain, and can accurately simulate the slope infiltration process of atomized rain coupled with runoff and seepage.
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