深入研究暴雨作用下地表径流与地下渗流过程,对山洪与滑坡灾害防治意义重大.然而,迄今为止对地表与地下水流的相互作用机制的理解还极为有限.基于地表完整一维浅水动力学方程与地下二维饱和一非饱和渗流方程,建立地表径流与地下渗流耦合水动力数学模型,并分别运用WAF-TVD二阶数值格式和ADI法进行离散求解.与现有实验数据比较,结果表明该模型能更好地模拟坡地的降雨产流和下渗过程.该计算模型具有健全的物理机制,将为深入研究地表一地下水流运动过程提供理论基础,有助于增强山洪与滑坡风险预测的可靠性.
Enhanced understanding of surface runoff and underground seepage in response to rainfall is crit- ical for flash flood and landslide risk management. However, the mechanism of the interaction between the surface and groundwater flows has so far remained poorly understood. This paper presents a coupled hy- drodynamic model for surface runoff and underground seepage. The complete one-dimensional shallow wa- ter dynamic equations and the two-dimensional saturated-unsaturated seepage equations are integrated, and numerically solved respectively by the second-order total-variation-diminishing version of the weighted-av- erage-flux method (WAF-TVD) and alternating direction implicit method (ADI). Compared with available experimental data, this model can better simulate the rainfall runoff and infiltration processes over the slope. A physically based computational modelling system is facilitated for surface-ground water flows, which holds promise for flash flood and landslide risk forecasting with increased credibility.