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摘要:
坡面形态对边坡表面应力状态影响显著，而应力状态与边坡稳定性密切相关。以往的降雨入渗模型仅考虑直线形态的边坡，并没有考虑边坡为曲线形态的情况。将Mein-Larson入渗模型与坡形函数相结合，推导降雨作用下凹形边坡的入渗函数，结合极限平衡分析方法，提出一种凹形边坡稳定性计算模型。同时根据坡形拟合与坡形简化的思路，将实际边坡分别当作成凹形边坡和直线边坡进行研究。研究结果表明：湿润锋入渗深度与降雨时间呈线性关系，湿润锋面在不同降雨时刻下均与坡面平行。将实际边坡当作凹形边坡进行分析时，其降雨入渗规律更符合实际情况；当降雨时间为10天时，浅层斜坡模型得到的计算结果为0.95，而本文计算模型与数值模拟得到的稳定性系数分别为1.004和1.003，相对误差不超过1%。因此与以往提出的计算模型相比，该模型不仅考虑了实际边坡的坡面形态，而且具有计算简便、可靠度较高等特点。
Abstract:The slope shape has a significant effect on the surface stress state of slope, and the stress state is closely related to the slope stability. The previous rainfall infiltration model only takes the slope with straight line shape into account, and did not include the slope with curve shape. Combining Mein-Larson infiltration model with slope shape function, the infiltration function of concave slope under rainfall is deduced. Combined with limit equilibrium analysis method, a calculation model of concave slope stability is proposed. At the same time, according to the idea of slope shape fitting and slope shape simplification, the actual slope is studied as concave slope and straight slope respectively. The results show that the infiltration depth of wetting front has a linear relationship with rainfall time, and the wetting front is paralleled to the slope at different rainfall time. When the actual slope is analyzed as a concave slope, the rainfall infiltration law is more in line with the actual situation; when the rainfall time is 10 days, the calculation result of the shallow slope model is 0.95, while the stability coefficients of the calculation model and the numerical simulation are 1.004 and 1.003 respectively, and the relative error is not more than 1%. Therefore, compared with the previous calculation model, this model not only takes the actual slope shape into account, but also has the characteristics of simple calculation and high reliability.
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Key words:
- rainfall infiltration /
- limit equilibrium method /
- concave slope /
- wetting front /
- slope stability
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表 1 边坡岩土及水文参数表
Table 1. Geotechnical and hydrological parameters of slope
参数 饱和黏聚力
c´/kPa饱和内摩擦角
φ´/(°)天然黏聚力
c/kPa天然内
摩擦角φ/(°)土体天然重度
γt/(kN·m−3)土体饱和重度
γsat/(kN·m−3)饱和渗透系数
Ks/(m·d−1)粉质黏土 15 21 18 24.6 20 22 0.072 变质粉砂岩 − − 4000 35 24 − − 
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