基于GGSO和有限元的土坡稳定性计算研究

针对传统土坡稳定性系数试算过于粗糙、未考虑岩土体应力应变特征的不足等问题,以提出一种更为合理的边坡稳定性计算方法为目标,对标准的萤火虫算法(Glowworm Swarm Optimization,GSO)进行改进,加入高斯白噪声扰动策略,增强了算法的全局寻优能力,提出一种改进萤火虫算法(Gauss Glowworm Swarm Optimization,GGSO)。通过标准函数测试表明了新方法的有效性。三个标准函数的测试结果显示:GGSO的寻优效果较GSO大幅度提升;通过有限元应力法计算土坡稳定性系数,并以圆心和半径为自变量,将边坡稳定性计算转化为一个完备的数学优化问题,该优化问题可通过GGSO求解。通过均质土坡和非均质土坡算例验证提出方法的有效性,结果表明:提出的边坡稳定性计算方法能够获得合理的边坡稳定性系数值。最后将提出的边坡稳定性计算方法用于许卡滑坡土质边坡的稳定性计算之中。研究成果对土坡稳定性分析具有一定的参考价值。

GGSO and FEM-based study on calculation of earth slope stability

Aiming at the problems of too rough trial calculation，out of consideration of the insufficient stress-strain property of rock and earth mass，etc. and targeting at putting a more reasonable calculation method of slope stability forward，the standard Glowworm Swarm Optimization algorithm ( GSO) is improved herein by adding Gauss white noise disturbance strategy，from which the global optimization ability of the algorithm is enhanced and then an improved Glowworm Swarm Optimization algorithm ( GGSO) is proposed as well. Moreover，the effectiveness of the new method is demonstrated through the testing of standard function. The testing results of three standard functions show that the optimization effect of GGSO is much better than that of GSO. Through calculating the stability coefficient of earth slope with the finite element stress method and taking circle center radius as independent variables，the slope stability calculation is transformed into a complete mathematical optimization problem which can be solved by GGSO. The effectiveness of the proposed method is verified by the relevant calculations made on homogeneous earth slope and heterogeneous earth slope; from which the result shows that reasonable value of the slope stability coefficient can be obtained by the proposed method. Finally，the method proposed herein is applied to the stability calculation of the earth slope of Xuka Landslide. The study result has a certain referential value for the analysis on the stability of earth slope.