基于层次分析-可拓理论评价岩质岸坡稳定性

为了研究岩质岸坡的安全稳定问题，以云南玉楚高速绿汁江特大桥玉溪岸某岩质岸坡为例，运用层次分析与可拓物元理论相结合的方法，建立边坡稳定性评价物元模型，确定其稳定安全等级。通过层次分析法计算出各评价指标权系数后，结合可拓理论构造出的有序三元组，形成多因素关联度函数，进行模型的物元可拓分析，获取边坡最终的安全分级结果。结果表明：边坡的安全等级为Ⅳ级，处于不稳定状态。同时，运用FLAC3D有限差分软件对边坡进行数值计算，得出安全系数Fs=0.98，为不稳定边坡。两种方法的分析结果一致，进而论证了层次分析-可拓理论评价模型的可靠性，也为岩质岸坡的稳定性评价提供了一种新的决策方法。

Evaluation of Rock Bank Slope Stability Based on Analytic Hierarchy Process-Extension Theory

In order to study the stability of rock bank slope, here taking a rock bank slope along Yuxi'an of Lvzhijiang Grand Bridge on Yuxi—Chuxiong Expressway in Yunnan Province as an example, a matter-element model for slope stability evaluation was established by means of analytic hierarchy process and extension matter-element theory to determine the safety class. After the weight coefficient of each evaluation index was calculated through analytic hierarchy process and, together with an ordered triple constructed through extension theory, the multifactor correlation function was formed to carry out matter-element extension analysis on the model and then to acquire the final result of safety classification of the slope. The result shows that the safety of slope is Class IV, it is in the state of instability. At the same time, with the numerical calculation by FLAC3D finite difference software, it is solved that the safety coefficient of the slope is F_s=0.98, hence the slope is unstable. The results of two methods are the same, proving the reliability of analytic hierarchy process-extension theory evaluation model. Furthermore, it offers a new method for stability evaluation of rock bank slope.