分形几何理论在岩土边坡稳定性分析中的应用

本文利用岩土边坡的位移监测资料，依据关联维数Ｄ２的原理，确定了状态空间维数的充分和必要值，然后，依据Ｒｅｎｙｉ熵Ｋ２的原理，提出了和Ｋ２和Ｋ２来分析岩土边坡的稳定性和稳定程度，并结合碧口水电站库区青崖岭滑坡的位移监测资料，分析了滑坡的稳定状态，得到与实际一致的结论。

Application of fractal geometry theory in stability analysis of rock and soil slope

In this paper,on the basis of displacement monitoring data and the theory of related dimensions D2,the ample and necessary value of the state space dimensions or the dimensions of the phase space of attracive factors and their principal effect factors are defined, Furthemore, based upon the law of Renyi entropy K2, the method of analysis of the stability and stability degree of rock and soil slope is proposed by use of the K2 and |K2|, The method is applied to the analysis of the monitoring data of Qing Yaling slide in the Bikou Reservir. It is shown that the analysis result is consistent with the actual situation.