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利用开挖扰动实测位移，提出了求解边坡各介质弹性模量的反分析模型。同时针对目标函数的多极值性、收敛结果与初值相关等问题，提出了一种反分析优化算法。该方法一方面利用线弹性问题的尺度特性减少了一个优化变量；另一方面通过递归技术将多变量优化问题转换为一系列的单变量优化问题，并使收敛结果与初值无关。算例验证了方法的适用性。
Based on the measured displacement of the excavation disturbance, an inverse analysis model for solving the elastic moduli of each medium in the slope was proposed. At the same time, an inverse analysis optimization algorithm is proposed for the problems of multi-extreme value of the objective function, the convergence result and the initial value. On one hand, the method uses the scale characteristics of the linear elasticity problem to reduce an optimization variable. On the other hand, the multivariate optimization problem is transformed into a series of univariate optimization problems through recursive techniques, and the convergence result is independent of the initial value. Examples verify the applicability of the method.