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中文摘要：
基坑变形的反分析涉及数值模型与优化方法的耦合，常具有计算量大、使用不方便的特点。为此，提出1种可用于基坑变形反分析的多重响应面法，该方法在基坑地下连续墙不同深度处分别采用二次多项式表示地下连续墙水平位移与土层弹性模量之间的隐式关系，在此基础上利用位移观测对基坑土层弹性模量进行反分析。该方法可以解开数值模型和优化算法的耦合，从而具有较高的计算效率。工程应用实例表明，多重响应面法对基坑土层弹性模量进行反分析具有使用方便、计算效率高、计算结果准确的优点，非常适合求解基坑工程的位移反演问题。
英文摘要：
Back analysis of displacements of excavation involves the coupling of numerical model and optimization method, which is computationally intensive and inconvenient. This paper proposes a multiple response surface method （MRSM） for back analyzing displacements of excavation. MRSM uses quadratic polynomial to express the implicit relationship between the horizontal displacements of the underground diaphragm wall and the soil elasticity modulus at different depths of the underground diaphragm wall of the excavation; and based on that, the back analysis of the elastic modulus of the excavation is undergone with the displacement observation. This method uncouples the numerical model and optimization method so as to attain a higher calculating efficiency. Using spreadsheets makes computational process more convenient. This method is utilized in the back analysis of two excavation cases. We can get convergence result by only three-step iteration in case 1. The predicted trend of the horizontal displacement of underground diaphragm wall is coincided with practical data. The predicted depth of the maximum horizontal displacement approaches the actual measurement. Engineering application cases prove that the MRSM is reliable in displacement back analysis in excavation construction with its features of convenience, high calculating efficiency and accuracy.
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