Identification of arch dam mechanical parameters based on sensitivity analysis and Hooke–Jeeves algorithm optimization

Abstract

To address the problem in which the mechanical parameters of a dam’s body and foundation are affected by a complex environment and changes during the service period, this study proposes an arch dam mechanical parameter inversion technique based on the sensitivity analysis of the Morris method and the Hooke–Jeeves algorithm. First, a Kriging mathematical model that reflects the nonlinear mapping relationship between the radial displacement of an arch dam and the mechanical parameters of an arch dam’s body and foundation is established. The sensitivity of the mechanical parameters of an arch dam and its foundation to the radial displacement of an arch dam is analyzed on the basis of the Morris method, and the mechanical parameters to be inverted are determined. Second, an optimization mathematical model based on the Kriging mathematical model is proposed to calculate the mechanical parameters of a dam’s body and foundation and the inversion of the displacement of an arch dam. The inversion problem of the mechanical parameters of a dam’s body and foundation is transformed into an optimization problem of the objective function. Finally, the Hooke–Jeeves algorithm is used to optimize the objective function, and the mechanical parameters of a dam’s body and foundation are inversely obtained. The case study shows that the relative errors of the mechanical parameters of the arch dam retrieved using the proposed method are all within 10%. Results indicate that the proposed parameter identification method is reasonable and effective. It provides a new idea for the parameter inversion of other hydraulic structures.