论文标题
集合卡尔曼反转方法，用于土壤结构相互作用的反问题
Ensemble Kalman Inversion method for an inverse problem in soil-structure interaction
论文作者
论文摘要
基础结构与土壤之间的相互作用已为许多工程应用开发。为了确定基础结构中的应力，需要确定土壤刚度相对于可变形板的位移W（直接问题）和Viceversa的影响，基础结构的刚度如何影响产生的沉降（反问题）。在本文中，我们处理了Winkler数学模型，并建议使用有效的集合Kalman倒置方案（EKI），该方案（EKI）迭代地正规化了逆问题的不良性。这是用于贝叶斯反问题中的正规化优化器，该颗粒在伪时间中采样，从而引入了由于这些颗粒的运动而引入运动。 EKI算法收敛到最小化目标函数的优化问题的解决方案。在这种情况下，我们显示了如何通过使用有限差异方法（FDM）结合使用的EKI方法来重建带有现有建筑物的矩形细板的Winkler子级反应系数，以离散管理方程的Biharmonic操作员。
The interaction between the foundation structures and the soil has been developed for many engineering applications. For the determination of the stress in foundation structure it is needed to determine the influence of the stiffness of soil with respect to the displacement w of the deformable plate (direct problem), and viceversa, how the stiffness of the foundation structure affects the resulting subsidence (inverse problem). In this paper, we deal with the Winkler mathematical model and propose to use an efficient Ensemble Kalman Inversion scheme (EKI) that regularizes iteratively the ill-posedness of the inverse problem. It is a regularizing optimizer used in Bayesian inverse problems that samples particles in pseudo-time introducing a motion due to the movement of these particles. The EKI algorithm converges to the solution of an optimization problem that minimizes the objective function. In this context we show how to reconstruct the Winkler subgrade reaction coefficient of a rectangular thin plate loaded with an existing building by using the EKI methodology combined by the finite difference method (FDM) to discretize the biharmonic operator of the governing equations.
