扩张卡尔曼滤波器有限元法耦合算法及其隧道工程应用

本文用随机过程和最优估计理论分析隧道围岩随开挖的非确定性动态，将卡尔曼滤波器的滤波修正---不断产生新息量功能与有限元法的迭代计算、场域分析功能进行耦合，建立了能反映围岩动态非线性随机过程的耦合算法模型，并开发出具有可操作性的算法程序（ＥＫＦＦＥＭ）。本文以现场量测值为观测量的集合，以初始地应力和弹性模量等为过程状态量，对隧道围岩历时动态进行非确定性计算分析，揭示了围岩动态过程具有随机性的本质，进而为工程设计与施工提供依据

Coupling Algorithm of Extended Kalman Filter FEM and Its Application in Tunnel Engineering

The nondeterminative dynamics of surrounding rock along with the excavation of tunnel are analysed using the stochastic process and optimal estimation Combining the functions of filtering modification and innovation production of Kalman filter with the iterative calculation and the zone analysis in FEM, the author has set up an extended Kalman filter-FEM algorithmic model that can reflect dynamic nonlinear stochastic process in surrounding rock, and worked out the algorithmic program (EKFFEM) with operability