基于压痕试验的岩石力学参数的卡尔曼滤波反演  

Inversion of rock mechanical parameters with Kalman filter based on indentation test

作　　者：王鹏[1] 房凯[1] 赵同彬[1] 刘丽娜[1] WANG Peng;FANG Kai;ZHAO Tongbin;LIU Lina(College of Energy and Mining Engineering,Shandong University of Science and Technology,Qingdao 266590,China)

机构地区：[1]山东科技大学能源与矿业工程学院,山东青岛266590

出　　处：《山东科技大学学报（自然科学版）》2024年第4期1-11,共11页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(51974171);山东省自然科学基金项目(ZR2023ME080)。

摘　　要：压痕试验是间接评估岩体力学特性的重要方法,为了更好地利用压痕试验评估岩体力学参数,本研究采用一种基于扩展卡尔曼滤波算法的参数反演方法。基于室内压痕试验获得的荷载-压入深度曲线数据,通过弹塑性数值仿真模型构建岩体弹塑性参数与压痕曲线的响应关系,进而利用卡尔曼滤波算法实现对岩石弹塑性参数的反演和优化分析。结果表明,本研究方法具有较好的收敛性和较高的识别精度,反演得到的岩石弹性参数均值的相对误差在10%左右,塑性参数的反演结果相对误差小于20%。较传统单一经验公式方法,本研究方法具有更高的预测精度,对多种不同岩性岩体都有较好的适用性。The indentation test is an important method for indirect evaluation of rock mechanical properties.In order to better utilize the indentation test to evaluate the mechanical parameters of rock masses,this study proposed a method of parameters inversion based on the extended Kalman filter algorithm.The load-depth curve was first obtained from the indoor indentation test.Then,the response relationship between the elastic-plastic parameters of rock masses and the indentation curve was constructed through a model for numerical simulation of elastic-plastic behavior.Finally,the Kalman filter algorithm was used to achieve inversion and the optimized analysis of the elastic-plastic parameters of rocks.The results indicated that the inversion had good convergence and high accuracy of recognition,and the relative errors of the mean of elastic parameters of rocks obtained from inversion was about 10%,while the relative errors of the inversion results of plastic parameters was less than 20%.Compared with the traditional and single method of empirical formula,the method proposed in this study has higher accuracy of prediction and better applicability for rock masses with different lithology.

关 键 词：岩石力学参数 压痕试验 卡尔曼滤波 反演分析 响应面 

分 类 号：TD313[矿业工程—矿井建设]