基于双曲线函数的岩石三轴强度回归预测模型  

Regression prediction model for triaxial strength of rock based on hyperbolic function

作　　者：李斌[1] 王鹏 李佳伦 Li Bin;Wang Peng;Li Jialun(School of Environment and Resources,Southwest University of Science and Technology,Mianyang Sichuan 621010,China)

机构地区：[1]西南科技大学环境与资源学院,四川绵阳621010

出　　处：《化工矿物与加工》2023年第7期34-38,47,共6页Industrial Minerals & Processing

基　　金：国家自然科学基金项目(51904248)。

摘　　要：随着采矿活动愈来愈深入地壳,岩层中岩石破坏造成的影响越来越大,准确获取岩石破坏时的强度对于指导工程施工和安全生产尤为重要。为了提高岩石在不同围压条件下三轴压缩破坏强度的预测精度,根据砂岩三轴强度曲线的非线性特征,利用回归预测方法推导建立了基于双曲线函数的岩石三轴压缩强度回归预测模型,对该模型进行了4个指标的检验,初步证明了其合理性;进一步将该预测模型与H-B准则和M-C准则进行比较,结果表明,该模型预测值的平均相对误差仅为5.15%,而H-B准则为11.44%,M-C准则为14.34%,显然该模型的预测精度更高。该岩石强度预测模型可为地下工程结构设计提供参考。As mining operation continues deeper and deeper inside the Earth's crust,the impact of rock failure in rock stratum is worse.To accurately obtain the strength of rock in case of failure is an important task for guiding project construction and safety of mining production.In order to improve the accuracy of predicting rock triaxial compression strength in case of failure at different confining pressures,according to the nonlinear characteristics of triaxial strength curve for sandstone,a regression prediction model for triaxial compression strength of rock based on Hyperbola function was established by using the regression prediction method,four indexes of the prediction model were tested for proving the rationality of the model.Comparing results from the prediction model with the H-B criterion and M-C criterion,the results show that the average relative error of the predicted values with the model was 5.15%,while the one of H-B criterion was 11.44%,and the one of M-C criterion was 14.34%.As a result,the prediction accuracy of the model was remarkable.The rock strength prediction model can be provided as reference for structural design of underground works.

关 键 词：三轴强度试验 双曲线函数 回归预测模型 岩石破坏强度 非线性 强度准则 

分 类 号：TU451[建筑科学—岩土工程]