基于模拟退火分数阶导数伯格斯模型的人工冻土蠕变研究

Study of Artificial Frozen Soil Creep Based on Simulated Annealing Fractional Order Derivative Burgers Creep Model

准确掌握人工冻土的蠕变特性对控制冻结法施工的安全具有重要意义。目前常用的冻土蠕变本构模型是经验模型和整数阶元件模型,模型中的参数大多缺乏明确的物理意义或者参数繁多。以伯格斯蠕变模型为基础,建立了参数简单且物理意义明确的人工冻土分数阶导数蠕变方程,并给出了模拟退火算法优化模型参数的过程。基于室内蠕变试验结果,分析了温度、加载应力和土质对人工冻土单轴蠕变特性的影响。并将试验结果与本次建立的蠕变模型计算结果进行比较发现,两者吻合良好。研究成果对目前国内外煤矿立井表土层施工中冻土爆破方面的研究、冻结管参数的选取、冻结壁壁厚及冻结温度的设计具有重要的基础作用。

A the safety of proper estimation of creep characteristic of artificial frozen soil is of great significance in controlling freezing method construction. The most commonly used model for frozen soil creep constitutive model is the empirical and integer order component model, but these model parameters are mostly lack of clear physical meaning or there are too many parameters. This article was based on the Burgers creep model in simulating an- nealing optimization, and an artificial frozen soil fractional derivative creep equation was established. The equa- tion was of simple parameter and clear physical meaning. Furthermore, the optimizing process of the model pa- rameters by using simulated annealing algorithm was given. Based on the laboratory creep test results, the influ- ence of temperature, loading stress and soil property on uniaxial creep property of artificial frozen soil was ana- lyzed. Compared the simulation results of artificial frozen soil creep model with test results, it can be found that the two results are in good agreement. The research results play a significant role in the study of frozen soil blast, selection of freezing pipe parameters, design of frozen wall thickness and freezing temperature？ in vertical shaft topsoil construction of coal mine shaft in the current domestic and foreign research.