考虑围岩共同承载作用时井壁受力响应空间弹性力学分析

3-D Elastic Analysis for Shaft Ling Considering the Combined Bearing Capacity of the Surrounding Rock

煤炭资源的开发利用离不开立井建设,立井建设中的井壁设计应该充分考虑围岩作为共同承载结构的作用。本文针对井壁和围岩的共同承载特征,建立空间轴对称弹性力学模型;通过将模型分解,分别求解各子模型下的应力解答,随后将各子模型下的应力解答叠加,得到井壁-围岩共同承载空间弹性力学模型的解答。通过算例分析了不同围岩弹性模量时围岩-井壁的共同承载特性:围岩弹性模量较高时,考虑共同承载后作用在井壁的地压大幅减少,井壁等效应力也大幅减小;围岩弹性模量较低时,考虑共同承载后作用在井壁上的地压未有明显减小,井壁等效应力同样变化不大。围岩性质较好时,应充分利用围岩共同承载,减小井壁厚度;围岩性质较差时,围岩的共同承载对井壁安全性提高作用不大。论文的研究成果可以为不同围岩的井壁设计提供理论指导。

The exploration of coal needs the construction of vertical shaft,and the design of the shaft lining should consider the combined bearing capacity of the surrounding rock.This paper considers combined bearing capacity of the surrounding rock,and establishes 3-D elastic model to describe the process;though decomposition of the model,the stress solution can be obtained by solving each submodel and adding the solution of each sub-model.Computational examples are presented to investigate the combined bearing capacity for surrounding rocks with different elastic moduli.If the elastic modulus of surrounding rock is high,the earth pressure acting on the shaft lining reduces greatly when the combined bearing effect of surrounding rock is considered,and also the equivalent stress in the shaft reduces greatly;if the elastic modulus is low,the earth pressure acting on the shaft lining has no great reduction when the combined bearing effect of surrounding rock is considered,and also the equivalent stress in the shaft has no great change.In situations that the surrounding rock has good mechanical properties,the combined bearing capacity of surrounding rock should be utilized,and the shaft lining thickness can be reduced;in situations that the surrounding rock has poor mechanical properties,the combined bearing capacity of surrounding rock has no great effect on improving the security of vertical shaft.The research results of this paper can provide theoretical guidance for shaft lining design of different surrounding rocks.