ISSN 1000-3665 CN 11-2202/P

    基于弹塑性理论的层状岩体隧道围岩塑性区初探

    Tunnel surrounding rock plastic zone in the layered rock mass with the elastoplastic theory

    • 摘要: 针对目前隧道围岩塑性区的理论研究主要聚焦于各向同性岩体圆形隧道,而对工程中常见的层状岩体隧道研究甚少的不足,采用理论方法对其进行研究。首先,基于Kastner提出的圆形隧道围岩塑性区计算方法,引入统一强度理论及围岩-支护结构相互作用机理,建立了能够同时考虑σ2及围岩-支护结构相互作用的各向同性岩体圆形隧道围岩塑性区计算模型。其次,根据层状岩体在压缩荷载下的变形及破坏模式,借鉴前人研究成果得到了层状岩体在压缩荷载下的等效抗剪强度参数和变形参数计算方法。最后,将上述计算方法代入能够同时考虑σ2及围岩-支护结构相互作用的各向同性岩体圆形隧道围岩塑性区计算模型,建立相应的层状岩体圆形隧道围岩塑性区计算模型,并进行了算例分析。结果表明层状岩体围岩塑性区具有很强的方向性和对称性,在平行或垂直层理面方向,围岩塑性区分别为最大或最小。随着层理面摩擦角及黏聚力和中间主应力系数(b)的增加,围岩塑性区均逐渐减小,但其减小程度逐渐降低。而随着层理面弹性模量的增加,围岩塑性区则逐渐增大,但其增加幅度逐渐减小并趋于某一定值。以层理面摩擦角为例,当其由10°分别增加至15°、20°、25°、30°时,围岩塑性区面积由97.04 m2分别减小至67.95,50.90,39.74,31.85 m2,减小幅度分别为29.98%、25.09%、21.93%、19.85%,即减小幅度依次降低,这说明当随着层理面摩擦角的增加,其对隧道围岩塑性区的影响逐渐降低。研究成果可为层状岩体隧道建设提供有益参考。

       

      Abstract: Existing theoretical studies on the plastic zone of tunnel surrounding rock mainly focus on the circular tunnel in the isotropic rock mass, with limited attention paid to layered rock mass. This study developed a theoretical framework to evaluate the plastic zone in circular tunnels embedded within layered rock formations. First, based on Kastner's method for calculating the surrounding rock plastic zone in the circular tunnel, the unified strength theory and the interaction mechanism of the surrounding rock and supporting structure were introduced to establish a calculation model for the surrounding rock plastic zone in the circular tunnel. This model accounts for σ2 and the interaction of the surrounding rock and supporting structure. Based on the deformation and failure mode of the layered rock mass under compression, the calculation method of the equivalent shear strength and deformation parameters of the layered rock mass under compression was obtained, and then the modified plastic zone model in the circular tunnel of the layered rock mass was set up by substituting the above calculation methods into that of the circular tunnel in the isotropic rock mass. The results show that the plastic zone in layered rock exhibits pronounced anisotropy and directional dependence, reaching maximum or minimum extents along directions parallel or perpendicular to bedding planes. Parametric analysis shows that increases in rock layer cohesion, internal friction angle, and the intermediate principal stress coefficient (b) lead to reductions in the plastic zone area, though with diminishing marginal effects. Conversely, increasing the elastic modulus of the layers expands the plastic zone, albeit with a gradually decreasing rate of growth that approaches asymptotic behavior. For example, As the friction angle increases from 10° to 15°, 20°, 25°, and 30°, the surrounding rock plastic zone area decreases from 97.04 m2 to 67.95, 50.90, 39.74, 31.85 m2, respectively, with the reduction degree of 29.98%, 25.09%, 21.93%, and 19.85% respectively. The reduction degree decreases, indicates that with increasing the rock layer friction angle, its influence on the surrounding rock plastic zone gradually decreases. The research results can provide valuable information for tunnel construction in layered rock mass.

       

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