龙游古洞室层状顶板三点弯曲特性的颗粒流数值模拟研究

    NUMERICAL SIMULATION STUDY OF THREE-POINT BENDING CHARACTERISTICS OF THE LAYERED ROOF IN ANCIENT CHAMBERS OF LONGYOU GROTTOES USING PARTICLE FLOW CODE

    • 摘要: 龙游石窟是中国古代由人工开凿的超大型地下建筑,其顶板岩体因低强度的泥质粉砂岩和发育的软弱层理结构,长期稳定性受到威胁。尤其是软弱夹层厚度和倾角的变化,对顶板的抗弯强度和破坏模式有显著影响。然而,现有针对龙游石窟顶板稳定性的研究较少,而且忽略了顶板对整个软弱夹层的力学响应。本文利用颗粒流离散元方法建立了含有不同倾角、厚度、层序和力学性能的软硬互层模型,系统研究了软弱泥岩夹层对顶板泥质粉砂岩三点弯曲特性的影响。模拟结果表明:软弱夹层的强度劣化会导致顶板岩石整体抗弯强度的普遍下降;低倾角层理时层理顺序对抗弯强度影响显著,下边界的坚硬层可提高抗弯强度,裂纹倾向于穿层发育;随着层理倾角增加,层序影响减弱,裂纹倾向于顺层发育。此外,层理顺序与倾角共同影响层理厚度对抗弯性能的作用,但这种控制作用随层厚缩小而被削弱,抗弯性能的变化趋于稳定。在龙游古洞室层理倾角范围内,软弱泥岩夹层的强度劣化会导致抗弯性能急剧下降,顶板易沿软弱层破裂失稳。本研究强化了对层状顶板力学行为的认识,可为龙游石窟顶板稳定性评价和防护策略的制定提供重要参考。

       

      Abstract: The Longyou Grottoes are a series of ultra-large underground constructions carved by hand in ancient China, whose roof rock mass stability is threatened due to the low strength of the argillaceous siltstone and the weak layer structures. In particular, variations in the thickness and dip angle of weak interlayers have significant effects on the bending strength and failure modes of the roof. However, existing studies on the stability of the roof in the Longyou Grottoes are limited and have overlooked the mechanical response of the roof to the entire weak interlayer. In this paper, a model with alternating soft and hard layers, varying in dip angle, thickness, sequence, and mechanical properties, was established using the discrete element method with Particle Flow Code (PFC). This study systematically examines the effect of weak mudstone interlayers on the three-point bending characteristics of the roof's argillaceous siltstone. The simulation results show that the degradation of the weak interlayer's strength leads to a general decline in the overall bending strength of the roof rock. Under low dip angles, the sequence of layers significantly affects the bending strength, with the hard layer at the lower boundary enhancing it, and cracks tend to develop across layers. As the dip angle increases, the effect of the layer sequence diminishes, and cracks tend to develop along the layers. Additionally, the combined influence of the layer sequence and dip angle controls the impact of layer thickness on the bending performance. However, this control weakens as the layer thickness decreases, leading to a stabilization in bending performance. Within the dip angle range of the Longyou Grottoes' layers, the strength degradation of weak mudstone interlayers leads to a sharp decline in bending performance, making the roof prone to failure along the weak layers. This study enhances the understanding of the mechanical behavior of layered roofs and provides important references for the stability evaluation and protective strategies of the Longyou Grottoes' roof.

       

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