基于有限差分法二次开发的降雨入渗边坡锚杆加固效果数值分析
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1.上海核工程研究设计院股份有限公司;2.上海大学 力学与工程科学学院

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TU47

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Numerical Analysis of Anchor Reinforcement Effects on Rainfall-Infiltrated Slopes Based on Secondary Development of the Finite Difference Method
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Shanghai Nuclear Engineering Research and Design Institute Co., Ltd

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    摘要:

    高强度降雨是导致边坡破坏的主要因素,为研究边坡在降雨工况下的稳定性及加固措施,采用fish语言对有限差分软件进行二次开发,建立非饱和土渗透系数与基质吸力之间的关系,实现锚杆加固边坡在降雨入渗工况下的模拟。研究3种锚杆倾角(10°、20°、30°)、3中锚杆长度(6 m、8 m、10 m)下锚杆对降雨工况下边坡的加固效果,从边坡位移、孔隙水压力、饱和度、剪应变、安全系数、锚杆轴力、剪力等方面进行分析。结果表明:在锚杆加固对边坡稳定性影响方面,锚杆倾角以30°为最佳,倾角为30°时三根锚杆剪力分布均匀且在滑移体薄弱面提供较大剪力;锚杆长度6 m至8 m锚固效果显著提升而8 m至10 m加固效果提升不明显,锚杆长度综合安全性与经济性后确定8 m最优;12 h降雨及90 mm/h降雨强度时,未加固边坡整体滑塌,加固后位移量显著减小,坡脚无滑移且坡顶呈圆弧形小位移区,第二排锚杆处是位移分界点,表明锚杆有效抵抗剪力并减少坡面位移以保持稳定;未加固边坡12 h降雨后有整体滑移破坏的剪应变增量等值线,加固后分布均匀且无连续滑移带,同时采用最优参数布置的锚杆能在12 h持续暴雨下使加固边坡安全系数维持在1.25以上,满足工程对暴雨工况下边坡稳定性的要求。

    Abstract:

    Considering the limitations of finite difference software in simulating the distribution of pore water pressure in unsaturated soil slopes under rainfall infiltration conditions, secondary development of the software was conducted using the FISH programming language. A relationship between the permeability coefficient of unsaturated soil and matric suction was established, enabling the simulation of anchor-reinforced slopes under rainfall infiltration conditions. The study analyzed the reinforcement effects of anchors under three anchor inclination angles (10°, 20°, and 30°) and three anchor lengths (6 m, 8 m, and 10 m). The analysis focused on slope displacement, pore water pressure, saturation, shear strain, safety factor, and axial force and shear force of the anchors. The results show that, in terms of the influence of anchor reinforcement on slope stability, an anchor inclination angle of 30° is optimal. At this angle, the shear force distribution among the three anchors is uniform, and the anchors provide significant shear resistance along the weak sliding surface. The anchoring effect improves significantly as anchor length increases from 6 m to 8 m; however, the improvement from 8 m to 10 m is not pronounced. Considering safety and economic factors comprehensively, an anchor length of 8 m is determined to be optimal. Under a 12-hour rainfall duration and a rainfall intensity of 90 mm/h, the unreinforced slope experienced overall sliding failure, whereas the reinforced slope showed significantly reduced displacement. No sliding occurred at the slope toe, and the slope crest exhibited a small arc-shaped displacement zone. The second row of anchors was identified as the displacement boundary, indicating that the anchors effectively resisted shear forces and reduced slope displacement to maintain stability. For unreinforced slopes, the shear strain increment contours after 12 hours of rainfall revealed overall sliding failure, while the reinforced slope exhibited uniform distribution with no continuous sliding zones. Moreover, anchors arranged with optimal parameters maintained the safety factor of the reinforced slope above 1.25 under 12 hours of continuous heavy rainfall, satisfying engineering requirements for slope stability under extreme rainfall conditions.

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杨阳,高晨博,刘飞禹,等. 基于有限差分法二次开发的降雨入渗边坡锚杆加固效果数值分析[J]. 科学技术与工程, , ():

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  • 收稿日期:2025-06-19
  • 最后修改日期:2025-12-30
  • 录用日期:2026-01-07
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