Theoretical study and application of pile foundation bearing capacity of broken bedrock building
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摘要: 为解决破碎基岩区嵌岩桩设计问题,通过分析国内两种行业规范嵌岩桩承载力计算方法、计算参数和适用范围,根据《公路桥涵地基与基础设计规范》计入岩石完整程度的基桩端阻、侧阻发挥系数的思路,确定了破碎基岩对应的承载力折减比例,对《建筑桩基技术规范》的嵌岩桩计算系数进行了修正,获得适于建筑桩基的破碎基岩嵌岩桩承载力计算方法。使用基于修正Hoek-Brown准则等效的Mohr-Coulomb抗剪强度指标进行有限元模拟,得到较破碎基岩嵌岩桩单桩极限承载力,针对不同完整程度持力层建立桩筏基础模型,分析其承载能力与单桩承载性状。结果表明,修正后的承载力计算方法具有合理性,较破碎基岩作为群桩基础的持力层具有较好的承载能力。研究成果应用于济南破碎基岩区某超高层项目的桩基优化设计,相关成果可供同类工程参考。Abstract: In order to solve the problem of designing embedded piles in fractured bedrock areas, the bearing capacity calculation methods, calculation parameters and application scope of embedded piles used in two domestic codes are analysed. According to the “Code for Design of Foundation and Subgrade of Highway Bridges and Culvert”, the approach to accounting for the bearing capacity factors of end and side resistance of piles considering rock integrity, the method of calculating the bearing capacity of embedded piles with broken bedrock is modified to obtain a method suitable for broken bedrock building. The Mohr-Coulomb parameter based on the modified Hoek-Brown criterion is used to carry out finite element simulations to obtain the ultimate bearing capacity of monopiles with fractured bedrock embedded piles, and to model pile raft foundations with different degrees of integrity and analyse their bearing capacity and monopile bearing properties. The results show that the modified bearing capacity calculation method is scientific and the fractured bedrock still has good bearing capacity as the bearing layer of group pile foundation. The results are applied to the optimal design of pile foundation for a super high-rise project in the fractured bedrock area of Jinan, and the relevant results can be used as reference for similar projects.
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表 1 嵌岩段侧阻力系数、端阻系数及侧阻和端阻综合系数
Table 1. End resistance coefficient and side resistance and end resistance composite coefficient of the embedded rock segment
嵌岩深
径比hr/d0 0.5 1 2 3 4 5 6 7 8 极软岩
和软岩ζs 0 0.052 0.056 0.056 0.054 0.051 0.048 0.045 0.042 0.04 ζp 0.6 0.7 0.73 0.73 0.7 0.66 0.61 0.55 0.48 0.42 ζr 0.6 0.8 0.95 1.18 1.35 1.48 1.57 1.63 1.66 1.7 较硬岩和
坚硬岩ζs 0 0.05 0.052 0.05 0.045 0.04 ζp 0.45 0.55 0.6 0.5 0.46 0.4 ζr 0.45 0.65 0.81 0.9 1 1.04 表 2 嵌岩桩侧阻与端阻发挥系数
Table 2. Exertion coefficients of side and end resistance of rock-socketed piles
岩石情况 c1 c2 完整、较完整 0.6 0.05 较破碎 0.5 0.04 破碎、极破碎 0.4 0.03 注:①当嵌岩深度≤0.5 m时,$ {c}_{1} $乘以0.75的折减系数,$ {c}_{2} $=0;②对钻孔桩,系数$ {c}_{1} $,$ {c}_{2} $在列表值乘0.8使用;③持力层为中等风化岩石,系数$ {c}_{1} $,$ {c}_{2} $在列表值乘0.75使用。 表 3 不同规范嵌岩桩承载力计算理论对比
Table 3. Comparison of the theory of carrying capacity calculation of different specifications of embedded rock piles
计算公式 计算参数 适用条件 侧阻系数 端阻系数 文献[4] $ Q\mathrm{_{rk}}=\zeta_{\mathrm{p}}A_{\mathrm{p}}f\mathrm{_{rk}}+\zeta\mathrm{_s}uh_{\mathrm{r}}f\mathrm{_{rk}} $ 直径、嵌岩深度、岩石饱和单轴抗压强度、侧阻影响系数、端阻影响系数 持力层为完整、较完整基岩 与岩性、桩身材料、成桩清孔情况有关 与岩性、嵌岩深度、成桩清底情况有关 文献[22] $ R_{\mathrm{a}}=c_1A_{\mathrm{p}}f\mathrm{_{rk}}+c_2uh_{\mathrm{r}}f\mathrm{_{rk}} $ 直径、嵌岩深度、岩石饱和单轴抗压强度、侧阻发挥系数、端阻发挥系数 持力层为任意完整程度基岩 与岩石破碎程度、清孔情况、施工工艺、岩石风化程度有关 与岩石破碎程度、清孔情况、施工工艺、岩石风化程度有关 表 4 不同嵌岩深径比下的折减系数
Table 4. Reduction factor under the depth-diameter ratio of different embedded rocks
嵌岩深径比hr/d 0 0.5 1 2 3 4 5 6 7 8 完整、较完整 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 较破碎 0.833 0.829 0.825 0.820 0.817 0.814 0.813 0.811 0.810 0.809 破碎、极破碎 0.667 0.657 0.650 0.640 0.633 0.629 0.625 0.622 0.620 0.618 表 5 各地层物理性质
Table 5. Physical properties of each stratum
岩层 kv RQD/% 平均厚度/m frk
/MPaQsik/kPa ④碎石 0.5 120 ⑤-1强风化石灰岩 0.07 0~10 3.13 500 ⑤-2中等风化石灰岩 0.47 25~50 4.39 30 1000 ⑤-3中等风化石灰岩 0.73 70~80 45 1200 ⑤-4溶洞填充物 0.94(洞高) 70 ⑤-5全风化泥质灰岩 5.5 110 ⑤-6强风化泥质灰岩 0.19 0~10 3.1 130 表 6 桩基设计参数
Table 6. Design parameters of pile foundation
直径/m 桩长/m 嵌岩深度/m 持力层 竖向承载力
特征值/MN3 12.0 1.5 ⑤-3中等风化石灰岩 87 2.8 11.0 1.5 ⑤-3中等风化石灰岩 76 2.4 10.5 1.5 ⑤-3中等风化石灰岩 45 表 7 不同方法单桩承载力计算结果
Table 7. Calculation results of characteristic values of bearing capacity by different methods
桩径/m 嵌岩深度/m 式(3)/MN 式(10)/MN 折减系数$ C\mathrm{_a} $ 3.0 3.0 101 84 0.83 2.8 2.8 88 73 0.83 2.4 2.4 65 54 0.83 表 8 持力层岩体参数
Table 8. Rock parameters of the bearing layer
编号 GSI σc/MPa Ei/MPa mi vp/(m·s−1) D ⑤-2 38.73 30 21210 10 3082 0 ⑤-3 50.19 45 23565 10 3846 0 表 9 数值模拟地层参数
Table 9. Numerical simulation of formation parameters
地层编号 岩土层 厚度/m 天然重度/(kN·m−3) 黏聚力/kPa 内摩擦角/(°) 膨胀角/(°) 弹性模量/MPa 泊松比 1 ⑤-1强风化石灰岩 3 24.64 100 25 12.5 110 0.27 2 ⑤-2中等风化石灰岩 7 24.92 761 33.2 16.2 3104 0.23 3 ⑤-3中等风化石灰岩 7 24.87 1389 36.9 18.5 7322 0.23 名称 厚度/m 弹性模量/MPa 泊松比 内摩擦角/(°) 黏聚力/kPa 重度
/(kN·m−3)强风化花岗岩 20 40 0.27 28 47.5 21.0 中等风化花岗岩 20 6500 0.25 35 4000 25.5 微风化花岗岩 10 30000 0.2 45 9000 26.3 表 11 数值模拟计算结果
Table 11. Numerical simulation results
桩径/m 极限状态桩顶
荷载/MN极限状态桩顶
沉降/mm承载力
特征值/MN2.4 132 17.48 66 2.8 160 18.85 80 3.0 174 18.81 87 -
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