引用本文: | 马明杰,杨新安,周建,李路恒,田静.非达西渗流作用下饱和黏土压密注浆扩孔理论分析[J].哈尔滨工业大学学报,2022,54(3):32.DOI:10.11918/202104062 |
| MA Mingjie,YANG Xin′an,ZHOU Jian,LI Luheng,TIAN Jing.Theoretical analysis of cavity expansion for compaction grouting in saturated clay under non-Darcy seepage[J].Journal of Harbin Institute of Technology,2022,54(3):32.DOI:10.11918/202104062 |
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非达西渗流作用下饱和黏土压密注浆扩孔理论分析 |
马明杰1,2,杨新安1,2,周建1,2,李路恒1,2,田静1,2
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(1. 道路与交通工程教育部重点实验室(同济大学),上海 201804;2. 同济大学 交通运输工程学院,上海 201804)
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摘要: |
为研究软土注浆过程中在渗流作用下小孔扩张引起的土体力学响应,基于广义Tresca屈服准则和非相关联流动准则,考虑非线性渗流和应变软化等因素的综合影响,结合弹塑性边界条件推导饱和软黏土地层注浆扩孔问题的弹塑性解答。通过算例对比分析了是否考虑地下水渗流作用时孔周土体渗流场、应力场、位移场的计算结果的差异,进一步讨论了非线性渗流系数m对其产生的影响。结果表明:在高速非线性渗流模式下的塑性区半径和径向应力都比达西线性渗流状态下的值要小,并且非线性程度越大,其值也越小;而径向位移受非线性渗流系数m的影响较小,两种模式下基本相同。可见地下水非达西渗流作用对扩孔压力的影响不容小觑,在今后研究此类问题时也应充分考虑其不同渗流状态的影响,使得计算结果更加接近实际情况。 |
关键词: 柱孔扩张理论 非达西渗流 Tresca屈服准则 非线性渗流系数 塑性区半径 |
DOI:10.11918/202104062 |
分类号:TU43 |
文献标识码:A |
基金项目:国家自然科学基金(51178336) |
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Theoretical analysis of cavity expansion for compaction grouting in saturated clay under non-Darcy seepage |
MA Mingjie1,2,YANG Xin′an1,2,ZHOU Jian1,2,LI Luheng1,2,TIAN Jing1,2
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(1. Key Laboratory of Road and Traffic Engineering of Ministry of Education (Tongji University), Shanghai 201804, China; 2. College of Transportation Engineering, Tongji University, Shanghai 201804, China)
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Abstract: |
To investigate the mechanical response of soil caused by the expansion of cavity under the action of seepage in the process of soft soil grouting, based on the generalized Tresca yield criterion and the non-correlated flow criterion, the elastoplastic solution to the problem of cavity expansion of grouting in saturated soft clay was derived combined with the elastoplastic boundary conditions in consideration of the comprehensive effects of nonlinear seepage and strain softening factors. The differences of the calculation results of seepage field, stress field, and displacement field of the soil around the cavity with or without considering the action of seepage were compared and analyzed through calculation examples, and the influence of the nonlinear seepage coefficient m was further discussed. Results show that the radius of the plastic zone and the radial stress in the high-speed nonlinear seepage mode were both smaller than those under the Darcy linear seepage state, and the greater the degree of nonlinearity was, the smaller the value was. The radial displacement was less affected by the nonlinear seepage coefficient m, and it was basically the same in the two modes. Hence, the influence of non-Darcy seepage of groundwater on the cavity expansion pressure should not be underestimated. When studying such problems in the future, the influence of different seepage states should also be fully considered, so that the calculation results are closer to the actual situation.Symbol`@@ |
Key words: cylindrical cavity expansion theory non-Darcy seepage Tresca yield criterion nonlinear seepage coefficient radius of plastic zone |
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