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| Comparative analysis between integral-transform solution and separate variable method for consolidation of the ground by air-boosted vacuum preloading |
| SHEN Yupeng1,2,DONG Shuhai3,WANG Yunchao1,JIN Yawei4,LI Xinyu1 |
| (1. Key Laboratory of Track Engineering,Beijing Jiaotong University,Beijing 100044,China;2. Beijing Engineering and Technology Research Center of Rail Transit Line Safety and Disaster Prevention,Beijing Jiaotong University,Beijing 100044,China;
3. CCCC Third Harbor Consultants Co.,Ltd.,Shanghai 200032,China;4. Jiangsu Xintai Geotechnical Technology Co.,Ltd.,Yixin,Jiangsu 214267,China) |
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Abstract Air-boosted vacuum preloading can overcome the problem of clogging of classical vertical drains,but there is lack of theoretical basis for the consolidation of air-boosted vacuum preloading method. The analytical solution of consolidation of single-layer homogeneous soil with air-boosted vacuum preloading is proposed which is based on the assumption of equal strain of soil,Newman-Carrilo equation and the intergral-transform method. And the results were compared the analytical solution with that from the separation variable method. At last,the engineering practical charts and tables are put forward to actual reference. The results show that:With the increase of Th,the total average consolidation degree grows rapidly. With the increase of n,the consolidation rate decreases;the analytical solution obtained by integral-transform method and separation variable method have little difference,which can be used to complete the derivation of the analytical solution of air-boosted vacuum preloading consolidation.
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| [1] 金亚伟,金亚君,蒋君南. 增压真空预压固结处理软土地基/尾矿渣/湖泊淤泥的方法[P]. 江苏:CN101418566,2009–04–29.(JIN Yawei,JIN Yajun,Jiang Junnan. Pressurized vacuum preloading consolidation method for soft soil foundation/ tailing slag/ lake mud[P]. Jiangsu,CN101418566,2009–04–29. (in Chinese))
[2] 杨子江,余 江,刘 辉,等. 增压式真空预压施工工艺研究[J]. 铁道标准设计,2011,(8):26–31.(YANG Zijiang,YU Jiang,LIU Hui,et al. Pressurized vacuum pre-compacting technology[J]. Railway Standard Design,2011,(8):26–31.(in Chinese))
[3] 沈宇鹏,余 江,李 治,等. 增压式真空预压处理站场软基效果试验研究[J]. 铁道学报,2011,33(5):97–103.(SHEN Yupeng,YU Jiang,LI Zhi,et al. Experimental study on air-boosted vacuum preloading of soft station foundation[J]. Journal of the China Railway Society,2011,33(5):97–103.(in Chinese))
[4] SHEN Y P,WANG H H,TIAN Y H,et.al. A new approach to improve soft ground in a railway station applying air-boosted vacuum preloading[J]. Geotechnical Testing Journal,2015,38(4):373–386.
[5] 沈宇鹏,冯瑞玲,钟顺元,等. 增压式真空预压在铁路站场地基处理的优化设计研究[J]. 铁道学报,2012,34(4):88–93.(SHEN Yupeng,FENG Ruiling,ZHONG Shunyuan,et al. Study on optimized design of vacuum preloading with air pressure boosted for treatment of railway station and yard foundations[J]. Journal of the China Railway Society,2012,34(4):88–93.(in Chinese))
[6] WANG J,CAI Y,MA J,et al. Improved vacuum preloading method for consolidation of dredged clay-slurry fill[J]. Journal of Geotechnical and Geoenvironmental Engineering,2016,142(11):06016012. (DOI:10.1061/(ASCE)GT.1943-5606.0001516)
[7] CAI Y Q,XIE Z W,WANG J,et al. A new approach of vacuum preloading with booster PVDs to improve deep marine clay strata[J]. Canadian Geotechnical Journal,2018,55(10):1 359–1 371.
[8] 陈根媛. 多层地基的一维固结计算方法与砂井地基计算的改进建议[J]. 水利水运科学研究,1984,(2):18–30.(CHEN Genyuan. One-dimensional consolidation of layered systems and a suggestion for improving calculation of sand-drained subsoil[J]. Journal of Nanjing Hydraulic Research Institute,1984,(2):18–30.(in Chinese))
[9] 王新辉,缪林昌,高健康. Laplace变换解双层地基固结问题[J]. 岩土力学,2005,26(5):833–836.(WANG Xinhui,MIAO Linchang,GAO Jiankang,et al. Solution of one-dimensional consolidation for double-layered ground by Laplace transform[J]. Rock and Soil Mechanics,2005,26(5):833–836.(in Chinese))
[10] 韦 锋. 运用Laplace变换计算填石路基沉降[J]. 路基工程,2008,(5):72–74. (WEI Feng. Settlement calculation of the filling subgrade through the Laplace intergral-transform method[J]. Subgrade Engineering,2008,(5):72–74.(in Chinese))
[11] 艾智勇,王全胜. 有限土层轴对称Biot固结的一个新的解析解[J]. 应用数学和力学,2008,29(12):1 472–1 478.(AI Zhiyong,WANG Quansheng. A new analytical solution for axisymmetric Biot?s consolidation of a finite soil layer[J]. Applied Mathematics and Mechanics,2008,29(12):1 472–1 478.(in Chinese))
[12] 艾智勇,董 洲,成怡冲,等. 三维渗透各向异性层状地基Biot固结分析[J]. 土木工程学报,2011,44(12):79–84.(AI Zhiyong,DONG Zhou,CHEN Yichong,et al. Analysis of three-dimensional Biot?s consolidation of layered soils with anisotropic permeability[J]. China Civil Engineering Journal,2011,44(12):79–84.(in Chinese))
[13] CHEN G J. Consolidation of multilayered half space with anisotropic permeability and compressible constituents[J]. International Journal of Solids and Structures,2004,41(16/17):4 567–4 586.
[14] AI Z Y,HU Y D,CHENG Y C. Non-axisymmetric consolidation of poroelastic multilayered materials with anisotropic permeability and compressible constituents[J]. Applied Mathematical Modelling,2014,38(2):576–587.
[15] BARRON R A. Consolidation of fine-grained soils by drain wells[J]. 1948,74(6):718–754.
[16] HANSBO S. Consolidation of fine-grained soils by prefabricated drains[J]. Proceedings of the 10th ICSMFE.[S. l.]:[s. n.],1981:677–682.
[17] XIE K H,XIE X Y,GAO X. Theory of one dimensional consolidation of two-layered soil with partially drained boundaries[J]. Computers and Geotechnics,1999,24(4):265–278.
[18] HANSBO S,JAMIOLKOWSKI M,KOK L. Consolidation of soil by vertical drains[J]. Geotechnique,1981,31(1):45–66.
[19] 龚济平,徐 超,金亚伟. 采用改进真空预压技术加固软土地基的试验研究[J]. 港工技术,2012,49(3):50–52.(GONG Jiping,XU Chao,JIN Yawei. Experiment of soft soil foundation reinforcement by improved vacuum preloading Technique[J]. Port Engineering Technology,2012,49(3):50–52.(in Chinese))
[20] 金亚伟,张 岩,吴连海,等. 太湖、天津淤泥固结施工中的淤堵问题[C]// 第十一届全国土力学及岩土工程学术会议论文集. 兰州:[s.n.],2011:126–132.(JIN Yawei,ZHANG Ya,WU Lianhai,et al. Taihu lake,Tianjin,construction of silt clogging problems of consolidation[C]// China Civil Engineering Society. Proceedings of the 11th National Conference on Soil Mechanical and Geotechnical Engineering. Lanzhou:[s.n.],2011:126–132.(in Chinese))
[21] TERZAGHI K. Theoretical Soil Mechanics[M]. Chapman and Hall,Limited.;London,1951.
[22] CARRILLO N. Simple two and three dimensional cases in the theory of consolidation of soils[J]. Journal of Mathematics and Physics,1942,21(1):1–5.
[23] 吴少平. 数学物理方程的几种解法[J]. 高等函授学报:自然科学版,1999,(1):23–25.(WU Shaoping. Several solution to mathematical physics equtions[J]. Journal of Higher Correspondence Education (Nature Sciences),1999,(1):23–25.(in Chinese))
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