Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 35 Issue 9
Turn off MathJax
Article Contents
Abstract
References
Related Articles
XU Jin, WANG Xu-dong, CAI Zheng-yin. Finite layer method for 3D coupled flow-deformation response due to pumping[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(9): 1683-1688.
Citation: XU Jin, WANG Xu-dong, CAI Zheng-yin. Finite layer method for 3D coupled flow-deformation response due to pumping[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(9): 1683-1688.
shu

Finite layer method for 3D coupled flow-deformation response due to pumping

  • 1. School of Civil Engineering, Yantai University,Yantai 264005,China; 2. Department of Geotechnical Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China; 3. Institute of Geotechnical Engineering, Nanjing University of Technology, Nanjing 210009, China

More Information
  • Received Date: December 29, 2011
  • Published Date: September 21, 2013
    Graphical Abstract
    • Abstract
  • Based on the Biot’s theory, the coupled consolidation of multilayered soil due to pumping is studied. The finite layer numerical scheme for solving the above problem is presented by using the semi-analytical numerical analysis principle. Moreover, by means of the orthogonality of the trigonometric function series in shape functions, the weighted residual equations are decoupled into several independent ones associated with different series of modes. A computer program is developed for solving the finite layer equations, and the validity of the present method is performed through the comparison between the numerical results and other available solutions. The influences of Poisson’s ratio, the anisotropy of permeability and pumping method on the deformation and the subsidence of the soil are studied based on the finite layer solutions. The finite layer numerical results show that the above three factors have great influences on the subsidence of the soil due to pumping. The influences of the pumping method connot be ignored near the pumping wells. Finally, the applicability of the present method in analyzing pumping in multilayered soil is demonstrated.
    • FullText(HTML)
    • References (16)
  • [1]
    张 云, 薛禹群. 抽水地面沉降数学模型的研究现状与展望[J]. 中国地质灾害与防治学报, 2002, 13(2): 1-6. (ZHANG Yun, XUE Yu-qun. Present situation and prospect on the mathematical model of land subsidence due to pumping[J]. The Chinese Journal of Geological Hazard and Control, 2002, 13(2): 1-6. (in Chinese))
    [2]
    Biot M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics, 1941, 12(2): 155-164.
    [3]
    BOOKER J R, CARTER J R. Analysis of a point sink embedded in a porous elastic half space[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1986, 10(2): 137-150.
    [4]
    BOOKER J R, CARTER J R. Elastic consolidation around a point sink embedded in a half-space with anisotropic permeability[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1987, 11(1): 61-77.
    [5]
    BOOKER J R, CARTER J R. Withdrawal of a compressible pore fluid from a point sink in an isotropic elastic half space with anisotropic permeability[J]. International Journal of Solids and Structure, 1987, 23(3): 369-385.
    [6]
    TARN J Q, LU C C. Analysis of subsidence due to a point sink in an anisotropic porous elastic half space[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1991, 15(8): 573-592.
    [7]
    CHEN G J. Analysis of pumping in multilayered and poroelastic half space[J]. Computers and Geotechnics， 2003, 30(1): 1-26.
    [8]
    CHEN G J. Steady-state solutions of multilayered and cross-anisotropic poroelastic half-space due to a point sink[J]. International Journal of Geomechanics, 2005, 5(1): 45-57.
    [9]
    艾智勇, 吴 超. 位移函数法求解饱和层状地基中的抽水问题[J]. 岩土工程学报, 2009, 31(5): 681-685. (AI Zhi-yong, WU Chao. Analysis of pumping in saturated multi-layered soil by using displacement function method[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(5): 681-685. (in Chinese))
    [10]
    金小荣, 俞建霖, 祝哨晨, 等. 基坑降水对周围土体沉降形状分析[J]. 岩土力学, 2005, 26(10): 1575-1581. (JIN Xiao-rong, YU Jian-lin, ZHU Shao-chen, et al. Analysis of behaviors of settlement of pit’s surrounding soils by dewatering[J]. Rock and Soil Mechanics, 2005, 26(10): 1575-1581. (in Chinese))
    [11]
    陈锦剑, 范 魏, 王建华. 深基坑坑外降水引起土体沉降的有限元分析[J]. 岩土工程学报, 2006, 28(增刊1): 1346-1349. (CHEN Jin-jian, FAN Wei, WANG Jian-hua. FEM analysis of settlement caused by dewatering in deep excavation[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(S1): 1346-1349. (in Chinese))
    [12]
    曹志远, 张佑启. 半解析数值方法[M]. 北京: 国防工业出版社, 1992. (CAO Zhi-yuan, CHEUNG Y K. Semi-analytical numerical method[M]. Beijing: National Defence Industry Press, 1992. (in Chinese))
    [13]
    宰金珉, 宰金璋. 高层建筑基础分析与设计[M]. 北京: 中国建筑工业出版社, 1993. (ZAI Jin-min, ZAI Jin-zhang. Analysis and design of foundation of high-rises[M]. Beijing: China Architecture and Building Press, 1993. (in Chinese))
    [14]
    宰金珉, 梅国雄. 有限层法求解三维比奥固结问题[J]. 岩土工程学报, 2002, 24(1): 31-33. (ZAI Jin-min, MEI Guo-xiong. Finite layer analysis of three dimensional Biot consolidation[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 31-33. (in Chinese))
    [15]
    王旭东, 徐 进, 诸宏博. 各向异性承压含水层地下水流半解析数值模拟[J]. 岩土工程学报, 2010, 32(9): 1334-1339. (WANG Xu-dong, XU Jin, ZHU Hong-bo. Semi-analytical numerical simulation for unsteady groundwater flows in anisotropic confined aquifers[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(9): 1334-1339. (in Chinese))
    [16]
    王旭东, 殷宗泽, 宰金珉, 等. 柱坐标系下地下水非稳定流模拟的有限层法[J]. 岩土工程学报, 2009, 31(1): 15-20. (WANG Xu-dong, YIN Zong-ze, ZAI Jin-min, et al. Finite layer method for numerical simulation of unsteady groundwater flow in cylindrical coordinate system[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(20): 15-20. (in Chinese))
    • Related Articles

  • Related Articles

    [1]HU Dan, LI Fen, ZHANG Kai-yin. Applicability of simplified formulations based on Biot’s theory[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(S1): 105-108. DOI: 10.11779/CJGE2019S1027
    [2]YU Jun, SHANG Shou-ping, HUANG Juan, YANG Jun-sheng. Applicability of simplified model of Biot's dynamic consolidation equation to response of horizontal vibration of piles[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(8): 1558-1563. DOI: 10.11779/CJGE201408024
    [3]DENG Yue-bao, XIE Kang-he, LI Chuan-xun. Finite element analysis of Biot’s consolidation with non-Darcian flow[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(11): 2058-2065.
    [4]AI Zhi-yong, ZENG Wen-ze. Axisymmetric Biot's consolidation of multi-layered soils with anisotropic permeability[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(2): 242.
    [5]XIA Jun, MEI Guoxiong, MEI Ling, ZAI Jinmin. Biot’s consolidation finite layer analysis of viscoelastic soil[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(3): 437-441.
    [6]ZHU Boen, CAI Yuanqiang, LING Daosheng. A study on two-dimensional Biot’s consolidation of saturated under cyclic loading[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(2): 248-253.
    [7]ZAI Jinmin, MEI Guoxiong. Finite layer analysis of three dimensional Biot consolidation[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 31-33.
    [8]CHEN Shengli, ZHANG Jianmin. An analysis of axisymmetric consolidation for transversely isotropic saturated soils[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 26-30.
    [9]Wang Jianhua, Lu Jianfei, Shen Weiping. The application of Biot consolidation theory to the negative friction problem of single pile[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(5): 590-593.
    [10]Hu Yayuan, Wang Lizhong, Chen Yunmin, Wu Shiming. The theoretical solution of two dimensional biot’s consolidation of layered soils[J]. Chinese Journal of Geotechnical Engineering, 1998, 20(5): 20-24.
    • Supplements (0)

Catalog

    Get Citation
    PDF
    XML
    Article views (343) PDF downloads (439) Cited by()
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return