Source Journal of Chinese Scientific and Technical Papers
Included as T2 Level in the High-Quality Science and Technology Journals in the Field of Architectural Science
Core Journal of RCCSE
Included in the CAS Content Collection
Included in the JST China
Indexed in World Journal Clout Index (WJCI) Report
Volume 56 Issue 4
Apr.  2026
Turn off MathJax
Article Contents
ZHANG Yi, WANG Jia, WU Wenbing, ZONG Mengfan, MEI Guoxiong. One-Dimensional Consolidation Analysis of a Double-Layered Foundation with Exponential Flow Laws Under Continuous Drainage Boundaries[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 249-255. doi: 10.3724/j.gyjzG23092007
Citation: ZHANG Yi, WANG Jia, WU Wenbing, ZONG Mengfan, MEI Guoxiong. One-Dimensional Consolidation Analysis of a Double-Layered Foundation with Exponential Flow Laws Under Continuous Drainage Boundaries[J]. INDUSTRIAL CONSTRUCTION, 2026, 56(4): 249-255. doi: 10.3724/j.gyjzG23092007

One-Dimensional Consolidation Analysis of a Double-Layered Foundation with Exponential Flow Laws Under Continuous Drainage Boundaries

doi: 10.3724/j.gyjzG23092007
  • Received Date: 2023-09-20
    Available Online: 2026-06-06
  • Publish Date: 2026-04-20
  • To explore the timeliness of boundary drainage and the consolidation characteristics of double-layered soil under non-Darcy flow conditions, the one-dimensional consolidation problem of double-layered foundation based on the exponential flow model was studied by introducing continuous drainage boundary conditions. Firstly, the finite difference method was used to solve the two-layered foundation consolidation with exponential flow under continuous drainage boundaries and obtain corresponding solutions, which were then compared and validated against existing research. Then, based on the deduction results, the effects of interface parameters, thickness ratio of upper to lower soil layers, permeability ratio of soil layers, and ratio of compression coefficients on the consolidation degree of the foundation were analyzed. The research results indicated that the larger the interface parameters, the faster the consolidation. However, as the flow index increased, the influence of the interface parameters on the consolidation rate of the double-layered foundation decreased. For the foundation with an upper soft and lower hard layer, a thicker lower harder layer led to faster consolidation; in contrast, for the upper hard and lower soft type, a thicker upper hard layer resulted in a slower consolidation rate. Compared with the flow index of the lower soil, the flow index of the upper soil had a greater impact on the consolidation of the foundation. Therefore, in order to accelerate the consolidation speed of the soil, different soil layers with different properties should be reasonably arranged during construction.
  • loading
  • [1]
    GRAY H. Simultaneous consolidation of contiguous layers of unlike compressible soils[J]. Trans,ASCE,1945,110:1327-1344.
    [2]
    SCHIFFMAN R L,STEIN J R. An analytical solution to the multi-layer one-dimensional consolidation problem[J]. Journal of Soil Mechanics & Foundations Division,1970,96(4):1499-1504.
    [3]
    LEE P K K,XIE K H,CHEUNG Y K. A study on one-dimensional consolidation of layered systems[J]. International Journal for Numerical & Analytical Methods in Geomechanics,1992,15(11):815-831.
    [4]
    谢康和. 双层地基─维固结理论与应用[J]. 岩土工程学报,1994(5):24-35.
    [5]
    XIE K H,XIE X Y,JIANG W. A study on one-dimensional nonlinear consolidation of double-layered soil[J]. Computers and Geotechnics,2002,29(2):151-168.
    [6]
    XIE K H,XIA C Q,AN R,et al. A study on the one-dimensional consolidation of double-layered structured soils[J]. Computers and Geotechnics,2016,73:189-198.
    [7]
    李林忠,秦爱芳,江良华. 双层非饱和土地基一维固结半解析解[J]. 岩土工程学报,2022,44(2):315-323.
    [8]
    李传勋,董兴泉,金丹丹,等. 考虑起始坡降双层地基的大应变非线性固结[J]. 岩土力学,2018,39(5):1877-1884.
    [9]
    宗梦繁,李传勋,吴文兵,等. 堆载-电渗联合作用下双层地基一维固结解析解[J]. 工程科学与技术,2022,54(2):170-179.
    [10]
    SLEPICKA F. Contribution to the solution of the Filtration Law[C]// Proceedings of International Union of Geodesy and Geophysics,Commission of Subterranean Waters.Helsinki,Finland:1960:245-258.
    [11]
    MILLER R J. Threshold gradient for water flow in clay-water systems[J]. Soil Science Society of America Journal,1963,27(6):605-609.
    [12]
    HANSBO S. Deviation from Darcy's law observed in one-dimensional consolidation[J]. Géotechnique,2003,53(6):601-605.
    [13]
    刘忠玉,李庆铠,朱新牧,等. 基于Hansbo渗流的理想砂井地基径向弹黏塑性固结分析[J]. 工业建筑,2020,50(3):96-101.
    [14]
    刘忠玉,崔鹏陆,范智铖,等. 基于非牛顿指数渗流和分数阶Merchant模型的理想砂井地基径向固结分析[J]. 兰州大学学报(自然科学版),2020,56(4):545-552.
    [15]
    SCHMIDT J D,WESTMANN R A. Consolidation of porous media with non-Darcy flow[J]. Journal of the Engineering Mechanics Division,1973,99(6):1201-1216.
    [16]
    齐添,谢康和,胡安峰,等. 萧山黏土非达西渗流性状的试验研究[J]. 浙江大学学报(工学版),2007(6):1023-1028.
    [17]
    李传勋,谢康和,胡安峰. 基于指数形式渗流的成层地基一维固结半解析解[J]. 西南交通大学学报,2012,47(1):84-89.
    [18]
    李传勋,谢康和,卢萌盟,等. 变荷载下基于指数渗流双层地基一维固结分析[J]. 岩土力学,2012,33(5):1565-1571.
    [19]
    李传勋,谢康和,王坤,等. 基于指数形式渗流定律的软土一维固结分析[J]. 土木工程学报,2011,44(8):111-117.
    [20]
    彭康平,胡白香,李传勋. 指数渗流定律下成层地基一维非线性固结分析[J]. 工业建筑,2014,44(5):73-78.
    [21]
    谢康和. 层状土半透水边界一维固结分析[J]. 浙江大学学报(自然科学版),1996(5):567-575.
    [22]
    梅国雄,夏君,梅岭. 基于不对称连续排水边界的太沙基一维固结方程及其解答[J]. 岩土工程学报,2011,33(1):28-31.
    [23]
    LIU J C,LEI G H. One-dimensional consolidation of layered soils with exponentially time-growing drainage boundaries[J]. Computers and Geotechnics,2013,54:202-209.
    [24]
    WU W B,ZONG M F,NAGGER M H EL,et al. Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary[J/OL]. International Journal of Distributed Sensor Networks,2018,14(10)[2023-09-20]. https://doi.org/10.1177/1550147718806716.
    [25]
    宗梦繁,吴文兵,梅国雄,等. 连续排水边界条件下土体一维非线性固结解析解[J]. 岩石力学与工程学报,2018,37(12):2829-2838.
    [26]
    ZONG M F,TIAN Y,LIANG R,et al. One-dimensional nonlinear consolidation analysis of soil with continuous drainage boundary[J]. Journal of Central South University,2022,29(1):270-281.
    [27]
    ZHANG Y,WU W B,MEI G X,et al. Three-dimensional consolidation theory of vertical drain based on continuous drainage boundary[J]. Journal of Civil Engineering and Management,2019,25(2):145-155.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (27) PDF downloads(0) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return