|
|
|
| CONSOLIDATION THEORY OF TWO-PHASE DISCONTINUOUS MEDIA |
| XU Riqing1，2，RONG Xuening1，2，WANG Xingchen1，2，ZHAN Xuegui3 |
| (1. Research Center of Coastal and Urban Geotechnical Engineering，Zhejiang University，Hangzhou，Zhejiang 310058，China；2. Key Laboratory of Soft Soils and Geoenvironmental Engineering of Ministry of Education，Zhejiang University，Hangzhou，Zhejiang 310058，China；3. Yunnan Jiaotong College，Kunming，Yunnan 650101，China) |
|
|
|
|
Abstract Based on a concise mechanical model of two-phase discontinuous media such as saturated soil，a new expression of effective stress was derived. In the expression，the distribution of total stress depends on the porosity n and the coefficient of pore pressure's transfer ?(?∈[0，1]). The new expression was then applied to Biot theory. Consolidation of a columnar sample was analyzed with FEM software Abaqus and solutions of pore pressure and displacement were obtained. The results from the new equations were compared with those from original Biot theory. From the permeability data in relevant literatures，values of ? of clays in a reasonable range of 0.32–0.54 were obtained. With the same modulus and coefficient of permeability，the consolidation process speeds up as n and ? decrease and Mandel-Cryer effect becomes more significant. When n = ? = 0，the consolidation process becomes instantaneous. A transition is presented from the consolidation behavior of porous media to that of continuum mechanics. The consolidation theory of the two-phase discontinuous medium bridges the traditional consolidation theory and the elastic theory；the confirming the rationality of the mechanical model of two-phase discontinuous medium indirectly.
|
|
Received: 28 May 2013
|
|
|
|
| [1] 龚晓南. 高等土力学[M]. 浙江：浙江大学出版社，1996：120–129.(GONG Xiaonan. Advanced soil mechanics[M]. Zhejiang：Zhejiang University Press，1996：120–129.(in Chinese))
[2] LADE P，BOER R DE. The concept of effective stress for soil，concrete，and rock[J]. Géotechnique，1997，47(1)：61–78.
[3] 李广信. 关于有效应力原理的几个问题[J]. 岩土工程学报，2011，33(2)：315–320.(LI Guangxin. Some problems about principle of effective stress[J]. Chinese Journal of Geotechnical Engineering，2011，33(2)：315–320.(in Chinese))
[4] 李广信. 基坑支护结构上水土压力的分算与合算[J]. 岩土工程学报，2000，22(3)：348–352.(LI Guangxin. Estimating the water and earth pressures on the supporting structure around a foundation pit separately and together[J]. Chinese Journal of Geotechnical Engineering，2000，22(3)：348–352.(in Chinese))
[5] Bureau of Reclamation，U.S.，Department of the Interior，Washington D.C.. Design of gravity dams[R]. [S.l.]：[s.n.]，1976.
[6] Office of Hydropower Licensing，Federal Energy Regulatory Commission，Washington，D.C.，Federal Energy Regulatory Commission(FRC). Engineering guidelines for the evaluation of hydropower projects[R]. [S.l.]：[s.n.]，1991.
[7] BOER DE R，DIDWANIA A. The effect of uplift in liquid-saturated porous solids─KarlTerzaghi's contributions and recent findings[J]. Géotechnique，1997，47(2)：289–298.
[8] BOER DE R. Once more：uplift，friction and capillarity in liquid and gas-saturated porous solids[J]. Transport in Porous Media，1997，27(3)：357–368.
[9] 王洪新. 水土压力分算与合算的统一算法[J]. 岩石力学与工程学报，2011，30(5)：1 057–1 064.(WANG Hongxin. Unified method of separate and combined calculation of water and earth pressures[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(5)：1 057–1 064.(in Chinese))
[10] 徐日庆，张庆贺，刘 鑫，等. 考虑渗透性的水—土压力计算方法[J]. 岩土工程学报，2012，34(5)：961–964.(XU Riqing，ZHANG Qinghe，LIU Xin，et al. Methods for calculating soil-water pressure considering permeability[J]. Chinese Journal of Geotechnical Engineering，2012，34(5)：961–964.(in Chinese))
[11] 王洪新. 水土压力统一计算理论的证明及水土共同作用下的压力计算[J]. 岩石力学与工程学报，2012，31(2)：392–398.(WANG Hongxin. Verification of unified calculation theory of water and earth pressures and calculation of pressure under interaction of water and earth[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(2)：392–398.(in Chinese))
[12] MORIWAKI T，UMEHARA K. Method for determining the coefficient of permeability of clays[J]. Geotechnical Testing Journal，2003，26(1)：47–56.
[13] 梅国雄，宋林辉，宰金珉．地下水浮力折减试验研究[J]. 岩土工程学报，2009，31(9)：1 476–1 480.(MEI Guoxiong，SONG Linhui，ZAI Jinmin. Experimental study on reduction of groundwater buoyancy[J]. Chinese Journal of Geotechnical Engineering，2009，31(9)：1 476–1 480.(in Chinese))
[14] 张 乾，宋林辉，梅国雄．黏土地基中的基础浮力模型试验[J]. 工程勘察，2011，39(9)：37–41.(ZHANG Qian，SONG Linhui，MEI Guoxiong. Model experiment on foundation buoyancy in clay[J]. Geotechnical Investigation and Surveying，2011，39(9)：37–41.(in Chinese))
[15] MANDEL J. Consolidation des sols(étude mathématique)[J]. Géotechnique，1953，(3)：287–299.
[16] CRYER C W. A comparison of the threedimensional consolidation theories of Biot and Terzaghi[J]. The Quarterly Journal of Mechanics and Applied mathematics，1963，16(4)：401–412.
[17] 费 康，张建伟. ABAQUS在岩土工程中的应用[M]. 北京：中国水利水电出版社，2010：111–204.(FEI Kang，ZHANG Jianwei. ABAQUS application in geotechnical engineering[M]. Beijing：China Water Power Press，2010：111–204.(in Chinese)) |
|
|
|
2014, Vol. 33 
