考虑有效电势衰减的一维电渗固结多态继承计算方法

doi:10.13722/j.cnki.jrme.2019.1177

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (1029 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The classical one-dimensional electro-osmosis consolidation theory cannot consider the attenuation of the effective potential，which exists objectively in the electro-osmotic process，and hence, overestimates the result of electro-osmosis. Aiming at this problem，theoretical and numerical studies are carried out. According to the idea of Riemann integral summation，the effective potential decay function is reduced to polymorphic form. Considering the uniformity of effective potential decay and pore pressure dissipation in the time dimension，one-dimensional electro-osmotic consolidation calculation under effective potential decay is transformed into iterative solution for a single state segment by inheritance of initial conditions. The governing equation is discretized by using the Crank-Nicolson form，and programming is implemented by using Python. The calculations under the three-segment numbers of 3，6，and 20 were carried out and compared with the classical theoretical results. The results show that the pore pressure amplitude considering the potential decay is significantly lower than that from the classical one-dimensional consolidation theory，and the developed method of polymorphic inheritance can effectively reflect the influence of the potential decay. The pore pressure curve will have a sudden change in amplitude at the segment points，while the mutation phenomenon gradually weakens gradually as the number of state segments increases. At the anode，the effect of the potential decay is most pronounced，and the reduction of the pore pressure is greatest. The method is clear and concise，and can provide good theoretical support for practical application of electro-osmotic drainage method.

Key words： soil mechanics one-dimensional electroosmosis consolidation theory effective potential decay Crank-Nicolson method python numerical calculation

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	YANG Xiaoyu1
	2
	DONG Jianhua1
	2

Cite this article:

YANG Xiaoyu1,2,DONG Jianhua1, et al. A polymorphic inheritance calculation method of one-dimensional electro-osmotic consolidation considering effective potential attenuation[J]. , 2020, 39(12): 2530-2539.

URL:

https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2019.1177 OR https://rockmech.whrsm.ac.cn/EN/Y2020/V39/I12/2530

[1]	CASAGRANDE L. Electro-osmotic in soils[J]. Geotechnique，1949，1(3)：159-177.
[2]	郑凌逶，谢新宇，谢康和，等. 电渗法加固地基试验及应用研究进展[J]. 浙江大学学报：工学版，2017，51(6)：1 064-1 073.(ZHENG Lingwei，XIE Xinyu，XIE Kanghe，et al. Test and application research advance on foundation reinforcement by electro-osmosis method[J]. Journal of Zhejiang University：Engineering Science，2017，51(6)：1 064-1 073.(in Chinese))
[3]	SHANG Q J. Electrokinetic sedimentation：a theoretical and experimental study[J]. Canadian Geotechnical Journal，1997，34(2)：305-314.
[4]	LO K Y，INCULET I I，HO K S. Electroosmotic strengthening of soft sensitive clays[J]. Canadian Geotechnical Journal，1991，28(1)：62-73.
[5]	SHANG J Q，DUNLAP W A. Improvement of soft clays by high voltage electrokinetics[J]. Journal of Geotechnical Engineering Division，1996，122：274-280.
[6]	SHANG J Q，LO K Y. Electrokinetic dewatering of a phosphate clay[J]. Journal of Hazardous Materials，1997，55(1/3)：117-133.
[7]	BJERRUM L，MOUN J，EIDE O. Application of electro-osmosis to a foundation problem in Norwegian quick clay[J]. Géotechnique，1967，17(3)：214-235.
[8]	陶燕丽，周建，龚晓南，等. 铁和铜电极对电渗效果影响的对比试验研究[J]. 岩土工程学报，2013，35(2)：388-394.(TAO Yanli，ZHOU Jian，GONG Xiaonan，et al. Comparative experiment on influence of ferrum and cuprum electrodes on electroosmotic effects[J]. Chinese Journal of Geotechnical Engineering，2013，35(2)：388-394.(in Chinese))
[9]	ESRIG M I. Pore pressures，consolidation，and electrokinetics[J]. Journal of the Soil Mechanics and Foundations Division，1968，94(4)：899-922.
[10]	苏金强，王钊. 电渗的二维固结理论[J]. 岩土力学，2004，25(1)：125-131.(SU Jinqiang，WANG Zhao. Theory of two-dimensional electro-osmotic consolidation of soils[J]. Rock and Soil Mechanics，2004，25(1)：125-131.(in Chinese))
[11]	LEWIS R W，HUMPHESON C. Numerical analysis of electro- osmotic flow in soils[J]. Journal of the Soil Mechanics and Foundation Division，1973，99(8)：603-616.
[12]	李瑛，龚晓南，卢萌盟，等. 堆载-电渗联合作用下的耦合固结理论[J]. 岩土工程学报，2010，32(1)：77-81.(LI Ying，GONG Xiaonan，LU Mengmeng. Coupling consolidation theory under combined action of load and electro-osmosis[J]. Chinese Journal of Geotechnical Engineering，2010，32(1)：77-81.(in Chinese))
[13]	吴辉，胡黎明. 考虑电导率变化的电渗固结模型[J].岩土工程学报，2013，35(4)：734-738.(WU Hui，HU Liming. Numerical simulation of electro-osmosis consolidation considering variation of electrical conductivity[J]. Chinese Journal of Geotechnical Engineering，2013，35(4)：734-738.(in Chinese))
[14]	陶燕丽，周建，龚晓南. 铁、石墨、铜和铝电极的电渗对比试验研究[J]. 岩石力学与工程学报，2013，32(增2)：3 355-3 362.(TAO Yanli，ZHOU Jian，GONG Xiaonan. Comparative experiment of electroosmosis of ferrum，graphite，copper and aluminum electrode[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：3 355-3 362.(in Chinese))
[15]	王柳江，刘斯宏，朱豪，等. 电极布置形式对电渗加固软土效果的影响试验[J]. 河海大学学报：自然科学版，2013，41(1)：64-69.(WANG Liujiang，LIU Sihong，ZHU Hao，et al. Experimental study of effects of electrode configuration on electroosmosis reinforcement for soft soil[J]. Journal of Hohai University：Natural Science，2013，41(1)：64-69.(in Chinese))
[16]	李瑛，龚晓南. 等电势梯度下电极间距对电渗影响的试验研究[J]. 岩土力学，2012，33(1)：89-95.(LI Ying，GONG Xiaonan. Experimental research on effect of electrode spacing on electro-osmotic dewatering under same voltage gradient[J]. Rock and Soil Mechanics，2012，33(1)：89-95.(in Chinese))
[17]	李瑛，龚晓南，张雪婵. 电压对一维电渗排水影响的试验研究[J].岩土力学，2011，32(3)：709-714.(LI Ying，GONG Xiaonan，ZHANG Xuechan. Experimental research on effect of applied voltage on one-dimensional electroosmotic drainage[J]. Rock and Soil Mechanics，2011，32(3)：709-714.(in Chinese))
[18]	YUAN J，HICKS M A. Large deformation elastic electro-osmosis consolidation of clays[J]. Computers and Geotechnics，2013，54(Complete)：60-68.
[19]	YUAN J，HICKS M A. Numerical simulation of elasto-plastic electro-osmosis consolidation at large strain[J]. Acta Geotechnica，2016，11(1)：127-143.
[20]	ZHOU Y，DENG A，WANG C. Finite-difference model for one-dimensional electro-osmotic consolidation[J]. Computers and Geotechnics，2013，54(Complete)：152-165.
[21]	JOSHUA H N，KARA F. Numerical study of electro-osmotic consolidation effect on pipe-soil interaction[J]. Applied Ocean Research，2018，74：11-27.
[22]	龚明星，王档良，詹贵贵. 考虑有效电势变化的软土一维电渗固结理论[J]. 水文地质工程地质，2015，42(4)：61-66.(GONG Mingxing，WANG Dangliang，ZHAN Guihui. 1-D electro-osmotic consolidation theory considering variation in effective potential in soft soil[J]. Hydrogeology and Engineering Geology，2015，42(4)：61-66.(in Chinese))