对称及非对称形式下点状电极单元的二维电渗固结研究

doi:10.13722/j.cnki.jrme.2020.0983

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摘要针对同性电极间距较大时电渗固结模型的计算，依据电极排布形式提出点状电极单元的概念。基于点状电极单元模型，建立点状电极单元的二维电渗固结理论，采用Galerkin法进行控制方程的离散，给出电势场、孔压场控制方程的有限元形式；基于Python语言开发点状电极单元的二维电渗固结计算数值模块PyEcFem，并进行对称单元的二维效应数值研究以及非对称单元的电渗固结计算，同时进行试验验证。研究表明：(1) 排水边界数量早期对排水速率起主要作用，电渗后期阳极数量对排水速率影响较大，非对称单元的排水效果以及负孔压幅值均要高于对称单元。(2) 对称单元中，电极间距比能够描述同性边界上的电势跌落幅度，同性电极间距越小，二维效应系数越小，两者之间满足负指数关系。(3) 非对称单元的电渗固结中，单元排水能力的限制会导致电渗初期阴极区产生孔隙水压力堆积现象，产生局部的正超孔隙水压力，该现象会影响负孔隙水压力的变化速率以及极值。

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	杨晓宇1
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	董建华1
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	刘国盛1
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	颉永斌1
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关键词 ：土力学, 二维电渗固结理论, 点状电极单元, 二维电势场分布, Python科学计算

Abstract：Aiming at the calculation of the electroosmotic consolidation model with a large spacing of same nature electrodes，the concept of punctiform electrode unit is proposed according to the electrode arrangement form，and a two-dimensional electroosmotic consolidation theory of the punctiform electrode unit is established based on the punctiform electrode unit model. The governing equation is discretized by the Galerkin method，and the finite element forms of the governing equations of the electric potential field and the pore water pressure field are developed. A two-dimensional electroosmotic consolidation calculation numerical module PyEcFem is developed by Python language. The numerical simulation of the two-dimensional effect of symmetric units and the electroosmotic consolidation calculation of asymmetric units are performed，and the experimental verification is carried out. Results show that the numbers of the drainage boundaries and the number of the anodes respectively play a major role in the drainage rate in the early and later stages of electroosmosis，and that both the drainage effect and the negative pore pressure of asymmetric units are higher than those of symmetrical units. For the symmetric units，the electrode spacing ratio can describe the potential drop amplitude on the same polarity boundary，and the smaller the same polarity electrode spacing，the smaller the two-dimensional effect coefficient，obeying a negative exponential relationship. For the electroosmotic consolidation of the asymmetric units，the limitation of the drainage capacity of the units will cause the accumulation of the pore water pressure in the cathode area at the initial stage of electroosmosis，generating local positive excess pore water pressure，which will affect the change rate and the extreme value of the negative pore water pressure.

Key words： soil mechanics two-dimensional electro-osmosis consolidation theory punctiform electrode unit two- dimensional potential distribution Python scientific computation

引用本文:

杨晓宇1，2，董建华1，2，刘国盛1，2，颉永斌1，2. 对称及非对称形式下点状电极单元的二维电渗固结研究[J]. 岩石力学与工程学报, 2021, 40(7): 1491-1503.
YANG Xiaoyu1，2，DONG Jianhua1，2，LIU Guosheng1，2，XIE Yongbin1，2. Study on two-dimensional electroosmotic consolidation of punctiform electrode units with symmetric and asymmetric forms. , 2021, 40(7): 1491-1503.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.0983 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I7/1491

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