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

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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

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	YANG Xiaoyu1
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	DONG Jianhua1
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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.

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

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