基于椭圆柱等效的排水板非线性径向固结理论

doi:10.13722/j.cnki.jrme.2019.0218

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摘要通过引入土体的e-lgσ'和e-lgkh非线性模型，在椭圆柱等效模型的基础上，结合真空负压沿排水板深度的线性分布模式，分别采用差分算法和线性简化的方法推导得出径向固结的数值解和简化解析解。基于所得解，分别对比分析数值解与简化解、孔压定义的固结度Up与变形定义的固结度Us之间的差异，以及压缩指数与渗透指数的比值c(Cc/Ck)和真空荷载对固结性状的影响，最后将解答与试验结果进行对比，验证解答对固结度预测的适用性。结果表明：当c = 1时数值解与简化解基本一致，当c＜1或c＞1时两者具有一定差距；在不同的c值下，同一时刻对应的Us总比Up大，随着c值的增大，土体固结变慢；对于由孔压消散描述的固结过程，当c＜1时，真空荷载越大，土体固结越快，当c = 1时，真空荷载的变化对固结快慢无影响，而当c＞1时，真空荷载越大，土体固结越慢。

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	田乙1
	吴文兵1
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	康成1
	蒋国盛1
	梅国雄1
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	周克清1

关键词 ：土力学, 非线性, 椭圆柱等效, 径向固结, 真空荷载

Abstract：Based on the equivalent elliptical cylinder model，by introducing the e-lgσ' and e-lgkh nonlinear relationships and the linear loss law of the negative pressure in the prefabricated vertical drain(PVD)，a numerical solution and a simplified analytical solution are obtained by the differential algorithm and the simplified method，respectively. On basis of the presented solutions，the comparative analyses between the numerical solution and the simplified solution，and between the degree of consolidation based on pore water pressure(Up) and that in terms of deformation(Us) are conducted. Then，the influences of the ratio of compression index to permeability index，c(Cc/Ck)and the vacuum load on consolidation behavior are investigated. Lastly，the prediction ability of the presented solutions is verified by comparing them with the test results. The results show that，the numerical solution is almost identical with the simplified solution for c = 1，but there is a difference between that two solutions for c＜1 or c＞1. Under different c，Us is always lager than Up at same time，and the consolidation slows down as the increasing of c. As for the consolidation process defined by the dissipation of excess pore water pressure，when c＜1，the consolidation speeds up with the increase in vacuum load; however，when c = 1，the variation in the vacuum load has no effect on the rate of consolidation，and when c＞1，the larger the vacuum load，the slower the consolidation.

Key words： soil mechanics nonlinear elliptical cylinder model radial consolidation vacuum load

引用本文:

田乙1，吴文兵1，2，康成1，蒋国盛1，梅国雄1，2，周克清1. 基于椭圆柱等效的排水板非线性径向固结理论[J]. 岩石力学与工程学报, 2020, 39(S1): 3058-3066.
TIAN Yi1，WU Wenbing1，2，KANG Cheng1，JIANG Guosheng1，MEI Guoxiong1，2，ZHOU Keqing1. Nonlinear radial consolidation theory for prefabricated vertical drain based on the equivalent elliptical cylinder model. , 2020, 39(S1): 3058-3066.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.0218 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/IS1/3058

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