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Mathematical Modeling of Slurry Infiltration and Particle Dispersion in Saturated Sand

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Abstract

This paper proposes a new computational method for the analysis of slurry infiltration in saturated sand considering the relationship among soil deformation, slurry seepage and particle dispersion. The nonlinear governing equations for slurry infiltration are derived, and the corresponding variational principles based on time increment are established. The finite element method is employed to solve the problem. The computational results are validated with the reported test data, which shows that this method is much better than the traditional Herzig method in predicting the particle deposition. The proposed method is demonstrated through an example of slurry infiltration in slurry trench.

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Note: test data are taken from by Alem et al. (2013)

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Note: test data are taken from by Alem et al. (2013)

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Authors and Affiliations

  1. Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai, 201804, China

    Shunhua Zhou, Xiaohui Zhang & Honggui Di

  2. Technical Center of Shanghai Shentong Metro Group, Shanghai, 200032, China

    Di Wu

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  1. Shunhua Zhou
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  2. Xiaohui Zhang
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  4. Honggui Di
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Correspondence to Xiaohui Zhang.

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Zhou, S., Zhang, X., Wu, D. et al. Mathematical Modeling of Slurry Infiltration and Particle Dispersion in Saturated Sand. Transp Porous Med 124, 91–116 (2018). https://doi.org/10.1007/s11242-018-1054-x

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