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A generalized interpolation material point method for modelling coupled seepage-erosion-deformation process within unsaturated soils
Advances in Water Resources ( IF 4.7 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.advwatres.2020.103578
Xiaoqin Lei , Siming He , Xiaoqing Chen , Henry Wong , Lizhou Wu , Enlong Liu

Abstract In this paper, a computational framework based on the material point method (MPM) is developed to study the coupled seepage-erosion-deformation process within unsaturated soils. Based on the mixture theory, the unsaturated erodible soil is conceptualized as a three-phase multi-species porous medium, which is represented as a set of Lagrangian material points in a three-phase multi-species single point MPM framework. Governing equations as well as constitutive models for describing the coupled seepage-erosion-deformation behaviour within unsaturated erodible soils are presented: the solid skeleton is modelled as an elasto-plastic material; the pore water is treated as a weakly compressible fluid; while the fine particles in the solid matrix can be eroded and transferred into liquidised fine particles, and transported with the flowing liquid. This governing system is discretised with the generalized interpolation material point (GIMP) method and solved explicitly. The proposed coupled seepage-erosion-deformation GIMP is validated via three numerical examples and then employed for simulating the rainfall-induced slope failure process involving internal erosion. Thanks to the capability of the MPM in capturing large deformations, the evolution of the coupled seepage-erosion-deformation behaviour during the whole slope failure process can be obtained. This suggests that the proposed coupled GIMP framework is a promising approach for future studies of internal erosion problems in unsaturated soils involving complex multi-couplings of seepage flow, phase change and large deformations, which are difficult to be modelled by traditional mesh-based methods.

中文翻译:

非饱和土渗流-侵蚀-变形耦合过程建模的广义插值材料点法

摘要 本文开发了一种基于材料点法(MPM)的计算框架来研究非饱和土中渗流-侵蚀-变形耦合过程。基于混合理论,非饱和可蚀性土壤被概念化为三相多物种多孔介质,它表示为三相多物种单点 MPM 框架中的一组拉格朗日材料点。介绍了描述非饱和可侵蚀土壤中渗流-侵蚀-变形耦合行为的控制方程和本构模型:固体骨架被建模为弹塑性材料;孔隙水作为弱可压缩流体处理;而固体基质中的细小颗粒可以被侵蚀并转移成液态的细小颗粒,并随流动液体一起输送。该控制系统使用广义插值材料点 (GIMP) 方法进行离散化并明确求解。提出的渗流-侵蚀-变形耦合 GIMP 通过三个数值例子进行验证,然后用于模拟涉及内部侵蚀的降雨引起的边坡破坏过程。由于 MPM 捕捉大变形的能力,可以获得整个边坡破坏过程中渗流-侵蚀-变形耦合行为的演变。这表明,所提出的耦合 GIMP 框架是未来研究非饱和土壤中涉及渗流、相变和大变形的复杂多重耦合的内部侵蚀问题的一种有前途的方法,
更新日期:2020-07-01
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