Coupled Large Strain Consolidation and Solute Transport. I: Model Development
Coupled Large Strain Consolidation and Solute Transport. I: Model Development
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DOI：
10.1061/(asce)1090-0241(2007)133:1(3
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发表时间：
2007
影响因子：
3.9
通讯作者：
P. Fox
中科院分区：
文献类型：
--
作者：
P. Fox
提出了饱和多孔介质中大应变固结和溶质输运耦合的数值模型CST1。加固算法是一维的，包括以前的代码CS2的功能，并增加了与时间相关的加载、卸载/重新加载效果和外部应用的水力梯度。溶质输运算法是二维的，考虑了平流、纵向和横向色散、一级衰变反应和线性平衡吸收。固结层中溶质运移与孔隙率和渗流速度的时空变化一致。输运模型的关键是两个拉格朗日场的定义，这两个拉格朗日场分别遵循流体和固体相的运动。这减少了数值色散，并将输运计算简化为相邻流体单元之间色散质量流的计算。讨论了流体和固体元素的相对数值分辨率对吸附/解吸精度的影响。本文介绍了CST1模型的理论和数值发展。另一篇论文给出了CST1的验证检查和模拟结果，这些结果说明了固结引起的溶质运移对一些有趣的数值例子的重要性。
The development of a numerical model, CST1, for coupled large strain consolidation and solute transport in saturated porous media is presented. The consolidation algorithm is one-dimensional and includes the capabilities of a previous code, CS2, with the addition of time-dependent loading, unload/reload effects, and an externally-applied hydraulic gradient. The solute transport algorithm is two-dimensional and accounts for advection, longitudinal and transverse dispersion, first-order decay reactions, and linear equilibrium sorption. Solute transport is consistent with temporal and spatial variations of porosity and seepage velocity in the consolidating layer. The key to the transport model is the definition of two Lagrangian fields of elements that follow the motions of fluid and solid phases separately. This reduces numerical dispersion and simplifies transport calculations to that of dispersion mass flow between contiguous fluid elements. The effect of relative numerical resolution of fluid and solid elements on the accuracy of sorption/desorption is also discussed. This paper presents the theoretical and numerical development of the CST1 model. A companion paper presents verification checks of CST1 and the results of simulations that illustrate the significance of consolidation-induced solute transport for some interesting numeric examples.