论文标题

矿物沉淀和溶解的多孔培养基的不确定性定量

Uncertainty quantification for mineral precipitation and dissolution in fractured porous media

论文作者

Botti, Michele, Fumagalli, Alessio, Scotti, Anna

论文摘要

在这项工作中,我们提出了一个不确定性量化分析,以确定在断裂的多孔介质中反应性传输模型中某些物理参数的影响和重要性。裂缝中流量和运输的准确描述是获得可靠的模拟的关键,但是,断裂的几何形状和物理特征构成了建模和实施方面的几个挑战。我们采用混合尺寸的近似,其中断裂及其交叉点表示为较低维度的对象。为了简化演示文稿,我们仅考虑两种化学物种:一种溶质,用水运输,一个沉淀物附着在固体骨架上。对不确定输入数据进行全局敏感性分析,以利用多项式混乱的扩展以及稀疏网格上的光谱投影方法。

In this work, we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive transport model in fractured porous media. An accurate description of flow and transport in the fractures is key to obtain reliable simulations, however, fractures geometry and physical characteristics pose several challenges from both the modeling and implementation side. We adopt a mixed-dimensional approximation, where fractures and their intersections are represented as objects of lower dimension. To simplify the presentation, we consider only two chemical species: one solute, transported by water, and one precipitate attached to the solid skeleton. A global sensitivity analysis to uncertain input data is performed exploiting the Polynomial Chaos expansion along with spectral projection methods on sparse grids.

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