Numerical modelling of double diffusion driven reactive flow transport in deformable fluid‐saturated porous media with particular consideration of temperature‐dependent chemical reaction rates
Numerical modelling of double diffusion driven reactive flow transport in deformable fluid‐saturated porous media with particular consideration of temperature‐dependent chemical reaction rates
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DOI：
10.1108/02644400010334801
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发表时间：
2000
影响因子：
1.6
通讯作者：
Chong-bin Zhao;B. Hobbs;H. Muhlhaus;A. Ord;G. Lin
中科院分区：
文献类型：
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作者：
Chong-bin Zhao;B. Hobbs;H. Muhlhaus;A. Ord;G. Lin
数值方法用于求解双扩散驱动的可变形流体饱和多孔介质中的反应流输运问题。特别地，考虑了非平衡化学反应中的温度依赖的反应速率。将FLAC中的有限差分法与FIDAP中的有限元法相结合，发展了一种求解可变形流体饱和多孔介质中材料变形、孔隙流体流动、传热和组分输运/化学反应等全耦合问题的通用数值求解方法。耦合问题被分成两个子问题，交互求解，直到满足收敛要求。由于数值方法的近似性质，必须通过某种理论分析来证明数值解的正确性。本文件强调了这一点。相关的数值结果与理论分析相吻合，表明该方法是可行的。
Numerical methods are used to solve double diffusion driven reactive flow transport problems in deformable fluid‐saturated porous media. In particular, the temperature dependent reaction rate in the non‐equilibrium chemical reactions is considered. A general numerical solution method, which is a combination of the finite difference method in FLAC and the finite element method in FIDAP, to solve the fully coupled problem involving material deformation, pore‐fluid flow, heat transfer and species transport/chemical reactions in deformable fluid‐saturated porous media has been developed. The coupled problem is divided into two sub‐problems which are solved interactively until the convergence requirement is met. Owing to the approximate nature of the numerical method, it is essential to justify the numerical solutions through some kind of theoretical analysis. This has been highlighted in this paper. The related numerical results, which are justified by the theoretical analysis, have demonstrated that the prop...