NUMERICAL ANALYSIS OF APPARATUS-INDUCED DISPERSION FOR DENSITY-DEPENDENT SOLUTE TRANSPORT IN POROUS MEDIA

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

ANZIAM Journal Pub Date : 2023-01-01 DOI:10.1017/s1446181123000135

H. ZHANG, D. A. BARRY, B. SEYMOUR, G. HOCKING

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引用次数: 1

Abstract

Abstract The effects of apparatus-induced dispersion on nonuniform, density-dependent flow in a cylindrical soil column were investigated using a finite-element model. To validate the model, the results with an analytical solution and laboratory column test data were analysed. The model simulations confirmed that flow nonuniformities induced by the apparatus are dissipated within the column when the distance to the apparatus outlet exceeds $3R/2$ , where R represents the radius of the cylindrical column. Furthermore, the simulations revealed that convergent flow in the vicinity of the outlet introduces additional hydrodynamic dispersion in the soil column apparatus. However, this effect is minimal in the region where the column height exceeds $3R/2$ . Additionally, it is found that an increase in the solution density gradient during the solute breakthrough period led to a decrease in flow velocity, which stabilized the flow and ultimately reduced dispersive mixing. Overall, this study provides insights into the behaviour of apparatus-induced dispersion in nonuniform, density-dependent flow within a cylindrical soil column, shedding light on the dynamics and mitigation of flow nonuniformities and dispersive mixing phenomena.

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多孔介质中密度相关溶质输运的仪器诱导色散数值分析

摘要采用有限元模型研究了仪器诱导弥散对柱状土非均匀密度相关流动的影响。为了验证该模型，用解析溶液和实验室柱试验数据对结果进行了分析。模型模拟证实，当与装置出口的距离超过$3R/2$时，装置引起的流动不均匀性在柱内消散，其中R表示圆柱形柱的半径。此外，模拟结果还表明，在出口附近的收敛流动在土柱装置中引入了额外的水动力弥散。然而，这种影响是最小的区域，其中列的高度超过$3R/2$。此外，溶质突破期溶液密度梯度的增大导致流速的减小，从而稳定了流动，最终减少了弥散混合。总的来说，这项研究提供了对非均匀、密度依赖的圆柱形土柱内流动中设备诱导的分散行为的见解，揭示了流动不均匀性和分散混合现象的动力学和缓解。

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来源期刊

ANZIAM Journal 数学-应用数学

CiteScore

1.30

自引率

11.10%

发文量

审稿时长

1 months

期刊介绍： The ANZIAM Journal considers papers in any field of applied mathematics and related mathematical sciences with the aim of rapid publication in print and electronic formats. Novel applications of mathematics in real situations are especially welcomed. All papers should include some indication of applicability, and an introduction that can be understood by non-specialist readers from the whole applied mathematical community.