Analytical study of nonlinear consolidation effect on contaminant transport in an aquitard coupling diffusion and adsorption

IF 4 2区环境科学与生态学 Q1 WATER RESOURCES

Advances in Water Resources Pub Date : 2025-02-06 DOI:10.1016/j.advwatres.2025.104912

Zhaofeng Li , Xi Zou , Wen Zhang , Xiaoli Wu , Yue Hu , Genxu Wang , Walter A. Illman

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Abstract

Aquitards, which widely occur throughout sedimentary basins or alluvial plains, play important roles in groundwater storage and contaminant transport. In this study, a mathematical model for one-dimensional contaminant transport which considered the combined effects of diffusion, adsorption and nonlinear consolidation deformation processes in an aquitard (NCD model) was formulated. An analytical solution was then derived using the separation variable method and the generalized integral transformation technique approach, and the accuracy of the above analytical solution was verified by a numerical model. During the nonlinear consolidation process of the aquitard, the drawdown, Darcy velocity and void ratio remained unstable until the end of consolidation, and contaminants entry into the aquitard exhibited hysteresis influenced by aquitard consolidation. Increasing drawdown of the adjacent confined aquifer, compression index, initial hydraulic conductivity, initial effective stress of the aquitard as well as decreasing values of aquitard thickness, initial void ratio and partitioning coefficient were all found to reduce the breakthrough time of contaminant transport in an aquitard undergoing nonlinear consolidation. Compared with contaminant transport in non-deforming porous medium, where transport parameters identical to those of the aquitard before consolidation (ND model) and after finishing consolidation (ND_f model), the breakthrough time of contaminant transport for the NCD model (133.3 years) was significantly greater than that of the ND model (68.9 years), and it was slightly less than that of the ND_f model (140.6 years). The difference in breakthrough times, at which the contaminants reach 0.01 times the initial concentration, between the NCD and ND_f models had an obvious linear positive correlation with the consolidation factor and the cumulative water release from the aquitard.

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来源期刊

Advances in Water Resources 环境科学-水资源

CiteScore

9.40

自引率

6.40%

发文量

171

审稿时长

36 days

期刊介绍： Advances in Water Resources provides a forum for the presentation of fundamental scientific advances in the understanding of water resources systems. The scope of Advances in Water Resources includes any combination of theoretical, computational, and experimental approaches used to advance fundamental understanding of surface or subsurface water resources systems or the interaction of these systems with the atmosphere, geosphere, biosphere, and human societies. Manuscripts involving case studies that do not attempt to reach broader conclusions, research on engineering design, applied hydraulics, or water quality and treatment, as well as applications of existing knowledge that do not advance fundamental understanding of hydrological processes, are not appropriate for Advances in Water Resources. Examples of appropriate topical areas that will be considered include the following: • Surface and subsurface hydrology • Hydrometeorology • Environmental fluid dynamics • Ecohydrology and ecohydrodynamics • Multiphase transport phenomena in porous media • Fluid flow and species transport and reaction processes