One-dimensional non-Darcian flow model incorporating the impact of nonlinear clay consolidation on the threshold hydraulic gradient

IF 4.2 2区环境科学与生态学 Q1 WATER RESOURCES

Advances in Water Resources Pub Date : 2026-04-01 Epub Date: 2026-02-12 DOI:10.1016/j.advwatres.2026.105239

Xianmeng Meng , Lintao Shen , Xiaoxuan Liu , Qu Wang , Maosheng Yin , Dengfeng Liu

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Abstract

The process of clay consolidation can alter hydraulic conductivity, which subsequently impacts the threshold hydraulic gradient, thereby affecting seepage flow. Existing seepage consolidation models have not considered the impact of changing hydraulic conductivity on the threshold hydraulic gradient. To address this issue, this paper establishes a one-dimensional non-Darcian flow model that accounts for the changes in the threshold hydraulic gradient due to the nonlinear consolidation characteristics of clay. The model is solved using the finite difference method, and the results are compared with those from a model that neglects the changes in the threshold hydraulic gradient. The results indicate that when the changes in the threshold hydraulic gradient are taken into account, both the rate of movement of the seepage moving boundary and the seepage flow velocity are reduced. The hydraulic head calculated with consideration of the threshold hydraulic gradient changes is higher than that calculated without considering such changes. The discrepancies in the position of the seepage moving boundary and the threshold hydraulic gradient collectively dictate the variations in the hydraulic head difference and the seepage flow velocity difference. When the initial hydraulic conductivity is small, the initial void ratio is large, the compression index is large, and the permeability index is small, the differences in hydraulic head between the model accounting for changes in the threshold hydraulic gradient and the one that does not are more significant. Ultimately, a laboratory experiment is used to validate the developed model. Experimental simulation results indicate that ignoring the variation in the threshold hydraulic gradient in long-term seepage simulations leads to a flow prediction error of approximately 15%.

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考虑非线性粘土固结对阈值水力梯度影响的一维非达西流动模型

粘土固结过程会改变导水率，进而影响阈值水力梯度，从而影响渗流。现有渗流固结模型未考虑导水率变化对阈值水力梯度的影响。为了解决这一问题，本文建立了一维非达西流动模型，该模型考虑了黏土非线性固结特性引起的阈值水力梯度的变化。采用有限差分法对模型进行求解，并与忽略阈值梯度变化的模型结果进行了比较。结果表明：当考虑阈值水力梯度的变化时，渗流移动边界的移动速率和渗流速度均有所减小；考虑阈值水力梯度变化计算的水头高于不考虑阈值水力梯度变化计算的水头。渗流移动边界位置和阈值水力梯度的差异共同决定了水头差和渗流速度差的变化。当初始水力导率小、初始孔隙比大、压缩指数大、渗透率指数小时，考虑阈值水力梯度变化的模型与不考虑阈值水力梯度变化的模型水头差异更显著。最后，通过实验室实验验证了所开发的模型。实验结果表明，在长期渗流模拟中，忽略阈值水力梯度的变化会导致流量预测误差约为15%。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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