Coupled interfacial and thermal effects on water imbibition in soil nanopores: A revised Lucas-Washburn framework based on molecular dynamics study

• Physics-informed Lucas-Washburn equation captures nanoscale capillary imbibition. • Coupled interfacial and thermal effects integrated through a scaling factor f . • Model validated across minerals and experiments with R 2 up to 0.95. The classical Lucas-Washburn (LW) equation fails to accurately describe capillary imbibition phenomena in soil nanopores, where nanoconfinement, temperature, and surface charge substantially alter interfacial water behavior. A generalized form of the LW equation is proposed, which integrates nanoscale effects through a physics-informed scaling factor f . This new formulation explicitly incorporates interfacial and thermal influences that are previously treated in isolation and whose coupled effects are neglected, significantly extending the applicability of the LW model to nanoconfined soil media. Using molecular dynamics (MD) simulations across 45 representative montmorillonite slit-pore systems (2–10 nm wide, 0–104.91 cmol·kg −1 CEC, and 300–360 K), the water interfacial structure is identified via a density-based clustering algorithm (DBSCAN) and extracted imbibition slopes are used to calibrate the model through systematic analysis of the interfacial and thermal effects on capillary transport. The generalizability of the revised framework is further demonstrated through 18 additional simulations for different soil mineral systems, including kaolinite and quartz. The novel LW equation significantly enhances predictive performance, increasing the coefficient of determination from 0.19 to 0.92. Cross-mineral comparisons demonstrate its broad applicability, with R 2 = 0.95 for kaolinite and 0.92 for quartz. Experimental validation using red-layer mudstone data confirms the accuracy of the proposed model, reducing RMSE from 71.63 mm to 5.54 mm. This work bridges interfacial molecular-level insights and practical continuum-scale predictions, offering a robust tool for assessing capillary-driven water transport in mineral-rich environments.

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Publication Details

Journal
Journal of Hydrology
Published
2026-03-01
DOI
https://doi.org/10.1016/j.jhydrol.2026.135416
Primary Topic
Soil and Unsaturated Flow
Type
article
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article

Coupled interfacial and thermal effects on water imbibition in soil nanopores: A revised Lucas-Washburn framework based on molecular dynamics study

Yu Zhong, Jiapei Du, Annan Zhou, Ali Zaoui
Journal of Hydrology
Soil and Unsaturated Flow
article

Coupled interfacial and thermal effects on water imbibition in soil nanopores: A revised Lucas-Washburn framework based on molecular dynamics study

Yu Zhong, Jiapei Du, Annan Zhou, Ali Zaoui
article en

Abstract

• Physics-informed Lucas-Washburn equation captures nanoscale capillary imbibition. • Coupled interfacial and thermal effects integrated through a scaling factor f . • Model validated across minerals and experiments with R 2 up to 0.95. The classical Lucas-Washburn (LW) equation fails to accurately describe capillary imbibition phenomena in soil nanopores, where nanoconfinement, temperature, and surface charge substantially alter interfacial water behavior. A generalized form of the LW equation is proposed, which integrates nanoscale effects through a physics-informed scaling factor f . This new formulation explicitly incorporates interfacial and thermal influences that are previously treated in isolation and whose coupled effects are neglected, significantly extending the applicability of the LW model to nanoconfined soil media. Using molecular dynamics (MD) simulations across 45 representative montmorillonite slit-pore systems (2–10 nm wide, 0–104.91 cmol·kg −1 CEC, and 300–360 K), the water interfacial structure is identified via a density-based clustering algorithm (DBSCAN) and extracted imbibition slopes are used to calibrate the model through systematic analysis of the interfacial and thermal effects on capillary transport. The generalizability of the revised framework is further demonstrated through 18 additional simulations for different soil mineral systems, including kaolinite and quartz. The novel LW equation significantly enhances predictive performance, increasing the coefficient of determination from 0.19 to 0.92. Cross-mineral comparisons demonstrate its broad applicability, with R 2 = 0.95 for kaolinite and 0.92 for quartz. Experimental validation using red-layer mudstone data confirms the accuracy of the proposed model, reducing RMSE from 71.63 mm to 5.54 mm. This work bridges interfacial molecular-level insights and practical continuum-scale predictions, offering a robust tool for assessing capillary-driven water transport in mineral-rich environments.

Journal of Hydrology
Université de Lille (FR), Université d'Artois (FR), Université Lille Nord de France (FR), RMIT University (AU)
Clean water and sanitation
Openalex Percentile: Top 4%
Soil and Unsaturated Flow
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