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Diffusion of polymer permeation grouting in water-rich sand layers: Mathematical model and experimental validation
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Jiasen Lianga, b, Xueming Dua, b, *, Lei Wanga, b, Hongyuan Fanga, b, Xiaohua Zhaoa, b, Bin Lia, b, Kejie Zhaia, b, Shanyong Wangc
Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5) : 3703 - 3721
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Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5): 3703-3721
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Diffusion of polymer permeation grouting in water-rich sand layers: Mathematical model and experimental validation
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Jiasen Lianga, b, Xueming Dua, b, *, Lei Wanga, b, Hongyuan Fanga, b, Xiaohua Zhaoa, b, Bin Lia, b, Kejie Zhaia, b, Shanyong Wangc
Affiliations
  • aSchool of Water Conservancy and Transportation, Zhengzhou University, Zhengzhou, 450001, China
  • bYellow River Laboratory (Hennan), Zhengzhou, 450001, China
  • cPriority Research Centre for Geotechnical Science and Engineering, School of Engineering, University of Newcastle, Callaghan, NSW, 2308, Australia
  • Xueming Du received his PhD degree from the School of Resources and Safety Engineering at Central South University. He is currently a tenure-track researcher at the School of Water Conservancy and Transportation, Zhengzhou University. His research focuses on the control of adverse geological hazards in underground engineering, the development of novel grouting materials, and intelligent evaluation techniques. He proposed an integrated rapid multi-scale detection technology for urban pavement structures based on coupled dynamic and electromagnetic methods. He established coupled diffusion models for different types of grouts (particle-based and permeable/foaming chemical types) in porous and fractured media, revealing the mechanisms by which grout fluid properties and the characteristics of pore and fracture structures influence grout diffusion behavior. Furthermore, he developed a complete set of precision grouting repair technologies for full-space restoration of urban pavement bases and subgrades.

Published: 2026-05-25 doi: 10.1016/j.jrmge.2025.11.007
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Water-rich sand layers are frequently encountered as adverse geological conditions during underground construction. Polymer slurry grouting has been widely recognized as an effective technique for reducing permeability and enhancing the stability of such strata. In this study, a mathematical model is established to describe the diffusion behavior of polymer slurry in porous media under dynamic water conditions and is further validated through laboratory experiments. The theoretical formulation of the slurry permeation process is developed based on Darcy's law, the Hagen-Poiseuille flow principle, and the physicochemical characteristics of the slurry. The derivation primarily focuses on analyzing the dynamic response of the slurry under the influence of water flow, considering the effects of flow velocity, grouting pressure, and sand-layer porosity on diffusion behavior. To verify the proposed model, a visualized grouting simulation system was designed to observe the diffusion process of polymer slurry in water-rich sand layers. The results demonstrate that slurry diffusion is significantly affected by grouting pressure, porosity, and water flow velocity. The observed staged diffusion characteristics, dynamic evolution patterns, and directional effects are in good agreement with theoretical predictions. Furthermore, the average relative deviations between the theoretical and experimental results for diffusion pressure and diffusion distance are both less than 25 %, confirming the reliability of the proposed model. Additionally, this study identifies distinct differences in slurry diffusion between porous and void media. In porous media, slurry propagation encounters greater hydraulic resistance, leading to rapid pressure attenuation and a limited diffusion range. Conversely, diffusion in void media occurs more smoothly due to the continuous cavity structure, resulting in slower pressure decay and a substantially larger diffusion radius. These findings elucidate the mechanisms governing slurry diffusion under dynamic water conditions and provide a theoretical basis for optimizing grouting parameters and improving construction efficiency in water-bearing strata.

Water-rich sand layer  /  Model derivation  /  Permeation grouting  /  Polymer slurry  /  Diffusion mechanism
Jiasen Liang, Xueming Du, Lei Wang, Hongyuan Fang, Xiaohua Zhao, Bin Li, Kejie Zhai, Shanyong Wang. Diffusion of polymer permeation grouting in water-rich sand layers: Mathematical model and experimental validation[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2026 , 18 (5) : 3703 -3721 . DOI: 10.1016/j.jrmge.2025.11.007
  • National Natural Science Foundation of China(52578491)
  • Outstanding Youth Fund for Natural Science of Henan Province(232300421064)
  • Program for Science and Technology Innovation Talents in Universities of Henan Province(25HASTIT014)
Year 2026 volume 18 Issue 5
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Article Info
doi: 10.1016/j.jrmge.2025.11.007
  • Receive Date:2025-07-09
  • Online Date:2026-06-17
  • Published:2026-05-25
Article Data
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History
  • Received:2025-07-09
  • Revised:2025-11-03
  • Accepted:2025-11-24
Funding
National Natural Science Foundation of China(52578491)
Outstanding Youth Fund for Natural Science of Henan Province(232300421064)
Program for Science and Technology Innovation Talents in Universities of Henan Province(25HASTIT014)
Affiliations
    aSchool of Water Conservancy and Transportation, Zhengzhou University, Zhengzhou, 450001, China
    bYellow River Laboratory (Hennan), Zhengzhou, 450001, China
    cPriority Research Centre for Geotechnical Science and Engineering, School of Engineering, University of Newcastle, Callaghan, NSW, 2308, Australia

Corresponding:

* Corresponding author. School of Water Conservancy and Transportation, Zhengzhou University, Zhengzhou, 450001, China. E-mail address: (X. Du).
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表12种不同金属材料的力学参数

Family
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Number of
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种数
Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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