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Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry

Author

Listed:
  • Jiasen Liang

    (School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450001, China)

  • Shaokun Ma

    (School of Civil Engineering, Guangxi University, Nanning 530004, China)

  • Xueming Du

    (School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450001, China)

Abstract

Polymers as a new chemical grouting material have been widely used in fractured rock mass; however, the understanding of polymer diffusion characteristics still needs to be further improved. In order to study the diffusion mechanism of foamed polymer slurry in rock fissures, the radial diffusion model of polymer single crack grouting is derived in consideration of the factors such as grouting volume, crack width and expansion rate. The influence of different factors on slurry diffusion radius, diffusion pressure and flow rate is analyzed, The diffusion model is verified by finite element numerical simulation. The findings show that (1) The results of slurry diffusion radius, pressure and velocity distribution at different times under different working conditions in the present model are in good agreement with the analytical solution; (2) The diffusion pressure is directly proportional to the grouting volume and expansion multiple, and inversely proportional to the crack width. In addition, diffusion pressure decreases with the increase of diffusion distance, and the pressure at the corresponding distance increases slowly with time, and finally tends to be stable; (3) For the same section, the radial velocity decreases slowly with the increase of time; for different sections, the flow velocity increases sharply with the increase of the distance between the section and the central axis of the grouting hole.

Suggested Citation

  • Jiasen Liang & Shaokun Ma & Xueming Du, 2021. "Diffusion Model of Parallel Plate Crack Grouting Based on Foaming Expansion Characteristics of Polymer Slurry," Mathematics, MDPI, vol. 9(22), pages 1-18, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2907-:d:679728
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    Cited by:

    1. Shaofeng Wang & Xin Cai & Jian Zhou & Zhengyang Song & Xiaofeng Li, 2022. "Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics," Mathematics, MDPI, vol. 10(18), pages 1-5, September.

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