基于分形理论的多孔介质渗透注浆机制

侯晓萍; 莫浩; 赵卫全; 黄勇

doi:10.11988/ckyyb.20230536

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长江科学院院报 ›› 2024, Vol. 41 ›› Issue (9) : 106-113. DOI: 10.11988/ckyyb.20230536

岩土工程

基于分形理论的多孔介质渗透注浆机制

侯晓萍 ¹^,² ,
莫浩 ¹ ,
赵卫全 ³ ,
黄勇 ⁴

作者信息 +

Infiltration Grouting Mechanism in Porous Media Based on Fractal Theory

HOU Xiao-ping ¹^,² ,
MO Hao ¹ ,
ZHAO Wei-quan ³ ,
HUANG Yong ⁴

Author information +

文章历史 +

摘要

为研究宾汉姆浆液在多孔介质地层的渗透注浆机制,基于分形理论、毛细管模型和宾汉姆浆液流变方程,推导了基于分形理论的宾汉姆浆液渗透扩散表观速度公式和多孔介质渗透注浆球形扩散公式;利用已有的理论模型和室内渗透注浆试验成果对推导的理论公式进行了对比、分析和验证。研究结果表明:与传统的宾汉姆浆液渗透注浆扩散公式相比,基于分形理论的多孔介质渗透注浆扩散公式获得的浆液扩散半径更接近于室内试验成果。该研究成果可为实际多孔介质地层注浆工程提供一定的理论支撑。

Abstract

To investigate the infiltration grouting mechanism of Bingham fluid in porous media, we derived formulas for calculating the apparent velocity of infiltration diffusion and the spherical infiltration grouting diffusion distance of Bingham fluid in porous media based on the fractal theory, the capillary model, and the rheological equation of Bingham fluid. We compared and validated the theoretical formulas against existing models and laboratory grouting tests. The results indicate that the diffusion radius of the grout calculated using the fractal theory-based formulas aligns more closely with experimental data compared to conventional Bingham fluid infiltration grouting formulas. These findings offer valuable theoretical support for practical grouting applications in porous media strata.

导出引用

侯晓萍, 莫浩, 赵卫全, 等. 基于分形理论的多孔介质渗透注浆机制[J]. 长江科学院院报. 2024, 41(9): 106-113 https://doi.org/10.11988/ckyyb.20230536

HOU Xiao-ping, MO Hao, ZHAO Wei-quan, et al. Infiltration Grouting Mechanism in Porous Media Based on Fractal Theory[J]. Journal of Yangtze River Scientific Research Institute. 2024, 41(9): 106-113 https://doi.org/10.11988/ckyyb.20230536

中图分类号： TU451

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