一种理想自膨胀浆液单裂隙扩散模型

Diffusion model of an ideal expansible grout in single fracture

为研究自膨胀浆液在岩体裂隙中的扩散机制,以一种已知密度随时间变化规律的理想自膨胀浆液为对象,基于黏性流体力学理论,考虑浆液初始充填范围、裂隙开度、时间、膨胀系数等因素的影响,推导无水条件下浆液在平面单裂隙中的径向扩散模型,并结合典型工况,采用通用CFD软件Fluent建立相应的轴对称分析模型,对该理论模型进行数值验证,结果显示,不同工况下求解得到的不同时刻浆液扩散半径、压力、流速分布等结果与解析解吻合良好,从而证明了所推导扩散模型的合理性与正确性。该模型的提出对于自膨胀浆液裂隙注浆理论研究具有一定参考价值。

This study is to investigate the diffusion mechanism of an ideal self-expansible grout with known density variation over time in rock fracture. Based on the viscous fluid mechanics,a radial diffusion model of the expansible grout in a single water-free fracture is deduced considering the factors such as the initial grout filling range,fracture aperture,time and expansion coefficient. The corresponding axisymmetric model in typical grouting conditions is established with the general CFD software Fluent to verify the analytical model numerically. The numerical results of the grout diffusion radius,pressure and flow velocity distribution are in good agreement with the analytic results at different times under different conditions,which proves the rationality and correctness of the diffusion model.