(1. 中南大学 资源与安全工程学院，长沙 410083；
2. 广西翔路建设有限责任公司，南宁 530029)
摘 要: 浆液扩散与压力变化情况是衡量注浆效果的重要参数，在传统的浆液扩散压力的研究中往往没有考虑被注介质孔隙通道的曲折效应，这造成计算得出的注浆压力值与实际值有明显的偏差。为此，根据分形理论推导出孔隙通道的曲折效应方程，并通过幂律流体本构方程导出考虑孔隙曲折效应的浆液扩散模型。分析孔隙曲折效应对扩散压力的影响，同时讨论了浆液黏度、流变指数以及单位注浆量对注浆压力衰减的影响规律。结果表明：若不考虑曲折效应，注浆压力随扩散距离的增大呈现缓慢衰减的变化趋势，若采用本研究中所推导的模型，其注浆压力随扩散距离的增大呈现急剧下降趋势；若考虑曲折效应，流变指数在特定的范围内，其压力损耗随流变指数的增大呈现首先急剧下降，之后变化幅度很小。
关键字: 曲折效应；分形理论；注浆压力；扩散规律
（1. School of Resources and Safety Engineering, Central South University, Changsha 410083, China;
2. Guangxi Xianglu Construction Co.LTD., Nanning 530029, China）
Abstract:The pore channel of porous media is tortuous in practice, however, the tortuosity of the pore channel of the injected medium is ignored in the traditional method, which results in obvious bias between the calculated value and the actual value of grouting pressure. The tortuosity equation of the pore channel was derived according to the fractal theory. A slurry diffusion model considering the effect of tortuosity of the pore channel was derived based on the above equation and the constitutive equation of the power law fluid. The effect of pore tortuosity on diffusion pressure were analyzed with the new model. And the change laws of slurry viscosity, rheological index and the unit volume of grouting on the attenuation of grouting pressure were also discussed. The results shows that without taking pore tortuosity into account, the grouting pressure presents the trend of slow attenuation with the increase of the diffusion distance. However, by using the deduced model considering the pore tortuosity, the grouting pressure presents the trend of sharp downward with the increase of the diffusion distance. And the pressure loss decreases rapidly with the increase of the rheological index in a certain range, and then the change range is very small.
Key words: pore tortuosity; fractal theory; grouting pressure; diffusion law
