Abstract The two-liquid mixing grouting method of quick-setting slurry and its time-dependent viscosity characteristics lead to an uneven distribution of viscosity in the slurry diffusion zone. At present, there still lacks reasonable and effective slurry-water interaction analysis method to reveal the diffusion behavior of quick-setting slurry in dynamic water. Therefore, a Sequential Diffusion and Solidification (SDS) method was proposed in this study, taking the spatial-temporal evolution of slurry viscosity into account. In addition, the validity and necessity of the SDS method were verified. The maximum error between the calculation result and the test result was less than 15%. Based on the SDS method, the slurry diffusion process under different flow velocities was analyzed and the effects of flow velocities on the changes of the grouting pressure, the counter-flow diffusion distance, and the down-flow diffusion behavior were explored. The applicability and the feasibility of studying the slurry diffusion mechanism in a wide fracture on an engineering scale were determined. This further confirmed the adequacy and the power of the numerical approach. Therefore, the SDS method could be used to simulate the dynamic water grouting. The SDS method could also provide an improved method for the simulation of permeation grouting and compaction grouting.

中文翻译：

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在岩石裂缝中使用速凝浆进行动态注水的数值模拟：顺序扩散和凝固 (SDS) 方法

摘要 速凝浆液两液混合灌浆法及其随时间变化的粘度特性导致浆液扩散区粘度分布不均。目前，尚缺乏合理有效的浆水相互作用分析方法来揭示速凝浆在动态水中的扩散行为。因此，本研究提出了一种顺序扩散和固化（SDS）方法，同时考虑了浆料粘度的时空演变。此外，验证了SDS方法的有效性和必要性。计算结果与试验结果最大误差小于15%。基于SDS方法，分析了不同流速下的浆液扩散过程，探讨了流速对注浆压力、逆流扩散距离和下流扩散行为变化的影响。确定了在工程规模上研究宽裂缝中泥浆扩散机制的适用性和可行性。这进一步证实了数值方法的充分性和威力。因此，SDS方法可用于模拟动态注水。SDS 方法还可以为模拟渗透注浆和压实注浆提供一种改进方法。确定了在工程规模上研究宽裂缝中泥浆扩散机制的适用性和可行性。这进一步证实了数值方法的充分性和威力。因此，SDS方法可用于模拟动态注水。SDS 方法还可以为模拟渗透注浆和压实注浆提供一种改进方法。确定了在工程规模上研究宽裂缝中泥浆扩散机制的适用性和可行性。这进一步证实了数值方法的充分性和威力。因此，SDS方法可用于模拟动态注水。SDS 方法还可以为模拟渗透注浆和压实注浆提供一种改进方法。