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基于巴顿公式中的标准节理面轮廓线建立微裂隙几何模型,采用纳维–斯托克斯方程,并将浆液视为宾汉姆流体,建立微裂隙注浆扩散有限元模型,对微裂隙注浆过程中浆液扩散过程展开计算分析,获得裂隙粗糙度、隙宽以及浆液黏度等因素对浆液扩散的影响规律。计算结果表明,当浆液黏度较高时,浆液流动损失主要受黏滞力控制,裂隙等效隙宽随浆液黏度呈非线性增长。对于具有相同粗糙程度的裂隙,等效隙宽随黏度的增长曲线均存在一个明显的拐点,随着裂隙粗糙程度增加,拐点逐渐向前推移,并且突变更加明显。通过多元函数拟合建立等效隙宽与浆液黏度以及裂隙粗糙度的拟合公式。当浆液黏度以及裂隙的粗糙度较低时该公式存在一定误差,而在考虑实际注浆需要所对应的参数变化范围内,该公式均具有较好的拟合效果。研究结果对微裂隙岩体注浆扩散理论具有一定借鉴意义。
Based on the standard joint surface profile in Barton formula, the micro-fracture geometry model was established. The Navier-Stokes equation was used and the slurry was regarded as Bingham fluid. The micro-fracture grouting diffusion finite element model was established, During the process of slurry diffusion, the calculation and analysis of the slurry diffusion process are carried out, and the influences of fracture roughness, gap width and slurry viscosity on the slurry diffusion are obtained. The calculated results show that when the viscosity of the slurry is high, the loss of slurry flow is mainly controlled by the viscous force, and the equivalent fracture width increases nonlinearly with the viscosity of the slurry. For the cracks with the same roughness, there is a significant inflection point between the equivalent gap width and the viscosity growth curve. As the fracture roughness increases, the inflection point gradually moves forward, and the mutation becomes more obvious. Fitting formulas of equivalent gap width, slurry viscosity and crack roughness were established by multivariate function fitting. The formula has some errors when the viscosity of the slurry and the roughness of the fractures are low, and the formula has a good fitting effect within the range of the parameters corresponding to the actual grouting needs. The research results have certain reference significance for grouting diffusion theory of micro-fractured rock mass.