The slurry diffusion equation of power-law fluid was derived based on the constitutive equation of power-law fluid, aiming to study the diffusion law of slurry in fissures, Considering the two-way coupling of the surrounding rock stress field and the slurry fluid field, a single fracture grouting model considering fluid-solid interaction is established using a finite element simulation software. A sensitivity study was performed to evaluate the influence of grouting pressure, slurry density, and crack opening on slurry spreading and crack deformation. It is found that the degree of influence of grouting factors on the dispersion radius of grout is in order from high to low: crack opening, grouting pressure, and slurry density; the degree of influence of grouting factors on maximum deformation of cracks is: Slurry pressure, crack opening, slurry density. © 2021, Editorial Office of Journal of Mining and Strata Control Engineering. All right reserved.