To investigate the longitudinal initiation and diffusion mechanism of rock fracturing and grouting

the movement law of the rheological property of slurry and the form of the crack propagation are analyzed considering the mechanical properties of the injected rock mass and ground stress. In addition

the longitudinal fracturing diffusion model considering the rheological property of slurry is established

and the initial pressure of longitudinal fracturing and the expansion conditions of fracturing channel are given. Taking the fracture geometry and the rheological property of the slurry into account

the slurry diffusion equation is derived and verified by experiments. Studies have shown that

in addition to the factors such as grouting pressure and grouting rate

the diffusion range is also controlled by the height of the grouting section

the strength of the injected rock body

and the rheological property of the slurry during longitudinal fracture grouting. These influencing factors are all negatively correlated with the fracturing diffusion radius and positively correlated with the grouting pressure. The rock mass with high strength and the liquid with great viscosity can lead to high resistance encountered by the fracturing grouting

which can further result in difficult crack propagation. The research results can provide a theoretical reference for fracture grouting designs of the bedrock in the future.