## 1 Introduction  
With the development of society and improvements in the quality of life, humankind's demand for energy is growing, and high-quality mineral resources are constantly being exploited. However, with the increasing depth of mining, the incidence of mining disasters is also increasing. Metal deposits are generally distributed in mountainous areas, so the geological formations encountered in the mining area tend to be well developed, and faults are widely distributed. The existence of these faults destroys the continuity and integrity of the rock mass around the mining area. Faults have an impact on roadway support and may also limit the mining scope and the direction of mining of the deposit, which is an important factor affecting the safety of underground mining in metal mines and is, therefore, of great significance in studying the effect of mining disturbances on faults [1, 2]. In different geological conditions, mining method selection is strictly controlled because different tectonic geological conditions influence the selection of different mining methods. Currently, the methods commonly used in mining are the stratified filling method, the sublevel caving method without the sill pillar, the room and pillar mining method, and the natural caving method [3, 4, 5]. Considering various needs, such as economy and safety production, there has also been extensive research on the optimization of structural parameters for different mining methods [6; 7]. The complex tectonic geological background of the mining area is usually reflected in the variety of mining methods used in a synergistic form of operation. There are also abundant research results on the effects of different mining methods and co-mining methods on the instability of surrounding rock, high-level pillars, roof and overburden [8; 9; 10]. This paper takes the Gansu Jinchang Longshou Mine West Second Mining Area as an example for related research. The Jinchang Longshou Mine West Second Mining Area is a typical sharp-inclined metal mine where the sublevel caving method without the sill pillar and the lower-layer filling method are currently used for coordinated mining. An F8 fault exists in the mining area, which is the largest fault in the Longshou Mine. This special geological structure increases the risk of a mine disaster, and the dynamic response of the fault changes under the disturbance of mining, which makes instability slipping more likely, with the decrease in stability resulting in the collapse of the roof of the overlying rock, which damages the surrounding rock and seriously affects production safety. Domestic and international scholars have produced a wealth of research on the impact of mining disturbances on the stability of faults. [PERSON] [11] used an experimental rock friction slip test as the basis for analyzing the viscous-slip characteristics of fault sliding in the seismic process, and their research was the beginning of the \"fault viscous-slip destabilization theory\". [PERSON] and [PERSON] et al. used numerical simulation to analyze the stress change in surrounding rock near the fault and concluded that the spread of rock stress became discontinuous at the interface between the fracture surface and the coal seam, which can easily lead to the accumulation of deformation energy in the coal body and the rapid release of gas pressure, thus causing an eruption event [12; 13]. [PERSON] et al. carried out on-site physical tests and numerical simulations and found that rapid changes to the top plate anchor loading, roof separation, and roadway deformation may be related to the sudden destabilization of the fault structure [14]. [PERSON] et al. studied the evolution characteristics of the stress and displacement of surrounding rock, and faults under mining action are studied by using simulation experiments and numerical simulations, with the activation mechanism of the fault being analyzed [15; 16; 17; 18; 19; 20]. [PERSON] et al. performed a dynamic numerical analysis of a model of faults running parallel to a plate-like deposit.