# Research on Seismic Wave Quality Factor of Marble Jointed Rock Mass under SHPB Impact
## 1 Introduction  
The rock mass structure is composed of many discontinuities, such as joints, faults and other weakening surfaces, which play a major role in controlling the mechanical properties of the rock mass structure [1]. These discontinuities will block the propagation of stress wave in rock mass, slowing down and weakening the propagation of stress waves [2; 3; 4]. In mining engineering, the rock mass is unavoidably disturbed by frequent blasting shock waves, which gradually damages and fractures rock mass under repeated disturbances and eventually leads to rock mass destruction, seriously threatening the safety of mining [5; 6; 7; 8; 9; 10; 11]. Therefore, it is of great significance to study energy dissipation of jointed rock mass and obtain seismic wave quality factors of rock mass for mine safety production. At present, most of the research focuses on the amplitude change in stress waves after they pass through the joint, and the energy attenuation of stress waves is rarely analyzed; stress wave energy attenuation is an important part of stress wave propagation law, which can provide a certain reference for blasting vibration analysis and prediction [12; 13]. Therefore, it is valuable to fully understand the influence of joints on stress wave energy attenuation in rock mass. Split Hopkinson Pressure rod (SHPB) experimental device is widely used to test dynamic mechanical properties of rock mass, and it is the most commonly used dynamic loading device. [PERSON] [14; 15; 16; 17; 18] established a dynamic and static combined loading device by combining the SHPB experimental device and the axial compression system, where he conducted multiple impact tests on concrete of different curing ages, analyzed the damage changes in concrete under multiple impact, and simulated typical static-dynamic combined loading problems such as instability of pillar under disturbance. SHPB tests were carried out on granite samples with circular and square holes under different axial static load and the same dynamic impact load, respectively, revealing the evolution law of pore structure and damage degradation of granite rock under dynamic and static load. [PERSON] [19; 20; 21] analyzed the specimen size in an SHPB experiment and gave reasonable size suggestions. Using the modified three-dimensional Hopkinson combined loading test device, he carried out a preliminary study on the mechanical properties of sandstone. He discussed the evolution law of compressive strength of sandstone when confirming that pressure and axial pressure change each other. Based on the analysis of the influence of confining pressure on the impact deformation and strength of sandstone, the energy dissipation law and failure mode of sandstone in the impact process are explored. The results show that with the increase in confining pressure and strain rate, the compressive strength of sandstone tends to strengthen, and the critical incident energy for sandstone failure augments with the increase in confining pressure. There is a linear increasing relationship between the absorption energy per unit volume and strain rate, and the degree grows with the increase in confining pressure. [PERSON] [22; 23] reformed the SHPB experimental device and used a square rod to load the specimen in three directions, realizing the dynamic impact test of rock mass under three-dimensional stress. [PERSON] [24] elaborated various attenuation mechanisms, measurement methods of quality factor \(Q\) and main influencing factors from the aspect of rock physics. [PERSON] [25] researched that the nonlocal model based on damage can solve all the limitations of the original nonlocal model. [PERSON] [26] used the Holmquist-Johnson-Cook constitutive model to characterize the dynamic behavior of ultrahigh-performance concrete, which is a new generation of concrete with higher strength compared with traditional concrete. The reflected and transmitted waves obtained from experiments are used as the input in the inversion process.