## 11 Conclusions  
This article theoretically analyzes the stress evolution law of triangular coal pillars, considering the influence of the fault barrier effect, overlying strata abutment stress, and fault tectonic stress. Numerical simulations were conducted to investigate the energy accumulation pattern within triangular coal pillars as the working face mining through the fault. Stress indicators were devised to categorize the rock burst risk regions and levels associated with triangular coal pillars, and tailored stress relief measures were proposed for various energy accumulation areas. In contrast to conventional working faces outside fault protection coal pillars, the stress evolution and energy accumulation processes within triangular coal pillars in working faces mining through faults are more intricate. Thus, the stress and energy classification presented in this study offers a universal approach for identifying rock burst risks under complex stress conditions in triangular coal pillars. These research findings can provide valuable guidance for the prevention and control of rock bursts in similar mining cases involving penetrating fault triangular coal pillars. The main conclusions from this research are as follows:  
1. The superimposed tectonic stress resulting from the T6 and T5 penetrating faults exhibited asymmetric distribution and had an influence range of about 90 m in the triangular coal pillar, reaching peak value of 11.21 MPa at a distance of 13 m from the fault plane. 2. Affected by the barrier effect of penetrating faults, the abutment stress of the working face was concentrated in the triangular coal pillar, and the magnitude of the abutment stress was positively and negatively correlated with the fault plane barrier effect and the width of the triangular coal pillar, respectively. 3. The barrier effect of the fault caused the stress and energy in the triangular coal pillar to increase as the width of the triangular coal pillar decreased. When the working face was 150 m away from the fault, energy and stress began to accumulate, and when the working face was 50 m away from the fault, energy and stress approached their peak. Figure 15: Microseismic distribution from 501 working face after measures of stress relief. **(a)** plane distribution of microseisms. **(b)** strike distribution of microseisms. * The constructed stress index indicates that triangular coal pillars possess moderate rock burst risks when their widths range from 73 to 200 m, and high rock burst risks when their widths are between 0 and 73 m. The analysis of the energy accumulation pattern within the triangular coal pillar reveals that the range of 50 to 150 m in width represents the most critical zone for implementing stress relief measures. Meanwhile, for the range of 0 to 50 m, specific measures should be undertaken to further enhance the effectiveness of stress relief. * Roof blasting is employed to reduce abutment stress, and coal seam blasting is employed to reduce tectonic stress. After implementing the stress relief measures, the microseismic activity transformed from fault activation to roof caving, concentrated within range of 150 m behind the working face. The maximum total energy of microseismic was 8.0 \(\times\) 10\({}^{4}\) J, a decrease of 70.0%, verifying the effectiveness of the stress relief measures. [PERSON] provided the complete research ideas and methods, provided the data used in this research, determined the title of this paper, and completed the compilation of the summary and conclusion. [PERSON] constructed a complete theoretical analysis and numerical simulation, and used the data for the verification of rock burst risk in the triangle coal pillar. [PERSON] determined the indicators used in the assessment of rock burst risk in the triangle coal pillar, and studied and confirmed the scientific and feasibility of the indicators.