## 6 Conclusions  
This study establishes a model of the roof structure during various mining stages within the GSWF, analyzes various load sources of the GSR, proposes a method for calculating stress within the GSR surrounding rock, and further discusses how the roof configuration form influences the stability of the GSR. Numerical simulations analyze dynamic changes in the mining-induced stress and energy fields within the working face, coal pillar, and GSR surrounding rock during the mining process of the GSWF. Key findings from this study include the following:  
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2. Throughout the IWS in the GSWF, the roof of the DWFs forms an asymmetrical T-shaped structure along the working face orientation. During this stage, the intensity of the strata behavior of the GSWF is relatively low and the roof load is transferred to strata at the working face on both ends. Stress concentration, accompanied by energy accumulation, occurs in local areas, posing a risk of coal bursts in the GSR. Throughout the FMS of the GSWF, the roof of the DWFs forms a symmetrical T-shaped structure along the working face orientation. The breaking of IKS II causes dynamic loads on IKS I, the working face itself, and the working face on both ends, which can easily induce coal bursts in the GSR. 3. A combined dynamic and static loading mechanical model for the GSR in front of the working face throughout both the IWS and FMS was developed. Additionally, a \"three-load\" dynamic and static load superposition principle applicable to the GSR was proposed, based on the lateral static load of the adjacent gob, the advanced static load originating from the working face, and the associated dynamic load. A calculation method for stress distribution within the GSR surrounding rock during various mining stages in the GSWF was obtained, and load characteristics within the GSR surrounding rock throughout the mining process of the GSWF were quantitatively characterized. The index of burst failure of GSR surrounding rock was proposed, and the criterion for judging the burst failure of roadways was established. 3. Numerical calculation reveals that the vertical stress within the coal pillar in front of the GSWF increases compared to the first mining stage, causing a high stress concentration on the coal pillar side in the specified GSR in front of the working face. The elevated stress levels contribute to energy accumulation in the roof at the gob-side end of the GSWF, potentially leading to dynamic pressure in the roadway and, in extreme cases, coal bursts. As the distance to the working face increases, both the vertical stress within the coal pillar and the roof first rise, then decline. Furthermore, the vertical stress within the coal pillar initially rises and subsequently declines as coal pillar widths increase. Reducing the coal pillar width appropriately can improve its stress state. 4. Considering the vertical stress within the coal pillar, the vertical stress and energy density within the roof at the gob-side end of the working face, and resource loss due to the presence of the coal pillar, the ideal coal pillar width should range between 5 and 10 m. Meanwhile, the roof support at the gob-side end of the working face should be strengthened to enhance the overall stability of the GSR surrounding rock, thereby reducing the potential for coal bursts in the GSR. [PERSON] drafted the manuscript. [PERSON] and [PERSON] provided the technical guidance. [PERSON], [PERSON], and [PERSON] provided writing guidance. All authors have read and agreed to the published version of the manuscript. The research is financially supported by the National Key Research and Development Program of China (No. 2022 YFC3004604) and the National Natural Science Foundation of China (No. 52174118). Not Applicable. The data presented in this study are available on request from the corresponding author. The data are not publicly available due to privacy. The first author would like to thank the [PERSON] at China University of Mining and Technology (Beijing), China.