1. Du XL, Song HW, Chen J (2011) Numerical simulation of the evolution of the pressure arch during coal mining. J China Univ Min Technol 6:863–867
2. Gao MS, Dou LM, Zhang N, Zheng BS, Kan JG (2005) Cusp catastrophic model for instability of coal pillar burst damage and analysis of its application. J China Univ Min Technol 4:433–437
3. Liu BC, Shen HQ (1988) The mathematical model and solution for optimization of coal pillar for preventing building. J China Coal Soc 3:18–25
4. Liu CY, Huang BX, Meng XJ (2007) Research on abutment pressure distribution law of over length isolated fully-mechanized top coal caving face. Chin J Rock Mech Eng 1:2671–2676
5. Miao XX (1990) Natural balance arch and the surrounding rock stability. Ground Press Strat Control 2:55–57