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Stability Analysis and Width Optimization of Pillars in Stoping of Steeply Inclined Thick and Large Ore Bodies Based on Cusp Catastrophe Theory
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Xiufu YANG1, Chen WANG2, Haocheng LU1, Yi LUO2, Cheng LI2, Wei WANG2
Mining and Metallurgical Engineering | 2026, 46(2) : 8 - 14
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Mining and Metallurgical Engineering | 2026, 46(2): 8-14
• MINING •
Stability Analysis and Width Optimization of Pillars in Stoping of Steeply Inclined Thick and Large Ore Bodies Based on Cusp Catastrophe Theory
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Xiufu YANG1, Chen WANG2, Haocheng LU1, Yi LUO2, Cheng LI2, Wei WANG2
Affiliations
  • 1.Wengfu (Group) Co., Ltd., Guiyang 550002, Guizhou, China
  • 2.College of Mining Engineering, Guizhou University, Guiyang 550025, Guizhou, China
doi: 10.3969/j.issn.0253-6099.2026.02.002
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Aiming at the reasonable safe width of pillars in cut-and-fill stoping of steeply inclined thick and large phosphorite ore bodies, a mechanical analysis model of stope pillars was established based on elastic mechanics theory. The average bearing load of pillars due to the backfill was calculated, and a stope structural layout consisting of roof pillars and stope pillars was adopted. Cusp catastrophe theory was used to analyze the critical instability conditions of pillars, and the formula for critical failure width of pillars was then deduced, with which the critical pillar width is calculated to be 3.591 m. On this basis, numerical simulation was carried out to investigate the deformation and failure characteristics of surrounding rock in a stope with width of 10 m and pillar widths of 2 m, 3 m, 4 m and 5 m respectively. The comparison results of displacement and plastic zone indicate that roof subsidence gradually decreases with the increase of pillar width. When the pillar width is 5 m, the maximum roof subsidence is 30.95 mm and the plastic zone is only distributed in local roof areas. Engineering practice has verified that with pillars 5 m in width, the maximum displacement and maximum stress of the pillars are 18.47 mm and 4.32 MPa respectively, and both the stope and backfill remain in a stable state, which meets the requirements of engineering safety and economic efficiency.

steep incline  /  thick and large ore body  /  pillar width  /  stope structure  /  stoping method  /  backfill mining method  /  stope stability  /  cusp catastrophe theory  /  mechanical model  /  width optimization
杨秀福, 王沉, 陆浩成, 罗义, 李程, 王威. 基于尖点突变理论的急倾斜厚大矿体回采矿柱稳定性分析及宽度优化. 矿冶工程杂志, 2026 , 46 (2) : 8 -14 . DOI: 10.3969/j.issn.0253-6099.2026.02.002
Xiufu YANG, Chen WANG, Haocheng LU, Yi LUO, Cheng LI, Wei WANG. Stability Analysis and Width Optimization of Pillars in Stoping of Steeply Inclined Thick and Large Ore Bodies Based on Cusp Catastrophe Theory[J]. Mining and Metallurgical Engineering, 2026 , 46 (2) : 8 -14 . DOI: 10.3969/j.issn.0253-6099.2026.02.002
Year 2026 volume 46 Issue 2
113
22
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doi: 10.3969/j.issn.0253-6099.2026.02.002
  • Receive Date:2025-11-13
  • Online Date:2026-10-08
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  • Received:2025-11-13
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    1.Wengfu (Group) Co., Ltd., Guiyang 550002, Guizhou, China
    2.College of Mining Engineering, Guizhou University, Guiyang 550025, Guizhou, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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