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Slope Stability Evaluation of In-Situ Leaching Stope for Ionic Rare Earth Mines Based on Game Theory-Cloud Model
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Jianlong Liao, Hongjun Sun, Yi Wan
Mining Research and Development | 2026, 46(5) : 91 - 100
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Mining Research and Development | 2026, 46(5): 91-100
Slope Stability Evaluation of In-Situ Leaching Stope for Ionic Rare Earth Mines Based on Game Theory-Cloud Model
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Jianlong Liao, Hongjun Sun, Yi Wan
Affiliations
  • School of Civil and Architectural Engineering, Liaoning University of Technology, Jinzhou, Liaoning 121001, China
Published: 2026-05-25
Outline
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Aiming at the problem that the slope is easy to lose stability in the mining of ionic rare earth mines, and the traditional stability criterion method is difficult to quantify the uncertainty of dynamic multi-field coupling, a slope stability evaluation model based on game theory and cloud model was constructed. According to the four principles of uniqueness, purpose, feasibility and observability, a multi-dimensional evaluation index system covering geomechanical parameters, leaching process, slope geological conditions, hydrometeorological characteristics and regional geological characteristics was constructed. The game theory was used to optimize the subjective weight determined by the fuzzy analytic hierarchy process (FAHP) and the objective weight determined by the entropy weight method, so as to realize the collaborative weighting of subjective and objective weights. The cloud model was introduced to quantify the membership degree of slope stability, and the expectation, entropy and super entropy were used to characterize the random fuzziness of parameter values. An ionic rare earth mining area in southern Jiangxi was taken as an example for industrial application. The results show that the comprehensive stability scores of 1#, 2# and 3# slopes in the mining area are 74.8 (sub-unstable), 58.9 (relatively stable) and 99.3 (unstable), respectively, which are consistent with the actual observation results and the calculation results of the improved AHP method. Compared with the traditional limit equilibrium method, the potential risks can be found in advance. It is verified that the game theory-cloud model can provide reliable discriminant results and has high-risk sensitivity. The research results provide a theoretical basis for the dynamic control of slope stability of ionic rare earth mines.

Ionic rare earth mine  /  Game theory-cloud model  /  Multi-field coupling  /  Index weight  /  Slope stability
廖健龙, 孙洪军, 万奕. 基于博弈论云模型的离子型稀土矿原地浸出采场边坡稳定性评价. 矿业研究与开发, 2026 , 46 (5) : 91 -100 .
Jianlong Liao, Hongjun Sun, Yi Wan. Slope Stability Evaluation of In-Situ Leaching Stope for Ionic Rare Earth Mines Based on Game Theory-Cloud Model[J]. Mining Research and Development, 2026 , 46 (5) : 91 -100 .
Year 2026 volume 46 Issue 5
31
10
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  • Receive Date:2025-05-18
  • Online Date:2026-10-27
  • Published:2026-05-25
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  • Received:2025-05-18
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    School of Civil and Architectural Engineering, Liaoning University of Technology, Jinzhou, Liaoning 121001, 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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