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Semi-analytical study on mechanical model of vertical shaft surrounding rock reinforcement considering the lagging support of anchor bolts
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Ji-wei ZHANG1, Jia-xin ZHANG1, Wen-zhuo MA1, 2, 3, Hong-xue JIA2, Wei-dong WU4, Chuan-bao WANG5
Rock and Soil Mechanics | 2025, 46(11) : 3395 - 3409
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Rock and Soil Mechanics | 2025, 46(11): 3395-3409
Fundamental Theory and Experimental Research
Semi-analytical study on mechanical model of vertical shaft surrounding rock reinforcement considering the lagging support of anchor bolts
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Ji-wei ZHANG1, Jia-xin ZHANG1, Wen-zhuo MA1, 2, 3, Hong-xue JIA2, Wei-dong WU4, Chuan-bao WANG5
Affiliations
  • 1.School of Resources and Safety Engineering, University of Science and Technology Beijing, 100013, China
  • 2.China Construction Eighth Engineering Division Co., Ltd., Shanghai, 200120, China
  • 3.China Construction Eighth Engineering Division Tianjin Construction Engineering Co., Ltd., Tianjin, 300450, China
  • 4.Xinjiang Production and Construction Corps Survey and Design Institute Group Co., Ltd., Urumqi, Xinjiang 830000, China
  • 5.Xinjiang Corps Survey and Design Institute Group Co., Ltd, Urumqi, Xinjiang 830000, China
Published: 2025-11-14 doi: 10.16285/j.rsm.2024.1508
Outline
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The energy development projects in western China require the construction of a large number of vertical shafts in weakly cemented gravel layers with poor stability. Anchor rod support is an important means of controlling the deformation of surrounding rock. However, most of the current theories on anchor reinforcement have overlooked the lagging support of anchor rods. Therefore, based on the spatial constraint effect of the working face, elastic-plastic theory, and the anchor rod stress uniform distribution method, this study proposes a semi-analytical calculation method for the deformation and stress of the surrounding rock of vertical shaft anchor bolts considering the lag support of anchor bolts. The correctness of this method was verified by finite element method. Based on the proposed semi analytical solution, the influence of anchor parameters was further explored. The research results show that the larger the lag distance of the anchor rod, the greater the deformation of the surrounding rock, and the smaller the surrounding rock pressure borne by the anchor rod and other supporting structures. When the lag distance xgs of the anchor rod is less than 1.5rA (rA represents the excavation radius of the vertical shaft), the deformation ur(r=rA) and safety factor s of the surrounding rock change greatly. When the lag distance xgs of the anchor rod is greater than 3.0rA, the deformation ur(r=rA) and safety factor s of the surrounding rock remain basically unchanged. Increasing the diameter of the anchor rod improves the shear strength, but the impact gradually decreases. When the length of the anchor rod L is less than 1.0rA, the deformation of the surrounding rock ur(r=rA) and the safety factor s change greatly. When the length of the anchor rod L is greater than 1.0rA, the change is slow, so it is not recommended to excessively use long anchor rods. Research suggests that when selecting support parameters, consideration should be given to the support lag distance to ensure the stability of the surrounding rock. This study successfully applied this theory to the vertical shaft engineering of pressure pipelines, and the research results provide a solid theoretical basis for the design of anchor rod support for the surrounding rock of the vertical shaft.

vertical shaft support  /  anchor rod lag support  /  lag support distance  /  stress distribution method
Ji-wei ZHANG, Jia-xin ZHANG, Wen-zhuo MA, Hong-xue JIA, Wei-dong WU, Chuan-bao WANG. Semi-analytical study on mechanical model of vertical shaft surrounding rock reinforcement considering the lagging support of anchor bolts[J]. Rock and Soil Mechanics, 2025 , 46 (11) : 3395 -3409 . DOI: 10.16285/j.rsm.2024.1508
  • Financial Science and Technology Program Funding for the Corps(2023 AB016-02)
  • Key Research and Development Program of Shaanxi Province(2024GX-YBXM-479)
Year 2025 volume 46 Issue 11
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Article Info
doi: 10.16285/j.rsm.2024.1508
  • Receive Date:2024-12-07
  • Online Date:2026-03-27
  • Published:2025-11-14
Article Data
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History
  • Received:2024-12-07
  • Accepted:2025-03-28
Funding
Financial Science and Technology Program Funding for the Corps(2023 AB016-02)
Key Research and Development Program of Shaanxi Province(2024GX-YBXM-479)
Affiliations
    1.School of Resources and Safety Engineering, University of Science and Technology Beijing, 100013, China
    2.China Construction Eighth Engineering Division Co., Ltd., Shanghai, 200120, China
    3.China Construction Eighth Engineering Division Tianjin Construction Engineering Co., Ltd., Tianjin, 300450, China
    4.Xinjiang Production and Construction Corps Survey and Design Institute Group Co., Ltd., Urumqi, Xinjiang 830000, China
    5.Xinjiang Corps Survey and Design Institute Group Co., Ltd, Urumqi, Xinjiang 830000, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

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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