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An Adaptive Response Surface Methodology for Determining Coal Pillar Width in Geologically Variable Longwall Panels.

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Title: An Adaptive Response Surface Methodology for Determining Coal Pillar Width in Geologically Variable Longwall Panels.
Authors: Yang, Sen1,2 (AUTHOR), He, Zhe1,2 (AUTHOR), Xu, Yang1,2 (AUTHOR) 24203226049@stu.xust.edu.cn, Yu, Xin3 (AUTHOR), Yuan, Yuxin1,2 (AUTHOR), Chen, Zhiwen4 (AUTHOR), Lu, Hui (AUTHOR) cumtbluhui@hotmail.com
Source: Geofluids. 5/9/2026, Vol. 2026, p1-15. 15p.
Subject Terms: *Longwall mining, *Stress concentration, *Response surfaces (Statistics), *Deformations (Mechanics), *Computer simulation
Abstract: Simulation‐based approaches are increasingly vital for addressing complex design challenges in underground coal mining, a domain where longwall pillar design is critically challenged by geological variability, and conventional methods lack adaptive capacity. This study develops a responsive design framework integrating response surface methodology (RSM) and numerical simulation to determine optimal pillar width under variable burial depth, dip angle, and mining height. Based on a Box–Behnken experimental design and FLAC 3D simulations, quadratic models were established for roadway deformation and pillar stress concentration, showing excellent fit (R2 > 0.94). Pillar width is the most influential factor for both responses. Significant interaction effects were identified: widening pillars reduces depth‐induced deformation but may cause stress concentration in deep zones; a threshold width of approximately 7–8 m exists, beyond which increasing mining height promotes stress dissipation; and simultaneous increases in mining height and burial depth synergistically amplify roof displacement. Field validation under challenging geological transitions (seam thickness: 7–15 m; dip: 18°–0°) confirmed the model's reliability. Adjusting pillar width from 6 to 8 m reduced average roof deformation by approximately 50% while keeping stress concentration within safe limits. The proposed RSM‐based approach provides a computationally efficient and practically adaptable alternative to conventional pillar design in geologically variable panels. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 193626459
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: An Adaptive Response Surface Methodology for Determining Coal Pillar Width in Geologically Variable Longwall Panels.
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  Data: <searchLink fieldCode="AR" term="%22Yang%2C+Sen%22">Yang, Sen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22He%2C+Zhe%22">He, Zhe</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xu%2C+Yang%22">Xu, Yang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> 24203226049@stu.xust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Yu%2C+Xin%22">Yu, Xin</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yuan%2C+Yuxin%22">Yuan, Yuxin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Zhiwen%22">Chen, Zhiwen</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Hui%22">Lu, Hui</searchLink> (AUTHOR)<i> cumtbluhui@hotmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Geofluids%22">Geofluids</searchLink>. 5/9/2026, Vol. 2026, p1-15. 15p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Longwall+mining%22">Longwall mining</searchLink><br />*<searchLink fieldCode="DE" term="%22Stress+concentration%22">Stress concentration</searchLink><br />*<searchLink fieldCode="DE" term="%22Response+surfaces+%28Statistics%29%22">Response surfaces (Statistics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Simulation‐based approaches are increasingly vital for addressing complex design challenges in underground coal mining, a domain where longwall pillar design is critically challenged by geological variability, and conventional methods lack adaptive capacity. This study develops a responsive design framework integrating response surface methodology (RSM) and numerical simulation to determine optimal pillar width under variable burial depth, dip angle, and mining height. Based on a Box–Behnken experimental design and FLAC 3D simulations, quadratic models were established for roadway deformation and pillar stress concentration, showing excellent fit (R2 > 0.94). Pillar width is the most influential factor for both responses. Significant interaction effects were identified: widening pillars reduces depth‐induced deformation but may cause stress concentration in deep zones; a threshold width of approximately 7–8 m exists, beyond which increasing mining height promotes stress dissipation; and simultaneous increases in mining height and burial depth synergistically amplify roof displacement. Field validation under challenging geological transitions (seam thickness: 7–15 m; dip: 18°–0°) confirmed the model's reliability. Adjusting pillar width from 6 to 8 m reduced average roof deformation by approximately 50% while keeping stress concentration within safe limits. The proposed RSM‐based approach provides a computationally efficient and practically adaptable alternative to conventional pillar design in geologically variable panels. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1155/gfl/5775504
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 1
    Subjects:
      – SubjectFull: Longwall mining
        Type: general
      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Response surfaces (Statistics)
        Type: general
      – SubjectFull: Deformations (Mechanics)
        Type: general
      – SubjectFull: Computer simulation
        Type: general
    Titles:
      – TitleFull: An Adaptive Response Surface Methodology for Determining Coal Pillar Width in Geologically Variable Longwall Panels.
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            NameFull: Yang, Sen
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            NameFull: He, Zhe
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            NameFull: Xu, Yang
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          Name:
            NameFull: Yu, Xin
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            NameFull: Yuan, Yuxin
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            NameFull: Chen, Zhiwen
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            NameFull: Lu, Hui
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          Dates:
            – D: 09
              M: 05
              Text: 5/9/2026
              Type: published
              Y: 2026
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              Value: 14688115
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              Value: 2026
          Titles:
            – TitleFull: Geofluids
              Type: main
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