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    • 論文
    主辦單位:煤炭科學研究總院有限公司、中國煤炭學會學術期刊工作委員會
    煤礦沖擊地壓發生理論公式
    • Title

      Theoretical formula of rock burst in coal mines

    • 作者

      潘一山代連朋

    • 單位

      東北大學 深部金屬礦山安全開采教育部重點實驗室遼寧大學 環境學院遼寧工程技術大學

    • Organization
      Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines,Northeastern University; School of Environment,Liaoning University; Liaoning Technical University
    • 摘要

      沖擊地壓是煤礦最嚴重的動力災害之一,是公認的世界級難題??坍嫑_擊地壓發生機理的理論公式是實現沖擊地壓定量防治的第一前提。針對目前尚未有直接明了的沖擊地壓發生理論公式的現狀,本文建立了與地應力、煤巖物性、支護強度和工程結構參數直接相聯系的巷道沖擊地壓發生力學分析模型,得到了一套沖擊地壓發生的理論公式。首先,系統探究了沖擊地壓解析分析所涉及的幾何模型、邊界條件、煤巖體變形破壞本構關系和沖擊地壓發生的力學判據;其次,結合煤巖體變形破壞的“雙線性”本構關系和“三線性”本構關系,分別建立了巷道“彈性區、塑性軟化區”兩分區結構模型與“彈性區、塑性軟化區、破碎區”三分區結構模型,對巷道圍巖展開應力分析,得到了巷道平衡系統方程;最后,由系統方程與沖擊地壓發生力學判據,得到了沖擊地壓發生的臨界載荷、臨界破碎區半徑與臨界軟化區半徑指標及其理論計算公式。采用理論公式定量解答了沖擊傾向性與沖擊危險性的理論關系、礦井沖擊地壓發生臨界開采深度的理論界定和支護在沖擊地壓啟動過程中的作用及支護安全系數設計方法等科學問題,并對我國近30座沖擊地壓礦井的沖擊啟動臨界載荷、臨界開采深度和支護防沖安全能力進行了計算或驗算。研究結果表明,臨界載荷、沖擊能指數和單軸抗壓強度三個指標參量間具有明確的理論關系;表征沖擊傾向性的理論指標為沖擊能指數和單軸抗壓強度,表征沖擊危險性的理論指標可為實際應力與臨界載荷比值;基于沖擊地壓發生的臨界載荷,可以得到礦井沖擊地壓發生臨界開采深度的理論確定方法;支護強度的提高能夠有效提升沖擊地壓發生的臨界載荷。研究成果旨在繼承并突破現有定性或統計定量的沖擊地壓理論,為實現煤礦沖擊地壓機理及應用的定量化研究奠定基礎。


    • Abstract

      Rock burst is one of the most serious dynamic disasters in coal mines,which is recognized as a worldclass problem.The theoretical formula describing the occurrence mechanism of rock burst is the first premise to realize the prevention and control of rock burst quantitatively.In view of the fact that there is no explicit theoretical formula of rock burst,this paper has established a mechanical analysis model of roadway rock burst which was directly related to ground stress,physical parameters of coal and rock mass,support strength and engineering structural parameters,and obtained a set of theoretical formulas for rock burst.Firstly,the geometric model,boundary conditions,constitutive relation of deformation and failure of coal and rock mass and the mechanical criterion of rock burst were systematically studied.Secondly,combined with the “bilinear” and “trilinear” constitutive relations of deformation and failure of coal and rock mass,the structural model with two zone “elastic zone and plastic softening zone” and the model with three zone “elastic zone,plastic softening zone and fracture zone” were established,respectively.The stress analysis of surrounding rock of roadway was carried out,and the equilibrium system equation of roadway was obtained.Finally,according to the system equation and mechanical criterion of rock burst,the critical load,critical radius of fracture zone,critical radius of softening zone and their theoretical calculation formulas were obtained.The theoretical formulas was used to quantitatively explain some important scientific problems about rock burst,mainly including the relationship between the bursting ability of coal mass and the risk of rock burst,the theoretical determination of the critical mining depth of rock burst,the role of support in the initiation of rock burst and the safety factor design method of roadway support.The critical load,critical mining depth and rock burst prevention ability of roadway support of nearly 30 rock burst mines in China were calculated and analyzed to verify the correction of the theoretical formulas.The research results show that there is a clear theoretical relationship between these three index parameters critical load,burst energy index and uniaxial compressive strength.The theoretical indicators of bursting ability of coal mass are bursting energy index and uniaxial compressive strength,and the theoretical indicator of risk of rock burst is the ratio of actual stress and critical load.Based on the theoretical formula of critical load of rock burst,the theoretical determination method of critical mining depth of rock burst in coal mines can be obtained,and the critical load of rock burst can be effectively enhanced with the improvement of support strength.The research results aim to inherit and break through the existing qualitative or statistical quantitative theory of rock burst,and lay a foundation for quantitative research on the mechanism and application of rock burst in coal mines.

    • 關鍵詞

      沖擊地壓力學模型理論公式臨界指標沖擊傾向性沖擊危險性

    • KeyWords

      rock burst;theoretical formula;critical index;bursting ability of coal mass;risk of rock burst;critical mining depth;rock burst prevention

    • 引用格式
      潘一山,代連朋.煤礦沖擊地壓發生理論公式[J].煤炭學報,2021,46(3):789-799.
      PAN Yishan,DAI Lianpeng.Theoretical formula of rock burst in coal mines[J].Journal of China Coal Society,2021,46(3):789-799.
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