Strength criterion effect of the translator and destabilization model of gas-bearing coal seam
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摘要
Coal seam destabilization inflicts damage to equipment, causes property loss and personnel casualties,and severely threatens mining safety and efficient production. To further understand this destabilization based on the basic theory of Lippmann seam destabilization, a mathematical model was introduced for gas pressure distribution by considering intermediate principal stress and support resistance.Subsequently, we established a translation model suitable for the entire roadway coal seam with rocky roof and floor by applying the unified form of yield criterion in the state of plane strain. We also obtained the analytic expressions of coal seam stress distribution on both sides of the roadway and the widths of plastic and disturbance zones. Afterward, we analyzed several typical cases with different material yield criteria, obtained the plastic zone widths of the coal seam under different gas pressures, and assessed the effects of support resistance, roadway size, and coal strength on coal seam destabilization. Results showed that: the results obtained on the basis of Wilson and Mohr–Coulomb criteria are considerably conservative, and the use of Druker–Prager criteria to evaluate the rockburst-induced coal seam destabilization is safer than the use of the two other criteria; coal seam stability is correlated with gas pressure;and high-pressure gas accelerates the coal seam destabilization.
Coal seam destabilization inflicts damage to equipment, causes property loss and personnel casualties,and severely threatens mining safety and efficient production. To further understand this destabilization based on the basic theory of Lippmann seam destabilization, a mathematical model was introduced for gas pressure distribution by considering intermediate principal stress and support resistance.Subsequently, we established a translation model suitable for the entire roadway coal seam with rocky roof and floor by applying the unified form of yield criterion in the state of plane strain. We also obtained the analytic expressions of coal seam stress distribution on both sides of the roadway and the widths of plastic and disturbance zones. Afterward, we analyzed several typical cases with different material yield criteria, obtained the plastic zone widths of the coal seam under different gas pressures, and assessed the effects of support resistance, roadway size, and coal strength on coal seam destabilization. Results showed that: the results obtained on the basis of Wilson and Mohr–Coulomb criteria are considerably conservative, and the use of Druker–Prager criteria to evaluate the rockburst-induced coal seam destabilization is safer than the use of the two other criteria; coal seam stability is correlated with gas pressure;and high-pressure gas accelerates the coal seam destabilization.
Coal seam destabilization inflicts damage to equipment, causes property loss and personnel casualties,and severely threatens mining safety and efficient production. To further understand this destabilization based on the basic theory of Lippmann seam destabilization, a mathematical model was introduced for gas pressure distribution by considering intermediate principal stress and support resistance.Subsequently, we established a translation model suitable for the entire roadway coal seam with rocky roof and floor by applying the unified form of yield criterion in the state of plane strain. We also obtained the analytic expressions of coal seam stress distribution on both sides of the roadway and the widths of plastic and disturbance zones. Afterward, we analyzed several typical cases with different material yield criteria, obtained the plastic zone widths of the coal seam under different gas pressures, and assessed the effects of support resistance, roadway size, and coal strength on coal seam destabilization. Results showed that: the results obtained on the basis of Wilson and Mohr–Coulomb criteria are considerably conservative, and the use of Druker–Prager criteria to evaluate the rockburst-induced coal seam destabilization is safer than the use of the two other criteria; coal seam stability is correlated with gas pressure;and high-pressure gas accelerates the coal seam destabilization.
引文
[1]Hill FG,Cook NGW,Hoek E,Ortlepp WD,Salamon MDG.Rock mechanics applied to study of rockbursts.J S Afr Inst Min Met 1966;66:436-528.
[2]Li T,Cai MF,Wang JA,Li DC,Liu J.Discussion on relativity between rockburst and gas in deep exploitation.J Chin Coal Soc 2005;30(5):20-5.
[3]Wang G,Wu MM,Wang HY,Huang QM,Zhong Y.Sensitivity analysis of affecting factors of coal and gas outburst based on energy equilibrium model.Chin J Rock Mech Eng 2015;34(2):238-48.
[4]Zhang MT,Xu ZH,Pan YS,Zhao YS.A united instability theory on coal(rock)burst and outburst.J Chin Coal Soc 1991;16(4):48-53.
[5]Wang G,Cheng WM,Xie J,Zhou G.Analysis of the gas content in the coal and gas outburst.J Chin Coal Soc 2011;36(3):429-34.
[6]Wang G,Cheng WM,Zhang QT,Sun LL,Li CQ.Design of simulation experiment and its application system of outburst in uncovering coal seam in cross-cut.Rock Soil Mech 2013;34(4):1202-10.
[7]Geng JB,Xu J,Nie W,Peng SJ,Zhang CL,Luo XH.Regression analysis of major parameters affecting the intensity of coal and gas outbursts in laboratory.Int JMin Sci Technol 2017;27(2):327-32.
[8]Fan CJ,Li S,Luo MK,Du WZ,Yang ZH.Coal and gas outburst dynamic system.Int J Min Sci Technol 2017;27(1):49-55.
[9]Lippmann H,Zhang J,Kou SQ.The theory of bumps in coal mines-an introduction to the study of mining mechanics at the T.U.Munich,F.R.Germany(Invited).Adv Mech 1990;20(4):452-67.
[10]Burgert W,Lippmann H.Models of translatory rock bursting in coal.Int J Rock Mech Min Sci Geomech Abstr 1981;18(4):285-94.
[11]Lippmann H.Mechanics of‘‘bumps”in coal mines:a discussion of violent deformations in the sides of roadways in coal seams.Appl Mech Rev 1987;40(8):1033-43.
[12]Jiang YD,Zhao YX,Liu WG,Zhu J.Investigation on three-dimensional model of instability of translator coal bumps in deep mining.Chin J Rock Mech Eng2005;24(16):2864-9.
[13]Zhu J,Jiang YD,Zhao YX,Sun L,Qin W,Li YT.The improved Lippmann’s translator model of coal bumps.J Chin Coal Soc 2007;32(4):353-7.
[14]Jiang YD,Zhao YX,Liu WG,Zhu J.Investigation on the mechanism of coal bumps and relating experiences.Beijing:Science Press;2009.
[15]Zhu J,Wang HW.The translatory bumps model of coal containing gas.J Chin Coal Soc 2010;35(12):2068-72.
[16]Zhou XP,Qian QH,Yang HQ.Strength criteria of deep rock mass.Chin J Rock Mech Eng 2008;27(1):117-23.
[17]Jiang FX,Liu JH,Wang P.Model of coal burst and instability based on DrukerPrager yield criterion.J Chin Coal Soc 2011;36(5):727-31.
[18]Li ZK,Gao MZ,Ji WT,Zhu Z.The determination of plastic zone width in the coal wall based on Drucker-Prager yield criterion.Saf Coal Mines 2013;44(5):189-92.
[19]Wang XC,Huang FC,Zhang HX,Zhang LG.Discussion on the design formula of Wilson’s coal pillar and its improvement.J Chin Coal Soc 2002;27(06):604-8.
[20]Guo LQ,Cai QP,Peng XQ.Effect of strength criterion on design of strip coal pillar.Rock Soil Mech 2014;35(03):1777-82.
[21]Terzaghi KV.Study on the principle of effective stress and its principle in unsaturated soil infiltration process.Sitzungber Wiss Vienna Graduate Sci1923;132:125-38[in German].
[22]Schmitt DR,Zoback MD.Poroelastic effects in the determination of the maximum horizontal principal stress in hydraulic fracturing tests-a proposed breakdown equation employing a modified effective stress relation for tensile failure.Int J Rock Mech Min Sci Geomech Abstr 1989;26(6):499-506.
[23]Ma PL,Chen DK.Technical manual of prevention of coal and gas outburst hazard.Beijing:Chemical Industry Press;2007.
[24]Gao JL,Hou SZ.Dynamic distribution of gas pressure and emission around a diving roadway.J Chin Coal Soc 2007;32(11):1127-31.
[25]Kang HP.Stress distribution characteristics and strata control technology for roadways in deep coal mines.Coal Sci Technol 2013;47(09):12-7.
[2]Li T,Cai MF,Wang JA,Li DC,Liu J.Discussion on relativity between rockburst and gas in deep exploitation.J Chin Coal Soc 2005;30(5):20-5.
[3]Wang G,Wu MM,Wang HY,Huang QM,Zhong Y.Sensitivity analysis of affecting factors of coal and gas outburst based on energy equilibrium model.Chin J Rock Mech Eng 2015;34(2):238-48.
[4]Zhang MT,Xu ZH,Pan YS,Zhao YS.A united instability theory on coal(rock)burst and outburst.J Chin Coal Soc 1991;16(4):48-53.
[5]Wang G,Cheng WM,Xie J,Zhou G.Analysis of the gas content in the coal and gas outburst.J Chin Coal Soc 2011;36(3):429-34.
[6]Wang G,Cheng WM,Zhang QT,Sun LL,Li CQ.Design of simulation experiment and its application system of outburst in uncovering coal seam in cross-cut.Rock Soil Mech 2013;34(4):1202-10.
[7]Geng JB,Xu J,Nie W,Peng SJ,Zhang CL,Luo XH.Regression analysis of major parameters affecting the intensity of coal and gas outbursts in laboratory.Int JMin Sci Technol 2017;27(2):327-32.
[8]Fan CJ,Li S,Luo MK,Du WZ,Yang ZH.Coal and gas outburst dynamic system.Int J Min Sci Technol 2017;27(1):49-55.
[9]Lippmann H,Zhang J,Kou SQ.The theory of bumps in coal mines-an introduction to the study of mining mechanics at the T.U.Munich,F.R.Germany(Invited).Adv Mech 1990;20(4):452-67.
[10]Burgert W,Lippmann H.Models of translatory rock bursting in coal.Int J Rock Mech Min Sci Geomech Abstr 1981;18(4):285-94.
[11]Lippmann H.Mechanics of‘‘bumps”in coal mines:a discussion of violent deformations in the sides of roadways in coal seams.Appl Mech Rev 1987;40(8):1033-43.
[12]Jiang YD,Zhao YX,Liu WG,Zhu J.Investigation on three-dimensional model of instability of translator coal bumps in deep mining.Chin J Rock Mech Eng2005;24(16):2864-9.
[13]Zhu J,Jiang YD,Zhao YX,Sun L,Qin W,Li YT.The improved Lippmann’s translator model of coal bumps.J Chin Coal Soc 2007;32(4):353-7.
[14]Jiang YD,Zhao YX,Liu WG,Zhu J.Investigation on the mechanism of coal bumps and relating experiences.Beijing:Science Press;2009.
[15]Zhu J,Wang HW.The translatory bumps model of coal containing gas.J Chin Coal Soc 2010;35(12):2068-72.
[16]Zhou XP,Qian QH,Yang HQ.Strength criteria of deep rock mass.Chin J Rock Mech Eng 2008;27(1):117-23.
[17]Jiang FX,Liu JH,Wang P.Model of coal burst and instability based on DrukerPrager yield criterion.J Chin Coal Soc 2011;36(5):727-31.
[18]Li ZK,Gao MZ,Ji WT,Zhu Z.The determination of plastic zone width in the coal wall based on Drucker-Prager yield criterion.Saf Coal Mines 2013;44(5):189-92.
[19]Wang XC,Huang FC,Zhang HX,Zhang LG.Discussion on the design formula of Wilson’s coal pillar and its improvement.J Chin Coal Soc 2002;27(06):604-8.
[20]Guo LQ,Cai QP,Peng XQ.Effect of strength criterion on design of strip coal pillar.Rock Soil Mech 2014;35(03):1777-82.
[21]Terzaghi KV.Study on the principle of effective stress and its principle in unsaturated soil infiltration process.Sitzungber Wiss Vienna Graduate Sci1923;132:125-38[in German].
[22]Schmitt DR,Zoback MD.Poroelastic effects in the determination of the maximum horizontal principal stress in hydraulic fracturing tests-a proposed breakdown equation employing a modified effective stress relation for tensile failure.Int J Rock Mech Min Sci Geomech Abstr 1989;26(6):499-506.
[23]Ma PL,Chen DK.Technical manual of prevention of coal and gas outburst hazard.Beijing:Chemical Industry Press;2007.
[24]Gao JL,Hou SZ.Dynamic distribution of gas pressure and emission around a diving roadway.J Chin Coal Soc 2007;32(11):1127-31.
[25]Kang HP.Stress distribution characteristics and strata control technology for roadways in deep coal mines.Coal Sci Technol 2013;47(09):12-7.