Analytical solutions for characteristic radii of circular roadway surrounding rock plastic zone and their application
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摘要
In the non-uniform stress field, the surrounding rock plastic zone of the circular roadway shows different shapes under the different confining pressure conditions. Based on the boundary shape characteristics of the plastic zone, the characteristic radii of the plastic zone were proposed, namely the horizontal,longitudinal and medial axis radii, which could reflect the plastic zone shapes characteristics and classify the sizes of the key parts. On the theoretical basis of elastic-plastic mechanics, analytical solutions for the characteristic radii were obtained by theoretical deduction, and the relationships between the characteristic radii and key influencing factors were analyzed. Finally, the evaluation criterion of the circular roadway surrounding rock plastic zone shapes, evaluation criterion of the location of potential hazards caused by the roadway surrounding rock and evaluation critical points of roadway dynamic disasters based on characteristic radii were proposed. This work could provide a theoretical basis for stability analysis of the surrounding rock, support design, and guide the prevention and control of dynamic roadway disasters.
In the non-uniform stress field, the surrounding rock plastic zone of the circular roadway shows different shapes under the different confining pressure conditions. Based on the boundary shape characteristics of the plastic zone, the characteristic radii of the plastic zone were proposed, namely the horizontal,longitudinal and medial axis radii, which could reflect the plastic zone shapes characteristics and classify the sizes of the key parts. On the theoretical basis of elastic-plastic mechanics, analytical solutions for the characteristic radii were obtained by theoretical deduction, and the relationships between the characteristic radii and key influencing factors were analyzed. Finally, the evaluation criterion of the circular roadway surrounding rock plastic zone shapes, evaluation criterion of the location of potential hazards caused by the roadway surrounding rock and evaluation critical points of roadway dynamic disasters based on characteristic radii were proposed. This work could provide a theoretical basis for stability analysis of the surrounding rock, support design, and guide the prevention and control of dynamic roadway disasters.
In the non-uniform stress field, the surrounding rock plastic zone of the circular roadway shows different shapes under the different confining pressure conditions. Based on the boundary shape characteristics of the plastic zone, the characteristic radii of the plastic zone were proposed, namely the horizontal,longitudinal and medial axis radii, which could reflect the plastic zone shapes characteristics and classify the sizes of the key parts. On the theoretical basis of elastic-plastic mechanics, analytical solutions for the characteristic radii were obtained by theoretical deduction, and the relationships between the characteristic radii and key influencing factors were analyzed. Finally, the evaluation criterion of the circular roadway surrounding rock plastic zone shapes, evaluation criterion of the location of potential hazards caused by the roadway surrounding rock and evaluation critical points of roadway dynamic disasters based on characteristic radii were proposed. This work could provide a theoretical basis for stability analysis of the surrounding rock, support design, and guide the prevention and control of dynamic roadway disasters.
引文
[1]Lamich D,Marschalko M,Yilmaz I,BednárˇováP,Niemiec D,Kubecˇka K,Mikulenka V.Subsidence measurements in roads and implementation in land use plan optimisation in areas affected by deep coal mining.Environ Earth Sci2016;75(1):1-11.
[2]Xie HP,Xie J,Gao MZ,Zhang R,Zhou HW,Gao F,et al.Theoretical and experimental validation of mining-enhanced permeability for simultaneous exploitation of coal and gas.Environ Earth Sci 2015;73(10):5951-62.
[3]Konicek P,Soucek K,Stas L,Singh R.Long-hole destress blasting for rockburst control during deep underground coal mining.Int J Rock Mech Min2013;61:141-53.
[4]Liu T,Lin BQ,Yang W.Mechanical behavior and failure mechanism of precracked specimen under uniaxial compression.Tectonophysics 2017;712-713:330-43.
[5]Hou HH,Shao LY,Guo SQ,Li Z,Zhang ZJ,Yao ML,et al.Evaluation and genetic analysis of coal structures in deep Jiaozuo Coalfield,northern China:Investigation by Geophysical Logging Data.Fuel 2017;209:552-66.
[6]Zhuang XG,Querol X,Alastuey A,Plana F,Moreno N,Andrés JM,et al.Mineralogy and geochemistry of the coals from the Chongqing and Southeast Hubei coal mining districts,South China.Int J Coal Geol 2007;71(2):263-75.
[7]Liu T,Lin BQ,Yang W,Liu T,Zhai C.An integrated technology for gas control and green mining in deep mines based on ultra-thin seam mining.Environ Earth Sci 2017;76(6):1-17.
[8]Kang H,Zhang X,Si L,Wu Y,Gao F.In-situ stress measurements and stress distribution characteristics in underground coal mines in China.Eng Geol2010;116(3):333-45.
[9]Liu T,Lin BQ,Yang W,Zou QL,Kong J,Yan FZ.Cracking process and stress field evolution in specimen containing combined flaw under uniaxial compression.Rock Mech Rock Eng 2016;49(8):3095-113.
[10]Wu LR,Jiang ZA,Chen WM,Zuo XW,Lv DW,Yao YJ.Major accident analysis and prevention of coal mines in China from the year of 1949 to 2009.Min Sci Tech 2011;21(5):693-9.
[11]Zou H,Yan EC.The surrounding rock deformation and failure mechanism of wudang group schists roadway.Elec J Geot Eng 2015;20(11):6557-76.
[12]Lee KH,Kai DH,Park JJ,Lee IM.A study on critical strain based damagecontrolled test for the evaluation of rock roadway stability.J Kor Tunn Undergr Spa Associ 2011;13(6):501-17.
[13]Hill R.The Mathematical Theory of Plasticity.Oxford:Oxford University Press;1950.
[14]Palumbo D,Finis RD,Ancona F,Galietti U.Damage monitoring in fracture mechanics by evaluation of the heat dissipated in the cyclic plastic zone ahead of the crack tip with thermal measurements.Eng Frac Mech 2017;181:65-76.
[15]Paul SK.Numerical models of plastic zones and associated deformations for elliptical inclusions in remote elastic loading-unloading with different R-ratios.Eng Frac Mech 2016;152:72-80.
[16]Kastner H.Statik des tunel und stollenbauess.Berlin:Springer,Berlin Heidelberg;1962.
[17]Qian MG,Shi PW,Xu JL.Mining Pressure and Strata Control.Xuzhou:China University of Mining and Technology Press;2010.
[18]Ren QW,Zhang HC.The correction of Fenner formula.J Hehai Univ 2001;29(6):109-11.
[19]Wang WJ,Yuan C,Guo GY,Yu WJ.Control of malignant expansion of plastic zone in surrounding rock of rock roadway under the conditions of violent mining.J Min Saf Eng 2016;33(6):957-64.
[20]Abdel-Meguid M,Rowe RK,Lo KY.Three-dimensional analysis of unlined tunnels in rock subjected to high horizontal stress.Can Geotech J 2003;40(6):1208-24.
[21]Leitman MJ,Villaggio P.Plastic zone around circular holes.J Eng Mech2009;135(12):1467-71.
[22]Chen LW,Peng JB,Fan W,Sun P.Analysis based on unified strength theory of non-uniform stress field circular roadway for plastic zone.J China Coal Soc2007;32(1):20-3.
[23]Zhao ZQ.Study on mechanism and control method of deformation and failure of surrounding rock in large deformation mining roadway.Beijing:China University of Mining and Technology(Beijing);2014.
[24]Guo XF,Ma NJ,Zhao XD,Zhao ZQ,Li YE.The general shapes and criterion for surrounding rock mass plastic zone of round roadway.J China Coal Soc2016;41(8):1871-7.
[25]Ma NJ,Guo XF,Zhao ZQ,Zhao XD,Liu HT.Occurrence mechanisms and judging criterion on circular roadway butterfly rock burst in homogeneous medium.JChina Coal Soc 2016;41(11):2679-88.
[26]Zhao ZQ,Ma NJ,Liu HT,Guo XF.A butterfly failure theory of rock mass around roadway and its application prosprct.J Chi Uni Min Tech 2018;47(5):969-78.
[27]Ma NJ,Zhao XD,Zhao ZQ,Guo XF,Liu HT.Conjecture of butterfly shape coal and gas outburst mechanism in excavation roadway.J Min Sci Tech 2017;2(2):136-48.
[28]Zhao ZQ,Ma NJ,Guo XF,Zhao XD,Xia YX,Ma ZK.Mechanism conjecture of butterfly rock burst in coal seam roadway.J China Coal Soc 2016;41(11):2689-97.
[29]Kirsch G.Die Theorie der Elastizitat und die Bedurfnisse der Festigkeitslehre.Zentralblatt Verein Deutscher Ingenieure 1898;1898(42):797.
[30]Green AE.The Elastic Equilibrium of Isotropic Plates and Cylinders.London:Proceedings of the Royal Society of London;1949.
[31]Poulos HG,Davis EH.Elastic solutions for soil and rock mechanics.New York:Wiley;1974.
[32]Jia HS,Ma NJ,Zhu QK.Mechanism and control method of roof fall resulted from butterfly plastic zone penetration.J China Coal Soc 2016;41(6):1384-92.
[33]Zhao ZQ,Ma NJ,Guo XF,Zhao XD,Fan L.Falling principle and support design of butterfly-failure roof in large deformation mining roadways.J China Coal Soc2016;41(12):2932-9.
[34]Ma NJ,Li J,Zhao XD,Zhao ZQ,Liu HT,Jia HS.High quality gas channel and its construction method applied to coal and gas simultaneous extraction in deep mining.J China Coal Soc 2015;40(4):742-8.
[35]Ma NJ,Guo XF,Zhao XD,Li J,Yan ZX.Theoretical analysis and application about permeability-increasing radius of drilling for simultaneous exploitation of coal and gas.J China Coal Soc 2016;41(1):120-7.
[2]Xie HP,Xie J,Gao MZ,Zhang R,Zhou HW,Gao F,et al.Theoretical and experimental validation of mining-enhanced permeability for simultaneous exploitation of coal and gas.Environ Earth Sci 2015;73(10):5951-62.
[3]Konicek P,Soucek K,Stas L,Singh R.Long-hole destress blasting for rockburst control during deep underground coal mining.Int J Rock Mech Min2013;61:141-53.
[4]Liu T,Lin BQ,Yang W.Mechanical behavior and failure mechanism of precracked specimen under uniaxial compression.Tectonophysics 2017;712-713:330-43.
[5]Hou HH,Shao LY,Guo SQ,Li Z,Zhang ZJ,Yao ML,et al.Evaluation and genetic analysis of coal structures in deep Jiaozuo Coalfield,northern China:Investigation by Geophysical Logging Data.Fuel 2017;209:552-66.
[6]Zhuang XG,Querol X,Alastuey A,Plana F,Moreno N,Andrés JM,et al.Mineralogy and geochemistry of the coals from the Chongqing and Southeast Hubei coal mining districts,South China.Int J Coal Geol 2007;71(2):263-75.
[7]Liu T,Lin BQ,Yang W,Liu T,Zhai C.An integrated technology for gas control and green mining in deep mines based on ultra-thin seam mining.Environ Earth Sci 2017;76(6):1-17.
[8]Kang H,Zhang X,Si L,Wu Y,Gao F.In-situ stress measurements and stress distribution characteristics in underground coal mines in China.Eng Geol2010;116(3):333-45.
[9]Liu T,Lin BQ,Yang W,Zou QL,Kong J,Yan FZ.Cracking process and stress field evolution in specimen containing combined flaw under uniaxial compression.Rock Mech Rock Eng 2016;49(8):3095-113.
[10]Wu LR,Jiang ZA,Chen WM,Zuo XW,Lv DW,Yao YJ.Major accident analysis and prevention of coal mines in China from the year of 1949 to 2009.Min Sci Tech 2011;21(5):693-9.
[11]Zou H,Yan EC.The surrounding rock deformation and failure mechanism of wudang group schists roadway.Elec J Geot Eng 2015;20(11):6557-76.
[12]Lee KH,Kai DH,Park JJ,Lee IM.A study on critical strain based damagecontrolled test for the evaluation of rock roadway stability.J Kor Tunn Undergr Spa Associ 2011;13(6):501-17.
[13]Hill R.The Mathematical Theory of Plasticity.Oxford:Oxford University Press;1950.
[14]Palumbo D,Finis RD,Ancona F,Galietti U.Damage monitoring in fracture mechanics by evaluation of the heat dissipated in the cyclic plastic zone ahead of the crack tip with thermal measurements.Eng Frac Mech 2017;181:65-76.
[15]Paul SK.Numerical models of plastic zones and associated deformations for elliptical inclusions in remote elastic loading-unloading with different R-ratios.Eng Frac Mech 2016;152:72-80.
[16]Kastner H.Statik des tunel und stollenbauess.Berlin:Springer,Berlin Heidelberg;1962.
[17]Qian MG,Shi PW,Xu JL.Mining Pressure and Strata Control.Xuzhou:China University of Mining and Technology Press;2010.
[18]Ren QW,Zhang HC.The correction of Fenner formula.J Hehai Univ 2001;29(6):109-11.
[19]Wang WJ,Yuan C,Guo GY,Yu WJ.Control of malignant expansion of plastic zone in surrounding rock of rock roadway under the conditions of violent mining.J Min Saf Eng 2016;33(6):957-64.
[20]Abdel-Meguid M,Rowe RK,Lo KY.Three-dimensional analysis of unlined tunnels in rock subjected to high horizontal stress.Can Geotech J 2003;40(6):1208-24.
[21]Leitman MJ,Villaggio P.Plastic zone around circular holes.J Eng Mech2009;135(12):1467-71.
[22]Chen LW,Peng JB,Fan W,Sun P.Analysis based on unified strength theory of non-uniform stress field circular roadway for plastic zone.J China Coal Soc2007;32(1):20-3.
[23]Zhao ZQ.Study on mechanism and control method of deformation and failure of surrounding rock in large deformation mining roadway.Beijing:China University of Mining and Technology(Beijing);2014.
[24]Guo XF,Ma NJ,Zhao XD,Zhao ZQ,Li YE.The general shapes and criterion for surrounding rock mass plastic zone of round roadway.J China Coal Soc2016;41(8):1871-7.
[25]Ma NJ,Guo XF,Zhao ZQ,Zhao XD,Liu HT.Occurrence mechanisms and judging criterion on circular roadway butterfly rock burst in homogeneous medium.JChina Coal Soc 2016;41(11):2679-88.
[26]Zhao ZQ,Ma NJ,Liu HT,Guo XF.A butterfly failure theory of rock mass around roadway and its application prosprct.J Chi Uni Min Tech 2018;47(5):969-78.
[27]Ma NJ,Zhao XD,Zhao ZQ,Guo XF,Liu HT.Conjecture of butterfly shape coal and gas outburst mechanism in excavation roadway.J Min Sci Tech 2017;2(2):136-48.
[28]Zhao ZQ,Ma NJ,Guo XF,Zhao XD,Xia YX,Ma ZK.Mechanism conjecture of butterfly rock burst in coal seam roadway.J China Coal Soc 2016;41(11):2689-97.
[29]Kirsch G.Die Theorie der Elastizitat und die Bedurfnisse der Festigkeitslehre.Zentralblatt Verein Deutscher Ingenieure 1898;1898(42):797.
[30]Green AE.The Elastic Equilibrium of Isotropic Plates and Cylinders.London:Proceedings of the Royal Society of London;1949.
[31]Poulos HG,Davis EH.Elastic solutions for soil and rock mechanics.New York:Wiley;1974.
[32]Jia HS,Ma NJ,Zhu QK.Mechanism and control method of roof fall resulted from butterfly plastic zone penetration.J China Coal Soc 2016;41(6):1384-92.
[33]Zhao ZQ,Ma NJ,Guo XF,Zhao XD,Fan L.Falling principle and support design of butterfly-failure roof in large deformation mining roadways.J China Coal Soc2016;41(12):2932-9.
[34]Ma NJ,Li J,Zhao XD,Zhao ZQ,Liu HT,Jia HS.High quality gas channel and its construction method applied to coal and gas simultaneous extraction in deep mining.J China Coal Soc 2015;40(4):742-8.
[35]Ma NJ,Guo XF,Zhao XD,Li J,Yan ZX.Theoretical analysis and application about permeability-increasing radius of drilling for simultaneous exploitation of coal and gas.J China Coal Soc 2016;41(1):120-7.