考虑脆性损伤和水力耦合影响的立井井壁临界突水水压理论解
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摘要
针对混凝土这种准脆性材料的损伤特性引入脆性损伤因子,导出三轴状态下损伤变量表达式。采用脆性材料弹塑性损伤力学模型和轴压水压耦合作用下混凝土强度准则,基于水力耦合理论导出井壁承受的地下水压解析解,开展临界突水水压理论分析。结果表明高强混凝土承受的地下水压远高于普通混凝土,且随着混凝土强度提高井壁承受的水压越大,水压与损伤半径的曲线斜率增速越快。混凝土井壁承受的临界突水水压及临界损伤半径随着孔隙率增大明显降低,且混凝土强度越高降低速率越快,考虑水力耦合作用对井壁承受的临界突水水压影响很大。高强混凝土脆性损伤因子提高,临界突水水压随之降低。实例验证表明本文得到的理论解合理。
In view of the damage characteristics of quasi-brittle material in concrete, brittle damage factor is introduced, and the damage variable expression under triaxial state is deduced. Through elastoplastic damage mechanics model of brittle materials and concrete strength criterion under axial compression and hydraulic pressure, based on the hydraulic coupling theory, analytical solution of groundwater pressure under shaft lining is obtained to theoretically analyze the critical water inrush pressure.Results have shown that groundwater pressure of high strength concrete is much higher than that of ordinary concrete. With the increase of concrete strength, the groundwater pressure increases and the slope of the curve between groundwater pressure and damage radius increases at a faster rate. The critical water inrush pressure and critical damage radius of concrete shaft lining obviously reduce with the increase of porosity, and the rate of decrease is faster as the strength of concrete increases, the hydraulic coupling having a great influence on the critical water inrush pressure on the shaft lining. The brittleness damage factor of high strength concrete increases and the critical water inrush pressure decreases obviously. The example verifies the rationality of the theoretical solution obtained in this paper.
In view of the damage characteristics of quasi-brittle material in concrete, brittle damage factor is introduced, and the damage variable expression under triaxial state is deduced. Through elastoplastic damage mechanics model of brittle materials and concrete strength criterion under axial compression and hydraulic pressure, based on the hydraulic coupling theory, analytical solution of groundwater pressure under shaft lining is obtained to theoretically analyze the critical water inrush pressure.Results have shown that groundwater pressure of high strength concrete is much higher than that of ordinary concrete. With the increase of concrete strength, the groundwater pressure increases and the slope of the curve between groundwater pressure and damage radius increases at a faster rate. The critical water inrush pressure and critical damage radius of concrete shaft lining obviously reduce with the increase of porosity, and the rate of decrease is faster as the strength of concrete increases, the hydraulic coupling having a great influence on the critical water inrush pressure on the shaft lining. The brittleness damage factor of high strength concrete increases and the critical water inrush pressure decreases obviously. The example verifies the rationality of the theoretical solution obtained in this paper.
引文
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[14]薛维培,姚直书,王晓健,等.轴压水压下井壁混凝土强度准则与承载力研究[J].中国安全科学学报,2018,28(8):129-134.XUE Weipei,YAO Zhishu,WANG Xiaojian,et al.Research on strength criterion and bearing capacity of shaft lining concrete under axial pressure and hydraulic pressure[J].China Safety Science Journal,2018,28(8):129-134.
[15]徐辉东.深厚表土层冻结井壁高强高性能混凝土试验与应用研究[D].北京:中国矿业大学(北京),2006.
[16]彭世龙,荣传新,程桦.潘三煤矿西风井井壁突水机理分析[J].广西大学学报(自然科学版),2015,40(4):1038-1043.PENG Shilong,RONG Chuanxin,CHENG Hua.Mechanism analysis of water inrush in west ventilation shaft lining at Pansan coal mine[J].Journal of Guangxi University(Nature Science Edition),2015,40(4):1038-1043.
[2]郭向勇.高强混凝土脆性评价方法及其增韧措施的研究[D].武汉:武汉大学,2005.
[3]周晓敏,陈建华,罗晓青.孔隙型含水基岩段竖井井壁厚度拟订设计研究[J].煤炭学报,2009,34(9):1174-1178.ZHOU Xiaomin,CHEN Jianhua,LUO Xiaoqing.Research on the preliminary thickness design of shaft lining in porous rock aquifer[J].Journal of China Coal Society,2009,34(9):1174-1178.
[4]姚直书,程桦,荣传新.西部地区深基岩冻结井筒井壁结构设计与优化[J].煤炭学报,2010,35(5):760-764.YAO Zhishu,CHENG Hua,RONG Chuanxin.Shaft structural design and optimization of deep freezing bedrock shaft in west area[J].Journal of China Coal Society,2010,35(5):760-764.
[5]荣传新,王秀喜,蔡海兵,等.基于流固耦合理论的煤矿立井井壁突水机理分析[J].煤炭学报,2011,36(12):2102-2108.RONG Chuanxin,WANG Xiuxi,CAI Haibing,et al.Analysis of shaft lining water irruption mechanism in coal mine based on fluid-solid coupling theory[J].Journal of China Coal Society,2011,36(12):2102-2108.
[6]李雪梅,荣传新,程桦.基于三参数强度准则的煤矿立井井壁流固耦合理论分析[J].长江科学院院报,2016,33(6):83-87.LI Xuemei,RONG Chuanxin,CHENG Hua.Analysis of coal mine shaft lining with fluid-solid coupling theory based on three-parameter strength criterion[J].Journal of Yangtze River Scientific Research Institute,2016,33(6):83-87.
[7]李庆斌,陈樟福生,孙满义,等.真实水荷载对混凝土强度影响的试验研究[J].水利学报,2007,38(7):786-791.LI Qingbin,CHEN Zhangfusheng,SUN Manyi,et al.Effect of water loading on strength of concrete[J].Journal of Hydraulic Engineering,2007,38(7):786-791.
[8]康亚明,刘长武,贾延,等.岩石的统计损伤本构模型及临界损伤度研究[J].四川大学学报(工程科学版),2009,41(4):42-47.KANG Yaming,LIU Changwu,JIA Yan,et al.Research on statistical damage constitutive model and critical damage for rock subjected to triaxial stress condition[J].Journal of Sichuan University(Engineering Science Edition),2009,41(4):42-47.
[9]周维垣,剡公瑞,杨若琼.岩体弹脆性损伤本构模型及工程应用[J].岩土工程学报,1998,20(4):54-57.ZHOU Weiyuan,YAN Gongrui,YANG Ruoqiong.Elasto-brittle damage model for rockmass based on field tests in Laxiwa arch dam site[J].Chinese Journal of Geotechnical Engineering,1998,20(4):54-57.
[10]卞康,肖明,刘会波.考虑脆性损伤和渗流的圆形水工隧洞解析解[J].岩土力学,2012,33(1):209-214.BIAN Kang,XIAO Ming,LIU Huibo.Analytical solutions of circular hydraulic tunnel considering brittle damage and seepage[J].Rock and Soil Mechanics,2012,33(1):209-214.
[11]张永亮,朱大勇,姚华彦,等.干燥和饱和状态下混凝土动静态压缩性能试验研究及其本构关系[J].建筑结构,2015,45(12):23-27.ZHANG Yongliang,ZHU Dayong,YAO Huayan,et al.Study on dynamic and static compression performance of concrete for dry and saturated state and its constitutive relationship[J].Building Structure,2015,45(12):23-27.
[12]LEMAIYRE J.How to use damage mechanics[J].Nuclear Engineering and Design,1984,80(3):233-245.
[13]张驰,韩涛,杨志江,等.凿井期基岩冻结壁对井壁的径向荷载及其影响因素[J].采矿与安全工程学报,2017,34(5):972-980.ZHANG Chi,HAN Tao,YANG Zhijiang,et al.Study on the radial load of bedrock frozen wall on shaft lining during freeze sinking and its influencing factors[J].Journal of Mining&Safety Engineering,2017,34(5):972-980.
[14]薛维培,姚直书,王晓健,等.轴压水压下井壁混凝土强度准则与承载力研究[J].中国安全科学学报,2018,28(8):129-134.XUE Weipei,YAO Zhishu,WANG Xiaojian,et al.Research on strength criterion and bearing capacity of shaft lining concrete under axial pressure and hydraulic pressure[J].China Safety Science Journal,2018,28(8):129-134.
[15]徐辉东.深厚表土层冻结井壁高强高性能混凝土试验与应用研究[D].北京:中国矿业大学(北京),2006.
[16]彭世龙,荣传新,程桦.潘三煤矿西风井井壁突水机理分析[J].广西大学学报(自然科学版),2015,40(4):1038-1043.PENG Shilong,RONG Chuanxin,CHENG Hua.Mechanism analysis of water inrush in west ventilation shaft lining at Pansan coal mine[J].Journal of Guangxi University(Nature Science Edition),2015,40(4):1038-1043.
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