辐射流条件下裂隙岩体渗透性表征单元体尺寸与等效渗透系数
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摘要
一般情况下,随着尺寸的增大,裂隙岩体的性质参数也会发生变化,当尺寸增大到某一临界状态时,该参数会保持不变,这一临界尺寸称为裂隙岩体表征单元体(REV)。依托国家某地下水封石洞油库项目,基于辐射流的REV尺寸确定方法,研究了该库址区的渗透性REV尺寸及渗透系数,得到了该库址区辐射流情况的REV尺寸为37.5 m,是迹长的1.3倍;研究了迹长、间距、岩桥长度对REV尺寸及渗透系数的影响,得到了迹长、间距对REV尺寸和渗透系数有一定的影响,而岩桥长度对REV尺寸的影响不明显;对比分析了平行流和辐射流情况下REV尺寸与渗透系数的异同,得到了采用辐射流得到的REV尺寸和渗透系数更加符合实际,并且计算较为方便。
In general, the properties and parameters of fractured rock mass are changed with the increase of rock mass size. But when the size increases to a critical state, the properties and parameters of fractured rock mass remain unchanged. The critical size is called the representative elementary volume(REV) of fractured rock mass. In this paper, based on an underground oil project in China and the method to determine REV size in radial flow configuration, the REV size for permeability and the permeability coefficient of fractured rock mass in the area of underground oil depot cavern are investigated, and the REV size is 37.5 m for radial flow configuration, which is 1.3 times of the trace length. The influences of trace length, spacing and gap length on the REV size and permeability coefficient are investigated as well. The REV size and permeability coefficient are influenced by the trace length and spacing, and the REV size is not influenced by the gap length. REV sizes and permeability coefficients under the conditions of radial and unidirectional flow configurations are calculated, and the REV size and permeability coefficient obtained in radial flow configuration are closer to the actual project and the calculation method is more convenient.
In general, the properties and parameters of fractured rock mass are changed with the increase of rock mass size. But when the size increases to a critical state, the properties and parameters of fractured rock mass remain unchanged. The critical size is called the representative elementary volume(REV) of fractured rock mass. In this paper, based on an underground oil project in China and the method to determine REV size in radial flow configuration, the REV size for permeability and the permeability coefficient of fractured rock mass in the area of underground oil depot cavern are investigated, and the REV size is 37.5 m for radial flow configuration, which is 1.3 times of the trace length. The influences of trace length, spacing and gap length on the REV size and permeability coefficient are investigated as well. The REV size and permeability coefficient are influenced by the trace length and spacing, and the REV size is not influenced by the gap length. REV sizes and permeability coefficients under the conditions of radial and unidirectional flow configurations are calculated, and the REV size and permeability coefficient obtained in radial flow configuration are closer to the actual project and the calculation method is more convenient.
引文
[1]毕丽平.地下水封石洞油库渗水量非均匀分布特征与方法研究[D].济南:山东大学,2017.BI Li-ping.Non-uniform characteristics and analysis method of groundwater inflow into underground oil storage caverns[D].Jinan:Shandong University,2017.
[2]向文飞,周创兵.裂隙岩体表征单元体研究进展[J].岩石力学与工程学报,2005,24(增刊2):5686-5692.XIANG Wen-fei,ZHOU Chuang-bing.The advances in investigation of representative elementary volume for fractured rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(Supp.2):5686-5692.
[3]卢波,葛修润,朱冬林,等.节理岩体表征单元体的分形几何研究[J].岩石力学与工程学报,2005,24(8):1355-1361.LU Bo,GE Xiu-run,ZHU Dong-lin,et al.Fractal study on the representative elementary volume of jointed rock masses[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1355-1361.
[4]BEAR J.Dynamics of fluids in porous media[M].New York:Elsevier,1972.
[5]LONG J C S,REMER J S,WILSON C R,et al.Porous media equivalents for networks of discontinuous fractures[J].Water Resources Research,1982,18(3):645-658.
[6]ODA M.A method for evaluating the representative elementary volume based on joint survey of rock masses[J].Canadian Geotechnical Journal,1988,25(3):440-447.
[7]周创兵,陈益峰,姜清辉,等.岩体表征单元体与岩体力学参数[J].岩土工程学报,2007,29(8):1135-1142.ZHOU Chuang-bing,CHEN Yi-feng,JIANG Qing-hui,et al.Representative elementary volume and mechanical parameters of fractured rock masses[J].Chinese Journal of Geotechnical Engineering,2007,29(8):1135-1142.
[8]谭春,陈剑平,阙金声,等.基于三维裂隙网络模拟和灰色理论的岩体表征单元体研究[J].水力学报,2012,43(6):709-716.TAN Chun,CHEN Jian-ping,QUE Jin-sheng,et al.Analysis of representative elementary volume for rock mass based on 3D fracture numerical network model and grey system theory[J].Journal of Hydraulic Engineering,2012,43(6):709-716.
[9]张贵科,徐卫亚.裂隙网络模拟与REV尺度研究[J].岩土力学,2008,29(6):1675-1680.ZHANG Gui-ke,XU Wei-ya.Analysis of joint network simulation method and REV scale[J].Rock and Soil Mechanics,2008,29(6):1675-1680.
[10]GRENON M,HADJIGEORGIOU J.Applications of fracture system models(FSM)in mining and civil rock engineering design[J].International Journal of Mining Reclamation and Environment,2012,26(1):55-73.
[11]LIU R C,LI B,JIANG Y J,et al.Review:Mathematical expressions for estimating equivalent permeability of rock fracture networks[J].Hydrogeology Journal,2016,24(7):1-27.
[12]杨建平,陈卫忠,戴永浩.裂隙岩体变形模量尺寸效应研究I:有限元法[J].岩土力学,2011,32(5):1623-1649.YANG Jian-ping,CHEN Wei-zhong,DAI Yong-hao.Study of scale effect of deformation modulus of fractured rock mass-part I:Finite element method[J].Rock and Soil Mechanics,2011,32(5):1623-1649.
[13]LAMA R D,VUTUKURI V S.Handbook on properties of rocks[M].Berlin:Borntraeger,1978.
[14]HUDSON J A,HARRISON J P.Engineering rock mechanics[M].London:Redwood Publishing Company,1997.
[15]张莉丽.裂隙岩体渗透典型单元体存在性[D].北京:中国地质大学,2011.ZHANG Li-li.Determining the representative elementary volumes of fracture rock mass based on permeability analysis[D].Beijing:China University of Geosciences,2011.
[16]张婷婷.地下水封油库岩体力学参数REV的各向异性研究[D].北京:中国地质大学,2013.ZHANG Ting-ting.Anisotropy of mechanical parameters’REV of rock mass in underground water-sealed caverns project[D].Beijing:China University of Geosciences,2013.
[17]纪成亮,李晓昭,王驹,等.裂隙岩体渗透系数确定方法研究[J].工程地质学报,2010,18(2):235-240.JI Cheng-liang,LI Xiao-zhao,WANG Ju,et al.Discrete fracture network model for hydraulic conductivity of fractured rock mass[J].Journal of Engineering Geology,2010,18(2):235-240.
[18]平洋,王者超,李术才,等.裂隙随机分布条件下地下石油油库水封性评价[J].岩土力学,2014,35(3):811-819.PING Yang,WANG Zhe-chao,LI Shu-cai,et al.Water seal effect evaluation of underground crude oil storage caverns around rock mass with random joints[J].Rock and Soil Mechanics,2014,35(3):811-819.
[19]王者超,李术才,乔丽苹,等.地下石油洞库水封性评价方法体系及应用[J].岩土工程学报,2016,38(11):2033-2042.WANG Zhe-chao,LI Shu-cai,QIAO Li-ping,et al.Assessment methods for containment properties of underground crude oil storage caverns and their applications[J].Chinese Journal of Geotechnical Engineering,2016,38(11):2033-2042.
[20]王者超,李术才,乔丽苹,等.大型地下石油洞库自然水封性应力-渗流耦合分析[J].岩土工程学报,2013,35(8):1535-1543.WANG Zhe-chao,LI Shu-cai,QIAO Li-ping,et al.Assessment of natural containment properties of an underground crude oil storage cavern using fluid flow-stress coupling method[J].Chinese Journal of Geotechnical Enginieering,2013,35(8):1535-1543.
[21]王者超,李术才,薛翊国,等.地下石油洞库水幕设计原则与连通性判断方法研究[J].岩石力学与工程学报,2014,33(2):276-286.WANG Zhe-chao,LI Shu-cai,XUE Yi-guo,et al.Design principles and inter-connectivity determination method of groundwater curtain system for underground crude oil storage caverns[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(2):276-286.
[22]王者超,李术才,薛翊国,等.大型地下水封石油洞库施工过程力学特性研究[J].岩土力学,2013,33(1):275-282.WANG Zhe-chao,LI Shu-cai,XUE Yi-guo,et al.Mechanical properties of surrounding rocks of large water-sealed underground oil storage caverns during construction process[J].Rock and Soil Mechanics,2013,33(1):275-282.
[23]王者超,李术才,梁建毅,等.地下水封油库渗水量预测与统计[J].岩土工程学报,2014,36(8):1490-1497.WANG Zhe-chao,LI Shu-cai,LIANG Jian-yi,et al.Prediction and measurement of groundwater flow rate of underground crude oil storage caverns[J].Chinese Journal of Geotechnical Engineering,2014,36(8):1490-1497.
[24]ALIREZA B,JING L R.Stress effects on permeability in a fractured rock mass with correlated fracture length and aperture[J].International Journal of Rock Mechanics and Mining Sciences,2008,45(8):1320-1334.
[2]向文飞,周创兵.裂隙岩体表征单元体研究进展[J].岩石力学与工程学报,2005,24(增刊2):5686-5692.XIANG Wen-fei,ZHOU Chuang-bing.The advances in investigation of representative elementary volume for fractured rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(Supp.2):5686-5692.
[3]卢波,葛修润,朱冬林,等.节理岩体表征单元体的分形几何研究[J].岩石力学与工程学报,2005,24(8):1355-1361.LU Bo,GE Xiu-run,ZHU Dong-lin,et al.Fractal study on the representative elementary volume of jointed rock masses[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(8):1355-1361.
[4]BEAR J.Dynamics of fluids in porous media[M].New York:Elsevier,1972.
[5]LONG J C S,REMER J S,WILSON C R,et al.Porous media equivalents for networks of discontinuous fractures[J].Water Resources Research,1982,18(3):645-658.
[6]ODA M.A method for evaluating the representative elementary volume based on joint survey of rock masses[J].Canadian Geotechnical Journal,1988,25(3):440-447.
[7]周创兵,陈益峰,姜清辉,等.岩体表征单元体与岩体力学参数[J].岩土工程学报,2007,29(8):1135-1142.ZHOU Chuang-bing,CHEN Yi-feng,JIANG Qing-hui,et al.Representative elementary volume and mechanical parameters of fractured rock masses[J].Chinese Journal of Geotechnical Engineering,2007,29(8):1135-1142.
[8]谭春,陈剑平,阙金声,等.基于三维裂隙网络模拟和灰色理论的岩体表征单元体研究[J].水力学报,2012,43(6):709-716.TAN Chun,CHEN Jian-ping,QUE Jin-sheng,et al.Analysis of representative elementary volume for rock mass based on 3D fracture numerical network model and grey system theory[J].Journal of Hydraulic Engineering,2012,43(6):709-716.
[9]张贵科,徐卫亚.裂隙网络模拟与REV尺度研究[J].岩土力学,2008,29(6):1675-1680.ZHANG Gui-ke,XU Wei-ya.Analysis of joint network simulation method and REV scale[J].Rock and Soil Mechanics,2008,29(6):1675-1680.
[10]GRENON M,HADJIGEORGIOU J.Applications of fracture system models(FSM)in mining and civil rock engineering design[J].International Journal of Mining Reclamation and Environment,2012,26(1):55-73.
[11]LIU R C,LI B,JIANG Y J,et al.Review:Mathematical expressions for estimating equivalent permeability of rock fracture networks[J].Hydrogeology Journal,2016,24(7):1-27.
[12]杨建平,陈卫忠,戴永浩.裂隙岩体变形模量尺寸效应研究I:有限元法[J].岩土力学,2011,32(5):1623-1649.YANG Jian-ping,CHEN Wei-zhong,DAI Yong-hao.Study of scale effect of deformation modulus of fractured rock mass-part I:Finite element method[J].Rock and Soil Mechanics,2011,32(5):1623-1649.
[13]LAMA R D,VUTUKURI V S.Handbook on properties of rocks[M].Berlin:Borntraeger,1978.
[14]HUDSON J A,HARRISON J P.Engineering rock mechanics[M].London:Redwood Publishing Company,1997.
[15]张莉丽.裂隙岩体渗透典型单元体存在性[D].北京:中国地质大学,2011.ZHANG Li-li.Determining the representative elementary volumes of fracture rock mass based on permeability analysis[D].Beijing:China University of Geosciences,2011.
[16]张婷婷.地下水封油库岩体力学参数REV的各向异性研究[D].北京:中国地质大学,2013.ZHANG Ting-ting.Anisotropy of mechanical parameters’REV of rock mass in underground water-sealed caverns project[D].Beijing:China University of Geosciences,2013.
[17]纪成亮,李晓昭,王驹,等.裂隙岩体渗透系数确定方法研究[J].工程地质学报,2010,18(2):235-240.JI Cheng-liang,LI Xiao-zhao,WANG Ju,et al.Discrete fracture network model for hydraulic conductivity of fractured rock mass[J].Journal of Engineering Geology,2010,18(2):235-240.
[18]平洋,王者超,李术才,等.裂隙随机分布条件下地下石油油库水封性评价[J].岩土力学,2014,35(3):811-819.PING Yang,WANG Zhe-chao,LI Shu-cai,et al.Water seal effect evaluation of underground crude oil storage caverns around rock mass with random joints[J].Rock and Soil Mechanics,2014,35(3):811-819.
[19]王者超,李术才,乔丽苹,等.地下石油洞库水封性评价方法体系及应用[J].岩土工程学报,2016,38(11):2033-2042.WANG Zhe-chao,LI Shu-cai,QIAO Li-ping,et al.Assessment methods for containment properties of underground crude oil storage caverns and their applications[J].Chinese Journal of Geotechnical Engineering,2016,38(11):2033-2042.
[20]王者超,李术才,乔丽苹,等.大型地下石油洞库自然水封性应力-渗流耦合分析[J].岩土工程学报,2013,35(8):1535-1543.WANG Zhe-chao,LI Shu-cai,QIAO Li-ping,et al.Assessment of natural containment properties of an underground crude oil storage cavern using fluid flow-stress coupling method[J].Chinese Journal of Geotechnical Enginieering,2013,35(8):1535-1543.
[21]王者超,李术才,薛翊国,等.地下石油洞库水幕设计原则与连通性判断方法研究[J].岩石力学与工程学报,2014,33(2):276-286.WANG Zhe-chao,LI Shu-cai,XUE Yi-guo,et al.Design principles and inter-connectivity determination method of groundwater curtain system for underground crude oil storage caverns[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(2):276-286.
[22]王者超,李术才,薛翊国,等.大型地下水封石油洞库施工过程力学特性研究[J].岩土力学,2013,33(1):275-282.WANG Zhe-chao,LI Shu-cai,XUE Yi-guo,et al.Mechanical properties of surrounding rocks of large water-sealed underground oil storage caverns during construction process[J].Rock and Soil Mechanics,2013,33(1):275-282.
[23]王者超,李术才,梁建毅,等.地下水封油库渗水量预测与统计[J].岩土工程学报,2014,36(8):1490-1497.WANG Zhe-chao,LI Shu-cai,LIANG Jian-yi,et al.Prediction and measurement of groundwater flow rate of underground crude oil storage caverns[J].Chinese Journal of Geotechnical Engineering,2014,36(8):1490-1497.
[24]ALIREZA B,JING L R.Stress effects on permeability in a fractured rock mass with correlated fracture length and aperture[J].International Journal of Rock Mechanics and Mining Sciences,2008,45(8):1320-1334.
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