沥青路面裂缝细观渗流特性及试验研究
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摘要
采用格子Boltzmann方法(LBM)研究分析沥青路面裂缝的细观渗流特性,建立了压力梯度作用下复杂单裂隙面细观渗流的数值模型,然后使用光滑平板裂隙渗流的经典立方定律对模型进行了验证,并且讨论了沥青混合料裂隙面的粗糙度与弯曲度对其渗流特性的影响.结果表明:随着裂隙面相对粗糙度的增大,裂隙渗流明显偏离了立方定律;随着裂隙面弯曲度的增大,裂隙渗流与弯曲度的-3.8327次方成正比.最后,采用自行研制的可加围压的侧壁橡胶膜止水渗透仪测量沥青混合料裂隙面的渗透系数,并与立方定律实用修正公式的计算结果进行对比,结果发现两者误差较小,修正公式的计算结果更加准确合理,可以为路面水渗入率计算提供准确的基本参数,从而为路面排水设计提供有价值的参考.
Lattice Boltzmann method(LBM) was introduced into the seepage characteristic analysis of asphalt pavement crack. The mesoscopic seepage numerical model of complex single fracture surface under pressure gradient and corresponding calculation program were established, which were validated by the cubic law of smooth plate crack seepage. Based on the model and program, the influence of roughness and tortuosity of asphalt mixture crack surface on seepage was discussed respectively. The results show thatthe crack seepage deviates obviously from the cubic law with the increase of relative roughness. With the increase of the tortuosity, the crack seepage is proportional to its -3.8327 power. Therefore, a permeability coefficient tester with applicable confining pressure side rubber membrane is developed, and the results are compared and analyzed through laboratory tests.The modified formula suggested is more accurate and reasonable, which can provide reliable basis for infiltration rate of pavement and valuable reference fordrainage design.
Lattice Boltzmann method(LBM) was introduced into the seepage characteristic analysis of asphalt pavement crack. The mesoscopic seepage numerical model of complex single fracture surface under pressure gradient and corresponding calculation program were established, which were validated by the cubic law of smooth plate crack seepage. Based on the model and program, the influence of roughness and tortuosity of asphalt mixture crack surface on seepage was discussed respectively. The results show thatthe crack seepage deviates obviously from the cubic law with the increase of relative roughness. With the increase of the tortuosity, the crack seepage is proportional to its -3.8327 power. Therefore, a permeability coefficient tester with applicable confining pressure side rubber membrane is developed, and the results are compared and analyzed through laboratory tests.The modified formula suggested is more accurate and reasonable, which can provide reliable basis for infiltration rate of pavement and valuable reference fordrainage design.
引文
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[9] 王志良,申林方,李邵军,等.基于格子Boltzmann方法的岩体单裂隙面渗流特性研究[J].岩土力学,2017,38(4):1-8.WANG Zhiliang,SHEN Linfang,LI Shaojun,et al.Seepage characteristics in a single fracture based on lattice Boltzmann method[J].Rock and Soil Mechanics,2017,38(4):1-8.(in Chinese)
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[14] SWIFT M R,ORLANDINI E,OSBORN W R,et al.Lattice Boltzmann simulations of liquid-gas and binary fluid systems[J].Physical Review E,1996,54(5):5041-5052.
[15] HE X Y,LUO L S.A priori derivation of the lattice Boltzmann equation[J].Physical Review E,1997,55(6):6333-6336.
[16] CHEN S Y,CHEN H D,MARTINEZ D,et al.Lattice Boltzmann model for simulation of magnetohydrodynamics[J].Physical Review Letters,1991,67(27):3776-3779.
[17] QIAN Y H,D'HUMIèRES D,LALLEMAND P.Lattice BGK model for Navier-Stokes equation[J].Europhysics Letters,1992,17(6):479-484.
[18] 何雅玲,王勇,李庆.格子 Boltzmann方法的理论及应用[M].北京:科学出版社,2009:122-141.HE Yaling,WANG Yong,LI Qing.Lattice Boltzmann method:Theory and applications[M].Beijing:Science Press,2009:122-141.(in Chinese)
[2] 张磊,苗强强,陈正汉,等.含水率变化对路基回弹模量的影响[J].后勤工程学院学报,2010,26(3):13-16.ZHANG Lei,MIAO Qiangqiang,CHEN Zhenghan,et al.Water content change on the subgrade resilient modulus on effects[J].Journal of Logistical Engineering University,2010,26(3):13-16.(in Chinese)
[3] 但汉成,李亮,李凌.开裂沥青路面结构渗水量计算[J].哈尔滨工业大学学报,2011,43(6):105-111.DAN Hancheng,LI Liang,LI Ling.Calculation for infiltration rate of flow in cracking asphalt pavement[J].Journal of Harbin Institute of Technology,2011,43(6):105-111.(in Chinese)
[4] 李宗利,任青文,王亚红.岩石与混凝土水力劈裂缝内水压分布的计算[J].水利学报,2005,36(6):656-661.LI Zongli,REN Qingwen,WANG Yahong.Formula for water pressure distribution in rock or concrete fracture formed by hydraulic fracturing[J].Journal of Hydraulic Engineering,2005,36(6):656-661.(in Chinese)
[5] 速宝玉,詹美礼,赵礼.仿天然岩体裂隙渗流的实验研究[J].岩土工程学报,1995,17(5):19-24.SU Baoyu,ZHAN Meili,ZHAO Li.Study on fracture seepage in the limitative nature rock[J].Chinese Journal of Geotechnical Engineering,1995,17(5):19-24.(in Chinese)
[6] 许光祥,张永兴,哈秋舲.粗糙裂隙渗流的超立方和次立方定律及其试验研究[J].水利学报,2003(3):74-79.XU Guangxiang,ZHANG Yongxing,HA Qiuling.Super-cubic and sub-cubic law of rough seepage and its experiment study[J].Journal of Hydraulic Engineering,2003(3):74-79.(in Chinese)
[7] 徐维生,陈兴周,李娟娟.岩体粗糙裂隙渗流研究[J].西安理工大学学报,2010,26(2):218-222.XU Weisheng,CHEN Xingzhou,LI Juanjuan.Research on seepage in coarse fractures of rock mass[J].Journal of Xi'an University of Technology,2010,26(2):218-222.(in Chinese)
[8] 盛金昌,王璠,张霞,等.格子Boltzmann方法研究岩石粗糙裂隙渗流特性[J].岩土工程学报,2014,36(7):1213-1217.SHENG Jinchang,WANG Fan,ZHANG Xia,et al.Lattice Boltzmann method for rough fracture seepage characteristics of rock[J].Chinese Journal of Geotechnical Engineering,2014,36(7):1213-1217.(in Chinese)
[9] 王志良,申林方,李邵军,等.基于格子Boltzmann方法的岩体单裂隙面渗流特性研究[J].岩土力学,2017,38(4):1-8.WANG Zhiliang,SHEN Linfang,LI Shaojun,et al.Seepage characteristics in a single fracture based on lattice Boltzmann method[J].Rock and Soil Mechanics,2017,38(4):1-8.(in Chinese)
[10] LOUIS C.Rock hydraulics in rock mechanics[M].New York:Spring-Verlag,1974:303-306.
[11] AMADEI B,ILLANGASEKARE T.A mathematical model for flow and solute transport in non-homogeneous rock fracture[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1994,31(6):719-731.
[12] HE X Y,LUO L S.Theory of the lattice Boltzmann method:From the Boltzmann equation to the lattice Boltzmann equation[J].Physical Review E,1997,56(6):6811-6817.
[13] MCNAMARA G R,ZANETTI G.Use of the Boltzmann equation to simulate lattice gasautomata[J].Physical Review Letters,1988,61(20):2332-2335.
[14] SWIFT M R,ORLANDINI E,OSBORN W R,et al.Lattice Boltzmann simulations of liquid-gas and binary fluid systems[J].Physical Review E,1996,54(5):5041-5052.
[15] HE X Y,LUO L S.A priori derivation of the lattice Boltzmann equation[J].Physical Review E,1997,55(6):6333-6336.
[16] CHEN S Y,CHEN H D,MARTINEZ D,et al.Lattice Boltzmann model for simulation of magnetohydrodynamics[J].Physical Review Letters,1991,67(27):3776-3779.
[17] QIAN Y H,D'HUMIèRES D,LALLEMAND P.Lattice BGK model for Navier-Stokes equation[J].Europhysics Letters,1992,17(6):479-484.
[18] 何雅玲,王勇,李庆.格子 Boltzmann方法的理论及应用[M].北京:科学出版社,2009:122-141.HE Yaling,WANG Yong,LI Qing.Lattice Boltzmann method:Theory and applications[M].Beijing:Science Press,2009:122-141.(in Chinese)