›› 2013, Vol. 34 ›› Issue (4): 1171-1178.

• Numerical Analysis • Previous Articles     Next Articles

Formulation and simulation of non-steady seepage flow through fracture network in rock masses

YE Zu-yang1, JIANG Qing-hui1, 2, YAO Chi1, ZHOU Chuang-bing1, 2   

  1. 1. State Key Laboratory of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China; 2. School of Civil and Architectural Engineering, Wuhan University , Wuhan 430072, China
  • Received:2012-01-17 Online:2013-04-10 Published:2013-04-16

PDF (Chinese)

1631

Abstract: By extending Darcy’s law to dry domain above the free surface and specifying a Signorini’s type of boundary condition on the potential seepage boundaries, a new initial-boundary value problem of entire domain is deduced from non-steady seepage flow problems with free surface of in fractured rock masses. A parabolic variational inequality(PVI) formulation equivalent to the partial differential equation(PDE) is proposed for reducing the difficulty in selecting trial functions, while the finite element discretization and iterative algorithm of the PVI formulation are detailed. The validity of the numerical approach is then verified by existing laboratory tests. Finally, as an application to the non-steady seepage flow analysis in rock slope including complex fracture networks, the calculation results well illustrate the variations of free surfaces during drawdown of reservoir water level; characteristics of seepage flow movement in fracture networks and inhomogeneity of flow distribution at seepage surfaces.

Key words: fracture networks, non-steady seepage flow, free surface, variational inequality, numerical simulation

CLC Number: 

  • TU 443
[1] LI Fan-fan, CHEN Wei-zhong, LEI Jiang, YU Hong-dan, MA Yong-shang, . Study of mechanical properties of claystone based on plastic damage [J]. Rock and Soil Mechanics, 2020, 41(1): 132-140.
[2] XIA Kun, DONG Lin, PU Xiao-wu, LI Lu. Earthquake response characteristics of loess tableland [J]. Rock and Soil Mechanics, 2020, 41(1): 295-304.
[3] GUO Yuan-cheng, LI Ming-yu, ZHANG Yan-wei, . Incremental analytical method for prestressed anchor and soil nail wall composite support system [J]. Rock and Soil Mechanics, 2019, 40(S1): 253-258.
[4] YAN Guo-qiang, YIN Yue-ping, HUANG Bo-lin, ZHANG Zhi-hua, DAI Zhen-wei, . Formation mechanism and deformation characteristics of Jinjiling landslide in Wushan, Three Gorges Reservoir region [J]. Rock and Soil Mechanics, 2019, 40(S1): 329-340.
[5] LIU Hong-yan. Influence of macroscopic and mesoscopic flaws on mechanical behavior of rock mass and slope stability [J]. Rock and Soil Mechanics, 2019, 40(S1): 431-439.
[6] JIN Ai-bing, LIU Jia-we, ZHAO Yi-qing, WANG Ben-xin, SUN Hao, WEI Yu-dong, . Mechanical characteristics analysis of granite under unloading conditions [J]. Rock and Soil Mechanics, 2019, 40(S1): 459-467.
[7] HAN Zheng, SU Bin, LI Yan-ge, WANG Wei, WANG Wei-dong, HUANG Jian-ling, CHEN Guang-qi, . Smoothed particle hydrodynamic numerical simulation of debris flow process based on Herschel-Bulkley-Papanastasiou constitutive model [J]. Rock and Soil Mechanics, 2019, 40(S1): 477-485.
[8] WU Mei-su, ZHOU Cheng, WANG Lin, TAN Chang-ming, . Numerical simulation of the influence of roots and fissures on hydraulic and mechanical characteristics of the soil [J]. Rock and Soil Mechanics, 2019, 40(S1): 519-526.
[9] WU Jin-liang, HE Ji, . Composite element model for dynamic excavation simulation of rock slope [J]. Rock and Soil Mechanics, 2019, 40(S1): 535-540.
[10] WU Feng-yuan, FAN Yun-yun, CHEN Jian-ping, LI Jun, . Simulation analysis of dynamic process of debris flow based on different entrainment models [J]. Rock and Soil Mechanics, 2019, 40(8): 3236-3246.
[11] SUN Feng, XUE Shi-feng, PANG Ming-yu, TANG Mei-rong, ZHANG Xiang, LI Chuan, . 3D simulation of fracture growth from perforation to near-wellbore in horizontal wells based on continuum damage model [J]. Rock and Soil Mechanics, 2019, 40(8): 3255-3261.
[12] MU Rui, PU Shao-yun, HUANG Zhi-hong, LI Yong-hui, ZHENG Pei-xin, LIU Yang, LIU Ze, ZHENG Hong-chao, . Determination of ultimate bearing capacity of uplift piles in combined soil and rock masses [J]. Rock and Soil Mechanics, 2019, 40(7): 2825-2837.
[13] JIN Jun-chao, SHE Cheng-xue, SHANG Peng-yang. A nonlinear creep model of rock based on the strain softening index [J]. Rock and Soil Mechanics, 2019, 40(6): 2239-2246.
[14] ZHANG Cong, LIANG Jing-wei, YANG Jun-sheng, CAO Lei, XIE Yi-peng, ZHANG Gui-jin, . Research on the diffusion mechanism and application of pulsate grouting in embankment and dam [J]. Rock and Soil Mechanics, 2019, 40(4): 1507-1514.
[15] YAN Jian, HE Chuan, WANG Bo, MENG Wei, . Influence of high geotemperature on rockburst occurrence in tunnel [J]. Rock and Soil Mechanics, 2019, 40(4): 1543-1550.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] TANG Ming-ming, WANG Zhi-yin, MA Lan-ping, ZENG Zhi-hua, ZHANG Zhi-pei. Study of design parameters of oil-gas pipeline traversing loess gully[J]. , 2010, 31(4): 1314 -1318 .
[2] ZHANG Guang-ming, LIU He, ZHANG Jin, WU Heng-an, WANG Xiu-xi. Mathematical model and nonlinear finite element equation for reservoir fluid-solid coupling[J]. , 2010, 31(5): 1657 -1662 .
[3] LIN Hang，CAO Ping，LI Jiang-teng，JIANG Xue-liang，HE Zhong-ming. Deformation stability of three-dimensional slope based on Hoek-Brown criterion[J]. , 2010, 31(11): 3656 -3660 .
[4] LI Jun-cai，JI Guang-qiang，SONG Gui-hua，ZHANG Qiong，WANG Zhi-liang，YAN Xiao-min. In-situ measurement and analysis of sparse pile-raft foundation of high-rise building[J]. , 2009, 30(4): 1018 -1022 .
[5] WEI Ning，LI Xiao-chun，WANG Yan，GU Zhi-meng. Resources quantity and utilization prospect of methane in municipal solid waste landfills[J]. , 2009, 30(6): 1687 -1692 .
[6] NIU Wen-jie，YE Wei-min，LIU Shao-gang，YU Hai-tao. Limit analysis of a soil slope considering saturated-unsaturated seepage[J]. , 2009, 30(8): 2477 -2482 .
[7] YIN Hong-lei，XU Qian-jun，LI Zhong-kui. Effect of swelling deformation on stability of expansive soil slope[J]. , 2009, 30(8): 2506 -2510 .
[8] WANG Ke-liang, LIU Ling, SUI Tong-bo , XU Yun-hai, HU Ting-zheng. Experiment research on anti-shear(cut)performance of dam bedrock-rubber powder modified concrete in-situ[J]. , 2011, 32(3): 753 -756 .
[9] LIN Da-ming1,2，SHANG Yan-jun1，SUN Fu-jun3，SUN Yuan-chun1,2，WU Feng-bo1,2，LIU Zhi. Study of strength assessment of rock mass and application[J]. , 2011, 32(3): 837 -842 .
[10] WU Jian，FENG Shao-kong，LI Hong-jie. Study of automatically extracting structural plane parameters from borehole images[J]. , 2011, 32(3): 951 -957 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd