• ISSN 2305-7068
  • Indexed by ESCI CABI CAS
  • DOAJ Scopus GeoRef AJ CNKI
Advanced Search
Volume 10 Issue 1
Mar.  2022
Turn off MathJax
Article Contents
Qu CX, Wang MY, Wang P. 2022. Experimental and numerical investigation of groundwater head losses on and nearby short intersections between disc-shaped fractures. Journal of Groundwater Science and Engineering, 10(1): 33-43 doi:  10.19637/j.cnki.2305-7068.2022.01.004
Citation: Qu CX, Wang MY, Wang P. 2022. Experimental and numerical investigation of groundwater head losses on and nearby short intersections between disc-shaped fractures. Journal of Groundwater Science and Engineering, 10(1): 33-43 doi:  10.19637/j.cnki.2305-7068.2022.01.004

Experimental and numerical investigation of groundwater head losses on and nearby short intersections between disc-shaped fractures

doi: 10.19637/j.cnki.2305-7068.2022.01.004
More Information
  • Corresponding author: mwang@ucas.edu.cn
  • Received Date: 2021-07-12
  • Accepted Date: 2021-12-28
  • Available Online: 2022-03-24
  • Publish Date: 2022-03-15
  • Discrete fracture models are used for investigating precise processes of groundwater flow in fractured rocks, while a disc-shaped parallel-plates model for a single fracture is more reasonable and efficient for computational treatments. The flow velocity has a large spatial differentiation which is more likely to produce non-linear flow and additional head losses on and nearby intersections in such shaped fractures, therefore it is necessary to understand and quantify them. In this study, both laboratory experiments and numerical simulations were performed to investigate the total head loss on and nearby the intersections as well as the local head loss exactly on the intersections, which were not usually paid sufficient attention or even ignored. The investigation results show that these two losses account for 29.17%-84.97% and 0-73.57% of the entire total head loss in a fracture, respectively. As a result, they should be necessarily considered for groundwater modeling in fractured rocks. Furthermore, both head losses become larger when aperture and flow rate increase and intersection length decreases. Particularly, the ratios of these two head losses to the entire total head loss in a fracture could be well statistically explained by power regression equations with variables of aperture, intersection length, and flow rates, both of which achieved high coefficients of determination. It could be feasible through this type of study to provide a way on how to adjust the groundwater head from those obtained by numerical simulations based on the traditional linear flow model. Finally, it is practicable and effective to implement the investigation approach combining laboratory experiments with numerical simulations for quantifying the head losses on and nearby the intersections between disc-shaped fractures.
  • 加载中
  • Baecher GB, Lanney NA. 1978. Trace length biases in joint surveys, 19th U. S. Symposium on Rock Mechanics: 56–65.
    Bear. 1972. Dynamics of fluids in porous media, Dover Publications.
    Borgne TL, Bour O, Paillet FL, et al. 2006. Assessment of preferential flow path connectivity and hydraulic properties at single-borehole and cross-borehole scales in a fractured aquifer. Journal of Hydrology, 328(1-2): 347-359. doi:  10.1016/j.jhydrol.2005.12.029
    Cacas MC. 1990. Modeling fracture flow with a stochastic discrete fracture network: Calibration and Validation 1. The flow model. Water Resources Research, 26(3): 491-500. doi:  10.1029/WR026i003p00491
    Cao C, Xu ZG, Chai JR, et al. 2019. Radial fluid flow regime in a single fracture under high hydraulic pressure during shear process. Journal of Hydrology, 579: 124-142. doi:  10.1016/j.jhydrol.2019.124142
    Dershowitz WS, Einstein HH. 1988. Characterizing rock joint geometry with joint system models. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 21(1): 21-51. doi:  10.1007/BF01019674
    Dverstorp B, Andersson J, Nordqvist W. 1992. Discrete fracture network interpretation of field tracer migration in sparsely fractured rock. Water Resources Research, 28(9): 2327-2343. doi:  10.1029/92WR01182
    Gong Y, Mehana M, El-Monier I, et al. 2020. Proppant placement in complex fracture geometries: A computational fluid dynamics study. Journal of Natural Gas Science and Engineering, 79: 103295. doi:  10.1016/j.jngse.2020.103295
    Grechka V, Kachanov M. 2006. Effective elasticity of rocks with closely spaced and intersecting cracks. Geophysics. 71: 85-91.
    Guo JC, Zheng J, Lyu Q, et al. 2020. A procedure to estimate the accuracy of circular and elliptical discs for representing the natural discontinuity facet in the discrete fracture network models. Computers and Geotechnics, 121: 103483. doi:  10.1016/j.compgeo.2020.103483
    Hartley L, Roberts D. 2013. Summary of discrete fracture network modelling as applied to hydrogeology of the Forsmark and Laxemar sites, Swedish: 8-9.
    Hunter Rouse. 1946. Elementary mechanics of fluids. New York, John Wiley & Sons, Inc. Chapter, 7: 192-226.
    Hu YJ, Mao GH, Cheng WP, Zhang JJ. 2005. Theoretical and experimental study on flow distribution at fracture intersections,. Journal of Hydraulic Research, 43(3): 321-327. doi:  10.1080/00221680509500126
    Jing LR. 2007. The basics of fracture system characterization – Field mapping and stochastic simulations. Developments in geotechnical engineering, 85: 147-177. doi:  10.1016/s0165-1250(07)85005-x
    Johnson J, Brown S, Stockman H. 2006. Fluid flow and mixing in rough-walled fracture intersections. Journal of Geophysical Research: Solid Earth, 111(B12).
    Kemler E. 1933. A study of the sata on the flow of fluid in pipes. Transactions of the ASME. 55 (Hyd-55-2): 7–32.
    Kolditz O. 2001. Non‐linear flow in fractured rock. International Journal of Numerical Methods for Heat & Fluid Flow, 11(6): 547-575. doi:  10.1108/eum0000000005668
    Koudina N, Gonzalez Garcia R, Thovert JF, et al. 1998. Permeability of three-dimensional fracture networks. Physical Review E, 57(4): 4466-4479. doi:  10.1103/physreve.57.4466
    Lei Q, Latham JP, Tsang CF. 2017. The use of discrete fracture networks for modelling coupled geomechanical and hydrological behaviour of fractured rocks. Computers and Geotechnics, 85: 151-176. doi:  10.1016/j.compgeo.2016.12.024
    Liu R, Jiang Y, Li B. 2016. Effects of intersection and dead-end of fractures on nonlinear flow and particle transport in rock fracture networks. Geosciences Journal, 20(3): 415-426. doi:  10.1007/s12303-015-0057-7
    Long JCS, Gilmour P, Witherspoon PA. 1985. A model for steady fluid flow in random three-dimensional networks of disc-shaped fractures. Water Resources Research, 21(8): 1105-1115. doi:  10.1029/wr021i008p01105
    Moody LF, Princeton NJ. 1944. Friction factors for pipe flow. Transactions of the ASME, 66: 671-684.
    Petchsingto T, Karpyn ZT. 2009. Deterministic modeling of fluid flow through a CT-scanned fracture using computational fluid dynamics. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 31(11): 897–905.
    Pollard DD. 1976. On the form and stability of open hydraulic fractures in the earth’s crust. Geophysical Research Letters, 3(9): 513-516. doi:  10.1029/GL003i009p00513
    Pruess K. 1998. On water seepage and fast preferential flow in heterogeneous, unsaturated rock fractures. Journal of Contaminant Hydrology, 30(3-4): 333-362. doi:  10.1016/s0169-7722(97)00049-1
    Reza J, Maria K et al. 2018. A multi-scale approach to identify and characterize preferential flow paths in a fractured crystalline rock. Proceedings of the 52nd U. S. Rock Mechanics/Geomechanics Symposium 17-20, Seattle: Washington.
    Su GW, Geller JT, Pruess K et al. 2001. Solute transport along preferential flow paths in unsaturated fractures. Water Resources Research, 37(10): 2481-2491. doi:  10.1029/2000wr000093
    Tuckwell GW, Lonergan L, Jolly RJH. 2003. The control of stress history and flaw distribution on the evolution of polygonal fracture networks. Journal of Structural Geology 25(8): 1241–1250.
    Vu MN, Pouya A, Seyedi DM. 2018. Effective permeability of three-dimensional porous media containing anisotropic distributions of oriented elliptical disc-shaped fractures with uniform aperture. Advances in Water Resources, 118: 1-11. doi:  10.1016/j.advwatres.2018.05.014
    Wang M, Kulatilake PHSW, Um J, et al. 2002. Estimation of REV size and three dimensional hydraulic conductivity tensor for a fractured rock mass through a single well packer test and discrete fracture fluid flow modeling. International Journal of Rock Mechanics and Mining Sciences, 39(7): 887-904. doi:  10.1007/s00603-018-1422-4
    Wang Y, Liu YG, Bian K, et al. 2020. Seepage-heat transfer coupling process of low temperature return water injected into geothermal reservoir in carbonate rocks in Xian County, China. Journal of Groundwater Science and Engineering, 8(4): 305-314. doi:  10.19637/j.cnki.2305-7068.2020.04.001
    Wilson CR, Witherspoon PA. 1976. Flow interference effects at fracture intersections. Water Resources Research, 12(1): 102-104. doi:  10.1029/wr012i001p00102
    Witherspoon PA, Wang JSY, Gale JE. 1980. Validity of cubic law for fluid flow in a deformable rock fracture. Water Resources Research, 16(6): 1016-1024. doi:  10.1029/WR016i006p01016
    Xiong F, Wei W, Xu C, et al. 2020. Experimental and numerical investigation on nonlinear flow behaviour through three dimensional fracture intersections and fracture networks. Computers and Geotechnics, 121, May 103446.
    Zimmerman RW, Al-Yaarubi A, Pain CC, et al. 2004. Non-linear regimes of fuid fow in rock fractures. International Journal of Rock Mechanics and Mining Sciences, 41(1): 1-7. doi:  10.1016/j.ijrmms.2004.03.036
    Zhang Z, Nemcik J, Ma S. 2013. Micro- and macro-behaviour of fluid flow through rock fractures: An experimental study. Hydrogeology Journal, 21(8): 1717-1729. doi:  10.1007/s10040-013-1033-9
  • Relative Articles

    [1] Sun Yu-kun, Liu Feng, Wang Hua-jun, Gao Xin-zhi, 2022: Numerical simulation of operation performance on production and injection of a double well geothermal system in Kailu Basin, Inner Mongolia, Journal of Groundwater Science and Engineering, 10, 196-208.  doi: 10.19637/j.cnki.2305-7068.2022.02.008
    [2] Gao Fei, Liu Feng, Wang Hua-jun, 2021: Numerical modelling of the dynamic process of oil displacement by water in sandstone reservoirs with random pore structures, Journal of Groundwater Science and Engineering, 9, 233-244.  doi: 10.19637/j.cnki.2305-7068.2021.03.006
    [3] LIU Feng, WANG Gui-ling, ZHANG Wei, YUE Chen, TAO Li-bo, 2020: Using TOUGH2 numerical simulation to analyse the geothermal formation in Guide basin, China, Journal of Groundwater Science and Engineering, 8, 328-337.  doi: 10.19637/j.cnki.2305-7068.2020.04.003
    [4] Rasoul Daneshfaraz, Ehsan Aminvash, Reza Esmaeli, Sina Sadeghfam, John Abraham, 2020: Experimental and numerical investigation for energy dissipation of supercritical flow in sudden contractions, Journal of Groundwater Science and Engineering, 8, 396-406.  doi: 10.19637/j.cnki.2305-7068.2020.04.009
    [5] ZHANG Chun-chao, HOU Xin-wei, LI Xiang-quan, WANG Zhen-xing, GUI Chun-lei, ZUO Xue-feng, MA Jian-fei, GAO Ming, 2020: Numerical simulation and environmental impact prediction of karst groundwater in Sangu Spring Basin, China, Journal of Groundwater Science and Engineering, 8, 210-222.  doi: 10.19637/j.cnki.2305-7068.2020.03.002
    [6] Babak Ghazi, Rasoul Daneshfaraz, Esmaeil Jeihouni, 2019: Numerical investigation of hydraulic characteristics and prediction of cavitation number in Shahid Madani Dam's Spillway, Journal of Groundwater Science and Engineering, 7, 323-332.  doi: DOI: 10.19637/j.cnki.2305-7068.2019.04.003
    [7] LI Wen-yon, FU Li, ZHU Zheng-feng, 2019: Numerical simulation and land subsidence control for deep foundation pit dewatering of Longyang Road Station on Shanghai Metro Line 18, Journal of Groundwater Science and Engineering, 7, 133-144.
    [8] XU Jun-xiang, WANG Shao-juan, LI Chang-suo, XING Li-ting, 2019: Numerical analysis and evaluation of groundwater recession in a flood detention basin, Journal of Groundwater Science and Engineering, 7, 253-263.  doi: DOI: 10.19637/j.cnki.2305-7068.2019.03.006
    [9] ZHAN Jiang, LI Wu-jin, LI Zhi-ping, ZHAO Gui-zhang, 2018: Indoor experiment and numerical simulation study of ammonia-nitrogen migration rules in soil column, Journal of Groundwater Science and Engineering, 6, 205-219.  doi: 10.19637/j.cnki.2305-7068.2018.03.006
    [10] LI Lu-lu, SU Chen, HAO Qi-chen, SHAO Jing-li, 2018: Numerical simulation of response of groundwater flow system in inland basin to density changes, Journal of Groundwater Science and Engineering, 6, 7-17.  doi: 10.19637/j.cnki.2305-7068.2018.01.002
    [11] ZHU Heng-hua, JIA Chao, XU Yu-liang, YU Ze-min, YU Wei-jiang, 2018: Study on numerical simulation of organic pollutant transport in groundwater northwest of Laixi, Journal of Groundwater Science and Engineering, 6, 293-305.  doi: 10.19637/j.cnki.2305-7068.2018.04.005
    [12] GUO Chun-yan, CUI Ya-li, LIU Wen-na, CUI Xiang-xiang, FEI Yu-hong, 2018: Research on numerical simulation of the groundwater funnels restoration in Shijiazhuang, Journal of Groundwater Science and Engineering, 6, 126-135.
    [13] LIU Jun-qiu, XIE Xin-min, 2016: Numerical simulation of groundwater and early warnings from the simulated dynamic evolution trend in the plain area of Shenyang, Liaoning Province (P.R. China), Journal of Groundwater Science and Engineering, 4, 367-376.
    [14] CHENG Tang-pei, LIU Xing-wei, SHAO Jing-Li, CUI Ya-li, 2016: Review of the algebraic linear methods and parallel implementation in numerical simulation of groundwater flow, Journal of Groundwater Science and Engineering, 4, 12-17.
    [15] YANG Yun, WU Jian-feng, LIU De-peng, 2015: Numerical modeling of water yield of mine in Yangzhuang Iron Mine, Anhui Province of China, Journal of Groundwater Science and Engineering, 3, 352-362.
    [16] WEI Jia-hua, CHU Hai-bo, WANG Rong, JIANG Yuan, 2015: Numerical simulation of karst groundwater system for discharge prediction and protection design of spring in Fangshan District, Beijing, Journal of Groundwater Science and Engineering, 3, 316-330.
    [17] Ya-feng CHEN, Qiang ZHANG, Shi-jie XIE, 2014: Application of Tracer Experiments to Predict Leakage Channel-An Example of a Power Plant in Zhen'An, Journal of Groundwater Science and Engineering, 2, 49-55.
    [18] LU Chuan, LI Long, LIU Yan-guang, WANG Gui-ling, 2014: Capillary Pressure and Relative Permeability Model Uncertainties in Simulations of Geological CO2 Sequestration, Journal of Groundwater Science and Engineering, 2, 1-17.
    [19] Aizhong Ding, Lirong Cheng, Steve Thornton, Wei Huang, David Lerner, 2013: Groundwater quality Management in China, Journal of Groundwater Science and Engineering, 1, 54-59.
    [20] Zong-jun Gao, Yong-gui Liu, 2013: Groundwater Flow Driven by Heat, Journal of Groundwater Science and Engineering, 1, 22-27.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(7)  / Tables(4)

    Article Metrics

    Article views (266) PDF downloads(27) Cited by()
    Proportional views
    Related

    Welcome to Journal of Groundwater Science and  Engineering!

    Quick Submit

    Online Submission   E-mail Submission

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return