矿山岩体破坏突水非达西流模型及数值求解

doi:10.13722/j.cnki.jrme.2015.0389

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Abstract In order to simulate the complete process of water-inrush and to reveal the mechanism of water-inrush in mines，two principal properties of water-inrush such as the high-speed non-Darcy flow and the unity of dynamic flow field were considered. A non-Darcy flow model for water-inrush in mines was established based on the conservation of mass and the pressure equilibrium. The corresponding model with the coupled relation of Darcy，Forchheimer and Navier-Stokes equations established the connection of water source in aquifer，water-inrush channel and the exit of tunnel in a uniform flow field. A numerical model was developed based on the coupled integral equations between the week form of the finite element method and the finite volume method. Using the software of Finite element program generator(FEPG)，the FORTRAN source programs were compiled and applied to simulate the complete flowing process of water-inrush. By comparison of the results for Darcy and non-Darcy flow models，the necessity of adopting non-Darcy model for water-inrush in mines was explained. It was also found that the fractured rock mass was the channel connecting the confined aquifer and tunnel. The inertia effect of the high-speed flow in the channel was the main cause leading to the water-inrush through the fractured rock mass.

Key words： rock mechanics fractured rock mass non-Darcy flow finite volume method(FVM) Forchheimer equation

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2015.0389 OR http://www.rockmech.org/EN/Y2016/V35/I3/446

[14]	MOUTSOPOULOS K N，TSIHRINTZIS V A. Approximate analytical solutions of the Forchheimer equation[J]. Journal of Hydrology，2005，309(1/4)：93–103. " target="_blank">
[8]	CHERUBINI C，GIASI C I，PASTORE N. Bench scale laboratory tests to analyze non-linear flow in fractured media[J]. Hydrology and Earth System Sciences，2012，16(8)：2 511–2 522. " target="_blank">
[9]	MA H D，RUTH D W. The microscopic analysis of high Forchheimer number flow in porous media[J]. Transport in Porous Media，1993，13(2)：139–160. " target="_blank">
[10]	黄先伍，唐平，缪协兴，等. 破碎砂岩渗透特性与孔隙率关系的试验研究[J]. 岩土力学，2005，26(9)：1 385–1 388.(HUANG Xianwu，TANG Ping，MIAO Xiexing，et al. Testing study on seepage properties of broken sandstone[J]. Rock and Soil Mechanics，2005，26(9)：1 385–1 388.(in Chinese))
[12]	ERGUN S. Fluid flow through packed columns[J]. Chemical Engineering Progress，1952，48(2)：89–94. " target="_blank">
[13]	WU Y S. Non-Darcy displacement of immiscibe fluids in porous media[J]. Water Resources Research，2001，37(12)：2 943–2 950. " target="_blank">
[6]	SEDGHI-ASL M，RAHIMI H，SALEHI R. Non-Darcy flow of water through a packed column test[J]. Transport in Porous Media，2014，101(2)：215–227. " target="_blank">
[7]	李顺才，缪协兴，陈占清，等. 承压破碎岩石非Darcy渗流的渗透特性试验研究[J]. 工程力学，2008，25(4)：85–92.(LI Shuncai，MIAO Xiexing，CHEN Zhanqing，et al. Experimental study on seepage properties of non-Darcy flow in confined broken rocks[J]. Engineering Mechanics，2008，25(4)：85–92.(in Chinese))
[11]	许凯，雷学文，孟庆山，等. 非达西渗流惯性系数研究[J]. 岩石力学与工程学报，2012，31(1)：164–170.(XU Kai，LEI Xuewen，MENG Qingshan，et al. Study of inertial coefficient of non-Darcy seepage flow[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(1)：164–170.(in Chinese))
[17]	BASAK P. Non-penetrating well in a semi-infinite medium with non-linear flow[J]. Journal of Hydrology，1977，33(3/4)：375–382. " target="_blank">
[19]	王媛，秦峰，夏志皓，等. 深埋隧洞涌水预测非达西流模型及数值模拟[J]. 岩石力学与工程学报，2012，31(9)：1 862–1 868. (WANG Yuan，QIN Feng，XIA Zhihao，et al. Non-Darcy flow model and numerical simulation for predicting water inflow in deep tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(9)：1 862–1 868.(in Chinese))
[22]	THAUVIN F，MOHANTY K K. Network modeling of non-Darcy flow through porous media[J]. Transport in Porous Media，1998，31(1)：19–37. " target="_blank">
[26]	许学汉，王杰. 煤矿突水预报研究[M]. 北京：地质出版社，1991：17–24.(XU Xuehan，WANG Jie. Prediction research on water inrush in coal mine[M]. Beijing：Geological Publishing House，1991：17–24.(in Chinese)) " target="_blank">
[27]	杨天鸿，唐春安，谭志宏，等. 岩体破坏突水模型研究现状及突水预测预报研究发展趋势[J]. 岩石力学与工程学报，2007，26(2)：268–277.(YANG Tianhong，TANG Chun?an，TAN Zhihong，et al. Research situation of rock mass groundwater outbursts model and forecast and its developing trend[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(2)：268–277.(in Chinese))
[15]	HANSEN D，GARGA V K，TOWNSEND D R. Selection and application of a one-dimensional non-Darcy flow equation for two-dimensional flow through rockfill embankments[J]. Canadian Geotechnical Journal，1995，32(2)：223–232. " target="_blank">
[16]	PANTHULU T V，KRISHNAIAH C，SHIRKE J M. Detection of seepage paths in earth dams using self-potential and electrical resistivity methods[J]. Engineering Geology，2001，59(3/4)：281–295. " target="_blank">
[18]	WANG Q，ZHAN H，TANG Z. Forchheimer flow to a well-considering time-dependent critical radius[J]. Hydrology and Earth System Sciences，2014，18(6)：2 437–2 448. " target="_blank">
[20]	周玉新，周志芳. 矿山排土场非线性渗流数值计算[J]. 岩石力学与工程学报，2004，23(13)：2 215–2 219.(ZHOU Yuxin，ZHOU Zhifang. Numerical computation of nonlinear seepage for mine waste dump[J]. Chinese Journal of Rock Mechanics and Engineering，2004， 23(13)：2 215–2 219.(in Chinese))
[21]	SKJETNE E. High velocity flow in porous media；analytical，numerical and experimental studies[Ph. D. Thesis][D]. Trondheim：Norwegian University of Sciences and Technology，1995. " target="_blank">
[23]	缪协兴，陈占清，茅献彪，等. 峰后岩石非Darcy渗流的分岔行为研究[J]. 力学学报，2003，35(6)：660–667.(MIAO Xiexing，CHEN Zhanqing，MAO Xianbiao，et al. The bifurcation of non-Darcy flow in post-failure rock[J]. Acta Mechanica Sinica，2003，35(6)：660–667. (in Chinese)) " target="_blank">
[24]	胡大伟，周辉，谢守益，等. 峰后大理岩非线性渗流特征及机制研究[J]. 岩石力学与工程学报，2009，28(3)：451–458.(HU Dawei，ZHOU Hui，XIE Shouyi，et al. Research on character and mechanism of nonlinear seepage in post-peak marble[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(3)：451–458.(in Chinese))
[25]	杨天鸿，陈仕阔，朱万成，等. 矿井岩体破坏突水机制及非线性渗流模型初探[J]. 岩石力学与工程学报，2008，27(7)：1 411–1 416. (YANG Tianhong，CHEN Shikuo，ZHU Wancheng，et al. Water inrush mechanism in mines and nonlinear flow model for fractured rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(7)：1 411–1 416.(in Chinese)) " target="_blank">
[28]	孔祥言. 高等渗流力学[M]. 合肥：中国科学技术大学出版社， 1999：41–68.(KONG Xiangyan. Advanced mechanics of fluid in porous media[M]. Hefei：Press of China University of Science and Technolog，1999：41–68.(in Chinese)) " target="_blank">
[29]	白冰，李小春. FEPG有限元应用深入剖析[M]. 北京：清华大学出版社，2011：70–79.(BAI Bing，LI Xiaochun. In-depth analysis of finite element application with FEPG[M]. Beijing：Tsinghua University Press，2011：70–79.(in Chinese)) " target="_blank">
[30]	ANGERMAN L. Error analysis of upwind-discretizations for the steady-state incompressible Navier-Stokes equations[J]. Advances in Computational Mathematics，2000，13(2)：167–198.
[2]	仵彦卿，张倬元. 岩体水力学导论[M]. 成都：西南交通大学出版社，1995：3–16.(WU Yanqing，ZHANG Zhuoyuan. Introduction to rock mass hydraulics[M]. Chengdu：Southwest Jiaotong University Press，1995：3–16.(in Chinese)) " target="_blank">
[3]	程宜康，陈占清，缪协兴，等. 峰后砂岩非Darcy流渗透特性的试验研究[J]. 岩石力学与工程学报，2004，23(12)：2 005–2 009. (CHENG Yikang，CHEN Zhanqing，MIAO Xiexing，et al. Testing study on permeability of non-Darcy flow in post-peak sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(12)：2 005–2 009.(in Chinese)) " target="_blank">
[4]	LI T，MEI T T，SUN X H，et al. A study on a water-inrush incident at Laohutai coalmine[J]. International Journal of Rock Mechanics and Mining Sciences，2013，59(4)：151–159. " target="_blank">
[1]	施龙青，韩进. 底板突水机制及预测预报[M]. 徐州：中国矿业大学出版社，2004：27–35.(SHI Longqing，HAN Jin. Floor water-inrush mechanism and prediction[M]. Xuzhou：China University of Mining and Technology Press，2004：27–35.(in Chinese)) " target="_blank">
[5]	LI B J，GARGA V K，DAVIES M H. Relationships for no-Darcy flow in rockfill[J]. Journal of Hydraulic Engineering，1998，124(2)：206–212. " target="_blank">