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| Study on non-Darcy seepage characteristic and model of the broken rock mass of fault zone |
| XU Zengguang,CAO Cheng,CHAI Junrui,LI Yanlong,LI Linna |
| (State Key Laboratory of Eco-hydraulics in Northwest Arid Region,Xi?an University of Technology,Xi?an,Shaanxi 710048,China) |
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Abstract Non-Darcy seepage experiments of broken rock mass were carried out under high hydraulic gradient. The influence mechanism of non-Darcy flow characteristic and critical hydraulic gradient was revealed with different porosity and gradation of rock mass sample. Considering the influence of the porosity and Talbot gradation coefficient,the calculation models of the non-Darcy flow coefficient,linear and non-linear term coefficients of Forchheimer?s law were established. By piecewise analyzing the relation curve of pressure gradient and flow rate with Darcy?s law,the non-Darcy equivalent hydraulic conductivity was proposed,and the non-Darcy equivalent seepage model was established. The results show that the experimental data were highly compliant with Forchheimer?s law. The critical hydraulic gradient was changed from 125 to 183. Because the influence of inertia force, the critical hydraulic gradient was reduced with increased porosity and the number of coarse particle of rock mass sample. The non-Darcy flow coefficient,linear and non-linear term coefficients of Forchheimer?s law have negative exponential with porosity and reduced power relationship with Talbot gradation coefficient. The non-Darcy equivalent hydraulic conductivity have negative exponential relationship with hydraulic gradient and decided by the pore structure of rock mass sample. The established non-Darcy equivalent seepage model was highly agreement with Forchheimer?s law. The established model possessed fewer calculation parameters and could adapt to the coexistence and interconversion between Darcy flow and non-Darcy flow.
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[1] 赵阳升. 岩体力学发展的一些回顾与若干未解之百年问题[J]. 岩石力学与工程学报,2021,40(7):1 297–1 336.(ZHAO Yangsheng. Retrospection on the development of rock mass mechanics and the summary of some unsolved centennial problems[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(7):1 297–1 336.(in Chinese))
[2] KRIVITSKIY P Y,LARIONOVA N V,SUBBOTIN M S B,et al. Peculiarities of radioactive soil contamination in places of underground nuclear tests in the Semipalatinsk test site[J]. Journal of Environmental Radioactivity,2022,253/254:106 991.
[3] 贾荔丹,李波波,李建华,等. 采气–采煤阶段煤岩渗透率演化机制研究[J]. 岩石力学与工程学报,2022,41(1):132–146.(JIA Lidan,LI Bobo,LI Jianhua,et al. Study on the evolution mechanism of coal permeability during gas production and coal mining[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(1):132–146.(in Chinese))
[4] 李 舒,师鹏飞,谷晓伟,等. GRACE重力卫星监测煤矿开采区地下水变化研究[J]. 水利学报,2021,52(12):1 439–1 448.(LI Shu,SHI Pengfei,GU Xiaowei,et al. GRACE-based monitoring groundwater change in coal mining areas[J]. Journal of Hydraulic Engineering,2021,52(12):1 439–1 448.(in Chinese))
[5] ALAFNAN S. Utilization of depleted heavy oil reservoirs for carbon dioxide storage and sequestration:A molecular level assessment[J]. International Journal of Greenhouse Gas Control,2022,119:103 741.
[6] ESSA K S,GÉRAUD Y,DIRAISON M. Fault parameters assessment from the gravity data profiles applying the global particle swarm optimization[J]. Journal of Petroleum Science and Engineering,2021,207:109 129.
[7] WANG H,SHI R,SONG J,et al. Mechanical model for the calculation of stress distribution on fault surface during the underground coal seam mining[J]. International Journal of Rock Mechanics and Mining Sciences,2021,144:104 765.
[8] LUO M,CHEN J,JAKADA H,et al. Identifying and predicting karst water inrush in a deep tunnel,South China[J]. Engineering Geology,2022,305:106 716.
[9] 李利平,贾 超,孙子正,等. 深部重大工程灾害监测与防控技术研究现状及发展趋势[J]. 中南大学学报:自然科学版,2021,52(8):2 539–2 556.(LI Liping,JIA Chao,SUN Zizheng,et al. Research status and development trend of major engineering disaster prevention and control technology in deep underground[J]. Journal of Central South University:Science and Technology,2021,52(8):2 539– 2 556.(in Chinese))
[10] 黄昌富,张帅龙,高永涛,等. 基于Talbot理论的断层破碎凝灰岩三轴渗透特性试验[J]. 中南大学学报:自然科学版,2022,53(8):3 092–3 103.(HUANG Changfu,ZHANG Shuailong,GAO Yongtao,et al. Triaxial permeability test of fault fractured tuff based on Talbot theory[J]. Journal of Central South University:Science and Technology,2022,53(8):3 092–3 103.(in Chinese))
[11] CAO C,XU Z,CHAI J,et al. Radial fluid flow regime in a single fracture under high hydraulic pressure during shear process[J]. Journal of Hydrology,2019,579:124 142.
[12] 郭保华,程 坦,陈 岩,等. 大理岩裂隙渗流特性及充填砂土影响[J]. 水利学报,2019,50(4):463–474.(GUO Baohua,CHENG Tan,CHEN Yan,et al. Seepage characteristic of marble fracture and effect of filling sands[J]. Journal of Hydraulic Engineering,2019,50(4):463–474.(in Chinese))
[13] 马 丹,段宏宇,张吉雄,等. 断层破碎带岩体突水灾害的蠕变﹣冲蚀耦合力学特性试验研究[J]. 岩石力学与工程学报,2021,40(9):1 751–1 763.(MA Dan,DUAN Hongyu,ZHANG Jixiong,et al. Experimental investigation of creep-erosion coupling mechanical properties of water inrush hazards in fault fracture rock masses[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(9):1 751–1 763.(in Chinese))
[14] 马 丹,白海波,陈占清,等. 侧限压缩下破碎矸石混合粒径非Darcy流渗透特性[J]. 采矿与安全工程学报,2016,33(4):747–753.(MA Dan,BAI Haibo,CHEN Zhanqing,et al. Non-Darcy seepage properties of mixture particles of crushed gangue under confined compression[J]. Journal of Mining and Safety Engineering,2016,33(4):747–753.(in Chinese))
[15] MACINI P,EZIO M,VIOLA R. Laboratory measurements of non-Darcy flow coefficients in natural and artificial unconsolidated porous media[J]. Journal of Petroleum Science and Engineering,2011,77(3/4):365–374.
[16] EL-ZEHAIRY A A,MOUSAVI NEZHAD M,JOEKAR-NIASAR V,et al. Pore-network modelling of non-Darcy flow through heterogeneous porous media[J]. Advances in Water Resources,2019,131:103 378.
[17] 于小军,马青海,杨天鸿,等. 断层物质级配特征对渗流状态和非Darcy渗流参数影响研究[J]. 勘察科学技术,2018,(5):15–21.(YU Xiaojun,MA Qinghai,YANG Tianhong,et al. Study on influence to seepage state and non-darcy seepage parameters by graduation characteristics of fault material[J]. Site Investigation Science and Technology,2018,(5):15–21.(in Chinese))
[18] 师文豪,杨天鸿,刘洪磊,等. 矿山岩体破坏突水非达西流模型及数值求解[J]. 岩石力学与工程学报,2016,35(5):446–455.(SHI Wenhao,YANG Tianhong,LIU Honglei,et al. Non-Darcy flow model and numerical simulation for water-inrush in fractured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(5):446–455.(in Chinese))
[19] 甘 磊,马洪影,沈振中. 下凹形态裂隙面粗糙程度表征及立方定律修正系数拟合[J]. 水利学报,2021,52(4):420–431.(GAN Lei,MA Hongying,SHEN Zhenzhong. Roughness characterization of concave fracture surface and coefficient fitting of modified cubic law[J]. Journal of Hydraulic Engineering,2021,52(4):420–431.(in Chinese))
[20] SHAH Z,ROOMAN M,JAN M A,et al. Radiative Darcy-Forchheimer Micropler Bödewadt flow of CNTs with viscous dissipation effect[J]. Journal of Petroleum Science and Engineering,2022,217:110 857.
[21] MA Z,WANG W,ZHAO M,et al. Non-Darcy flow through a natural streambed in a disconnected stream[J]. Water Resources Research,2022,58(3):e2021WR031356.
[22] ASTM. C192/C192M-13a Standard practice for making and curing concrete test specimens in the laboratory[S]. West Conshohochen,PA:ASTM International,2013.
[23] LEE H,LEE J,OH T. Permeability evaluation for artificial single rock fracture according to geometric aperture variation using electrical resistivity[J]. Journal of Rock Mechanics and Geotechnical Engineering,2021,13(4):787–797.
[24] LIU W,ZHOU Y,CHU X,et al. Effects of seepage behaviors on coal spontaneous combustion in longwall gobs:an investigation between Darcy and non-Darcy seepage[J]. Fuel,2022,322:124 126.
[25] ZHANG X Y,DOU Z,WANG J G,et al. Non-Darcy flows in layered porous media(LPMs) with contrasting pore space structures[J]. Petroleum Science,2022,19(5):2 004–2 013.
[26] MOGHIMI H,SIAVASHI M,NEZHAD M M,et al. Pore-scale computational analyses of non-Darcy flow through highly porous structures with various degrees of geometrical complexity[J]. Sustainable Energy Technologies and Assessments,2022,52(Part B):102 048.
[27] 李仲夏. 孔隙介质渗流阻力实验及数值模拟研究[博士学位论文][D]. 武汉:中国地质大学,2020.(LI Zongxia. The experimental and numerical simulation study of seepage resistance in porous media[PH. D. Thesis][D]. Wuhan:China University of Geosciences,2020.(in Chinese))
[28] MOUTSOPOULOS K N,PAPASPYROS J,TSIHRINTZIS V A. Experimental investigation of inertial flow processes in porous media[J]. Journal of Hydrology,2009,374(3/4):242–254.
[29] MOHAMMAD S,SALEHI S. Non-darcy flow of water through a packed column test[J]. Transport in Porous Media,2014,101:215–227. |
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