Highlights
-
Thirty groups of aperture fields with different mean and standard deviation values were attained to investigated the effect of channeling flow on the permeability evaluation.
-
The ratio of permeability of elliptical models to that of equivalent rectangular models is proved to be controlled by the salience of channeling flow.
-
A corrected function was proposed to accurately calculate the permeability of elliptical fractures in the triaxial shear-flow experiments.
Data availability
The data are available from the corresponding author on reasonable request.
Change history
09 December 2023
A Correction to this paper has been published: https://doi.org/10.1007/s00603-023-03697-2
References
Ahmad T, Zhang D (2020) A critical review of comparative global historical energy consumption and future demand: the story told so far. Energy Reports 6:1973–1991. https://doi.org/10.1016/j.egyr.2020.07.020
Barton N (1973) Review of a new shear-strength criterion for rock joints. Eng Geol 7(4):287–332. https://doi.org/10.1016/0013-7952(73)90013-6
Bijay KC, Ghazanfari E (2021) Geothermal reservoir stimulation through hydro-shearing: an experimental study under conditions close to enhanced geothermal systems. Geothermics 96:102200. https://doi.org/10.1016/j.geothermics.2021.102200
Brown SR (1987) Fluid flow through rock joints: the effect of surface roughness. J Geophys Res Solid Earth 92(B2):1337–1347. https://doi.org/10.1029/JB092iB02p01337
Brown SR, Scholz CH (1985) Broad bandwidth study of the topography of natural rock surfaces. J Geophys Res Solid Earth 90(B14):12575–12582. https://doi.org/10.1029/JB090iB14p12575
Brush DJ, Thomson NR (2003) Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law assumptions. Water Resour Res 39(4):1085. https://doi.org/10.1029/2002WR001346
Ellabban O, Abu-Rub H, Blaabjerg F (2014) Renewable energy resources: current status, future prospects and their enabling technology. Renew Sustain Energy Rev 39:748–764. https://doi.org/10.1016/j.rser.2014.07.113
Hou J, Cao M, Liu P (2018) Development and utilization of geothermal energy in China: current practices and future strategies. Renew Energy 125:401–412. https://doi.org/10.1016/j.renene.2018.02.115
Huang N, Jiang Y, Liu R, Li B, Zhang Z (2017a) A predictive model of permeability for fractal-based rough rock fractures during shear. Fractals 25(05):1750051. https://doi.org/10.1142/S0218348X17500517
Huang N, Liu R, Jiang Y (2017b) Numerical study of the geometrical and hydraulic characteristics of 3D self-affine rough fractures during shear. J Nat Gas Sci Eng 45:127–142. https://doi.org/10.1016/j.jngse.2017.05.018
Huang N, Jiang Y, Liu R, Xia Y (2018) Size effect on the permeability and shear induced flow anisotropy of fractal rock fractures. Fractals 26(02):1840001. https://doi.org/10.1142/S0218348X18400017
Huang N, Liu R, Jiang Y, Cheng Y, Li B (2019) Shear-flow coupling characteristics of a three-dimensional discrete fracture network-fault model considering stress-induced aperture variations. J Hydrol 571:416–424. https://doi.org/10.1016/j.jhydrol.2019.01.068
Indraratna B, Thirukumaran S, Brown ET, Zhu SP (2015) Modelling the shear behaviour of rock joints with asperity damage under constant normal stiffness. Rock Mech Rock Eng 48(1):179–195. https://doi.org/10.1007/s00603-014-0556-2
Ishibashi T, Elsworth D, Fang Y, Riviere J, Madara B, Asanuma H, Watanabe N, Marone C (2018) Friction-stability-permeability evolution of a fracture in granite. Water Resour Res 54:9901–9918. https://doi.org/10.1029/2018WR022598
Ji Y, Wu W (2020) Injection-driven fracture instability in granite: mechanism and implications. Tectonophysics 791:228572. https://doi.org/10.1016/j.tecto.2020.228572
Ji Y, Zhuang L, Wu W, Hofmann H, Zang A, Zimmermann G (2021) Cyclic water injection potentially mitigates seismic risks by promoting slow and stable slip of a natural fracture in granite. Rock Mech Rock Eng 54:5389–5405. https://doi.org/10.1007/s00603-021-02438-7
Ji Y, Hofmann H, Rutter EH, Xiao F, Yang L (2022a) Revisiting the evaluation of hydraulic transmissivity of elliptical rock fractures in triaxial shear-flow experiments. Rock Mech Rock Eng 55(6):3781–3789. https://doi.org/10.1007/s00603-022-02797-9
Ji Y, Wang L, Hofmann H, Kwiatek G, Dresen G (2022b) High-rate fluid injection reduces the nucleation length of laboratory earthquakes on critically stressed faults in granite. Geophys Res Lett 49:e2022GL100418. https://doi.org/10.1029/2022GL100418
Jia Y, Song C, Liu R (2022) The frictional restrengthening and permeability evolution of slipping shale fractures during seismic cycles. Rock Mech Rock Eng 55(4):1791–1805. https://doi.org/10.1007/s00603-021-02751-1
Laine-Kaulio H, Backnäs S, Karvonen T, Koivusalo H, McDonnell JJ (2014) Lateral subsurface stormflow and solute transport in a forested hillslope: a combined measurement and modeling approach. Water Resour Res 50(10):8159–8178. https://doi.org/10.1002/2014WR015381
Li B, Cui X, Zou L, Cvetkovic V (2021) On the relationship between normal stiffness and permeability of rock fractures. Geophys Res Lett 48:e2021GL095593. https://doi.org/10.1029/2021GL095593
Liu HH, Bodvarsson GS, Lu S, Molz FJ (2004) A corrected and generalized successive random additions algorithm for simulating fractional Levy motions. Math Geol 36(3):361–378. https://doi.org/10.1023/B:MATG.0000028442.71929.26
Liu R, Li B, Jiang Y, Huang N (2016) Mathematical expressions for estimating equivalent permeability of rock fracture networks. Hydrogeol J 24(7):1623–1649. https://doi.org/10.1007/s10040-016-1441-8
Liu R, Huang N, Jiang Y, Jing H, Yu L (2020) A numerical study of shear-induced evolutions of geometric and hydraulic properties of self-affine rough-walled rock fractures. Int J Rock Mech Min Sci 127:104211. https://doi.org/10.1016/j.ijrmms.2020.104211
Liu Y, Zhang Y, Xie L, Zhao S, Dai L, Zhang Z (2021) Effect of soil characteristics on preferential flow of Phragmites australis community in Yellow River delta. Ecol Indic 125:107486. https://doi.org/10.1016/j.ecolind.2021.107486
Lv Y, Yuan C, Zhu X, Gan Q, Li H (2022) THMD analysis of fluid injection-induced fault reactivation and slip in EGS. Geothermics 99:102303. https://doi.org/10.1016/j.geothermics.2021.102303
Méheust Y, Schmittbuhl J (2000) Flow enhancement of a rough fracture. Geophys Res Lett 27(18):2989–2992. https://doi.org/10.1029/1999GL008464
Molz FJ, Liu HH, Szulga J (1997) Fractional Brownian motion and fractional Gaussian noise in subsurface hydrology: a review, presentation of fundamental properties, and extensions. Water Resourc Res 33(10):2273–2286. https://doi.org/10.1029/97WR01982
Nemoto K, Moriya H, Niitsuma H, Tsuchiya N (2008) Mechanical and hydraulic coupling of injection-induced slip along pre-existing fractures. Geothermics 37(2):157–172. https://doi.org/10.1016/j.geothermics.2007.11.001
Olasolo P, Juárez MC, Morales MP, Liarte IA (2016) Enhanced geothermal systems (EGS): a review. Renew Sustain Energy Rev 56:133–144. https://doi.org/10.1016/j.rser.2015.11.031
Passelègue FX, Brantut N, Mitchell TM (2018) Fault reactivation by fluid injection: controls from stress state and injection rate. Geophys Res Lett 45:12837–12846. https://doi.org/10.1029/2018GL080470
Rutter EH, Mecklenburgh J (2017) Hydraulic conductivity of bedding-parallel cracks in shale as a function of shear and normal stress. Geol Soc Lond Spec Publ 454(1):67–84. https://doi.org/10.1144/SP454.9
Rutter EH, Mecklenburgh J (2018) Influence of normal and shear stress on the hydraulic transmissivity of thin cracks in a tight quartz sandstone, a granite, and a shale. J Geophys Res Solid Earth 123(2):1262–1285. https://doi.org/10.1002/2017JB014858
Sundaram PN, Frink D (1982) Electrical analogy of hydraulic flow through rock fractures. Lawrence Berkeley National Laboratory. LBNL Report #: LBL-14474. https://escholarship.org/uc/item/91j7x8xx
Tsang YW (1984) The effect of tortuosity on fluid flow through a single fracture. Water Resour Res 20(9):1209–1215. https://doi.org/10.1029/WR020i009p01209
Wang M, Chen YF, Ma GW, Zhou JQ, Zhou CB (2016) Influence of surface roughness on nonlinear flow behaviors in 3D self-affine rough fractures: Lattice Boltzmann simulations. Adv Water Resour 96:373–388. https://doi.org/10.1016/j.advwatres.2016.08.006
Wang L, Kwiatek G, Rybacki E, Bohnhoff M, Dresen G (2020a) Injection-induced seismic moment release and laboratory fault slip: Implications for fluid-induced seismicity. Geophys Res Lett 47:e2020GL089576
Wang L, Kwiatek G, Rybacki E, Bonnelye A, Bohnhoff M, Dresen G (2020b) Laboratory study on fluid-induced fault slip behavior: the role of fluid pressurization rate. Geophys Res Lett 47:e2019GL086627
Wang X, Gao Q, Li X, Liu D (2021) Laboratory study on the effect of fluid pressurization rate on fracture instability. Geofluids 2021:6084032. https://doi.org/10.1155/2021/6084032
Wanniarachchi WAM, Ranjith PG, Perera MSA, Rathnaweera TD, Zhang C, Zhang DC (2018) An integrated approach to simulate fracture permeability and flow characteristics using regenerated rock fracture from 3-D scanning: a numerical study. J Nat Gas Sci Eng 53:249–262. https://doi.org/10.1016/j.jngse.2018.02.033
Witherspoon PA, Wang JS, Iwai K, Gale JE (1980) Validity of cubic law for fluid flow in a deformable rock fracture. Water Resour Res 16(6):1016–1024. https://doi.org/10.1029/WR016i006p01016
Ye Z, Ghassemi A (2018) Injection-induced shear slip and permeability enhancement in granite fractures. J Geophys Res Solid Earth 123:9009–9032. https://doi.org/10.1029/2018JB016045
Ye Z, Liu HH, Jiang Q, Zhou C (2015) Two-phase flow properties of a horizontal fracture: The effect of aperture distribution. Adv Water Resour 76:43–54. https://doi.org/10.1016/j.advwatres.2014.12.001
Acknowledgments
This study has been partially funded by The National Key Research and Development Program of China, China (Grant No. 2022YFE0128300), Natural Science Foundation of China, China (Grant Nos. 52379113, 51979272), the Science and Technology Project of Jiangsu Provincial Science and Technology Department (Grant No. BK20220025) and Graduate Innovation Program of China University of Mining and Technology, China (Grant No. 2023WLJCRCZL059), Postgraduate Research & Practice Innovation Program of Jiangsu Province, China. These supports are gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
The original online version of this article was revised: the incorrect highlights has been corrected.
Rights and permissions
About this article
Cite this article
Zhu, X., Liu, R., Li, W. et al. Correcting the Permeability Evaluation of Elliptical Rock Fractures in Triaxial Shear-Flow Experiments Considering Channeling Flow. Rock Mech Rock Eng 57, 1509–1523 (2024). https://doi.org/10.1007/s00603-023-03601-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-023-03601-y