nach oben

Hydrogeology Journal

Erschienen in:

01.11.2013 | Report

Permeability tensor and representative elementary volume of fractured rock masses

verfasst von: Guan Rong, Jun Peng, Xiaojiang Wang, Guang Liu, Di Hou

Erschienen in: Hydrogeology Journal | Ausgabe 7/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Based on a simulation of three-dimensional fracture networks and a superposition principle of liquid dissipation energy for fractured rock masses, a model of the fracture permeability tensor is proposed. An elastic constitutive model of rock fractures, considering fracture closure and dilation during shearing, is also proposed, based on the dilation angle of the fracture. Algorithms of flow-path searching and calculation of the effective flow coefficients for fracture networks are presented, together with a discussion on the influence of geometric parameters of the fractures (trace length, spacing, aperture, orientation and the number of fracture sets) on magnitude, anisotropy of hydraulic permeability and the size of a representative elementary volume (REV). The anisotropy of hydraulic permeability of fractured rock masses is mainly affected by orientation and the number of fracture sets, and the REV size is mainly influenced by trace length, spacing and the number of fracture sets. The results of studies on REV size and the influence of in-situ stress on hydraulic conductivity of the rock mass on the slope of Jinping-I hydropower station, China, are presented using the developed models and methods. The simulation results agreed well with the results obtained from field water-pressure measurements, with an error of less than 10 %.

Vorheriger Artikel Hydrogeological impacts of a railway tunnel in fractured Precambrian gneiss rocks (south-eastern Norway)

Nächster Artikel How important is the impact of land-surface inundation on seawater intrusion caused by sea-level rise?

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Nur mit Berechtigung zugänglich

Ababou R, Valera IC, Poutrel A (2011) Macro-permeability distribution and anisotropy in a 3D fissured and fractured clay rock: ‘excavation damaged zone’ around a cylindrical drift in Callovo-Oxfordian Argilite (Bure). Phys Chem Earth 36:1932–1948CrossRef

Baecher GB, Lanney NA, Einstein HH (1977) Statistical description of rock properties and sampling. The 18th US Symposium on Rock Mechanics, June 1977, Golden, CO, AIME, Englewood, CO, vol 5C1, pp 1–8

Baghbanan A, Jing LR (2007) Hydraulic properties of fractured rock masses with correlated fracture length and aperture. Int J Rock Mech Min Sci 44:704–719CrossRef

Barton N (1976) Rock mechanics review: the shear strength of rock and rock joints. Int J Rock Mech Min Sci 13(9):255–279CrossRef

Bear J (1972) Dynamics in porous media. Elsevier, New York

Blum P, Mackay R, Riley MS, Knight JL (2007) Hydraulic modelling and the evaluation of the representative elementary volume (REV) in fractured rock (in French). Z Fachsektion Hydrogeol 12:48–65

Bour O, Davy P (1997) Connectivity of random fault networks following a power-law length distribution. Water Resour Res 33:1567–1583CrossRef

Bruhnl RL, Bering D, Bereskin SR, Magnus C, Fritsen A (1997) Field observations and analytical modeling of fracture network permeability in hydrocarbon reseroirs. Int J Rock Mech Min Sci 34:3–4CrossRef

Cacas MC, Ledoux E, de Marsily B, Tille B, Barbreau A, Durand E, Feuga B, Peaudecerf P (1990) Modeling fracture flow with a stochastic discrete fracture network: calibration and validation—1. the flow model. Water Resour Res 26(3):479–489

Chen JP (2001) 3D net work numerical modeling technique for random discontinuities of rock mass (in Chinese). Chin J Geotech Eng 23(4):397–402

Chen SH, Feng XM, Isam S (2008) Numerical estimation of REV and permeability tensor for fractured rock masses by composite element method. Int J Numer Anal Meth Geomech 32:1459–1477CrossRef

Chen YF, Hu R, Zhou CB, Li DQ, Rong G (2011) A new parabolic variational inequality formulation of Signorini’s condition for non-steady seepage problems with complex seepage control systems. Int J Numer Anal Methods Geomech 35(9):1034–1058CrossRef

Chesnaux R, Allen DM, Jenni S (2009) Regional fracture network permeability using outcrop scale measurements. Eng Geol 108:259–271CrossRef

CHIDI (Hydrochina Chengdu Engineering Corporation) (2007) Report of selecting dam site for Jinping first stage hydropower station, 4 Engineering geological condition (in Chinese). CHIDI, Chengdu, China

Clemo TM, Smith L (1989) Solute transport in fractured media: dual permeability models. EOS Trans Am Geophys Union 70

Coli N, Pranzini G, Alfi A, Boerio V (2008) Evaluation of rock-mass permeability tensor and prediction of tunnel inflows by means of geostructural surveys and finite element seepage analysis. Eng Geol 101:174–184CrossRef

De Dreuzy J, Davy P, Bour O (2001) Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. effective connectivity. Water Resour Res 37(8):121–129

Doolin DM, Mauldon M (2001) Fracture hydraulic conductivity normal to bedding in layered rock masses. Int J Rock Mech Min Sci 38:199–210CrossRef

Dverstorp B (1991) Analyzing flow and transport in fractured rock using the discrete network concept. Hydraulic Engineering, Royal Institute of Technology, Stockholm

Ferrandon J (1948) Les lois de l’ecoulement de filtration [The laws of flow filtration]. Genie Civ 125(2):24–28

Gale JE, McLeod R, Gutierrez M, Dacker L, Makurat A (1993) Integration and analysis of coupled stress-flow: laboratory tests data on natural fractures—MUN and NGI tests. Reports submitted to Atomic Energy of Canada Limited by Fracflow Consultants, Dartmouth, NS and Norwegian Geotechnical Institute, Oslo

Hsieh PA, Neuman SP (1985) Field determination of three-dimensional hydraulic conductivity tensor of anisotropic media: 1, theory. Water Resour Res 21:1655–1665CrossRef

Ji W (2005) Study on equivalent characteristic and numerical simulation of seepage in fractured rock (in Chinese). Hohai University, Nanjing, China

Jourde H, Pistre S, Bidaux P (2002a) Flow behavior in a dual fracture network. J Hydrol 266:99–119CrossRef

Jourde H, Aydin A, Durlofski L (2002b) Upscaling permeability of fault zones in porous sandstone: from field measurement to numerical modelling. AAPG Bull 86(7):1187–1200

Jourde H, Fenart P, Vinches M, Pistre S, Vayssade B (2007) Relationship between the geometrical and structural properties of layered fractured rocks and their effective permeability tensor: a simulation study. J Hydrol 337:117–132CrossRef

Kulatilake PHS, Wu TH (1984) Estimation of mean trace length of discontinuities. Rock Mech Rock Eng 17(4):215–232

Lee CH, Deng BW, Chang JL (1995) A continuum approach for estimating permeability in naturally fractured rocks. Eng Geol 39:71–85CrossRef

Lee SH, Lough MF, Jensen CL (2001) Hierarchical modeling of flow in naturally fractured formations with multiple length scales. Water Resour Res 37(3):443–455CrossRef

Li P, Lu WX, Long YQ, Yang ZP, Li J (2008) Seepage analysis in a fractured rock mass: the upper reservoir of Pushihe pumped-storage power station in China. Eng Geol 97:53–62CrossRef

Long JCS, Remer JS, Wilson CR, Witherspoon PA (1982) Porous media equivalents for networks of discontinuous fractures. Water Resour Res 18(3):645–658CrossRef

Long JCS, Witherspoon PA (1985) The relationship of the degree of interconnection to hydraulic conductivity in fracture networks. J Geophys Res 90(B4):3087–3098CrossRef

Louis C (1974) Rock hydraulics in rock mechanics. Wien, New York

Min KB, Rutqvist J, Tsang CF, Jing L (2004) Stress-dependent permeability of fractured rock masses: a numerical study. Int J Rock Mech Min Sci 41(7):1191–1210CrossRef

Mauldon M (1998) Estimating mean fracture trace length and density from observations in convex windows. Rock Mech Rock Eng 31(4):201–216CrossRef

NDRC (National Development and Reform Commission) (2005) Code of water pressure test in borehole for hydropower and water resources engineering. DL/T 5331–2005, NDRC, Beijing

Oda M (1985) Permeability tensor for discontinuous rock masses. Geotechnique 35(4):483–495CrossRef

Oda M (1986) An equivalent continuum model for coupled stress and fluid flow analysis in jointed rock masses. Water Resource Res 22(13):1845–1856CrossRef

Oda M, Hatsuyama Y, Ohnishi Y (1987) Numerical experiments on permeability tensor and its application to jointed granite at Stripa Mine. Sweden Geophys Res 92(B8):8037–8048CrossRef

Oda M, Takemura T, Aoki T (2002) Damage growth and permeability change in triaxial compression tests of Inada granite. Mech Mater 34:313–331CrossRef

Pickup GE, Ringrose PS, Jensen JL, Sorbie KS (1994) Permeability tensors for sedimentary structures. Math Geol 26(2)

Priest SD, Hudson JA (1981) Estimation of discontinuity spacing and trace length using scanline surveys. Int J Rock Mech Min Sci Geomech Abstr 18:183–197CrossRef

Romm ES (1966) Fluid flow through fracture network (in Russian). Nedra, Moscow, 104 pp

Sagar B, Runchal A (1982) Hydraulic conductivity of fractured rock: effect of fracture size and data uncertainties. Water Resour Res 18(2):266–274CrossRef

Shao JF, Zhou H, Chau KT (2005) Coupling between anisotropic damage and permeability variation in brittle rocks. Int J Numer Anal Meth Geomech 29:1231–1247CrossRef

Shapiro SA, Audigane P, Royer J (1999) Large-scale in situ permeability tensor of rocks from induced microseismicity. Geophys J Int 137:207–213

Snow DT (1965) A parallel plate model of fractured permeable media. University of Cal, Berkeley, CA

Snow DT (1969) Anisotropic permeability of fractured media. Water Resource Res 5(6):1273–1289CrossRef

Song XC (2004) Study on discontinuum numerical models for flow in fractured rock and its engineering applications (in Chinese). Hohai University, Nanjing, China

Sun GZ (1988) Structural mechanics of rock masses (in Chinese). Science, Beijing

Tian KM, Wan L (1989) Research and evaluation on permeability of anisotropic fractured rock masses (in Chinese). Xueyuan Press, Beijing

Tian KM, Wan L, Tian JP (2003) Anisotropic variation law of rock permeability with the burial depth of limestone. Acta Geol Sin 77(1):125–128

Tivadar MT, István V (2011) Relationship between the geometric parameters of rock fractures, the size of percolation clusters and REV. Math Geosci 43:75–97CrossRef

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. Int J Rock Mech Min Sci 39(7):887–904CrossRef

Wen XH, Kung CS, Cvetkovic V (1991) The inference of geological structure on the radionuclide mass arrival at Finnsjön. Paper presented at the International Conference on Modeling Groundwater Flow and Pollution. International Association of Hydrological Sciences, Nanjing, China

Zhang FM, Zhou ZF, Huang YQ, Chen ZY (2004) Determing the permeability of fractured rocks based on joint mapping. Ground Water 42(4):509–515CrossRef

Zhang J, Standifird WB, Roegiers JC, Zhang Y (2007) Stress-dependent fluid flow and permeability in fractured media: from lab experiments to engineering applications. Rock Mech Rock Eng 40(1):3–21CrossRef

Zhang X, Sanderson DJ, Harkness RM, Last NC (1996) Evaluation of the 2-D permeability tensor for fractured rock masses. Int J Rock Mech Min Sci Geomech Abstr 33(1):17–37CrossRef

Zhou CB, Xiong WL (1996a) Permeability tensor for jointed rock masses in coupled seepage and stress field (in Chinese). Chinese J Rock Mech Eng 15(4):338–344

Zhou CB, Xiong WL (1996b) A generalized cubic law for percolation in rock joints (in Chinese). Rock and Soil Mech 17(4):1–7

Zhou CB, Chen YF, Jiang QH, Lu WB (2008a) Introduction to generalized multi-field coupling analysis for complex rock masses. China WaterPower, Beijing

Zhou CB, Chen YF, Jiang QH, Rong G (2008b) A interfacial layer model for coupled hydromechanical analysis in geological discontinuities (in Chinese). Chinese J Rock Mech Eng 27(6):1081–1093

Zhou CB, Sharma RS, Chen YF, Rong G (2008c) Flow-stress coupled permeability tensor for fractured rock masses. Int J Numer Anal Meth Geomech 32:1289–1309CrossRef

Titel: Permeability tensor and representative elementary volume of fractured rock masses
verfasst von: Guan Rong
Jun Peng
Xiaojiang Wang
Guang Liu
Di Hou
Publikationsdatum: 01.11.2013
Verlag: Springer Berlin Heidelberg
Erschienen in: Hydrogeology Journal / Ausgabe 7/2013
Print ISSN: 1431-2174
Elektronische ISSN: 1435-0157
DOI: https://doi.org/10.1007/s10040-013-1040-x

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 7/2013

Groundwater management by riverbank filtration and an infiltration channel: the case of Obrenovac, Serbia

Simulation of the hydrogeologic effects of oil-shale mining on the neighbouring wetland water balance: case study in north-eastern Estonia

The aquifer pollution vulnerability concept: aid or impediment in promoting groundwater protection?

Analysis of environmental isotopes in groundwater to understand the response of a vulnerable coastal aquifer to pumping: Western Port Basin, south-eastern Australia

Effect of different transport observations on inverse modeling results: case study of a long-term groundwater tracer test monitored at high resolution

Erratum: Analysis of environmental isotopes in groundwater to understand the response of a vulnerable coastal aquifer to pumping: Western Port Basin, south-eastern Australia