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Published in: Geotechnical and Geological Engineering 6/2012

01-12-2012 | Original paper

Numerical Modeling and Spatial Moment Analysis of Solute Mobility and Spreading in a Coupled Fracture-Skin-Matrix System

Authors: V. Renu, G. Suresh Kumar

Published in: Geotechnical and Geological Engineering | Issue 6/2012

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Abstract

This study deals with transport of solutes through a saturated sub-surface rock formation with well-defined horizontal parallel fractures. For this purpose, a simplified conceptual model consisting of a single fracture and its associated rock-matrix is considered in the presence of a fracture-skin in order to study the mobility and mixing of solutes along the fracture. In this paper, a coupled fracture-skin-matrix system is modeled numerically using finite difference method in a pseudo two-dimensional domain with a constant continuous source at fracture inlet. Flow and transport processes are considered parallel to the fracture axis, while the transport processes in fracture-skin as well as in rock-matrix are considered perpendicular to the fracture axis. Having obtained the concentration distribution along the fracture, method of spatial moments is employed to study the mobility and spreading of solutes. Sensitivity analyses have been done to understand the effect of various fracture-skin parameters like porosity, thickness, and diffusion coefficient. Further, the influence of non-linear sorption and radioactive decaying of solutes are carried out for different sorption intensities and decay constants. Results suggest that the presence of fracture-skin significantly influences the mobility and spreading of solutes along the fracture in comparison with a coupled fracture-matrix system without fracture-skin.
Literature
go back to reference Aris R (1956) On the dispersion of a solute in a fluid flowing through a tube. Proc R Soc A 235:67–77 CrossRef Aris R (1956) On the dispersion of a solute in a fluid flowing through a tube. Proc R Soc A 235:67–77 CrossRef
go back to reference Banton O, Bangoy LM (1997) Hydrogeologie, multiscience ennvironnmentale des eaux souterraines (Hydrogeology, environmental multiscience of groundwater). Presses de l’Universite du Quebec/AUPELF, Sainte-Foy, Quebec Banton O, Bangoy LM (1997) Hydrogeologie, multiscience ennvironnmentale des eaux souterraines (Hydrogeology, environmental multiscience of groundwater). Presses de l’Universite du Quebec/AUPELF, Sainte-Foy, Quebec
go back to reference Becker MW, Shapiro AM (2000) Tracer transport in fractured rock: evidence of non diffusive breakthrough tailing. Water Resour Res 36:1677–1686 CrossRef Becker MW, Shapiro AM (2000) Tracer transport in fractured rock: evidence of non diffusive breakthrough tailing. Water Resour Res 36:1677–1686 CrossRef
go back to reference Bosma WJP, van der Zee SEATM (1995) Dispersion of a continuously injected, nonlinearly adsorbing solute in chemically or physically heterogeneous porous formations. J Contam Hydrol 18(3):181–198 Bosma WJP, van der Zee SEATM (1995) Dispersion of a continuously injected, nonlinearly adsorbing solute in chemically or physically heterogeneous porous formations. J Contam Hydrol 18(3):181–198
go back to reference Bradner GC, Murdoch LC (2005) Effects of skin and hydraulic fractures on SVE wells. J Contam Hydrol 77(4):271–297 CrossRef Bradner GC, Murdoch LC (2005) Effects of skin and hydraulic fractures on SVE wells. J Contam Hydrol 77(4):271–297 CrossRef
go back to reference Dorn R (1998) Rock coatings. In: Developments in earth surface processes 6. Elsevier, Amsterdam, Lausanne Dorn R (1998) Rock coatings. In: Developments in earth surface processes 6. Elsevier, Amsterdam, Lausanne
go back to reference Driese SG, McKay LD, Penfield CP (2001) Lithologic and pedogenic influences on porosity distribution and groundwater flow in fractured sedimentary saprolite: a new application of environmental sedimentology. J Sedimen Res 71(5):843–857 CrossRef Driese SG, McKay LD, Penfield CP (2001) Lithologic and pedogenic influences on porosity distribution and groundwater flow in fractured sedimentary saprolite: a new application of environmental sedimentology. J Sedimen Res 71(5):843–857 CrossRef
go back to reference Ezzedine S, Rubin Y (1997) Analysis of the Cape Cod tracer data. Water Resour Res 33(1):1–11 CrossRef Ezzedine S, Rubin Y (1997) Analysis of the Cape Cod tracer data. Water Resour Res 33(1):1–11 CrossRef
go back to reference Fischer HB, List EJ, Koth RCY, Imberger J, Brooks NH (1979) Mixing in inland and coastal waters. Academic Press, New York Fischer HB, List EJ, Koth RCY, Imberger J, Brooks NH (1979) Mixing in inland and coastal waters. Academic Press, New York
go back to reference Fomin SA, Chugunov VA, Hashida T (2011) Non-Fickian mass transport in fractured porous media. Adv Water Resour 34(2):205–214 CrossRef Fomin SA, Chugunov VA, Hashida T (2011) Non-Fickian mass transport in fractured porous media. Adv Water Resour 34(2):205–214 CrossRef
go back to reference Fu L, Milliken KL, Sharp JM Jr (1994) Porosity and permeability variations in the fractured and liesegang-banded Breathitt Sandstone (Middle Pennsylvanian), eastern Kentucky: diagenetic controls and implications for modelling dual porosity systems. J Hydrol 154:351–381 CrossRef Fu L, Milliken KL, Sharp JM Jr (1994) Porosity and permeability variations in the fractured and liesegang-banded Breathitt Sandstone (Middle Pennsylvanian), eastern Kentucky: diagenetic controls and implications for modelling dual porosity systems. J Hydrol 154:351–381 CrossRef
go back to reference Garner TT, Sharp JM (2004) Hydraulic properties of granitic fracture skins and their effects on solute transport. In: Proceedings, 2004 U.S EPA/NGWA, fractured rock conference: state of the science and measuring success in remediation, national groundwater association, Dublin, Ohio, pp 664–678 Garner TT, Sharp JM (2004) Hydraulic properties of granitic fracture skins and their effects on solute transport. In: Proceedings, 2004 U.S EPA/NGWA, fractured rock conference: state of the science and measuring success in remediation, national groundwater association, Dublin, Ohio, pp 664–678
go back to reference Gelhar LW (1993) Stochastic subsurface hydrology. Prentice Hall, Englewood cliffs Gelhar LW (1993) Stochastic subsurface hydrology. Prentice Hall, Englewood cliffs
go back to reference Goltz MN, Roberts PV (1987) Using the method of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspectives. Water Resour Res 23(8):1575–1585 CrossRef Goltz MN, Roberts PV (1987) Using the method of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspectives. Water Resour Res 23(8):1575–1585 CrossRef
go back to reference Guven O, Molz FJ, Melville JG (1984) An analysis of dispersion in a stratified aquifer. Water Resour Res 20(10):1337–1354 CrossRef Guven O, Molz FJ, Melville JG (1984) An analysis of dispersion in a stratified aquifer. Water Resour Res 20(10):1337–1354 CrossRef
go back to reference Himmelsbach T, Hotzl H, Maloszewski P (1998) Solute transport process in a highly permeable fault zone of Lindau fractured rock site (Germany). Groundwater 36(5):792–800 CrossRef Himmelsbach T, Hotzl H, Maloszewski P (1998) Solute transport process in a highly permeable fault zone of Lindau fractured rock site (Germany). Groundwater 36(5):792–800 CrossRef
go back to reference Horn FJM, Kipp RL Jr (1971) Induced transport in pulsating flow. AIChE J 17:621 CrossRef Horn FJM, Kipp RL Jr (1971) Induced transport in pulsating flow. AIChE J 17:621 CrossRef
go back to reference Kennedey CA, Lennox WC (1995) A control volume model of solute transport in single fracture. Water Resour Res 31(2):313–322 CrossRef Kennedey CA, Lennox WC (1995) A control volume model of solute transport in single fracture. Water Resour Res 31(2):313–322 CrossRef
go back to reference Kreisel I, Sharp JM Jr (1996) Fracture skins in the Brushy Canyon formation. In: DeMis WD, Cole AG (eds) The Brushy Canyon play in outcrop and subsurface: concepts and examples Kreisel I, Sharp JM Jr (1996) Fracture skins in the Brushy Canyon formation. In: DeMis WD, Cole AG (eds) The Brushy Canyon play in outcrop and subsurface: concepts and examples
go back to reference Landrum MT (2000) Hydrogeologic properties of fracture skins and their effects on radionuclide transport: Thesis (Masters).The University of Texas at Austin Landrum MT (2000) Hydrogeologic properties of fracture skins and their effects on radionuclide transport: Thesis (Masters).The University of Texas at Austin
go back to reference Maloszewski P, Zuber A (1985) On the theory of tracer experiments in fissured rocks with a porous matrix. J Hydrol 79:333–358 CrossRef Maloszewski P, Zuber A (1985) On the theory of tracer experiments in fissured rocks with a porous matrix. J Hydrol 79:333–358 CrossRef
go back to reference Maloszewski P, Zuber A (1990) Mathematical modeling of tracer behavior in short-term tracer experiments and in fissured rocks. Water Resour Res 26:1517–1528 CrossRef Maloszewski P, Zuber A (1990) Mathematical modeling of tracer behavior in short-term tracer experiments and in fissured rocks. Water Resour Res 26:1517–1528 CrossRef
go back to reference Maloszewski P, Zuber A (1993) Tracer experiments in fractured rocks: matrix diffusion and the validity of models. Water Resour Res 29:2723–2735 CrossRef Maloszewski P, Zuber A (1993) Tracer experiments in fractured rocks: matrix diffusion and the validity of models. Water Resour Res 29:2723–2735 CrossRef
go back to reference Moench AF (1984) Double-porosity models for a fissured groundwater reservoir with fracture skin. Water Resour Res 20:831–846 CrossRef Moench AF (1984) Double-porosity models for a fissured groundwater reservoir with fracture skin. Water Resour Res 20:831–846 CrossRef
go back to reference Moench AF (1995) Convergent radial dispersion in a double-porosity aquifer with fracture skin: analytical solution and application to a field experiment in fractured chalk. Water Resour Res 31:1823–1835 CrossRef Moench AF (1995) Convergent radial dispersion in a double-porosity aquifer with fracture skin: analytical solution and application to a field experiment in fractured chalk. Water Resour Res 31:1823–1835 CrossRef
go back to reference Neretneiks I (1980) Diffusion in the rock matrix: an important factor in radionuclide retardation? J Geophys Res 85(B8):4379–4397 CrossRef Neretneiks I (1980) Diffusion in the rock matrix: an important factor in radionuclide retardation? J Geophys Res 85(B8):4379–4397 CrossRef
go back to reference Novakowski KS, Lapcevic PA, Voralek JW, Bickerton G (1995) Preliminary interpretation of tracer experiments conducted in a discrete rock fracture under conditions of natural flow. Geophys Res Lett 22(11):1417–1420 CrossRef Novakowski KS, Lapcevic PA, Voralek JW, Bickerton G (1995) Preliminary interpretation of tracer experiments conducted in a discrete rock fracture under conditions of natural flow. Geophys Res Lett 22(11):1417–1420 CrossRef
go back to reference Pasandi M, Samani N, Barry DA (2008) Effect of wellbore storage and finite thickness skin on flow to a partially penetrating well in a phreatic aquifer. Adv Water Resour 31(2):383–398 CrossRef Pasandi M, Samani N, Barry DA (2008) Effect of wellbore storage and finite thickness skin on flow to a partially penetrating well in a phreatic aquifer. Adv Water Resour 31(2):383–398 CrossRef
go back to reference Phyu T (2002) Transient modeling of contaminant transport in dual porosity media with fracture skins: Thesis (Masters).The University of Texas at Austin Phyu T (2002) Transient modeling of contaminant transport in dual porosity media with fracture skins: Thesis (Masters).The University of Texas at Austin
go back to reference Robinson NI, Sharp JM Jr (1997) Analytical solution for contaminant transport in a finite set of parallel fractures with matrix diffusion. C.S.I.R.O. Mathematical and Information Sciences Report CMIS-C23 Robinson NI, Sharp JM Jr (1997) Analytical solution for contaminant transport in a finite set of parallel fractures with matrix diffusion. C.S.I.R.O. Mathematical and Information Sciences Report CMIS-C23
go back to reference Robinson NI, Sharp JM Jr, Kriesel I (1998) Contaminant transport in a set of parallel fractures with fracture skin. J Contam Hydrol 31:83–109 CrossRef Robinson NI, Sharp JM Jr, Kriesel I (1998) Contaminant transport in a set of parallel fractures with fracture skin. J Contam Hydrol 31:83–109 CrossRef
go back to reference Sanford WE, Cook PG, Dighton JC (2002) Analysis of a vertical dipole tracer test in highly fractured rock. Groundwater 40:535–542 CrossRef Sanford WE, Cook PG, Dighton JC (2002) Analysis of a vertical dipole tracer test in highly fractured rock. Groundwater 40:535–542 CrossRef
go back to reference Sharp JM (1993) Fractured aquifers/reservoirs; Approaches, problems, and opportunities. In: Banks D, Banks S (eds) Hydrogeology of Hard Rocks, Memoires of the 24th Cong. International Assoc. Hydrogeologists. Oslo, Norway 24(1):23–38 Sharp JM (1993) Fractured aquifers/reservoirs; Approaches, problems, and opportunities. In: Banks D, Banks S (eds) Hydrogeology of Hard Rocks, Memoires of the 24th Cong. International Assoc. Hydrogeologists. Oslo, Norway 24(1):23–38
go back to reference Sharp JM Jr, Robinson NI, Smyth-Boulton RC, Milliken KL (1995) Fracture skin effects in groundwater transport. In: Rossmanith HP (ed) Mechanics of jointed and faulted rock. A.A. Balkeme, Rotterdam Sharp JM Jr, Robinson NI, Smyth-Boulton RC, Milliken KL (1995) Fracture skin effects in groundwater transport. In: Rossmanith HP (ed) Mechanics of jointed and faulted rock. A.A. Balkeme, Rotterdam
go back to reference Suresh Kumar G (2008) Effect of sorption intensities on dispersivity and macro-dispersion coefficient in a single fracture with matrix diffusion. Hydrogeol J (Springer) 16(2):235–249 Suresh Kumar G (2008) Effect of sorption intensities on dispersivity and macro-dispersion coefficient in a single fracture with matrix diffusion. Hydrogeol J (Springer) 16(2):235–249
go back to reference Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc A 219:186–203 CrossRef Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc A 219:186–203 CrossRef
go back to reference Weber WJJ, McGinley PM, Katz LE (1991) Sorption phenomena in subsurface system concepts, models and effects on contaminant fate and transport. Water Resour Res 25(5):499–528 Weber WJJ, McGinley PM, Katz LE (1991) Sorption phenomena in subsurface system concepts, models and effects on contaminant fate and transport. Water Resour Res 25(5):499–528
go back to reference Zimmerman MD, Bennett PC, Sharp JM Jr, Choi WJ (2002) Experimental determination of sorption in fractured flow systems. J Contam Hydrol 58:51–77 CrossRef Zimmerman MD, Bennett PC, Sharp JM Jr, Choi WJ (2002) Experimental determination of sorption in fractured flow systems. J Contam Hydrol 58:51–77 CrossRef
Metadata
Title
Numerical Modeling and Spatial Moment Analysis of Solute Mobility and Spreading in a Coupled Fracture-Skin-Matrix System
Authors
V. Renu
G. Suresh Kumar
Publication date
01-12-2012
Publisher
Springer Netherlands
Published in
Geotechnical and Geological Engineering / Issue 6/2012
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-012-9540-3