Contaminant transport in a fracture with spatially variable aperture in the presence of monodisperse and polydisperse colloids
Tóm tắt
A quasi-three-dimensional particle tracking model is developed to characterize the spatial and temporal effects of advection, molecular diffusion, Taylor dispersion, fracture wall deposition, matrix diffusion, and co-transport processes on two discrete plumes (suspended monodisperse or polydisperse colloids and dissolved contaminants) flowing through a variable aperture fracture situated in a porous medium. Contaminants travel by advection and diffusion and may sorb onto fracture walls and colloid particles, as well as diffuse into and sorb onto the surrounding porous rock matrix. A kinetic isotherm describes contaminant sorption onto colloids and sorbed contaminants assume the unique transport properties of colloids. Sorption of the contaminants that have diffused into the matrix is governed by a first-order kinetic reaction. Colloids travel by advection and diffusion and may attach onto fracture walls; however, they do not penetrate the rock matrix. A probabilistic form of the Boltzmann law describes filtration of both colloids and contaminants on fracture walls. Ensemble-averaged breakthrough curves of many fracture realizations are used to compare arrival times of colloid and contaminant plumes at the fracture outlet. Results show that the presence of colloids enhances contaminant transport (decreased residence times) while matrix diffusion and sorption onto fracture walls retard the transport of contaminants. Model simulations with the polydisperse colloids show increased effects of co-transport processes.
Tài liệu tham khảo
Abdel-Salam A, Chrysikopoulos CV (1995a) Analysis of a model for contaminant transport in fractured media in the presence of colloids. J Hydrol 165:261–281
Abdel-Salam A, Chrysikopoulos CV (1995b) Modeling of colloid and colloid-facilitated contaminant transport in a two-dimensional fracture with spatially variable aperture. Transp Porous Media 20(3):197–221
Adamczyk Z, Siwek B, Zembala M (1991) Kinetics of localized adsorption of particles on homogeneous surfaces. J Colloid Interface Sci 151(2):351–367
Adamczyk Z, Siwek B, Zembala M (1992a) Reversible and irreversible adsorption of particles on homogeneous surfaces. Colloids Surf A Physicochem Eng Aspects 62:119–130
Adamczyk Z, Siwek B, Zembala M, Weroński P (1992b) Kinetics of localized adsorption of colloid particles. Langmuir 8:2605–2610
Auset M, Keller AA (2004) Pore-scale processes that control dispersion of colloids in saturated porous media. Water Resour Res 40, w03503. DOI 10.1029/2003WR002800.
Baek I, Pitt WW (1996) Colloid-facilitated radionuclide transport in fractured rock. Waste Management 16(4):313–325
Baik MH, Hahn PS (1997) Radionuclide transport facilitated by polydispersed pseudo-colloids in the fractured rock media. J Nucl Sci Technol 34(1):41–49
Bekhit H, Hassan AE (2005) Stochastic modeling of colloid-contaminant transport in physically and geochemically heterogeneous porous media. Water Resour Res (in press)
Champ DR, Schroeter J (1988) Bacterial transport in fractured rock: a field-scale tracer test at the chalk river nuclear laboratories. Water Sci Technol 20(11/12):81–87
Chrysikopoulos CV, Abdel-Salam A (1997) Modeling colloid transport and deposition in saturated fractures. Colloids Surf A: Physicochem Eng Aspects 121:189–202
Chrysikopoulos CV, James SC (2003) Transport of neutrally buoyant and dense variably sized colloids in a two-dimensional fracture with anisotropic aperture. Transp Porous Media 51(2):191–210
Cumbie DH, McKay LD (1999) Influence of diameter on particle transport in a fractured shale saprolite. J Contam Hydrol 37(1–2):139–157
Cvetkovic V (2000) Colloid facilitated transport by steady random ground-water flow. Phys Fluids 12(9):2279–2294
Davis JA, Kent DB (1990) Surface complexation modeling in aqueous geochemistry. In: Mineral-water interface geochemistry. Mineralogical Society of America, Chap. 5. pp 177–260
Derjaguin BV (1934) Untersuchungen über die reibung und adhäsion. Kolloid Zh 69:155–164
Drever JI (1985) The chemistry of weathering. Reidel, Dordrecht
Grindrod P (1993) The impact of colloids on the migration and dispersal of radionuclides within fractured rock. J Contam Hydrol 13:167–181
Gutjahr AL (1989) Fast fourier transform for random field generation. Project report for los alamos grant, contract 4-r58-2690r. New Mexico Institute of Mining and Technology, Socorro
Haber S, Brenner H (1993) Effect of entrained colloidal particles in enhancing the transport of adsorbable chemical contaminants. J Colloid Interface Sci 155:226–246
Hassan AE, Mohamed M (2003) On using the random walk particle tracking method to simulate transport in single-continuum and dual continua porous media: a comparative study. J Hydrol 275:242–260
Hinsby K, McKay LD, Jorgensen P, Lenczewski M, Gerba CP (1996) Fracture aperture measurements and migration of solutes, viruses, and immiscible creosote in a column of clay-rich till. Ground Water 34:1067–1075
Ibaraki M, Sudicky EA (1995a) Colloid-facilitated contaminant transport in discretely fractured porous media 1. numerical formulation and sensitivity analysis. Water Resour Res 31(12):2945–2960
Ibaraki M, Sudicky EA (1995b) Colloid-facilitated contaminant transport in discretely fractured porous media 2. fracture network examples. Water Resour Res 31(12):2961–2969
James SC, Chrysikopoulos CV (2000) Transport of polydisperse colloids in a saturated fracture with spatially variable aperture. Water Resour Res 36(6):1457–1465
James SC, Chrysikopoulos CV (2001) An efficient particle tracking equation with a specified spatial step for the solution of the diffusion equation. Chem Eng Sci 56(23):6535–6543
James SC, Chrysikopoulos CV (2003a) Analytical solutions for the transport of monodisperse and polydisperse particle suspensions in a uniform fracture. Colloids Surf A: Physicochem Eng Aspects 226:101–118
James SC, Chrysikopoulos CV (2003b) Effective velocity and effective dispersion coefficient for finitely sized particles flowing in a uniform fracture. J Colloid Interface Sci 263(1):288–295
Jen C-P, Li S-H (2000) Effects of hydrodynamic chromatography on colloid-facilitated migration of radionuclides in the fractured rock. Waste Manage 21:499–509
Johns RA, Steade JS, Costanier LM, Roberts PV (1993) Nondestructive measurements of fracture aperture in crystalline rock cores using X-ray computed tomography. J Geophys Res 98(B2):1889–1900
Keller AA (1998) High resolution non-destructive measurement and characterization of fracture apertures. Int J Rock Mech Min Sci 35(8):1037–1050
Keller AA, Sirivithayapakorn S, Chrysikopoulos CV (2004) Early breakthrough of colloids and bacteriophage ms2 in a water-saturated sand column. Water Resour. Res. 40 (W08304). DOI 10.1029/2003WR002676
Kersting AB, Efurd DW, Finnegan DL, Rokop DJ, Smith DK, Thompson JL (1999) Migration of plutonium in groundwater at the nevada test site. Nature 397:56–59
van der Lee J, Ledoux E, de Marsily G (1994) Microscopic description of colloid transport in fractured or porous media. In: Dracos, Stauffer (eds) Transport and reactive processes in aquifers. Balkema, pp 349–355
Marseguerra M, Patelli E, Zio E (2001a) Groundwater contaminant transport in the presence of colloids I: a stochastic nonlinear model and parameter identification. Ann Nucl Energy 28:777–803
Marseguerra M, Patelli E, Zio E (2001b) Groundwater contaminant transport in the presence of colloids I: sensitivity and uncertainty analysis on literature case studies. Ann Nucl Energy 28:1799–1807
McKay LD, Gillham RW, Cherry JA (1993) Field experiments in fractured clay till: 2. solute and colloid transport. Water Resour Res 20:1149–1162
Missana T, Mingarro M, Gutierrez MG, Alonso U, Geckeis H, Schaefer T, Rabung T, Vejmelka P, Marquardt C, Ota K (2003) Gts phase V CRR experiment. Technical Report, Rep. NTB 03-02. NAGRA, Baden, p 100
Möri A, Alexander WR, Geckeis H, Geyer F, Eikenberg J, Fierz T, Degueldre C, Missana T (2003) The colloid and radionuclide retardation experiment at the grimsel test site: influence of bentonite on the radionuclide migration in a fractured rock. Colloids Surf A Physicochem Eng Aspects 217(1–3):33–47
Nelson DM, Orlandini KA (1986) Environmental research division progress report 1984-85. Technical Report, Anl-86-15. Argonne National Laboratory
Neretnieks I (1980) Diffusion in the rock matrix: an important factor in radionuclide migration? J Geophys Res 85(B8):4379–4397
Ouyang Y, Shinde D, Mansell RS, Harris W (1996) Colloid-enhanced transport of chemicals in subsurface environments—a review. Environ Sci Technol 26(2):189–204
Pang L, Close M (1999) A field study of nonequilibrium and facilitated transport of Cd in an alluvial gravel aquifer. Ground Water 37(5):785–792
Reimus PW (1995) The use of synthetic colloids in tracer transport experiments in saturated rock fractures. PhD Thesis, Los Alamos National Laboratory, LA-13004-T
Reimus PW, James SC (2002) Determining the random time step in a constant spatial step particle tracking algorithm. Chem Eng Sci 57(21):4429–4434
Reimus PW, Robinson BA, Glass RJ (1993) Aperture characteristics, saturated fluid-flow, and tracer-transport calculations for a natural fracture. In: High-level radioactive waste management. pp 2009–2016
Sirivithayapakorn S, Keller AA (2003) Transport of colloids in saturated media: a pore-scale observation of the size exclusion effect and colloid acceleration. Water Resour Res 39(4):1109. DOI 10.1029/2002WR001583
Smith PA, Degueldre C (1993) Colloid-facilitated transport of radionuclides through fractured media. J Contam Hydrol 13:143–166
Smith PA, Alexander WR, Kickmaier W, Ota K, Frieg B, McKinley IG (2001) Development and testing of radionuclide transport models for fractured rock: examples from the Nagra/JNC radionuclide migration program in the Grimsel test site, Switzerland. J Contam Hydrol 47:335–349
Stumm W (1977) Chemical interaction in particle separation. Environ Sci Technol 11:1066–1070
Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc London A 219:186–203
Tompson AFB, Gelhar LW (1990) Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media. Water Resour Res 26(10):2541–2562
Toran L, Palumbo AV (1992) Colloid transport through fractured and unfractured laboratory sand columns. J Contam Hydrol 9:289–303
Valocchi AJ, Quinodoz HAM (1989) Application of the random walk method to simulate the transport of kinetically adsorbing solutes. In: Proceeding of the symposium held during the third IAHS scientific assembly (Groundwater Contamination. No. 185). pp 35–42
van de Ven TGM (1989) Colloidal hydrodynamics. Academic, London
Verwey EJW, Overbeek JTG (1948) Theory and stability of lyophobic colloids. Elsevier, Amsterdam-Ner York
Vilks P, Baik M-H (2001) Laboratory migration experiments with radionuclides and natural colloids in a granite fracture. J Contam Hydrol 47:197–210
Vilks P, Frost LH, Bachinski DB (1996) Field-scale colloid migration experiments in a granite fracture. J Contam Hydrol 26:203–214
Watermark Computing 2002. Model independent parameter estimation: PEST. User’s manual
Welty JR, Wicks CE, Wilson RE (2001) Fundamentals of momentum, heat, and mass transfer, 4th edn. Wiley