Transverse mixing of conservative and reactive tracers in porous media: Quantification through the concepts of flux-related and critical dilution indices

Water Resources Research

Volumn 47, Issue 2, 2011, Pages

  Chiogna, Gabriele ^a   Cirpka, Olaf A ^a   Grathwohl, Peter ^a   Rolle, Massimo ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AMBIENT WATERS; CONSERVATIVE TRACERS; CONTROLLED DEGRADATION; DIFFERENT SCALE; FATE AND TRANSPORT OF CONTAMINANT; FIELD SCALE; HETEROGENEOUS POROUS MEDIA; LOCAL DISPERSION; MASS FLUX; MIXING ENHANCEMENT; MIXING INTENSITY; NUMERICAL EXPERIMENTS; NUMERICAL SIMULATION; POROUS MEDIA; REACTIVE SYSTEM; REACTIVE TRACER; REACTIVE TRANSPORT; STEADY-STATE FLOW CONDITIONS; TRANSVERSE MIXING; TWO-DIMENSIONAL SYSTEMS;

DEGRADATION; DILUTION; POROUS MATERIALS; TWO DIMENSIONAL;

MIXING;

DILUTION; MASS TRANSFER; MIXING; POLLUTANT TRANSPORT; POROUS MEDIUM; QUANTITATIVE ANALYSIS; STEADY-STATE EQUILIBRIUM; SUBSURFACE FLOW; TRACER; TWO-DIMENSIONAL FLOW;

EID: 79851484227     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR009608     Document Type: Article

References (63)

1. Anneser, B., F. Einsiedl, R. U. Meckenstock, L. Richters, F. Wisotzky, and C. Griebler (2008), High-resolution monitoring of biogeochemical gradients in a tar oil-contaminated aquifer, Appl. Geochem., 23, 1715-1730.
2. Bauer, R. D., M. Rolle, S. Bauer, C. Eberhardt, P. Grathwohl, O. Kolditz, R. U. Meckenstock, and C. Griebler (2009), Enhanced biodegradation by hydraulic heterogeneities in petroleum hydrocarbon plumes, J. Contam. Hydrol., 105, 56-68.
3. Bear, J. (1972), Dynamics of Fluids in Porous Media, Dover, New York.
4. Bear, J., and Y. Sun (1998), Optimization of pump-treat-inject (PTI) design for the remediation of a contaminated aquifer: Multi-stage desi (Pubitemid 28098195)
5. Beckie, R. D. (1998), Analysis of scale effects in large-scale solute transport models, in Scale Dependence and Scale Invariance in Hydrology, edited by G. Sposito, pp. 314-334. Cambridge Univ. Press, New York.
6. Bloem, E., F. A. N. Hogervorst, and G. H. de Rooij (2009), A field experiment with variable-suction multi-compartment samplers to measure the spatio-temporal distribution of solute leaching in an agricultural soil, J. Contam. Hydrol., 105, 131-145.
7. Cao, J., and P. K. Kitanidis (1998), Pore-scale dilution of conservative solutes: An example, Water Resour. Res., 34, 1941-1949. (Pubitemid 28367468)
8. Chilakapati, A., and S. Yabusaki (1999), Nonlinear reactions and nonuniform flows, Water Resour. Res., 35, 2427-2438. (Pubitemid 29375372)
9. Chiogna, G., M. Rolle, O. A. Cirpka,and P. Grathwohl (2010a), Modeling mixing-controlled reactive transport: Importance of compound dependent hydrodynamic and (hydro)mechanical transverse dispersion, paper presented at XVIII International Conference on Computational Methods in Water Resources, CIMNE, Barcelona, Spain.
10. Chiogna, G., C. Eberhardt, P. Grathwohl, O. A. Cirpka, and M. Rolle (2010b), Evidence of compound dependent hydrodynamic and mechanical transverse dispersion by multitracer laboratory experiments, Environ. Sci. Technol., 44, 688-693, doi:10.1021/es9023964.
11. Cirpka, O. A. (2002), Choice of dispersion coefficients in reactive transport calculations on smoothed fields, J. Contam. Hydrol., 58, 261-282. (Pubitemid 35291152)
12. Cirpka, O. A., and S. Attinger (2003), Effective dispersion in heterogeneous media under random transient flow conditions, Water Resour. Res., 39(9), 1257, doi:10.1029/2002WR001931.
13. Cirpka, O. A., and A. J. Valocchi (2007), Two-dimensional concentration distribution for mixing-controlled bioreactive transport in steady state, Adv. Water Resour., 30, 1668-1679. (Pubitemid 46586074)
14. Cirpka, O. A., E. O. Frind, and R. Helmig (1999a), Numerical simulation of biodegradation controlled by transverse mixing, J. Contam. Hydrol., 40, 159-182. (Pubitemid 30035410)
15. Cirpka, O. A., E. O. Frind, and R. Helmig (1999b), Streamline-oriented grid-generation for transport modelling in two-dimensional domains including wells, Adv. Water Resour., 22, 697-710. (Pubitemid 29273574)
16. Cirpka, O. A., R. Helmig, and E. O. Frind (1999c), Numerical methods for reactive transport on rectangular and streamline-oriented grids, Adv. Water Resour., 22, 711-728. (Pubitemid 29273575)
17. Cirpka, O. A., A. Olsson, Q. Ju, A. Rahman, and P. Grathwohl (2006), Determination of transverse dispersion coefficients from reactive plumes lengths, Ground Water, 44, 212-221. (Pubitemid 43362902)
18. Dagan, G. (1984), Solute transport in heterogeneous porous formations, J. Fluid Mech., 145, 151-177. (Pubitemid 15458995)
19. Dagan, G. (1990), Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion, Water Resour. Res., 26, 1281-1290.
20. Dagan, G. (1991), Dispersion of a passive solute in nonergodic transport by steady velocity-fields in heterogeneous formations, J. Fluid Mech., 233, 197-210.
21. Davis, T. A., and I. S. Duff (1997), An unsymmetric-pattern unifrontal method for sparse LU factorization, SIAM J. Matrix Anal. Appl., 18, 140-158.
22. de Barros, F. P. J., and W. Nowak (2010), On the link between contaminant source release conditions and plume prediction uncertainty, J. Contam. Hydrol., 116(1-4), 24-34.
23. Dentz, M., and J. Carrera (2003), Effective dispersion in temporally fluctuating flow through a heterogeneous medium, Phys. Rev. E, 68, 036310.
24. Dentz, M., and J. Carrera (2005), Effective solute transport in temporally fluctuating flow through heterogeneous media, Water Resour. Res., 41, W08414. doi:10.1029/2004WR003571. (Pubitemid 41393343)
25. Dentz, M., H. Kinzelbach, S. Attinger, and W. Kinzelbach (2000a), Temporal behavior of a solute cloud in a heterogeneous porous medium: 1. Point-like injection, Water Resour. Res., 36, 3591-3604. (Pubitemid 32039910)
26. Dentz, M., H. Kinzelbach, S. Attinger, and W. Kinzelbach (2000b) Temporal behavior of a solute cloud in a heterogeneous porous medium: 2. Spatially extended injection, Water Resour. Res., 36, 3605-3614. (Pubitemid 32039911)
27. de Rooij, G. H., O. A. Cirpka, F. Stagnitti, S. H. Vuurens, and J. Boll (2006), Quantifying minimum monolith size and solute dilution from multi-compartment percolation sampler data, Vadose Zone J., 5, 1086-1092. (Pubitemid 47253938)
28. De Simoni, M., J. Carrera, X. Sanchez-Vila, and A. Guadagnini (2005), A procedure for the solution of multi-component reactive transport problems, Water Resour. Res., 41, W11410. doi:10.1029/2005WR004056. (Pubitemid 43041791)
29. De Simoni, M., X. Sanchez-Vila, J. Carrera, and M.W. Saaltink (2007), A mixing ratios-based formulation for multicomponent reactive transport, Water Resour. Res., 43, W07419. doi:10.1029/2006WR005256. (Pubitemid 350194472)
30. Domenico, P. A., and V. V. Palciauskas (1982), Alternative boundaries in solid waste management, Ground Water, 20, 303-311.
31. Gelhar, L. W., and C. L. Axness (1983), Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180. (Pubitemid 14256049)
32. Kapoor, V., and P. K. Kitanidis (1996), Concentration fluctuations and dilution in two-dimensionally periodic heterogeneous porous media, Transp. Porous Media, 22, 91-119. (Pubitemid 126708169)
33. Kapoor, V., and P. K. Kitanidis (1998), Concentration fluctuations and dilution in aquifers, Water Resour. Res., 34, 1181-1193. (Pubitemid 28219546)
34. Kitanidis, P. K. (1988), Prediction by the method of moments of transport in heterogeneous formations, J. Hydrol., 102, 453-473. (Pubitemid 19299580)
35. Kitanidis, P. K. (1994), The concept of dilution index, Water Resour. Res., 30, 2011-2026.
36. Klenk, I. D., and P. Grathwohl (2002), Transverse vertical dispersion in groundwater and the capillary fringe, J. Contam. Hydrol., 58, 111-128. (Pubitemid 34863864)
37. Kreft, A., and A. Zuber (1978), On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions, Chem. Eng. Sci., 33, 1471-1480. (Pubitemid 9405402)
38. Lerner, D. N., S. F. Thornton, M. J. Spence, S. A. Banwart, S. H. Bottrell, J. J. Higgo, H. E. H. Mallinson, R. W. Pickup, and G. M. Williams (2000), Ineffective natural attenuation of degradable organic compounds in a phenol-contaminated aquifer, Ground Water, 38, 922-928. (Pubitemid 32450119)
39. Liedl, R., A. J. Valocchi, P. Dietrich, and P. Grathwohl (2005), Finiteness of steady state plumes, Water Resour. Res., 41, W12501. doi:10.1029/ 2005WR004000.
40. McLaughlin, D., and F. Ruan (2001), Macrodispersivity and large-scale hydrogeologic variability, Transp. Porous Media, 42, 133-154.
41. Moroni, M., N. Kleinfelter, and J. H. Cushman (2007), Analysis of dispersion in porous media via matched-index particle tracking velocimetry experiments, Adv. Water Res., 30, 1-15. (Pubitemid 44734670)
42. Neuman, S. P., C. L. Winter, and C. M. Newman (1987), Stochastic theory of field-scale Fickian dispersion in anisotropic porous media, Water Resour. Res., 23, 453-466.
43. Pannone, M., and P. K. Kitanidis (1999), Large-time behavior of concentration variance and dilution in heterogeneous formations, Water Resour. Res., 35, 623-634. (Pubitemid 29111794)
44. Prommer, H., N. Tuxen, and P. Bjerg (2006), Fringe-controlled natural attenuation of phenoxy acids in a landfill plume: Integration of fieldscale processes by reactive transport modelling, Environ. Sci. Technol., 40, 4732-4738. (Pubitemid 44157211)
45. Prommer, H., B. Anneser, M. Rolle, F. Einsiedl, and C. Griebler (2009), Biogeochemical and isotopic gradients in a BTEX/PAH contaminant plume: Model-based interpretation of a high-resolution field data set, Environ. Sci. Technol., 43, 8206-8212.
46. Rahman, A. M., S. Jose, W. Nowak, and O. A. Cirpka (2005), Experiments on vertical transverse mixing in a large-scale heterogeneous model aquifer. J. Contam. Hydrol., 80, 130-148, doi:10.1016/j.jconhyd.2005.06.010. (Pubitemid 41531683)
47. Rajaram, H., and L. W. Gelhar (1993a), Plume scale-dependent dispersion in heterogeneous aquifers: 1. Lagrangian analysis in a stratified aquifer, Water Resour. Res., 29, 3249-3260. (Pubitemid 24398726)
48. Rajaram, H., and L. W. Gelhar (1993b), Plume scale-dependent dispersion in heterogeneous aquifers: 2. Eulerian analysis and three-dimensional aquifers, Water Resour. Res., 29, 3261-3276. (Pubitemid 24398727)
49. Rajaram, H., and L. W. Gelhar (1995), Plume-scale dispersion in aquifers with a wide range of scales of heterogeneity, Water Resour. Res., 31, 2469-2482. (Pubitemid 26460607)
50. Ramanujan, S. (1911), Question No. 298. J. Indian Math. Soc., 3, 90.
51. Rolle, M., C. Eberhardt, G. Chiogna, O. A. Cirpka, and P. Grathwohl (2009), Enhancement of dilution and transverse reactive mixing in porous media: Experiments and model-based interpretation, J. Contam. Hydrol., 110, 130-142.
52. Rolle, M., G. Chiogna, R. Bauer, C. Griebler, and P. Grathwohl (2010), Isotopic fractionation by transverse dispersion: Flow-through microcosms and reactive transport modeling study, Environ. Sci. Technol., 44, 6167-6173.
53. Rossi, M., P. Lehmann, N. Ursino, O. Ippisch, and H. Flühler (2007), Solute mixing during imbibition and drainage in a macroscopically heterogeneous medium, Water Resour. Res., 43, W04428. doi:10.1029/2005 WR004038.
54. Rossi, M., O. Ippisch, and H. Flühler (2008), Solute dilution under imbibition and drainage conditions in a heterogeneous structure: Modeling of a sand tank experiment, Adv. Water Resour., 31, 1242-1252.
55. Scheidegger, A. E. (1961), General theory of dispersion in porous media, J. Geophys. Res., 66, 3273-3278.
56. Srinivasan, V., T. P. Clement, and K. K. Lee (2007), Domenico solution-Is it valid?, Ground Water, 45, 136-146.
57. Tartakovsky, A. M., G. D. Tartakovsky, and T. D. Scheibe (2009), Effects of incomplete mixing on multicomponent reactive transport, Adv. Water Resour., 32, 1674-1679.
58. Thierrin, J., and P. K. Kitanidis (1994), Solute dilution at the Borden and Cape Cod groundwater tracer tests, Water Resour. Res., 30, 2883-2890. (Pubitemid 292117)
59. Ursino, N., T. Gimmi, and H. Flühler (2001), Dilution of nonreactive tracers in variably saturated sandy structures, Adv. Water Resour., 24, 877-885. (Pubitemid 32667959)
60. Valocchi, A. J., K. Nakshatrala, and M. Massabò (2009), Reactions along transverse mixing zones in heterogeneous aquifers: Using effective dispersion coefficients and multi-scale finite element methods, Eos Trans. AGU, 90(52), Fall Meet. Suppl., Abstract H32C-04.
61. Werth, C. J., O. A Cirpka, and P. Grathwohl (2006), Enhanced mixing and reaction through flow focusing in heterogeneous porous media, Water Resour. Res., 42, W12414. doi:10.1029/2005WR004511. (Pubitemid 46184054)
62. Willingham, T. W., C. J. Werth, and A. J. Valocchi (2008), Evaluation of the effects of porous media structure on mixing-controlled reactions using pore-scale modeling and micromodel experiments, Environ. Sci. Technol., 42, 3185-3193.
63. Willingham, T., C. Zhang, C. J. Werth, A. J. Valocchi, M. Oostrom, and T. W. Wiestma (2010).Using dispersivity values to quantify the effects of pore-scale flow focusing on enhanced reaction along transverse mixing zone, Adv. Water Res., 33, 525-535.