Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media

Computer Physics Communications

Volumn 185, Issue 12, 2014, Pages 3291-3301

  Van Milligen, B Ph ^a   Bons, P D ^b  

^a CIEMAT   (Spain)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Differential equations; Flows through porous media; Phase transitions

Indexed keywords

DIFFERENTIAL EQUATIONS; FLOW VELOCITY; GROUNDWATER; NUMERICAL MODELS; PHASE TRANSITIONS; POROUS MATERIALS; VELOCITY;

DIFFUSIVE TRANSPORT; DISPERSION OF SOLUTES; FLOWS THROUGH POROUS MEDIA; GROUND WATER REMEDIATION; HIGH FLOW VELOCITY; HOMOGENEOUS POROUS MEDIA; INTERMEDIATE REGIMES; LONGITUDINAL DISPERSIONS;

DISPERSIONS;

EID: 84908077712     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2014.09.006     Document Type: Article

References (32)

1. J. Bear Dynamics of Fluids in Porous Media 1972 Elsevier New York
2. G. de Marsily Quantitative Hydrogeology: Groundwater Hydrology for Engineers 1986 Academic Orlando, Fla.
3. B. Berkowitz, J. Klafter, R. Metzler, and H. Scher Physical pictures of transport in heterogeneous media: Advection-dispersion, random-walk, and fractional derivative formulations Water Resour. Res. 38 10 2002 1 9 10.1029/2001WR001030
4. J. Delgado A critical review of dispersion in packed beds Heat Mass Transfer 42 2006 279 310 10.1007/s00231-005-0019-0
5. J. Fried, and M. Combarnous Dispersion in porous media Adv. Hydrosci. 7 1971 169
6. J. Delgado Longitudinal and transverse dispersion in porous media Trans. IChemE A 85 A9 2007 1245 1252 10.1205/cherd07017
7. W. Wood Inertial effects in dispersion in porous media Water Resour. Res. 43 2007 W12S16 10.1029/2006WR005790
8. B. Bijeljic, and M. Blunt Pore-scale modeling of transverse dispersion in porous media Water Resour. Res. 43 2007 W12S11 10.1029/2006WR005700
9. B. Bijeljic, A. Muggeridge, and M. Blunt Pore-scale modeling of longitudinal dispersion Water Resour. Res. 40 2004 W11501 10.1029/2004WR003567
10. m < 1, 400 AIChE J. 46 5 2000 1089 10.1002/aic.690460520
11. I. Klenk, and P. Grathwohl Transverse vertical dispersion in groundwater and the capillary fringe J. Contam. Hydrol. 58 1-2 2002 111 10.1016/S0169-7722(02)00011-6
12. Å Olsson, and P. Grathwohl Transverse dispersion of non-reactive tracers in porous media: A new nonlinear relationship to predict dispersion coefficients J. Contam. Hydrol. 92 3-4 2007 149 10.1016/j.jconhyd.2006.09.008
13. B. van Milligen, and P. Bons Analytical model for tracer dispersion in porous media Phys. Rev. E 85 2012 011306 10.1103/PhysRevE.85.011306
14. P. Bons, B. van Milligen, and P. Blum A general unified expression for solute and heat dispersion in homogeneous porous media Water Resour. Res. 49 2013 1 10.1002/wrcr.20488
15. M. Sahimi, H. Ted Davis, and L. Scriven Dispersion in disordered porous media Chem. Eng. Commun. 23 1983 329 10.1080/00986448308940483
16. M. Sahimi, and A. Imdakm The effect of morphological disorder on hydrodynamic dispersion in flow through porous media J. Phys. A: Math. Gen. 21 1988 3833 10.1088/0305-4470/21/19/019
17. M. Rhodes, and M. Blunt An exact particle tracking algorithm for advective-dispersive transport in networks with complete mixing at nodes Water Resour. Res. 42 2006 W04502 10.1029/2005WR004504
18. G. Taylor Dispersion of soluble matter in solvent flowing slowly through a tube Proc. R. Soc. Lond. Ser. A 219 1137 1953 186 203 10.1098/rspa.1953.0139
19. C. Bruderer, and Y. Bernabé Network modelling of dispersion: Transition from Taylor dispersion in homogeneous networks to mechanical dispersion in very heterogeneous ones Water Resour. Res. 37 4 2001 897 10.1029/2000WR900362
20. C. Aggelopoulos, and C. Tsakiroglou The longitudinal dispersion coefficient of soils as related to the variability of local permeability Water Air Soil Pollut. 185 2007 223 10.1007/s11270-007-9445-6
21. V. Charette, E. Evangelista, R. Chertcoff, H. Auradou, J. Hulin, and I. Ippolito Influence of the disorder on solute dispersion in a flow channel Eur. Phys. J. Appl. Phys. 39 2007 267 10.1051/epjap:2007110
22. L. Heaton, E. López, P. Maini, M. Fricker, and N. Jones Advection, diffusion, and delivery over a network Phys. Rev. E 86 2012 021905 10.1103/PhysRevE.86.021905 URL: http://arxiv.org/abs/1105.1647
23. M. Jessell, P. Bons, L. Evans, T. Barr, and K. Stüwe Elle: the numerical simulation of metamorphic and deformation microstructures Comput. Geosci. 27 2001 17 10.1016/S0098-3004(00)00061-3
24. J. Roessiger, P. Bons, A. Griera, M. Jessell, L. Evans, M. Montagnat, S. Kipfstuhl, S. Faria, and I. Weikusat Competition between grain growth and grain size reduction in polar ice J. Glaciol. 57 2011 942 10.3189/002214311798043690
25. H. Stanley Introduction to Phase Transitions and Critical Phenomena 1971 Clarendon Press Oxford
26. P. Mostaghimi, B. Bijeljic, and M. Blunt Simulation of flow and dispersion on pore-space images SPE J. 17 4 2012 1131 10.2118/135261-PA
27. S. Ovaysi, and M. Piri Pore-scale modeling of dispersion in disordered porous media J. Contam. Hydrol. 124 2011 68 81 10.1016/j.jconhyd.2011.02.004
28. L. Gladden, and J. Mitchell Measuring adsorption, diffusion and flow in chemical engineering: applications of magnetic resonance to porous media New J. Phys. 13 2011 035001 10.1088/1367-2630/13/3/035001
29. M. Sahimi Fractal and superdiffusive hydrodynamic transport in heterogeneous porous media Transp. Porous Media 13 1993 3 40 10.1007/BF00613269
30. B. Berkowitz, and H. Scher Anomalous transport in random fracture networks Phys. Rev. Lett. 79 1997 4038 10.1103/PhysRevLett.79.4038
31. M. Meerschaert, D. Benson, and B. Baeumer Operator Lévy motion and multiscaling anomalous diffusion Phys. Rev. E 63 2001 021112 10.1103/PhysRevE.63.021112
32. M. Levy, and B. Berkowitz Measurement and analysis of non-fickian dispersion in heterogeneous porous media J. Contam. Hydrol. 64 3-4 2003 203 10.1016/S0169-7722(02)00204-8