Strategies to determine dispersivities in heterogeneous aquifers

  • D. Fernàndez-Garcia
  • J. Jaime Gómez-Hernández
Conference paper


Representative Elemental Volume Tracer Test Source Size Heterogeneous Porous Medium Heterogeneous Aquifer 
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  1. Aris R (1958) On the dispersion of linear kinematic waves. Proc. R. Soc. London, Series A, 245: 268–277Google Scholar
  2. Carrera J, Walters GR (1985) Theoretical developments regarding simulation and analysis of convergent-flow tracer tests: Technical Report for Sandia National Laboratories. Technical University of Catalonia, BarcelonaGoogle Scholar
  3. Carrera J, Medina A, Axness C, Zimmerman T (1997) Formulations and computational issues of the inversion of random fields, in Subsurface Flow and Transport: A stochastic Approach. International Hydrology Series. Dagan G and Neuman SP (eds.), 62–79Google Scholar
  4. Cirpka OA, Kitanidis PK (2000) Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments, Water Resour. Res., 36(5): 1221–1236Google Scholar
  5. Dagan, G (1984) Solute transport in heterogeneous porous formations. J. Fluid Mech., 145: 151–177Google Scholar
  6. Das BS, Govindaraju RS, Kluitenberg GJ, Valocchi AJ, Wraith JM (2002) Theory and applications of time moment analysis to study the fate of reactive solutes in soil. Stochastic Methods in Subsurface Contaminant Hydrology, ASCE press, Govindaraju RS (ed.), 239–279Google Scholar
  7. Dentz M, Kinzelbach H, Attinger S, Kinzelbach W (2000) Temporal behavior of a solute cloud in a heterogeneous porous medium 1. Point-like injection, Water Resour. Res., 36(12): 3591–3604Google Scholar
  8. Fernàndez-Garcia D, Illangasekare TH, Rajaram H (2004) Conservative and sorptive forced-gradient and uniform flow tracer tests in a three-dimensional laboratory test aquifer. Water Resour. Res., 40, in printGoogle Scholar
  9. Freyberg DL (1986) A natural gradient experiment on solute transport in a sand aquifer. 2. Spatial moments and the advection and dispersion of nonreactive tracers. Water Resour. Res., 22(13): 2031–2046Google Scholar
  10. 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): 1575–1585Google Scholar
  11. Harbaugh AW, Banta ER, Hill MC, McDonald MG (2000) MODFLOW-2000, The U.S. Geological Survey Modular Ground-Water Model-user guide to modularization concepts and the ground-water flow process. U. S. Geol. Surv. Open File Rep., 00-92, p. 121Google Scholar
  12. Kendall M, Stuart A (1977) The Advanced Theory of Statistics. Macmillan, New York.Google Scholar
  13. Kreft A, Zuber A (1978) On the physical meaning of the dispersion equation and its solution for different initial and boundary conditions. Chem. Eng. Sci., 33: 1471–1480Google Scholar
  14. Labolle EM, Fogg GE, Tompson AFB (1996) Random-walk simulation of transport in heterogeneous porous media: local mass-conservation problem and implementation methods. Water Resour. Res., 32(3): 583–593CrossRefGoogle Scholar
  15. Mackay DM, Freyberg DL, Roberts PV, Cherry JA (1986) A Natural Gradient Experiment on Solute Transport in a Sand Aquifer, 1. Approach and Overview of Plume Movement. Water Resour. Res., 22(13): 2017–2029Google Scholar
  16. LeBlanc DR, Garabedian SP, Hess KM, Gelhar LW, Quadri RD, Stollenwerk KG, Wood WW (1991) Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 1. Experimental Design and Observed Tracer Movement. Water Resour. Res., 27(5): 895–910CrossRefGoogle Scholar
  17. Parker JC, van Genuchten MT (1984) Flux-averaged and volume-averaged concentrations in continuum approaches to solute transport. Water Resour. Res., 20(7): 866–872.Google Scholar
  18. Poeter EP, Hill MC (1997) Inverse Models: A necessary next step in ground-water modeling. Ground Water, 35(2): 250–260CrossRefGoogle Scholar
  19. Rajaram H, Gelhar LW (1993) Plume scale-dependent dispersion in heterogeneous aquifers 2. Eulerian analysis and three-dimensional aquifers, Water Resour. Res., 29(9): 3261–3276Google Scholar
  20. Rubin Y, Dagan G (1989) Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifers, 1. Impervious boundary, Water Resour. Res., 25(4): 707–712Google Scholar
  21. Rubin Y, Dagan G (1988) Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifers, 1. Constant head boundary, Water Resour. Res., 24(10): 1689–1697Google Scholar
  22. Sauty J P (1980) An analysis of hydrodispersive transfer in aquifers. Water Resour. Res, 16(1): 145–158Google Scholar
  23. Shapiro A M, Cvetkovic V D (1988) Stochastic analysis of solute arrival time in heterogeneous porous media. Water Resour. Res., 24(10): 1711–1718Google Scholar
  24. Tompson A F B, Gelhar L W (1990) Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media. Water Resour. Res., 26(10): 2541–2562CrossRefGoogle Scholar
  25. Valocchi A (1985) Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils. Water Resour. Res., 21(6): 808–820CrossRefGoogle Scholar
  26. Vanderborght J, Mallants D, Feyen J (1998) Solute transport in a heterogeneous soil for boundary and initial conditions: Evaluation of first-order approximations, Water Resour. Res., 34(12):3255–3270, 1998CrossRefGoogle Scholar
  27. Welty C, Gelhar L W (1994) Evaluation of longitudinal dispersivity from nonuniform flow tracer tests. Journal of Hydrology, 153: 71–102CrossRefGoogle Scholar
  28. Wen X-H, Gómez-Hernández J J (1996) The constant displacement scheme for tracking particles in heterogeneous aquifers. Ground Water, 34(1): 135–142.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • D. Fernàndez-Garcia
    • 1
  • J. Jaime Gómez-Hernández
    • 1
  1. 1.Institute of Water and Environmental EngineeringUniversidad Politécnica de ValenciaValenciaSPAIN

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