LOCAL DETERMINATION OF VELOCITY AND DISPERSIVITY IN GROUNDWATER FLOW
Keywords:
Groundwater, dispersion, pollution, tracer injectionAbstract
Velocities and dispersivities are both pre-requisite in view to simulate tracer or contaminant spreading in the field as a dispersion phenomenon. Moreover they should be determined under field conditions. According to these premisses, we conducted two experiments to perform their measurements. The first one consisted of injecting water in the flow field from a well and then observing evolution towards the new steady state. The hydraulic diffusivity was evaluated by fitting the experimental heads h(r,t) to the computed ones. Once the injection cutoff we supposed all water discharging in the aquifer originates from the well in view to deduce the hydraulic conductivity and the the specific yield . Then the velocity was computed directly on use of Darcy’s equation. The second experiment is a single well injection test with two observation wells. It was monitored by measuring the electrical resistivity of the salt tracer in the piezometers. Horizontal dispersivity is determined by adjusting experimental and numerical data.The value thus obtained is close to the one estimated with the analytical models. Transverse dispersivity is computed with the semi-analytical formulae.References
- Neuman S.P., "Universal scaling of hydraulic conductivities and dispersivities in geologic media", Water Resources Research, 26 (8), (1990), pp.1749-1758.
- Gelhar L.W., Welty C. and Rehfeldt K.R., "A critical review of data on field-scale dispersion in aquifers", Water Resources Research, 28(7), ((1992), pp.1955-1974.
- Matheron G., de Marsily G., "Is transportation in porous media always diffusive? A counter example", Water Resources Research, 16 (5), (1980), pp.901-917.
- Wheatcraft S.W. and Tyler S.W., "An explanation of scale-dependant dispersivity in heteregeneous aquifers using concepts of fractal geometry", Water Resources Research, 24 (4), (1988), pp.566-578.
- Fernandez D.G., Illangasekare T.H., Rajaram H., "Scale dependence of dispersivity 15. estimated from temporal moments in heterogeneous porous media", Hydrology Days, Fort Collins, Colorado 31 march- 02 april (2003).
- Trefry M.G. Ruan F.P, McLaughin D., "Numerical simulations of preasymptotic transport in heterogeneous porous media : Departures from the Gaussian limit", Water Resources Research, 39, (3), (2003), p.1063.
- Domenico P.A. and Schwartz F.W., "Physical and Chemical Hydrogeology", John Wiley & Sons, 2nd Edition, (1997), p. 506.
- Gehlar L.W. and Axness C.L., "Three dimensional stochastic analysis of macrodispersion in aquifers", Water Res. Research, 19 (1), (1983), pp.161-180.
- Fried J.L., "Groundwater Pollution", Elsevier New York, (1975).
- Dagan G., "Stochastic modelling of groundwater flow by unconditional and conditional probabilities.2. The solute transport", Water Resources Research, 18 (4), (1982), pp.835-848.
- Gehlar L.W., "Stochastic subsurface hydrology", Prentice Hall, Englewoods Cliffs, New Jersey, (1993), p.390.
- Bear J., "Dynamics of fluids in porous media", Elsevier, New York (1972).
- Zheng C. and Bennett G.D., "Applied Contaminant Transport Modeling: Theory and Practice", Van Nostrand Reinhold, New York, NY, 440 p. (1995).
- Gorez R. et Johnson D., "Identification des paramètres hydrauliques du sol à la place Sainte-Barbe", rapport interne du Lab. d’Automatique et d’Analyse des Systèmes, UCL, (1974).
- Guadagnini A., Vila X.S., "Mean travel time of conservative solutes in randomly heterogeneous unbounded domain under mean uniform flow", Water resources research, 39 (3), (2003), p.1050.
- Sauty J.P., "An analysis of hydrodispersive transfert in aquifers", Water Res. Research, 16(1), (1980), pp.145-158.
- Anderson M.P., "Using models to simulate the movement of contaminant through groundwater flow systems", CRC Crit. Rev. Environ. Control, 9, (1979), pp.97-156.
- Xu M. and Eckstein Y., "Use of weighted least-squares method in evaluation of the relationship between dispersivity and field scale", Ground Water, 33(6), (1995), pp.905-908.
- Brouyère S., "Modeling tracer injection and well-aquifer interactions: a new mathematical and numerical approach", Water Res. research, 39 (3), (2003), p.1070.
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