Hydrological Processes · 2000 · 22 citations · 26 references
Natural SciencesEarth SciencesHydrologyGroundwater ManagementStochastic ModelingUncertainty QuantificationAquifer CharacterizationAquifer FlowAquifer HeterogeneityAquifer PropertiesGroundwater ContaminationGroundwater ModelingAquifer SimulationContaminant Transport ModellingGroundwater Contaminant TransportGroundwater Flow SimulationGroundwater SimulationNumerical ModellingStochastic Groundwater ModelingWell Capture Zones
The paper reviews the problems of uncertainty in the definition of aquifer properties and the scale-dependence of dispersion with specific regard to well-capture zones. Stochastic methods have been developed in response to the problems of characterizing aquifer properties for contaminant transport modelling, as they provide a formal framework for the treatment of uncertainty. Their use for well-capture zone analysis, however, has been neglected so far. In this paper a stochastic numerical modelling procedure is presented, based on conditional geostatistical simulation of fine-scale aquifer structure, which is shown to reproduce stochastic analytical properties. The methodological approach is applied to the analysis of uncertainty in well-protection zones, and implications of the results for groundwater management are discussed. Copyright © 2000 John Wiley & Sons, Ltd.
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Solute transport in heterogeneous porous formations
Gédéon Dagan · Journal of Fluid Mechanics · 1984 · 938 citations