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  • cost-to-go function  (1)
  • fluctuation dissipation  (1)
  • 1995-1999  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Optimization of monitoring well installation time and location during aquifer decontamination (1996)
    Springer
    Water resources management 10 (1996), S. 439-462 
    Details
    ISSN: 1573-1650
    Keywords: groundwater quality monitoring ; remediation ; dual control ; cost-to-go function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geography
    Notes: Abstract An important question in the systematic and objective design of general-purpose ground-water quality monitoring networks is how to evaluate quantitatively the information they provide. However, many applications require the design of a groundwater monitoring network in conjunction with remedial action at a subsurface contamination site. In such a case, it is conceptually clear what is a successful network: One that reduces the net cost of meeting the objectives of cleanup. Uncertainty entails a cost because the natural management response to uncertainty is overdesign for the sake of conservatism (‘safety factor’). The additional information that the network provides must lead to cost reductions that outweigh its cost. This paper presents a method to determine the installation time and location of an additional monitoring well while the aquifer is being cleaned up. While rates of pumping and treatment are determined by the dual control method (a method for optimization with incomplete information) candidate well locations are ranked according to a ‘cost-to-go’ index that measures the costs expected until the goals of remediation are met. This index accounts for the cost associated with uncertainty about the system and thus is useful in appraising the value of information from new measurements in the context of the specific cleanup effort. The usefulness of the method is illustrated through application to a hypothetical two-dimensional aquifer with uncertain initial estimates of the system parameters and variables. Monte Carlo simulations demonstrate the cost effectiveness of solution obtained through this method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00422549
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Concentration fluctuations and dilution in two-dimensionally periodic heterogeneous porous media (1996)
    Springer
    Transport in porous media 22 (1996), S. 91-119 
    Details
    ISSN: 1573-1634
    Keywords: concentration fluctuations ; peak concentration ; dilution ; heterogeneity ; local dispersion ; microscale ; fluctuation dissipation ; coefficient of variation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Dilution of solute in two-dimensionally periodic heterogeneous porous media is assessed by numerically simulating advection-dispersion. The concentration fluctuations, created by advective heterogeneity, are destroyed by local dispersion, over a characteristic variance residence time (VRT). For an impulse introduction of solute, initially, plumes become increasingly irregular with time—the coefficient of variation (CV) of concentration grows with time. A priori, the spatial second moment and mean concentrations are insufficient measures of dilution, because concentration fluctuations can be large. At large times (t 〉 VRT) the relative concentration fluctuations weaken—the concentration CV was observed to slowly decrease with time. At the center of mass the general trend of the decreasing CV follows VRT/t (predicted by Kapoor and Gelhar). The VRT is found to be an increasing function of the log hydraulic conductivity microscale. In employing effective dispersion coefficents to model the mean concentration, it needs to be recognized that excursions of concentrations around the mean are singularly determined by local dispersion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00974313
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    Paper (German National Licenses)
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