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  • concentration  (1)
  • dual control  (1)
  • 1995-1999  (2)
  • 1990-1994
  • 1
    Electronic Resource
    Electronic Resource
    Advection-diffusion in spatially random flows: Formulation of concentration covariance (1997)
    Springer
    Stochastic environmental research and risk assessment 11 (1997), S. 397-422 
    Details
    ISSN: 1436-3259
    Keywords: Random flow field ; diffusion ; concentration ; fluctuations ; covariance ; variance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract The concentration c(x,t) of a nonreactive solute undergoing advection and diffusion in a spatially random divergence-free flow field is analyzed. A leading order formulation for the spatial covariance of the concentration field, $$\overline {c'\left( {x,t} \right)c'\left( {x,t} \right)} $$ , is made. That formulation includes the velocity variability induced macrodispersive flux of the covariance field, and the smoothing effects of diffusion. Previous formulations of the concentration covariance had dropped at least one of these effects. It is shown that both these effects need to be included to obtain a qualitatively correct description of the concentration fluctuations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02427926
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  • 2
    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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