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AuthorGerke, Horst H. author
TitleOptimal Control of Soil Venting: Mathematical Modeling and Applications [electronic resource] / by Horst H. Gerke, Youcef Kelanemer, Ulrich Hornung, Mariรกn Slodiฤ{141}ka, Stephan Schumacher
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1999
Connect tohttp://dx.doi.org/10.1007/978-3-0348-8732-8
Descript XV, 152 p. online resource

CONTENT

1 Introduction -- 1.1 Background and Problem -- 1.2 Objectives -- 2 Modeling Soil Venting -- 2.1 Physical Basis of the Venting Technique -- 2.2 Simulation Models -- 3 Stationary Problem and Optimal Control -- 3.1 Basic and State Equations, Objective Function -- 3.2 Mathematical Analysis, Simplifications -- 4 Well-Posedness and Optimality -- 4.1 Air Flow in a Domain with Holes -- 4.2 Air Flow with Dirac-Type Sinks -- 4.3 Non-smooth Transmissivity at Active Wells -- 4.4 Contaminant Transport in a Domain with Holes -- 4.5 Differentiation of the Transport Equations -- 5 Optimization of Simple Well Configurations -- 5.1 One Single Active Well -- 5.2 Two Active Wells -- 5.3 Configurations with a Few Wells -- 6 Estimating the Coefficients -- 6.1 Pedotransfer Model -- 6.2 Spatial Variability and Uncertainties -- 6.3 Ordinary Kriging -- 6.4 Generation of a Random Field -- 6.5 Parameter Identification of Kertess -- 7 Numerical Methods and Optimization -- 7.1 Gas Flow Field -- 8 Applications -- 8.1 Kertess -- 8.2 Kirchweyhe -- 9 Stochastic Optimization -- 9.1 Monte Carlo Optimization -- 9.2 Sensitivity Analysis -- 10 Discussions and Conclusions -- 10.1 Time Dependent Problem -- 10.2 Optimization of Well Positions in Large Scale Applications -- 10.3 Further Aspects of Stochastic Optimization


Earth sciences Sedimentology Mathematics Mathematical models Earth Sciences Sedimentology Mathematics general Mathematical Modeling and Industrial Mathematics



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