Optimal Control of Soil Venting: Mathematical Modeling and Applications

Inhaltsverzeichnis

• 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.