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Optimal Control of Soil Venting: Mathematical Modeling and Applications
von Marian Slodicka, Horst H. Gerke, Urs Hornung, Youcef Kelanemer und Stephan SchumacherInhaltsverzeichnis
- 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.