Optimal Control of Soil Venting: Mathematical Modeling and Applications
Main Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
Basel
Birkhäuser
1999, 1999
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Edition: | 1st ed. 1999 |
Series: | International Series of Numerical Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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