Optimal Control of Soil Venting: Mathematical Modeling and Applications

Bibliographic Details
Main Authors: Slodicka, Marian, Gerke, Horst H. (Author), Hornung, Urs (Author), Kelanemer, Youcef (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 1999, 1999
Edition:1st ed. 1999
Series:International Series of Numerical Mathematics
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