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Optimal Control of Soil Venting: Mathematical Modeling and Applications

Marian Slodicka, Horst H. Gerke, Urs Hornung, Youcef Kelanemer, Stephan Schumacher (Autoren)

Buch | Hardcover

XV, 152 Seiten

1999
Springer Basel (Verlag)
978-3-7643-6041-2 (ISBN)

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A description of the latest and most appropriate mathematical and numerical methods for optimizing soil venting. The monograph considers mathematical, numerical, and technical aspects as well as their practical significance. This book will be of interest to applied mathematicians, geophysicists, geoecologists, soil physicists, and environmental engineers.

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.

Erscheint lt. Verlag	1.2.1999
Reihe/Serie	International Series of Numerical Mathematics
Zusatzinfo	XV, 152 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	930 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Geowissenschaften ► Geologie
Schlagworte	Angewandte Mathematik • Digital Elevation Model • Erdwissenschaften • Hydrologie • Kriging • Numerical analysis • Optimization • Soil
ISBN-10	3-7643-6041-0 / 3764360410
ISBN-13	978-3-7643-6041-2 / 9783764360412
Zustand	Neuware