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" Optimal Control of Soil Venting: Mathematical Modeling and Applications "
by Horst H. Gerke, Youcef Kelanemer, Ulrich Hornung, Marián Slodička, Stephan Schumacher.
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BL
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| Record Number
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577067
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b406286
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| Main Entry
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Gerke, Horst H.
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| Title & Author
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Optimal Control of Soil Venting: Mathematical Modeling and Applications\ by Horst H. Gerke, Youcef Kelanemer, Ulrich Hornung, Marián Slodička, Stephan Schumacher.
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| Publication Statement
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Basel :: Birkhäuser Basel :: Imprint: Birkhäuser,, 1999.
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| Series Statement
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ISNM International Series of Numerical Mathematics ;; 127
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| ISBN
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9783034887328
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: 9783034897471
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| Contents
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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.
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| Abstract
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No more than about 10 years ago, it seemed to be unrealistic to simulate the com plex flow, transport, and transformation processes of organic compounds in multi-phase systems of water-unsaturated soils (Schwille [Sch84]). Numerical solutions of compre hensive models consisting, for instance, of a system of three partial differential equations and chemical reactions based on local thermodynamic equilibrium assumption (Abriola and Pinder [AP85a]), were at that time regarded as far too computational expensive; optimizations seemed to be by far not practicable using such numerical models. How ever, even more complex mathematical models have been developed since then, like, for example, by considering the temperature-dependency of processes and non-equilibrium phase-transfers, or the increase of the number of components and spatial dimensions in volved (e. g. , Bear and Nitao [BN92]). Those models require efficient numerical solution algorithms adopted to the possibilities of the latest computer developments. The book describes the work of a three years research project funded by the The Federal Ministry for Education, Science, Research and Technology (BMBF), Grant Number 03-H07BWM. The idea for the project was developed by Prof. Dr. Ulrich Hornung, Dr. Dirk Stegemann, and Dr. Horst H. Gerke in late 1992 after intensive discussions about the BMBF-opened program (Die anwendungsorientierte Verbundprojekte auf dem Ge biet der Mathematik des Bundesministerium fur Bildung, WissenschaJt, Forschung und Technologie) on applied mathematics in industrial areas. Dr. Stegemann worked at that time for the company GEO-data, Garbsen near Hannover.
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Mathematics.
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Kelanemer, Youcef.
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Hornung, Ulrich.
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Slodička, Marián.
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Schumacher, Stephan.
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SpringerLink (Online service)
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