Ebook: Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

The Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, Karlsruhe, April 10-12, 1995, was organized to bring to­ gether an interdisciplinary group drawn from the areas of science, engineering and mathematics for the following purposes: - to promote, encourage and influence more understanding and cooperation in the community of parameter identifiers from various disciplines, - to forge unity in diversity by bringing together a variety of disciplines that attempt to understand the reconstruction of inner model parameters, un­ known nonlinear constitutive relations, heterogeneous structures inside of geological objects, sources or sinks from observational data, - to discuss modern regularization tools for handling improperly posed pro­ blems and strategies of incorporating a priori knowledge from the applied problem into the model and its treatment. These proceedings contain some of the results of the workshop, representing a bal­ anced selection of contributions from the various groups of participants. The reviewed invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems. Some of the issues adressed by the articles in these proceedings include the rela­ tion between least squares and direct formulations of inverse problems for partial differential equations, nonlinear regularization, identification of nonlinear consti­ tutive relations, fast parallel algorithms for large scale inverse problems, reduction of model structures, geostatistical inversion techniques.

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This volume contains the results of the workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, held in Karlsruhe, Germany, and represents a balanced selection of contributions from the various groups of participants.
The reviewed, invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems.
The book also contains the three-lecture tutorial `Introduction to Inverse Problems of Non-linear Partial Differential Equations for Physicists, Scientists and Engineers' by Paul DuChateau, held at the Workshop.
Audience: Applied mathematicians, engineers and geoscientists working in the fields of numerical methods and analysis of inverse and ill-posed problems, hydrology, ecology, soil sciences, geophysics, porous media research, water resource planning and management, and nuclear waste management.

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This volume contains the results of the workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, held in Karlsruhe, Germany, and represents a balanced selection of contributions from the various groups of participants.
The reviewed, invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems.
The book also contains the three-lecture tutorial `Introduction to Inverse Problems of Non-linear Partial Differential Equations for Physicists, Scientists and Engineers' by Paul DuChateau, held at the Workshop.
Audience: Applied mathematicians, engineers and geoscientists working in the fields of numerical methods and analysis of inverse and ill-posed problems, hydrology, ecology, soil sciences, geophysics, porous media research, water resource planning and management, and nuclear waste management.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
An Introduction to Inverse Problems in Partial Differential Equations for Physicists, Scientists and Engineers....Pages 3-50
Front Matter....Pages 51-51
Interpretation of Field Tests in Low Permeability Fractured Media. Recent Experiences....Pages 53-70
New Front Limitation Algorithm....Pages 71-90
Identification and Reduction of Model Structure for Modeling Distributed Parameter Systems....Pages 91-103
Results from a Comparison of Geostatistical Inverse Techniques for Groundwater Flow....Pages 105-120
Front Matter....Pages 121-121
Identification of the Hydraulic Diffusivity of a Soil by Inverse Method with Dual-Energy Gamma Ray Attenuation Measurements....Pages 123-132
Identification of Parameters for Heat Conductivity Equations....Pages 133-142
Sensitivity Analysis in Parameter Identification, Test Planning and Test Evaluation Procedures for Two-Phase Flow in Porous Media....Pages 143-154
An Inverse Problem for Porous Medium Equation....Pages 155-163
Evaluation of Different Boundary Conditions for Independent Determination of Hydraulic Parameters Using Outflow Methods....Pages 165-184
Front Matter....Pages 185-185
Gravity Data Inversion Using the Subspace Method....Pages 187-198
A Method to Determine Parameters of a Linear Functional Equations Set and its Application to the Lightning Location Problem....Pages 199-209
Front Matter....Pages 211-211
Stability Estimates for Inverse Problems....Pages 213-224
Identifiability of Distributed Physical Parameters....Pages 225-231
Inverse Scattering Problem for the Wave Equations and its Applications....Pages 233-238
A Descriptive Regularization Approach for a Class of Ill-Posed Nonlinear Integral Equations....Pages 239-247
Parameter Estimation in Nonlinear Models by Using Total Least Squares....Pages 249-259
Tikhonov Regularization for Identification Problems in Differential Equations....Pages 261-270
Front Matter....Pages 271-271
Parameter Estimation in Multispecies Transport Reaction Systems Using Parallel Algorithms....Pages 273-282
On Design and Implementation of Parallel Algorithms for Solving Inverse Problems....Pages 283-297
Back Matter....Pages 297-302

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This volume contains the results of the workshop on Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, held in Karlsruhe, Germany, and represents a balanced selection of contributions from the various groups of participants.
The reviewed, invited and contributed articles are grouped according to the broad headings of hydrology, non-linear diffusion and soil physics, geophysical methods, mathematical analysis of inverse and ill-posed problems and parallel algorithms for inverse problems.
The book also contains the three-lecture tutorial `Introduction to Inverse Problems of Non-linear Partial Differential Equations for Physicists, Scientists and Engineers' by Paul DuChateau, held at the Workshop.
Audience: Applied mathematicians, engineers and geoscientists working in the fields of numerical methods and analysis of inverse and ill-posed problems, hydrology, ecology, soil sciences, geophysics, porous media research, water resource planning and management, and nuclear waste management.
Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
An Introduction to Inverse Problems in Partial Differential Equations for Physicists, Scientists and Engineers....Pages 3-50
Front Matter....Pages 51-51
Interpretation of Field Tests in Low Permeability Fractured Media. Recent Experiences....Pages 53-70
New Front Limitation Algorithm....Pages 71-90
Identification and Reduction of Model Structure for Modeling Distributed Parameter Systems....Pages 91-103
Results from a Comparison of Geostatistical Inverse Techniques for Groundwater Flow....Pages 105-120
Front Matter....Pages 121-121
Identification of the Hydraulic Diffusivity of a Soil by Inverse Method with Dual-Energy Gamma Ray Attenuation Measurements....Pages 123-132
Identification of Parameters for Heat Conductivity Equations....Pages 133-142
Sensitivity Analysis in Parameter Identification, Test Planning and Test Evaluation Procedures for Two-Phase Flow in Porous Media....Pages 143-154
An Inverse Problem for Porous Medium Equation....Pages 155-163
Evaluation of Different Boundary Conditions for Independent Determination of Hydraulic Parameters Using Outflow Methods....Pages 165-184
Front Matter....Pages 185-185
Gravity Data Inversion Using the Subspace Method....Pages 187-198
A Method to Determine Parameters of a Linear Functional Equations Set and its Application to the Lightning Location Problem....Pages 199-209
Front Matter....Pages 211-211
Stability Estimates for Inverse Problems....Pages 213-224
Identifiability of Distributed Physical Parameters....Pages 225-231
Inverse Scattering Problem for the Wave Equations and its Applications....Pages 233-238
A Descriptive Regularization Approach for a Class of Ill-Posed Nonlinear Integral Equations....Pages 239-247
Parameter Estimation in Nonlinear Models by Using Total Least Squares....Pages 249-259
Tikhonov Regularization for Identification Problems in Differential Equations....Pages 261-270
Front Matter....Pages 271-271
Parameter Estimation in Multispecies Transport Reaction Systems Using Parallel Algorithms....Pages 273-282
On Design and Implementation of Parallel Algorithms for Solving Inverse Problems....Pages 283-297
Back Matter....Pages 297-302
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