Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

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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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Product details

  • Hardback | 302 pages
  • 167.6 x 241.3 x 25.4mm | 748.44g
  • Dordrecht, Netherlands
  • English
  • 1996 ed.
  • XVIII, 302 p.
  • 0792340892
  • 9780792340898

Table of contents

Preface. Tutorial on Inverse Problems. 1. An Introduction to Inverse Problems in Partial Differential Equations for Engineers, Physicists and Mathematicians; P. DuChateau. Hydrology. 2. Interpretation of Field Tests in Low Permeability Fractured Media. Recent Experiences; J. Carrera, et al. 3. New Front Limitation Algorithm; F. Hafner, et al. 4. Identification and Reduction of Model Structure for Modeling Distributed Parameter Systems; N.-Z. Sun. 5. Results from a Comparison of Geostatistical Inverse Techniques for Groundwater Flow; D.A. Zimmerman, et al. Nonlinear Diffusion and Soil Physics. 6. Identification of the Hydraulic Diffusivity of a Soil by Inverse Method with Dual-Energy Gamma Ray Attenuation Measurements; F. Barataud, et al. 7. Identification of Parameters for Heat Conductivity Equations; N.D. Botkin. 8. Sensitivity Analysis in Parameter Identification, Test Planning and Test Evaluation Procedures for Two-Phase Flow in Porous Media; O. Kemmesies, L. Luckner. 9. An Inverse Problem for Porous Medium Equation; R. Nabokov. 10. Evaluation of Different Boundary Conditions for Independent Determination of Hydraulic Parameters Using Outflow Methods; T. Zurmuhl. Geophysical Methods. 11. Gravity Data Inversion Using Subspace Method; M. Mirzaei, et al. 12. Method to Determine Parameters of a Linear Functional Equations Set and its Application to a Lightning Location Problem; H.J.S. Dorren, R.K. Snieder. 14. Identifiability of Distributed Physical Parameters; S. Handrock-Meyer. 15. InverseScattering Problem for the Wave Equations and its Applications; L.P. Nizhnik. 16. A Descriptive Regularization Approach for a Class of Ill-Posed Nonlinear Integral Equations; T. Schroeter, B. Hofmann. 17. Parameter Estimation in Nonlinear Models by Using Total Least Squares; W.J.H. Stortelder. 18. Tikhonov Regularization for Identification Problems in Differential Equations; U. Tautenhahn. Parallel Algorithms for Inverse Problems. 19. Parameter Estimation in Multispecies Transport Reaction Systems Using Parallel Algorithms; M.W. Ziesze, et al. 20. On Design and Implementation of Parallel Algorithms for Solving Inverse Problems; W. Zimmermann, et al.
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