Inverse methods : interdisciplinary elements of methodology, computation, and applications ; [proceedings volume of the Interdisciplinary Inversion Conference 1995, held at the University of Aarhus, Denmark

Over the last few decades inversion concepts have become an integral part of experimental data interpretation in several branches of science. In numerous cases similar inversion-like techniques were developed independently in separate disciplines, sometimes based on different lines of reasoning, but not always to the same level of sophistication. This book is based on the Interdisciplinary Inversion Conference held at the University of Aarhus, Denmark. For scientists and graduate students in geophysics, astronomy, oceanography, petroleum geology, and geodesy, the book offers a wide variety of examples and theoretical background in the field of inversion techniques. The Success Story Of The Transfer And Development Of Methods From Geophysics To Helioseismology / Douglas Gough -- Filtering In Inversion For Solar Internal Structure / Sarbani Basu, J. Christensen-dalsgaard, F. Perez Hernandez And M. J. Thompson -- Averaging Kernels, Error Correlation Functions And Linear Methods In Helioseismology / Rachel Howe And Michael J. Thompson -- Inversion For The Velocity Field In The Solar Interior / Jesper Schou -- On The Choice Of Trade-off Parameter In Helioseismic Sola Inversion / A. A. Stepanov And J. Christensen-dalsgaard -- Prospects For Binary Star Research Using Disentangling / Pierre Maxted -- Estimating Bidirectional Transport Parameters For The Blood-retina Barrier -- A Feasibility Study / Peter Dalgaard -- Determination And Variability Of Depth Profiles From Xps Backgrounds / Kamil L. Aminov, J. S. Jorgensen And J. B. Pedersen -- Uncertainties In Seismic Inverse Calculations / John A. Scales -- Constrained Waveform Inversion Of Seismic Well Data / Marwan Charara, C. Barnes And A. Tarantola -- Geological Information And The Inversion Of Seismic Data / Christophe Barnes, M. Charara And A. Tarantola -- A Study Of Model Covariances In Amplitude Seismic Inversion / Wences Gouveia -- Resolution And Error Propagation Analysis For Tomographic Data With Correlated Errors / Lars Nielsen And Bo Holm Jacobsen -- Estimating Background Velocity From Reflection Seismic Data -- A Feasibility Study / Lisbeth Engell-sorensen, T.-j. Moser And J. Pajchel -- Phase Migration: An Approach To Inversion Of Wide-angle Seismic Data / Konstantin S. Osypov, Zhengsheng Yao And R. G. Roberts -- Location Of Seismic Events -- A Quest For Accuracy / Wojciech Debski -- Inverse Estimation Of Parameters In Petroleum Reaction Networks / Soren B. Nielsen, T. Barth And L. C. Dahl -- Inversion Of A Simple Petroleum Expulsion Model / Jens Martin Hvid And Soren B. Inversion Of Transient Hydraulic Head Variation Caused By A Controlled Point Source / Dorte Dam, N. B. Christensen And K. I. Sorensen -- Deconvolution Of Geophysical Multioffset Resistivity Profile Data / Ingelise Moller, N. B. Christensen And B. H. Jacobsen -- Imaging Of Transient Electromagnetic Soundings Using A Scaling Approximate Frechet Derivative / Niels B. Christensen -- A Case Of Processing Design Using Inversion: Simple Gating Versus Iterative Reweighted Least Squares Inversion / M. S. Munkholm -- Inverting Magnetotelluric Data Using Genetic Algorithms And Simulated Annealing / Oliver Baumer -- Ionospheric Tomography / Manabu Kunitake -- Application Of Inversion To Global Ocean Tide Mapping / Ole B. Andersen -- Inversion Of Step-observation Equation Using Barnach's Fixed-point Principle / Wolfgang Keller -- Improving The Planar Isotropic Covariance Models / Gabriel Strykowski -- Optimal Linear Estimation Theory For Continuous Fields Of Observations / F. Sacerdote And F. Sanso -- Least Squares Adjustment Of High Degree Spherical Harmonics / Wolf-dieter Schuh -- Piecewise Polynomial Solutions To Linear Inverse Problems / Per Christian Hansen And Klaus Mosegaard -- Regularization Methods For Almost Rank-deficient Nonlinear Problems / Jerry Eriksson And Per-ake Wedin -- Constant Thermodynamic Speed Simulated Annealing / Bjarne Andresen And J. M. Gordon -- Mean Field Reconstruction With Snaky Edge Hints / Peter Alshede Philipsen, L. K. Hansen And P. Toft -- An Object-oriented Toolbox For Studying Optimization Problems / H. Lydia Deng, W. Gouveia And J. Scales -- Maximum Mixing Method / Jens Hjorth. Bo Holm Jacobsen, Klaus Moosegard, Paolo Sibani (eds.). Includes Bibliographical References And Index. The success story of the transfer and development of methods from geophysics to helioseismology....Pages 1-31 Filtering in inversion for solar internal structure....Pages 32-39 Averaging kernels, error correlation functions and linear methods in helioseismology....Pages 40-47 Inversion for the velocity field in the solar interior....Pages 48-53 On the choice of trade-off parameter in helioseismic SOLA inversion....Pages 54-59 Prospects for binary star research using disentangling....Pages 60-63 Estimating bidirectional transport parameters for the blood-retina barrier — a feasibility study....Pages 64-72 Determination and variability of depth profiles from XPS backgrounds....Pages 73-78 Uncertainties in seismic inverse calculations....Pages 79-97 Constrained waveform inversion of seismic well data....Pages 98-112 Geological information and the inversion of seismic data....Pages 113-121 A study of model covariances in amplitude seismic inversion....Pages 122-130 Resolution and error propagation analysis for tomographic data with correlated errors....Pages 131-138 Estimating background velocity from reflection seismic data — A feasibility study....Pages 139-150 Phase migration: An approach to inversion of wide-angle seismic data....Pages 151-160 Location of seismic events — A quest for accuracy....Pages 161-166 Inverse estimation of parameters in petroleum reaction networks....Pages 167-177 Inversion of a simple petroleum expulsion model....Pages 178-185 Inversion of transient hydraulic head variation caused by a controlled point source....Pages 186-196 Deconvolution of geophysical multioffset resistivity profile data....Pages 197-204 Imaging of transient electromagnetic soundings using a scaling approximate fréchet derivative....Pages 205-214 A case of processing design using inversion: Simple gating versus iterative reweighted least squares inversion....Pages 215-222 Inverting magnetotelluric data using genetic algorithms and simulated annealing....Pages 223-230 Ionospheric tomography....Pages 231-238 Application of inversion to global ocean tide mapping....Pages 239-246 Inversion of STEP-observation equation using banach's fixed-point principle....Pages 247-253 Improving the planar isotropic covariance models....Pages 254-261 Optimal linear estimation theory for continuous fields of observations....Pages 262-275 Least squares adjustment of high degree spherical harmonics....Pages 276-283 Piecewise polynomial solutions to linear inverse problems....Pages 284-294 Regularization methods for almost rank-deficient nonlinear problems....Pages 295-302 Constant thermodynamic speed simulated annealing....Pages 303-311 Mean field reconstruction with snaky edge hints....Pages 312-319 An object-oriented toolbox for studying optimization problems....Pages 320-330 Maximum mixing method....Pages 331-336