Inversion of airborne EM data with an explicit choice of prior model

[1]  David Annetts,et al.  Efficient Probabilistic Inversion of Airborne Electromagnetic Data Under Spatial Constraints , 2014 .

[2]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[3]  A. Christiansen,et al.  Quasi-3D modeling of airborne TEM data by spatially constrained inversion , 2008 .

[4]  A. Christiansen,et al.  A global measure for depth of investigation , 2012 .

[5]  Steen Christensen,et al.  Generation of 3‐D hydrostratigraphic zones from dense airborne electromagnetic data to assess groundwater model prediction error , 2017 .

[6]  P. Bedrosian,et al.  Airborne electromagnetic mapping of the base of aquifer in areas of western Nebraska , 2012 .

[7]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[8]  Klaus Mosegaard,et al.  Resolution analysis of general inverse problems through inverse Monte Carlo sampling , 1998 .

[9]  R. Parker,et al.  Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data , 1987 .

[10]  T. Hansen,et al.  Inverse problems with non-trivial priors: efficient solution through sequential Gibbs sampling , 2012, Computational Geosciences.

[11]  A. Tarantola,et al.  Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion (Paper 1R1855) , 1982 .

[12]  Sebastien Strebelle,et al.  Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics , 2002 .

[13]  A. Malinverno Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem , 2002 .

[14]  B. Minsley A trans-dimensional Bayesian Markov chain Monte Carlo algorithm for model assessment using frequency-domain electromagnetic data , 2011 .

[15]  Michael S. Zhdanov,et al.  3D inversion of airborne electromagnetic data using a moving footprint , 2010 .

[16]  Niels B. Christensen,et al.  A generic 1-D imaging method for transient electromagnetic data , 2002 .

[17]  Anders Vest Christiansen,et al.  A Review of Airborne Electromagnetic Methods With Focus on Geotechnical and Hydrological Applications From 2007 to 2017 , 2017 .

[18]  Thomas Mejer Hansen,et al.  Estimation and accounting for the modeling error in probabilistic linearized AVO inversion , 2017 .

[19]  Esben Auken,et al.  SkyTEM–a New High-resolution Helicopter Transient Electromagnetic System , 2004 .

[20]  Malcolm Sambridge,et al.  A holistic approach to inversion of frequency-domain airborne EM data , 2006 .

[21]  A. Christiansen,et al.  A review of helicopter‐borne electromagnetic methods for groundwater exploration , 2009 .

[22]  N. Linde,et al.  Image synthesis with graph cuts: a fast model proposal mechanism in probabilistic inversion , 2016, 1701.01593.

[23]  Rhys Hawkins,et al.  Trans-dimensional Bayesian inversion of airborne electromagnetic data for 2D conductivity profiles , 2017 .

[24]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[25]  K. G. McCracken,et al.  A comparison of electromagnetic exploration systems , 1986 .

[26]  Knud Skou Cordua,et al.  SIPPI: A Matlab toolbox for sampling the solution to inverse problems with complex prior information: Part 1 - Methodology , 2013, Comput. Geosci..

[27]  M. Sambridge,et al.  Trans-dimensional inverse problems, model comparison and the evidence , 2006 .

[28]  Douglas W. Oldenburg,et al.  Simultaneous 1D inversion of loop loop electromagnetic data for magnetic susceptibility and electrical conductivity , 2003 .

[29]  Thomas Mejer Hansen,et al.  Multiple-point statistical simulation for hydrogeological models: 3-D training image development and conditioning strategies , 2016 .

[30]  R. Lane,et al.  Exploring Through Cover - The Integrated Interpretation of High Resolution Aeromagnetic, Airborne Electromagnetic and Ground Gravity Data from the Grant’s Patch Area, Eastern Goldfields Province, Archaean Yilgarn Craton Part A: Mapping Geology using Airborne Electromagnetics (TEMPEST) , 2001 .

[31]  Andrew Binley,et al.  An overview of a highly versatile forward and stable inverse algorithm for airborne, ground-based and borehole electromagnetic and electric data , 2015 .

[32]  Esben Auken,et al.  Sharp spatially constrained inversion with applications to transient electromagnetic data , 2015 .

[33]  Knud Skou Cordua,et al.  Accounting for imperfect forward modeling in geophysical inverse problems — Exemplified for crosshole tomography , 2014 .

[34]  Andrea Viezzoli,et al.  Examples of Improved Inversion of Different Airborne Electromagnetic Datasets Via Sharp Regularization , 2017 .

[35]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[36]  Luis Tenorio,et al.  Prior information and uncertainty in inverse problems , 2001 .

[37]  Michael S. Zhdanov,et al.  3D inversion of airborne electromagnetic data , 2012 .

[38]  Torben Bach,et al.  MPSLIB: A C++ class for sequential simulation of multiple-point statistical models , 2016, SoftwareX.

[39]  Douglas W. Oldenburg,et al.  Three-dimensional inversion of airborne time-domain electromagnetic data with applications to a porphyry deposit , 2012 .

[40]  Thomas Mejer Hansen,et al.  Inverse Methods: Problem Formulation and Probabilistic Solutions , 2016 .

[41]  J. Gunning,et al.  Probabilistic inversion of airborne electromagnetic data for basement conductors , 2016 .

[42]  Niels B. Christensen,et al.  Special Section — Marine Controlled-Source Electromagnetic Methods 1D inversion and resolution analysis of marine CSEM data , 2007 .

[43]  Malcolm Sambridge,et al.  Transdimensional Monte Carlo Inversion of AEM Data , 2012 .

[44]  Knud Skou Cordua,et al.  Probabilistic Integration of Geo‐Information , 2016 .

[45]  Esben Auken,et al.  Layered and laterally constrained 2D inversion of resistivity data , 2004 .

[46]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[47]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[48]  Alexander V. Grayver,et al.  Three-dimensional parallel distributed inversion of CSEM data using a direct forward solver , 2013 .

[49]  Timothy C. Coburn,et al.  Geostatistics for Natural Resources Evaluation , 2000, Technometrics.

[50]  W. Menke Geophysical data analysis : discrete inverse theory , 1984 .

[51]  Gregoire Mariethoz,et al.  The Direct Sampling method to perform multiple‐point geostatistical simulations , 2010 .

[52]  Rhys Hawkins,et al.  Geophysical imaging using trans-dimensional trees. , 2015 .

[53]  K. Witherly,et al.  The geotech VTEM time domain helicopter em system , 2004 .

[54]  A. Elsheikh,et al.  Accounting for model error in Bayesian solutions to hydrogeophysical inverse problems using a local basis approach , 2017, Advances in Water Resources.

[55]  Caleb Plunkett,et al.  An example of 3D conductivity mapping using the TEMPEST airborne electromagnetic system , 2000 .

[56]  D. Oldenburg,et al.  Estimating depth of investigation in DC resistivity and IP surveys , 1999 .

[57]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[58]  A. Tarantola,et al.  Inverse problems = Quest for information , 1982 .

[59]  E. Somersalo,et al.  Approximation errors and model reduction with an application in optical diffusion tomography , 2006 .

[60]  Andrea Viezzoli,et al.  Quantification of modeling errors in airborne TEM caused by inaccurate system description , 2011 .

[61]  Knud Skou Cordua,et al.  SIPPI: A Matlab toolbox for sampling the solution to inverse problems with complex prior information: Part 2 - Application to crosshole GPR tomography , 2013, Comput. Geosci..

[62]  Robust 1D inversion and analysis of helicopter electromagnetic (HEM) data , 2006 .

[63]  Albert Tarantola,et al.  Monte Carlo sampling of solutions to inverse problems , 1995 .