Underground structure defect detection and reconstruction using crosshole GPR and Bayesian waveform inversion

Daniels, 2004 Szymczyk, 2015, Non-destructive building investigation through analysis of GPR signal by S-transform, Autom. Constr., 55, 35, 10.1016/j.autcon.2015.03.022 Li, 2015, Uncertainty-aware geospatial system for mapping and visualizing underground utilities, Autom. Constr., 55, 105, 10.1016/j.autcon.2015.03.011 Hinnell, 2010, Improved extraction of hydrologic information from geophysical data through coupled hydrogeophysical inversion, Water Resour. Res., 46, W00D40, 10.1029/2008WR007060 Klotzsche, 2010, Full-waveform inversion of cross-hole ground-penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland, Near Surface Geophysics, 8, 635, 10.3997/1873-0604.2010054 Cordua, 2012, Monte Carlo full-waveform inversion of crosshole GPR data using multiple-point geostatistical a priori information, Geophysics, 77, H19, 10.1190/geo2011-0170.1 Harry, 2009 Lakshminarayanan, 1979, Methods of least squares and SIRT in reconstruction, J. Theor. Biol., 76, 267, 10.1016/0022-5193(79)90313-8 Tarantola, 1982, Generalized nonlinear inverse problems solved using the least squares criterion, Rev. Geophys., 20, 219, 10.1029/RG020i002p00219 Trampert, 1990, Simultaneous iterative reconstruction technique: physical interpretation based on the generalized least squares solution, J. Geophys. Res. Solid Earth, 95, 12553, 10.1029/JB095iB08p12553 Slob, 2010, Uncertainty in ground penetrating radar models, 1 Trainor-Guitton, 2011, Stochastic inversion for electromagnetic geophysics: practical challenges and improving convergence efficiency, Geophysics, 76, F373, 10.1190/geo2010-0223.1 Mosegaard, 1995, Monte Carlo sampling of solutions to inverse problems, J. Geophys. Res., 100, 12431, 10.1029/94JB03097 Linde, 2006, Improved hydrogeophysical characterization using joint inversion of cross-hole electrical resistance and ground-penetrating radar traveltime data, Water Resour. Res., 42, W12404, 10.1029/2006WR005131 Bikowski, 2012, Integrated analysis of waveguide dispersed GPR pulses using deterministic and Bayesian inversion methods, Near Surface Geophysics, 10, 641, 10.3997/1873-0604.2012041 Dafflon, 2012, Three-dimensional stochastic estimation of porosity distribution: benefits of using ground-penetrating radar velocity tomograms in simulated-annealing-based or Bayesian sequential simulation approaches, Water Resour. Res., 48, 1, 10.1029/2011WR010916 Laloy, 2012, Mass conservative three-dimensional water tracer distribution from Markov chain Monte Carlo inversion of time-lapse ground-penetrating radar data, Water Resour. Res., 48, 1, 10.1029/2011WR011238 Scholer, 2012, Bayesian Markov-chain-Monte-Carlo inversion or time-lapse crosshole GPR data to characterize the vadose zone at the Arrenaes Site, Denmark, Vadose Zone J., 11, 1, 10.2136/vzj2011.0153 Linde, 2013, Distributed soil moisture from crosshole ground-penetrating radar travel times using stochastic inversion, Vadose Zone J., 12, 1, 10.2136/vzj2012.0101 Lochbuhler, 2015, Summary statistics from training images as prior information in probabilistic inversion, Geophys. J. Int., 201, 157, 10.1093/gji/ggv008 Heimovaara, 2004, Obtaining the spatial distribution of water content along a TDR probe using the SCEM-UA Bayesian inverse modeling scheme, Vadose Zone J., 3, 1128, 10.2136/vzj2004.1128 Dines, 1979, Computerized geophysical tomography, 67, 1065 Williamson, 1993, Resolution limits in ray tomography due to wave behavior: Numerical experiments, Geophysics, 58, 727, 10.1190/1.1443457 Tarantola, 1984, Inversion of seismic reflection data in the acoustic approximation, Geophysics, 49, 1259, 10.1190/1.1441754 Tarantola, 1986, A strategy for nonlinear elastic inversion of seismic reflection data, Geophysics, 51, 1893, 10.1190/1.1442046 Ernst, 2007, Application of a new 2D time-domain full-waveform inversion scheme to crosshole radar data, Geophysics, 72, J53, 10.1190/1.2761848 Ernst, 2007, Full-waveform inversion of crosshole radar data based on 2-D finite-difference time-domain solutions of Maxwell's equations, 45, 2807 Kalogeropoulos, 2011, Chlorides and moisture assessment in concrete by GPR full waveform inversion, 9, 277 Meles, 2012, GPR full-waveform sensitivity and resolution analysis using an FDTD adjoint method, 50, 1881 Klotzsche, 2013, 3-D characterization of high-permeability zones in a gravel aquifer using 2-D crosshole GPR full-waveform inversion and waveguide detection, Geophys. J. Int., 159, 932, 10.1093/gji/ggt275 Kalogeropoulos, 2013, Full-waveform GPR inversion to assess chloride gradients in concrete, NDT & E Int., 57, 74, 10.1016/j.ndteint.2013.03.003 Oberrohrmann, 2013, Optimization of acquisition setup for cross-hole GPR full-waveform inversion using checkerboard analysis, 11, 197 Yang, 2013, Improvements in crosshole GPR full-waveform inversion and application on data measured at the Boise Hydrogeophysics Research Site, J. Appl. Geophys., 99, 114, 10.1016/j.jappgeo.2013.08.007 Busch, 2014, Improved characterization of fine-texture soils using on-ground GPR full-waveform inversion, 52, 3947 Gueting, 2015, Imaging and characterization of facies heterogeneity in an alluvial aquifer using GPR full-waveform inversion and cone penetration tests, J. Hydrol., 524, 680, 10.1016/j.jhydrol.2015.03.030 ter Braak, 2008, Differential evolution Markov chain with snooker updater and fewer chains, Stat. Comput., 18, 435, 10.1007/s11222-008-9104-9 Vrugt, 2008, Inverse modeling of subsurface ow and transport properties: a review with new developments, Vadose Zone J., 7, 843, 10.2136/vzj2007.0078 Vrugt, 2009, Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling, Int. J. Non Linear Sci. Numer. Simul., 10, 271, 10.1515/IJNSNS.2009.10.3.273 Yee, 1966, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, AP-14, 302 Tarantola, 1982, Inverse problems=quest for information, J. Geophys., 50, 159 Rosas-Carbajal, 2014, Two-dimensional probabilistic inversion of plane-wave electromagnetic data: methodology, model constraints and joint inversion with electrical resistivity data, Geophys. J. Int., 193, 1508, 10.1093/gji/ggt482 Metropolis, 1953, Equation of state calculations by fast computing machines, J. Chem. Phys., 21, 1087, 10.1063/1.1699114 ter Braak, 2008, A Markov chain Monte Carlo version of the genetic algorithm differential evolution: easy Bayesian computing for real parameter spaces, Stat. Comput., 16, 239, 10.1007/s11222-006-8769-1 Storn, 1997, Differential evolution — a simple and efficient heuristic for global optimization over continuous spaces, J. Glob. Optim., 11, 341, 10.1023/A:1008202821328 Price, 2005 Vrugt, 2015, Markov chain Monte Carlo simulation using the DREAM software package: theory, concepts, and MATLAB implementation, Environ. Model Softw. Laloy, 2013, Efficient posterior exploration of a high-dimensional groundwater model from two-stage Markov chain Monte Carlo simulation and polynomial chaos expansion, Water Resour. Res., 49, 2664, 10.1002/wrcr.20226 Taflove, 1995, Computational electrodynamics: the finite-difference time-domain method Holliger, 2002, Numerical modeling of borehole georadar data, Geophysics, 67, 1249, 10.1190/1.1500387 Irving, 2006, Numerical modeling of ground-penetrating radar in 2-D using MATLAB, Comput. Geosci., 39, 1247, 10.1016/j.cageo.2005.11.006 Ernst, 2006, Realistic FDTD modelling of borehole georadar antenna radiation: methodolgy and application, 4, 19 Liu, 2007, FDTD simulations for ground penetrating radar in urban applications, J. Geophys. Eng., 4, 262, 10.1088/1742-2132/4/3/S04 Giannopoulos, 2005, Modelling ground penetrating radar by gprmax, Constr. Build. Mater., 19, 755, 10.1016/j.conbuildmat.2005.06.007 Ahmed, 1974, Discrete cosine transform, 100, 90 Jafarpour, 2009, Transform-domain sparsity regularization for inverse problems in geosciences, Geophysics, 74, R69, 10.1190/1.3157250 Gilbert, 1972, Iterative methods for the three-dimensional reconstruction of an object from projections, J. Therm. Biol., 36, 105, 10.1016/0022-5193(72)90180-4 Ricker, 1953, The form and laws of propagation of seismic wavelets, Geophysics, 18, 10, 10.1190/1.1437843 Jeffreys, 1946, An invariant form for the prior probability in estimation problems, 186, 453 Gelman, 1992, Inference from iterative simulation using multiple sequences, Stat. Sci., 7, 457, 10.1214/ss/1177011136 Vignoli, 2012, Focused inversion of vertical radar profile (VRP) traveltime data, Int. J. Non Linear Sci. Numer. Simul., 77, H9 Sachs, 2011, Trapped victim detection by pseudo-noise radar, 265 Chicarella, 2014, Analyses and measures of GPR signal with superimposed noise, 16, 5387