Stochastic borehole radar velocity and attenuation tomographies using cokriging and cosimulation

Journal of Applied Geophysics

Volumn 62, Issue 2, 2007, Pages 141-157

  Gloaguen, Erwan ^a   Marcotte, Denis ^b   Giroux, Bernard ^b   Dubreuil Boisclair, Camille ^b   Chouteau, Michel ^b   Aubertin, Michel ^b  

^a PRINCETON UNIVERSITY   (United States)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

GPR; Stochastic tomography

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CLUSTER ANALYSIS; COMPUTER SIMULATION; GROUND PENETRATING RADAR SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; TOMOGRAPHY;

BOREHOLE RADAR VELOCITY; COKRIGING; COSIMULATION; COVARIANCE MODELING; STOCHASTIC TOMOGRAPHY; VELOCITY FIELDS;

GEOPHYSICS;

ALGORITHM; BOREHOLE GEOPHYSICS; CLUSTER ANALYSIS; COMPUTER SIMULATION; COVARIANCE ANALYSIS; DATA INVERSION; DATA PROCESSING; DATA SET; ELECTRICAL METHOD; GROUND PENETRATING RADAR; KRIGING; MINE WASTE; PILE; RADAR IMAGERY; TOMOGRAPHY;

EID: 34248199291     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappgeo.2006.10.001     Document Type: Article

References (37)

1. Alumbaugh D.L., and Newman G.A. Image appraisal for 2D and 3D EM inversion. Geophysics 65 (2000) 1455-1467
2. Asli M., Marcotte D., and Chouteau M. Direct inversion of gravity data by cokriging. 6th Intl. Geost. Congress (2000), Afrique du Sud, Cape Town 64-73
3. Aubertin, M., Bussière, B., Bernier, L., 2002. Environnement et gestion des résidus miniers. Manuel on CD-ROM, Presses internationales Polytechnique, Montréal.
4. Balanis C.A. Advanced Engineering Electromagnetics (1989), John Wiley and Son, New York 981 pp.
5. Becht A., Tronicke J., Appel E., and Dietrich P. Inversion strategy in crosshole radar tomography using information of data subsets. Geophysics 69 1 (2004) 222-230
6. Bellefleur G., Chouteau M.C., and Sénéchal P. Potentials pitfalls for amplitude inversion revealed by overlapping radar surveys. Proc. of GPR'2000, Gold Coast, Australia (2000) 126-131
7. Berryman J.G. Nonlinear Inversion and tomography. Lecture Notes, Earth Ressources Laboratory (1991), MIT 135 pp.
8. Cai W., Qin F., and Schuster G.T. Electromagnetic velocity inversion using 2-D Maxwell's equations. Geophysics 61 4 (1996) 1007-1021
9. Day-Lewis F.D., Singha K., and Binley A.M. Applying petrophysical models to radar travel time and electrical resistivity tomograms: resolution-dependent limitations. J. Geophys. Res. 110 (2005) B0826
10. Chilès J.-P., and Delfiner P. Geostatistics, Modeling Spatial Uncertainty. Wiley Series on Probability and Statistics (1999) 695 pp.
11. Eppstein M.J., and Dougherty D.E. Optimal 3-D travel time tomography. Geophysics 63 3 (1998) 1053-1061
12. Franklin J.N. Well-posed stochastic extensions of ill-posed linear problems. J. Math. Anal. Appl. 31 (1970) 682-716
13. Giroux, B., 2001. Auscultation des barrages en béton par écoute microsismique: Détectabilité et localisation des événements. PhD thesis, Ecole Polytechnique de Montréal, Québec, 228 pp.
14. Gloaguen E., Chouteau M., Marcotte D., and Chapuis R. Estimation of hydraulic conductivity of an unconfined aquifer using cokriging of GPR and hydrostratigraphical data. J. Appl. Geophys. 47 (2001) 135-152
15. Gloaguen E., Chouteau M., and Marcotte D. Borehole velocity tomography with velocity constraints along holes using slowness covariance estimation and cokriging. Rundtisch Gesprach, Nossen, Germany (2003) 35-39
16. Gloaguen E., Marcotte D., and Chouteau M. A non linear GPR tomographic inversion algorithm based on iterated cokriging and conditional simulations. In: Deutsch, and Leuangthong (Eds). Proceedings of Geostat2004 (2004) 409-418
17. Gloaguen E., Marcotte D., Chouteau M., and Perroud H. Borehole radar velocity inversion using cokriging and cosimulation. J. Appl. Geophys. 57 (2005) 242-259
18. 2 estimation, Paris, France (2005) 13-17
19. Hollender, F., 1999. Interprétation de la distorsion des signaux géoradar propagés et réfléchis. PhD thesis, INPG, 285 pp.
20. Holliger K., and Bergmann T. Numerical modeling of borehole georadar data. Geophysics 67 (2002) 1249-1257
21. Hu L.Y. Gradual deformation and iterative calibration of Gaussian-related stochastic models. Math. Geol. 32 1 (2000) 87-108
22. Hyndman D., and Tronicke J. Hydrogeophysical studies at the local scale: the saturated zone. Hydrogeophysics, Water Science and Technology Library (2005), Springer, NY 391-412
23. Kitanidis P.K. Quasi-linear geostatistical theory for inversing. Water Resour. Res. 31 10 (1995) 2511-2519
24. Lane J.W., Koesten P.K., Haeni F.P., Vendl M., and Yeskis D. Use of borehole radar methods to monitor the movement of a saline tracer in carbonate rock at Belvidere, Illinois. Proc, SAGEEP, Chicago, Illinois (1998) 323-332
25. Le Ravalec M., and Noetinger B. Optimization with the gradual deformation method. Math. Geol. 34 (2002) 125-142
26. Le Ravalec M., Noetinger B., and Hu L.Y. The FFT Moving Average Generator: an efficient numerical method for generating and conditioning Gaussian simulations. Math. Geol. 32 (2000) 701-723
27. Lesmes D.P., and Friedman S.P. Relationships between the electrical and hydrogeophysical properties of rock and soils. Hydrogeophysics, Water Science and Technology Library (2005), Springer, NY 87-128
28. Molson J.W., Fala O., Aubertin M., and Bussière B. Numerical simulations of pyrite oxidation and acid mine drainage in unsaturated waste rock piles. J. Contam. Hydrol. 78 4 (2005) 343-371
29. Moser T.J. Shortest path calculation of seismic rays. Geophysics 56 (1991) 59-67
30. Nabney I.T. Netlab: Algorithms for Pattern Recognition (2004), Springer, London 420 pp.
31. Quan Y., and Harris J.M. Seismic attenuation tomography using the frequency shift method. Geophysics 62 3 (1997) 895-905
32. Topp G.C., Davis J.L., and Annan A.P. Electromagnetic determination of soil water content: measurements in coaxial transmission lines. Water Resour. Res. 16 (1980) 574-582
33. Tronicke J., Dietrich P., Wahlig U., and Apel E. Integrating surface georadar and crosshole radar tomography: a validation experiment in braided stream deposit. Geophysics 67 (2002) 1495-1504
34. Tronicke J., Holliger K., Barrash W., and Knoll M.D. Multivariate analysis of cross-hole georadar velocity and attenuation tomograms for aquifer zonation. Water Resour. Res. 40 (2004) WO1519 10.1029/2003WR002031
35. Vasco D.W., Peterson J.E., and Majer E.L. Nonuniqueness in travel-time tomography: ensemble inference and cluster analysis. Geophysics 61 (1996) 1209-1227
36. Vasco D.W., Peterson J.E., and Ha Lee. GPR velocity tomography in heterogeneous and anisotropic media. Geophysics 62 (1997) 1758-1773
37. Zhou B., and Fullagar P.K. Delineation of sulfide orezones by borehole radar tomography at Hellyer mine, Australia. J. Appl. Geophys. 47 (2001) 261-269