Time-domain-induced polarization: Full-decay forward modeling and 1D laterally constrained inversion of Cole-Cole parameters

Geophysics

Volumn 77, Issue 3, 2012, Pages

  Fiandaca, Gianluca ^a,b   Auken, Esben ^b   Christiansen, Anders Vest ^c   Gazoty, Aurélie ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b AARHUS UNIVERSITY   (Denmark)

^c GEOLOGICAL SURVEY OF DENMARK AND GREENLAND   (Denmark)

Author keywords

Induced polarization (IP); Inversion; Modeling; Spectral analysis

Indexed keywords

CODES (SYMBOLS); LAND FILL; LOW PASS FILTERS; MINERAL EXPLORATION; MODELS; PARAMETER ESTIMATION; POLARIZATION; QUALITY CONTROL; SPECTRUM ANALYSIS; TIME DOMAIN ANALYSIS; TRANSMITTERS; UNCERTAINTY ANALYSIS;

COLE-COLE PARAMETERS; ENVIRONMENTAL GEOPHYSICS; HYDRAULIC PARAMETERS; INDUCED POLARIZATION; INDUCED POLARIZATION PHENOMENON; INVERSION; INVERSION ALGORITHM; LATERALLY CONSTRAINED INVERSIONS; POLARIZATION MEASUREMENTS;

INDUCED POLARIZATION LOGGING; PARAMETER ESTIMATION;

ACCURACY ASSESSMENT; ALGORITHM; DATA INVERSION; HYDROGEOLOGY; INDUCED POLARIZATION; LANDFILL; ONE-DIMENSIONAL MODELING; WAVEFORM ANALYSIS;

DENMARK;

EID: 84861661971     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/geo2011-0217.1     Document Type: Article

References (44)

1. Auken, E. and A. V. Christiansen, 2004, Layered and laterally constrained 2D inversion of resistivity data: Geophysics, 69, 752-761, doi: 10.1190/1.1759461. 10.1190/1.1759461 GPYSA7 0016-8033
2. Auken, E., A. V. Christiansen, B. H. Jacobsen, N. Foged and K. I. Sørensen, 2005, Piecewise 1D laterally constrained inversion of resistivity data: Geophysical Prospecting, 53, 497-506, doi: 10.1111/gpr.2005.53.issue-4. 10.1111/gpr.2005.53.issue-4 GPPRAR 0016-8025
3. Auken, E., A. Gazoty, G. Fiandaca, J. Pedersen and A. V. Christiansen, 2011, Mapping of landfills using time-domain spectral induced polarization data - The Eskelund case study: 17th Annual International Conference and Exhibition, EAGE.
4. Becker, A. and G. Cheng, 1988, Detection of repetitive electromagnetic signals in electromagnetic methods, in M. N. Nabighian, ed., Applied Geophysics: SEG.
5. Binley, A., L. D. Slater, M. Fukes and G. Cassiani, 2005, Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone: Water Resources Research, 41, 1-13, doi: 10.1029/2005WR004202. 10.1029/2005WR004202 WRERAQ 0043-1397
6. Borner, F. D., J. R. Schopper and A. Weller, 1996, Evaluation of transport and storage properties in the soil and groundwater zone from induced polarization measurements: Geophysical Prospecting, 44, 583-601, doi: 10.1111/gpr.1996.44.issue-4. 10.1111/gpr.1996.44.issue-4 GPPRAR 0016-8025
7. Chen, J., A. Kemna and S. S. Hubbard, 2008, A comparison between Gauss-Newton and Markov-chain Monte Carlo-based methods for inverting spectral induced-polarization data for Cole-Cole parameters: Geophysics, 73, no. 6, F247-F259, doi: 10.1190/1.2976115. 10.1190/1.2976115 GPYSA7 0016-8033
8. Christiansen, A. V. and E. Auken, 2008, Presenting a free, highly flexible inversion code: 78th Annual International Meeting, SEG, Expanded Abstracts, 1228-1232, doi: 10.1190/1.3059140.
9. Christiansen, A. V., E. Auken and A. Viezzoli, 2011, Quantification of modeling errors in airborne TEM caused by inaccurate system description: Geophysics, 76, no. 1, F43-F52, doi: 10.1190/1.3511354. 10.1190/1.3511354 GPYSA7 0016-8033
10. Cole, K. S. and R. H. Cole, 1941, Dispersion and absorption in dielectrics: Journal of Chemical Physics, 9, no. 4, 341-351, doi: 10.1063/1.1750906. 10.1063/1.1750906 JCPSA6 0021-9606
11. Dahlin, T., C. Bernstone and M. H. Loke, 2003, A 3-D resistivity investigation of a contaminated site at Lernacken, Sweden: Geophysics, 68, 409, doi: 10.1190/1.1553689. 10.1190/1.1553689 GPYSA7 0016-8033
12. Dahlin, T., V. Leroux and J. Nissen, 2002, Measuring techniques in induced polarisation imaging: Journal of Applied Geophysics, 50, no. 3, 279-298, doi: 10.1016/S0926-9851(02)00148-9. 10.1016/S0926-9851(02)00148-9 JAGPEA 0926-9851
13. Dahlin, T. and B. Zhou, 2006, Multiple-gradient array measurements for multi-channel 2D resistivity imaging: Near Surface Geophysics, 4, 113-123, doi: 10.3997/1873-0604.2005037. 10.3997/1873-0604.2005037 1569-4445
14. Davidson, D. W. and R. H. Cole, 1951, Dielectric relaxation in glycerol propilene glycol and propanol: The Journal of Chemical Physics, 19, no. 12, 1484-1490, doi: 10.1063/1.1748105. 10.1063/1.1748105 0021-9606
15. Effersø, F., E. Auken and K. I. Słrensen, 1999, Inversion of band-limited TEM responses: Geophysical Prospecting, 47, 551-564, doi: 10.1046/j.1365-2478.1999.00135.x. 10.1046/j.1365-2478.1999.00135.x GPPRAR 0016-8025
16. Gazoty, A., E. Auken, J. Pedersen, G. Fiandaca and A. V. Christiansen, 2011, Reliability of time domain induced polarization data: Symposium on the Application of Geophysics to Engineering and Environmental Problems, Charleston.
17. Ghorbani, A., C. Camerlynck, N. Florsch, P. Cosenza and A. Revil, 2007, Bayesian inference of the Cole-Cole parameters from time- and frequency-domain induced polarization: Geophysical Prospecting, 55, 589-605, doi: 10.1111/gpr.2007.55.issue-4. 10.1111/gpr.2007.55.issue-4 GPPRAR 0016-8025
18. Hönig, M. and B. Tezkan, 2007, 1D and 2D Cole-Cole-inversion of time-domain induced-polarization data: Geophysical Prospecting, 55, 117-133, doi: 10.1111/gpr.2007.55.issue-1. 10.1111/gpr.2007.55.issue-1 GPPRAR 0016-8025
19. Hördt, A., T. Hanstein, M. Hönig and F. M. Neubauer, 2006, Efficient spectral IP-modelling in the time domain: Journal of Applied Geophysics, 59, no. 2, 152-161, doi: 10.1016/j.jappgeo.2005.09.003. 10.1016/j.jappgeo.2005.09.003 JAGPEA 0926-9851
20. Johansen, H. K. and K. I. Słrensen, 1979, Fast Hankel transforms: Geophysical Prospecting, 27, 876-901, doi: 10.1111/gpr.1979.27.issue-4. 10.1111/gpr.1979.27.issue-4 GPPRAR 0016-8025
21. Johnson, I. M., 1984, Spectral induced polarization parameters as determined through time-domain measurements: Geophysics, 49, 1993-2003, doi: 10.1190/1.1441610. 10.1190/1.1441610 GPYSA7 0016-8033
22. Kemna, A., A. Binley, A. Ramirez and W. Daily, 2000, Complex resistivity tomography for environmental applications: Chemical Engineering Journal (Lausanne), 77, no. 1-2, 11-18, doi: 10.1016/S1385-8947(99)00135-7. 10.1016/S1385-8947(99)00135-7 CMEJAJ 1385-8947
23. Kemna, A., A. Binley and L. D. Slater, 2004, Crosshole IP imaging for engineering and environmental applications: Geophysics, 69, 97-107, doi: 10.1190/1.1649379. 10.1190/1.1649379 GPYSA7 0016-8033
24. Koefoed, O., 1979, Geosounding principles: Elsevier.
25. Loke, M. H. and R. D. Barker, 1996, Rapid least squares inversion of apparent resistivity pseudosections by a quasi-Newton method: Geophysical Prospecting, 44, 131-152, doi: 10.1111/gpr.1996.44.issue-1. 10.1111/gpr.1996.44.issue-1 GPPRAR 0016-8025
26. Loke, M. H., J. Chambers and R. D. Ogilvy, 2006, Inversion of 2D spectral induced polarization imaging data: Geophysical Prospecting, 54, 287-301, doi: 10.1111/gpr.2006.54.issue-3. 10.1111/gpr.2006.54.issue-3 GPPRAR 0016-8025
27. Møller, I., K. I. Sørensen and N. B. Christensen, 1998, DC-Resistivity multi-electrode profiling in hydrogeological invastigations: A comparative study of the pulled array continous electrical sounding method and a multi-electrode method with fixed electrodes: 11th Symposium on the Application of Geophysics to Engineering and Environmental Problems, EEGS, Extended Abstracts, 869-874.
28. Oldenburg, D. W. and Y. Li, 1994, Inversion of induced polarization data: Geophysics, 59, 1327-1341, doi: 10.1190/1.1443692. 10.1190/1.1443692 GPYSA7 0016-8033
29. Pelton, W. H., S. H. Ward, P. G. Hallof, W. R. Sill and P. H. Nelson, 1978, Mineral discrimination and removal of inductive coupling with multifrequency IP: Geophysics, 43, 588-609, doi: 10.1190/1.1440839. 10.1190/1.1440839 GPYSA7 0016-8033
30. Revil, A. and N. Florsch, 2010, Determination of permeability from spectral induced polarization in granular media: Geophysical Journal International, 181, 1480-1498, doi: 10.1111.j.1365-246X.2010.04573.x. 10.1111.j.1365-246X.2010.04573.x GJINEA 0956-540X
31. Seigel, H. O., 1959, Mathematical formulation and type curves for induced polarization: Geophysics, 24, 547-565, doi: 10.1190/1.1438625. 10.1190/1.1438625 GPYSA7 0016-8033
32. Shuey, R. T. and M. Johnson, 1973, On the phenomenology of electrical relaxation in rocks: Geophysics, 38, 37-48, doi: 10.1190/1.1440331. 10.1190/1.1440331 GPYSA7 0016-8033
33. Slater, L. D. and D. Lesmes, 2002, IP interpretation in environmental investigations: Geophysics, 67, 77-88, doi: 10.1190/1.1451353. 10.1190/1.1451353 GPYSA7 0016-8033
34. Slater, L. D. and A. Reeve, 2002, Investigating peatland stratigraphy and hydrogeology using integrated electrical geophysics: Geophysics, 67, 365-378, doi: 10.1190/1.1468597. 10.1190/1.1468597 GPYSA7 0016-8033
35. Tarantola, A. and B. Valette, 1982a, Generalized nonlinear inverse problems solved using a least squares criterion: Rewiews of Geophysics and Space Physics, 20, no. 2, 219-232, doi: 10.1029/RG020i002p00219. 10.1029/RG020i002p00219 87551209
36. Tarantola, A. and B. Valette, 1982b, Inverse problems=quest for information: Journal of Geophysics, 50, no. 3, 159-170, doi: 10.1038/nm1011. 10.1038/nm1011 JGEOD4 0340-062X
37. Titov, K., A. Tarasov, Y. Ilyin, N. Seleznev and A. Boyd, 2010, Relationships between induced polarization relaxation time and hydraulic properties of sandstone: Geophysical Journal International, 180, 1095-1106, doi: 10.1111/gji.2010.180.issue-3. 10.1111/gji.2010.180.issue-3 GJINEA 0956-540X
38. Tombs, J. M. C., 1981, The feasibility of making spectral IP measurements in the time domain: Geoexploration, 19, no. 2, 91-102, doi: 10.1016/0016-7142(81)90022-3. 10.1016/0016-7142(81)90022-3 GEOXAV 0016-7142
39. Vanhala, H., 1997, Mapping oil-contaminated sand and till with the spectral induced polarization (IP) method: Geophysical Prospecting, 45, 303-326, doi: 10.1046/j.1365-2478.1997.00338.x. 10.1046/j.1365-2478.1997.00338.x GPPRAR 0016-8025
40. Van Voorhis, G. D., P. H. Nelson and T. L. Drake, 1973, Complex resistivity spectra of porphyry copper mineralization: Geophysics, 38, 49-60, doi: 10.1190/1.1440333. 10.1190/1.1440333 GPYSA7 0016-8033
41. Weller, A., W. Frangos and M. Seichter, 1999, Three-dimensional inversion of induced polarization data from simulated waste: Journal of Applied Geophysics, 41, no. 1, 31-47, doi: 10.1016/S0926-9851(98)00036-6. 10.1016/S0926-9851(98)00036-6 JAGPEA 0926-9851
42. Weller, A., M. Seichter and A. Kampke, 1996, Induced-polarization modelling using complex electrical conductivities: Geophysical Journal International, 127, 387-398, doi: 10.1111/gji.1996.127.issue-2. 10.1111/gji.1996.127.issue-2 GJINEA 0956-540X
43. Yoshioka, K. and M. S. Zhdanov, 2005, Three-dimensional nonlinear regularized inversion of the induced polarization data based on the Cole-Cole model: Physics of the Earth and Planetary Interiors, 150, 29-43, doi: 10.1016/j.pepi.2004.08.034. 10.1016/j.pepi.2004.08.034 PEPIAM 0031-9201
44. Yuval, and D. W. Oldenburg, 1997, Computation of Cole-Cole parameters from IP data: Geophysics, 62, 436-448, doi: 10.1190/1.1444154. 10.1190/1.1444154 GPYSA7 0016-8033