A general approach for DC apparent resistivity evaluation on arbitrarily shaped 3D structures

Journal of Applied Geophysics

Volumn 60, Issue 1, 2006, Pages 55-67

  Marescot, Laurent ^a,b   Rigobert, Stéphane ^c   Palma Lopes, Sérgio ^a   Lagabrielle, Richard ^a   Chapellier, Dominique ^b  

^a Laboratoire Centrale de Ponts et Chausées   (France)

^b UNIVERSITY OF LAUSANNE   (Switzerland)

^c University Paris Est LCPC   (France)

Author keywords

Apparent resistivity; Cell constant; Finite element modelling; Geometric factor; Laboratory measurements; Topography correction

Indexed keywords

COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTRODES; FINITE ELEMENT METHOD; NONDESTRUCTIVE EXAMINATION; WATER TANKS;

APPARENT RESISTIVITY; ARBITRARY SHAPE; GEOMETRIC FACTOR; LABORATORY MEASUREMENTS;

COMPUTATIONAL GEOMETRY;

ELECTRICAL RESISTIVITY; FINITE ELEMENT METHOD; LABORATORY METHOD; SHAPE ANALYSIS; TOPOGRAPHY;

EID: 33746765580     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappgeo.2005.12.003     Document Type: Article

References (43)

1. Busby J.-P. The effectiveness of azimuthal apparent-resistivity measurements as a method for determining fracture strike orientations. Geophysical Prospecting 48 (2000) 677-695
2. Cecchini A., and Roccroi J.P. Effet topographique en prospection électrique. Geophysical Prospecting 28 (1980) 977-993
3. Coggon J.H. Electromagnetic and electrical modeling by the finite element method. Geophysics 36 (1971) 132-155
4. Dobroka M., Gyulai A., Ormos T., Csokas J., and Dresen L. Joint inversion of seismic and geoelectric data recorded in an underground coal mine. Geophysical Prospecting 39 (1991) 643-666
5. Draskovits P., and Simon A. Application of geoelectric methods using buried electrodes in exploration and mining. Geophysical Prospecting 40 (1992) 573-586
6. Faes T.J.C., van der Meij H.A., de Munck J.C., and Heethaar R.M. The electric resistivity of human tissues (100 Hz-10 MHz): a meta-analysis of review studies. Physiological Measurement 20 (1999) R1-R10
7. Fox R.C., Hohmann G.W., Killpack T.J., and Rijo L. Topographic effects in resistivity and induced-polarization surveys. Geophysics 45 (1980) 75-93
8. Giao P.H., Chung S.G., Kim D.Y., and Tanaka H. Electric imaging and laboratory resistivity testing for geotechnical investigation of Pusan clay deposits. Journal of Applied Geophysics 52 (2003) 157-175
9. Hennig T., Weller A., and Canh T. The effect of dike geometry on different resistivity configurations. Journal of Applied Geophysics 57 (2005) 278-292
10. Hering A., Misiek R., Gyulai A., Ormos T., Dobroka M., and Dresen L. A joint inversion algorithm to process geoelectric and surface wave seismic data: Part I. Basic ideas. Geophysical Prospecting 43 (1995) 135-156
11. Holcombe J., and Jiracek G. Three-dimensional terrain corrections in resistivity surveys. Geophysics 49 (1984) 439-452
12. Humbert P., Dubouchet A., Fezans G., and Remaud D. CESAR-LCPC, un progiciel de calcul dédié au génie civil. Bulletin des Laboratoires des Ponts et Chaussées 256-257 (2005) 7-35
13. Kunetz G. Principles of Direct Current Resistivity Prospecting (1966), Gebrüder Bornträger, Berlin
14. Lagabrielle R. Cours de Prospection Électrique en Courant Continu (1977), Ecole des Mines de Paris
15. Lataste, J.F., 2002. Evaluation Non Destructive de l'état d'endommagement des ouvrages en béton armé par mesure de résistivités électriques. PhD Thesis, Université de Bordeaux I. 294 pp.
16. Le Masne D., and Poirmeur C. Three-dimensional model results for an electrical hole-to-surface method: application to the interpretation of a field survey. Geophysics 53 (1988) 85-103
17. Leroux, V., 2000. Utilisation d'électrodes capacitives pour la prospection électrique en forage. PhD Thesis, Université de Rennes I. 177 pp.
18. Linderholm P., Bertsch A., and Renaud P. Resistivity probing of multi-layered tissue phantoms using microelectrodes. Physiological Measurement 25 (2004) 1-14
19. Lionheart W.R.B. EIT reconstruction algorithms: pitfalls, challenges, and recent developments. Physiological Measurement 25 (2004) 125-142
20. Loke M.H. Topographic modelling in resistivity imaging inversion. 62nd EAGE Conference and Technical Exhibition Extended Abstracts, D-2 (2000)
21. Maillol J.M., Seguin M.-K., Gupta O.P., Akhauri H.M., and Sen N. Electrical resistivity tomography survey for delineating uncharted mine galleries in West Bengal, India. Geophysical Prospecting 47 (1999) 103-116
22. Marescot, L., 2004. Modélisation directe et inverse en prospection électrique sur des structures 3D complexes par la méthode des éléments finis. PhD Thesis, Université de Nantes et Université de Lausanne. 208 pp.
23. Marescot L., Liaci S., and Chapellier D. Etude géoélectrique des cours d'eau interglaciaires à l'Ouest de la ville de Fribourg (Suisse). Eclogae Geologicae Helvetiae 96 (2003) 261-273
24. Marescot L., Palma Lopes S., Rigobert S., Lagabrielle R., and Chapellier D. 3D resistivity finite element modelling using mesh-independent electrode location. Proceedings of the 9th EEGS-ES Meeting. Prague, Czech Republic, August 31-September 4, 2003 (2003)
25. Oppliger G.L. Three-dimensional terrain corrections for mise-a-la-masse and magnetometric resistivity surveys. Geophysics 49 (1984) 1718-1729
26. Pain C., Herwanger J., Wothington M., and de Oliveira C. Effective multidimensional resistivity inversion using finite-element techniques. Geophysical Journal International 151 (2002) 710-728
27. Panissod C., Dabas M., Jolivet A., and Tabbagh A. A novel mobile multipole system (MUCEP) for shallow (0-3 m) geoelectrical investigation: the 'Vol-de-canards' array. Geophysical Prospecting 45 (1997) 983-1002
28. Poirmeur C., and Vasseur C. Three-dimensional modeling of a hole-to-hole electrical method: application to the interpretation of a field survey. Geophysics 53 (1988) 402-414
29. Pridmore D.F., Hohmann G.W., Ward S.H., and Sill W.R. An investigation of finite-element modeling for electrical and electromagnetic data in three-dimensions. Geophysics 46 (1981) 1009-1024
30. Sasaki Y. 3-D resistivity inversion using the finite-element method. Geophysics 59 (1994) 1839-1848
31. Sasaki Y., and Matsuo K. Surface-to-tunnel resistivity tomography at a copper mine. 60th Ann. Internat. Mtg: Soc. of Expl. Geophys. (1990) 550-553
32. Spitzer K., Chouteau M., and Boulanger O. Grid-independent electrode positioning for 3D DC resistivity and IP forward modelling. 2nd International Symposium on Three-dimensional Electromagnetics, Salt Lake City, USA (1999) 188-192
33. Stefanescu S.S., Schlumberger C., and Schlumberger M. Sur la distribution électrique potentielle autour d'une prise de terre ponctuelle dans un terrain à couches horizontales, homogènes et isotropes. Journal de Physique et le Radium I (1930) 132
34. Taylor S., and Barker R. Resistivity of partially saturated Triassic Sandstones. Geophysical Prospecting 50 (2002) 603-613
35. Tong L., and Yang C. Incorporation of topography into two-dimensional resistivity inversion. Geophysics 55 (1990) 354-361
36. Tsokas G.N., Tsourlos P.I., and Szymanski J.E. Square array resistivity anomalies and inhomogeneity ratio calculated by the finite-element method. Geophysics 62 (1997) 426-435
37. Tsourlos P.I., Szymanski J.E., and Tsokas G.N. The effect of terrain topography on commonly used resistivity arrays. Geophysics 64 (1999) 1357-1363
38. Utada H. Interpretation of time changes in the apparent resistivity observed prior to the 1986 eruption of Izu-Oshima Volcano, Japan. Journal of Volcanology and Geothermal Research 126 (2003) 97-107
39. VanGemert D., Janssens H., and VanRickstal F. Evaluation of electrical resistivity maps for ancient masonry. Materials and Structures 29 (1996) 158-163
40. Watson K., and Barker R. Differentiating anisotropy and lateral effects using azimuthal resistivity offset Wenner soundings. Geophysics 64 (1999) 739-745
41. Yaramanci U. Geoelectric exploration and monitoring in rock salt for the safety assessment of underground waste disposal sites. Journal of Applied Geophysics 44 (2000) 181-196
42. Yaramanci U., and Kiewer M. Geoelectrical characterisation of disturbed rock zone in Opalinus clay (Mont-Terri / Switzerland). Proceedings of 6th Meeting of Environmental and Engineering Geophysics, Bochum, Germany, 2000 (2000)
43. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method vol. 1 (2000), Butterworth-Heinemann 689 pp.