Anisotropic resistivity inversion

Inverse Problems

Volumn 19, Issue 5, 2003, Pages 1081-1111

  Pain, Christopher C ^a   Herwanger, Jörg V ^a   Saunders, Jonathan H ^a   Worthington, Michael H ^a   De Oliveira, Cassiano R E ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ELECTRIC CONDUCTIVITY; FINITE ELEMENT METHOD; IMAGING TECHNIQUES; MATHEMATICAL MODELS;

ELECTRICAL IMAGING;

INVERSE PROBLEMS;

EID: 0142093995     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/5/306     Document Type: Article

References (41)

1. Daily W. Ramirez A, LaBreque D and Nitao J 1992 Electrical resistivity tomography of vadose water movement Water Resources Res. 28 1429-42
2. Slater L D 1997 Electrical imaging of fractures using ground-water salinity change Ground Water 35 436-42
3. Daily W, Ramirez A, LaBreque D and Binley A 1995 Frontiers in Process Tomography (New York: American Institute of Chemical Engineers) chapter 15 (Detecting Leaks in Hydrocarbon Storage Tanks Using Electrical Resistance Tomography) pp 173-83
4. Weller A, Gruhne M, Seichter M and Börner F D 1996 Monitoring hydraulic experiments by complex conductivity tomography Eur. J. Environ. Eng. Geophys. 1 209-28
5. Weller A, Frangos W and Seichter M 2000 Three-dimensional inversion of induced polarization data from simulated waste J. Appl. Geophys. 44 67-83
6. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101
7. Polydorides N and Lionheart W R B 2002 A Matlab toolkit for three-dimensional electrical impedance tomography: A contribution to the electrical impedance and diffuse optical reconstruction software project Meas. Sci. Technol. 13 1871-83
8. Schön J, Mollison R A and Georgi D T 1999 Macroscopic electrical anisotropy of laminated reservoirs: A tensor saturation model SPE Annu. Tech. Conf. Exhibition (SPE Paper 56509) (Houston, TX, Oct. 1999) (Houston, TX: Society of Petroleum Engineers)
9. Ritzi R W and Andolsek R H 1992 Relation between anisotropic transmissivity and azimuthal resistivity surveys in shallow, fractured, carbonate flow systems Ground Water 30 774-80
10. Bahr K 1997 Electrical anisotropy and conductivity distribution functions of fractal random networks and of the crust: The scale effect of connectivity Geophys. J. Int. 130 649-60
11. Glidewell M G and Ng K T 1997 Anatomically constrained electrical impedance tomography for three-dimensional anisotropic bodies IEEE Trans. Med. Imaging 16 572-80
12. Herwanger J V, Pain C C, Binley A and Worthington M H 2003 Diagnosing anisotropy in electrical tomography Geophys. Prospect. submitted September 2001
13. Sylvester J 1990 An anisotropic inverse boundary value problem Commun. Pure Appl. Math. 43 201-32
14. Sun Z and Uhlmann G 1997 Inverse problems in quasilinear anisotropic media Am. J. Math. 119 771-97
15. Jupp D L B and Vozoff K 1975 Stable iterative methods for the inversion of geophysical data Geophys. J. R. Astron. Soc. 42 957-76
16. Ellis R G and Oldenburg D W 1994 The pole-pole 3-d DC-resistivity inverse problem; a conjugate-gradient approach Geophys. J. Int. 119 187-94
17. Loke M H and Barker R D 1996 Rapid least-squares inversion of apparent resistivity pseudosections by a quasi-Newton method Geophys. Prospect. 44 131-52
18. Loke M H and Barker R D 1996 Practical techniques for 3d resistivity surveys and data inversion Geophys. Prospect. 44 499-523
19. Zhang J, Mackie R L and Madden T R 1995 3d resistivity forward modelling and inversion using conjugate gradients Geophysics 60 1313-25
20. LaBreque D J, Ramirez A L, Daily W D, Binley A M and Schima S A 1996 ERT monitoring of environmental remediation processes Meas. Sci. Technol 7 375-83
21. Pain C C, Herwanger J V, Worthington M H and de Oliveira C R E 2002 Effective multidimensional resistivity inversion using finite-element techniques Geophys. J. Int. 151 710-9
22. Oristaglio M L and Worthington M H 1980 Inversion of surface and borehole electromagnetic data for two-dimensional electrical conductivity models Geophys. Prospect. 28 633-57
23. McGillivray P R and Oldenburg D W 1990 Methods for calculating Fréchet derivatives and sensitivities for the non-linear inverse problem: A comparative study Geophys. Prospect. 38 499-524
24. Dorn O, Bertete-Aguirre H, Berryman J G and Papanicolaou G C 2002 Sensitivity analysis of a nonlinear inversion method for 3d electromagnetic imaging in anisotropic media Inverse Problems 18 285-317
25. Pratt R G and Chapman C P 1992 Traveltime tomography in anisotropic media - II. Application Geophys. J. 109 20-37
26. Zienkiewicz O C and Taylor R L 1991 Finite Element Method: Solid and Fluid Mechanics Dynamics and Non-Linearity vol 2, 4th edn (New York: McGraw-Hill)
27. Bishop C M 1995 Neural Networks for Pattern Recognition (Oxford: Oxford University Press)
28. Hansen P C 1998 Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (Philadelphia, PA: SIAM)
29. Herwanger J V and Pain C C 2003 Anisotropy and the ART of resistivity tomography Geophys. J. Int. submitted October 2002
30. Rowbotham P S and Pratt R G 1997 Improved inversion through use of the null space Geophysics 62 869-83
31. Pilkington M and Todoeschuck J P 1991 Naturally smooth inversions with a priori information from well logs Geophysics 56 1811-8
32. Maurer H, Holliger K and Boerner D E 1998 Stochastic regularization: Smoothness or similarity? Geophys. Res. Lett. 25 2889-92
33. Lines L R, Schultz A K and Treitel S 1988 Cooperative inversion of geophysical data Geophysics 53 8-20
34. Kaipio J P, Kolehmainen V, Vauhkonen M and Somersalo E 1999 Inverse problems with structural prior information Inverse Problems 15 713-29
35. Haber E and Oldenburg D 1997 Joint inversion: A structural approach Inverse Problems 13 63-77
36. Cherkaeva E and Tripp A C 1996 Optimal survey design using focussed resistivity arrays IEEE Trans. Geosci. Remote Sensing 34 358-66
37. Maurer H and Boener D E 1998 Optimized and robust experimental design: A non-linear application to EM sounding Geophys. J. Int. 132 458-68
38. Maurer H, Boerner D E and Curtis A 2000 Design strategies for electromagnetic geophysical surveys Inverse Problems 16 1097-117
39. Johnson D, Cherkaeva E, Furse C and Tripp A C 2001 Cross-borehole delineation of a conductive ore deposit in a resistive host - experimental design Geophysics 66 824-35
40. Böhm G, Galuppo P and Vesnaver A 2000 3d adaptive tomography using Delaunay triangles and Voronoi polygons Geophys. Prospect. 48 723-44
41. Pain C C, Umpleby A P, de Oliveir C R E and Goddard A J H 2001 Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations Comput. Methods Appl. Mech. Eng. 190 3771-96