Non-linear three-dimensional inversion of cross-well electrical measurements

Geophysical Prospecting

Volumn 48, Issue 1, 2000, Pages 109-134

  Abubakar, Aria ^a   Van Den Berg, Peter M ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BOREHOLES; ELECTRIC CONDUCTIVITY MEASUREMENT; ELECTRIC FIELDS; ERRORS; INTEGRAL EQUATIONS; INVERSE PROBLEMS; OIL WELL LOGGING; THREE DIMENSIONAL; TOMOGRAPHY;

CONTRAST SOURCE INVERSION; CROSS WELL ELECTRICAL MEASUREMENT; CROSS WELL TOMOGRAPHY; ELECTRICAL CONDUCTIVITY DISTRIBUTION; NONLINEAR INVERSION METHOD; RANDOM NOISE;

OIL WELLS;

BOREHOLE GEOPHYSICS; DATA INVERSION; ELECTRICAL CONDUCTIVITY; ELECTRICAL METHOD; THREE-DIMENSIONAL MODELING;

EID: 0034091344     PISSN: 00168025     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2478.2000.00170.x     Document Type: Conference Paper

References (16)

1. Abramowitz M. and Stegun I.A. 1970. Handbook of Mathematical Functions, p. 884. Dover Publications Inc.
2. Abubakar A. 1996. Non-linear inversion in electrode logging using the modified gradient method. MSc thesis, Delft University of Technology, The Netherlands.
3. Abubakar A. and Van den Berg P.M. 1998. Three-dimensional non-linear inversion in cross-well electrode logging. Radio Science 33, 989-1004.
4. Alumbaugh D.L. and Morrison H.F. 1995. Theoretical and practical considerations for crosswell electromagnetic tomography assuming a cylindrical geometry. Geophysics 60, 846-870.
5. Chew W.C. and Wang Y.M. 1990. Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. IEEE Transactions on Medical Imaging 9, 218-225.
6. Daily W. and Owen E. 1991. Cross-borehole resistivity tomography. Geophysics 56, 1228-1235.
7. De Hoop A.T. 1995. Handbook of Radiation and Scattering of Waves, pp. 719-729. Academic Press Inc.
8. Lovell J.R. 1993. Finite element methods in resistivity logging, pp. 47-48. PhD thesis, Delft University of Technology, The Netherlands.
9. Newman G. 1995. Crosswell electromagnetic inversion using integral and differential equations. Geophysics 60, 899-911.
10. Press W.H., Teukolsky S. A, Vetterling W.T. and Flannery B.P. 1992. Numerical Recipes in Fortran: The Art of Scientific Computing, pp. 490-525. Cambridge University Press.
11. Torres-Verdin C. and Habashy T.M. 1994. Rapid 2.5-dimensional forward modeling and inversion via a new non-linear scattering approximation. Radio Science 29, 1051-1079.
12. Torres-Verdin C. and Habashy T.M. 1995. A two-step linear inversion of two-dimensional electrical conductivity. IEEE Transactions on Antennas and Propagation 43, 405-415.
13. Van Bladel J. 1991. Singular Electromagnetic Fields and Sources. Clarendon Press, Oxford.
14. Van den Berg P.M. 1981. Iterative computational techniques in scattering based upon the integrated square error criterion. IEEE Transactions on Antennas and Propagation 32, 1063-1071.
15. Van den Berg P.M. and Kleinman R.E. 1997. Contrast source inversion method. Inverse Problems 13, 1607-1620.
16. Zwamborn A.P.M. and Van den Berg P.M. 1994. Computation of electromagnetic fields inside strongly inhomogeneous objects by the weak-conjugate gradient FFT method. Journal of the Optical Society 11, 1414-1421.