Chapter 12 Application of a non-orthogonal coordinate system to the inverse single-well electromagnetic logging problem

Methods in Geochemistry and Geophysics

Volumn 35, Issue C, 2002, Pages 215-231

  Abubakar, Aria ^a   van den Berg, Peter M ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956688580     PISSN: 00766895     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0076-6895(02)80094-4     Document Type: Article

References (25)

1. Abubakar A., and van den Berg P.M. Three-dimensional nonlinear inversion in crosswell electrode logging. Radio Sci. 4 (1998) 989-1004
2. Abubakar A., and van den Berg P.M. Nonlinear inversion in electrode logging in a highly deviated formation with invasion using an oblique coordinate system. IEEE Trans. Geosci. Remote Sensing 38 (2000) 25-39
3. Anderson B., Safinya K., and Habashy T.M. Effect of dipping beds on the response of induction tools. 61st Annu. Tech. Conf. Soc. Pet. Eng., Paper SPE 15488 (1986)
4. Anderson B., Barber T., Druskin V., Lee P., Dussan V.E., Knizhnerman L., and Davydycheva S. The response of multiarray induction tools in highly dipping formations with invasion and in arbitrary 3D geometries. 37th Annu. Log. Symp. June 16-19, Proc. SPWLA (1996)
5. Arikan O. Regularized inversion of a two-dimensional integral equation with applications in borehole induction measurements. Radio. Sci. 29 (1994) 519-538
6. Bojarski N.N. Comments on 'Nonuniqueness in inverse source and scattering problems'. IEEE Trans. Antennas Propag. 30 (1982) 1037-1038
7. Brodlie K.W. Unconstrained minimization. In: Jacobs D.A.H. (Ed). The State of Art in Numerical Analysis (1977), Academic Press, New York, NY 255-257
8. Deveney A.J., and Sherman G.C. Nonuniqueness in inverse source and scattering problems. IEEE Trans. Antennas Propag. 30 (1982) 1034-1037
9. Druskin V., Knizhnerman L.A., and Lee P. A finite difference scheme for elliptic equations with rough coefficients using a Cartesian grid nonconforming to interfaces. Siam J. Numer. Anal. 36 (1999) 442-464
10. Gianzero S., and Su S.M. The response of induction dipmeter and standard induction tools to dipping beds. Geophysics 55 (1990) 1128-1147
11. Habashy T.M., Oristaglio M.L., and De Hoop A.T. Simultaneous nonlinear reconstruction of two-dimensional permittivity and conductivity. Radio Science 29 (1994) 1101-1118
12. Hardman R.H., and Shen L.C. Theory of induction sonde in dipping beds. Geophysics 51 (1986) 800-809
13. Hohmann G.W. Three-dimensional induced polarization and electromagnetic modeling. Geophysics 40 (1975) 309-324
14. Holland R. Finite-difference solution of Maxwell's equations in generalized nonorthogonal coordinates. IEEE Trans. Nucl. Sci. 6 (1983) 4589-4591
15. Howard Jr. A.Q., and Chew W.C. Electromagnetic borehole fields in a layered dipping-bed environment with invasion. Geophysics 37 (1992) 451-465
16. Kleinman R.E., and van den Berg P.M. A modified gradient method for twodimensional problems in tomography. J. Comput. Appl. Math. 42 (1992) 17-35
17. Koelman J.M.V.A., Van der Horst M., Lomas A.T., Koelmij A.T., and Bonnie J.H.M. Interpretation of resistivity logs in horizontal logs an application to complex reservoirs from Oman. 37th Annu. Log. Symp. June 16-19, Proc. SPWLA (1996)
18. Minerbo G.N. Inversion of induction logs in dipping beds. PIERS Conf. Proc. (1989) 293-294
19. Spies B.R., and Habashy T.M. Sensitivity analysis of crosswell electromagnetics. Geophysics 60 (1995) 834-845
20. Stone W. Comments on 'Nonuniqueness in inverse source and scattering problems'. IEEE Trans. Antennas Propag. 30 (1982) 1037-1038
21. Stratton J.H. Electromagnetic Theory (1941), McGraw-Hill, New York, NY
22. Van den Berg P.M., and Kleinman R.E. Contrast source inversion method. Inverse Problems 13 (1997) 1607-1620
23. Van der Horst M., Druskin V., and Knizhnerman L. Modeling induction logs in 3-D geometries. In: Oristaglio M., and Spies B. (Eds). Three-Dimensional Electromagnetics (1999), Society of Exploration Geophysicists Press, Tulsa, OK 611-622
24. Zhdanov M.S., and Fang S. Three-dimensional quasi-linear electromagnetic modeling and inversion. In: Oristaglio M., and Spies B. (Eds). Three-Dimensional Electromagnetics (1999), Society of Exploration Geophysicists Press, Tulsa, OK 233-255
25. Zwamborn A.P.M., and van den Berg P.M. Computation of electromagnetic fields inside strongly inhomogeneous objects by the weak-conjugate gradient FFT method. J. Opt. Soc. 11 (1994) 1414-1421