| PIER | |
| Progress In Electromagnetics Research | ISSN: 1070-4698, E-ISSN: 1559-8985 |
Home > Vol. 85 > pp. 211-226
ANALYSIS AND CORRECTION OF BOREHOLE EFFECT ON THE RESPONSES OF MULTICOMPONENT INDUCTION LOGGING TOOLSBy X. Y. Sun, Z.-P. Nie, A. Li, and X. LuoAbstract: The analytical formulae based on the generalized reflection and transmission coefficient matrices for cylindrically stratified media are used to simulate the borehole effect on multicomponent induction logging responses in various ratios of mud conductivity and formation conductivity and to investigate the tool's eccentricity effect on the responses of coplanar coils and coaxial coils. The simulated data show that the borehole effect and the tool's eccentricity effect on the response of coplanar coils is greater than that on the response of coaxial coils in most cases. Then we give an algorithm for the correction of borehole effect on multicomponent induction logging responses, and the algorithm is based on the above-mentioned formulae to build forward model and regularized Newton method. Finally we correct borehole effect on the apparent conductivity responses of two different models with the algorithm, and the results demonstrate the effectiveness of the algorithm.
Citation:
References:
2. Zhdanov, M. S., D. Kennedy, and E. Peksen, "Foundation of the tensor induction well logging," Perophysics, Vol. 42, No. 42, 588-610, 2001.
3. Zhdanov, M. S., W. D. Kennedy, A. B. Cheryauka, and E. Peksen, "Principles of tensor induction well logging in a deviated well in an anisotropic medium," SPWLA 42th Ann. Log. Symp., 2001.
4. Wang, T., L. Yu, and F. Otto, "Multicomponent induction response in a borehole environment," Geophysics, Vol. 68, No. 5, 1510-1518, 2003. 5. Wang, T. and S. Fang, "3-D electromagnetic anisotropy modeling using finite differences," Geophysics, Vol. 66, No. 6, 1386-1398, 2001. 6. Shen, J. S., "Modeling of the multi-component induction log in anisotropic medium by using finite difference method," Progress In Geophysics of China, Vol. 19, No. 1, 101-107, 2004.
7. Sun, X. Y. and Z. P. Nie, "Vector finite element analysis of multicomponent induction response in anisotropic formations," Progress In Electromagnetics Research, Vol. 81, 21-39, 2008. 8. Sun, X. Y., Z. P. Nie, A. Y. Li, and L. Xi, "Numerical modeling of multicomponent induction response in planar layered anisotropic formation," Chinese Geophysics.
9. Shen, J. S., "Modeling of the 3-D electromagnetic responses to the anisotropic medium by the edge finite element method," Well Logging Technology of China, Vol. 28, 11-15, 2004.
10. Everett, M. E., E. A. Badea, L. C. Shen, G. A. Merchant, and C. J. Weiss, "3-D finite element analysis of induction logging in a dipping formation," IEEE Trans. Geoscience and Remote Sensing, Vol. 39, 2244-2252, 2003. 11. Michalski, K. A. and J. R. Mosing, "Multilayered media Green's functions in integral formulations," IEEE Trans. on Antennas and Propagation, Vol. 45, No. 3, 508-519, 1997. 12. Svezhentsev, A. Y., "Mixed-potential Green's function of an axially symmetric sheet magnetic current on a circular cylindrical metal surface," Progress In Electromagnetics Research, Vol. 60, 245-264, 2006. 13. Eroglu, A. and J. K. Lee, "Dyadic Green's functions for an electrically gyrotropic medium," Progress In Electromagnetics Research, Vol. 58, 223-241, 2006. 14. Sun, J., C.-F. Wang, L.-W. Li, and M.-S. Leong, "Mixed potential spatial domain Green's functions in fast computational form for cylindrically stratified media," Progress In Electromagnetics Research, Vol. 45, 223-241, 2006. 15. Li, L.-W., N.-H. Lim, W.-Y. Yin, and J.-A. Kong, "Eigenfunctional expansion of dyadic Green's functions in gyrotropic media using cylindrical vector wave functions," Progress In Electromagnetics Research, Vol. 43, 101-121, 2003. 16. Gao, G., C. Torres-Verdin, and T. M. Habashy, "Analytical techniques to evaluate the integrals of 3D and 2D spatial dyadic Green's functions," Progress In Electromagnetics Research, Vol. 52, 47-80, 2005. 17. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990.
18. Wang, H., P. So, S. Yang, and W. J. R. Hoefer, "Numerical modeling of multicomponent induction well-logging tools in the cylindrically stratified anisotropic media," IEEE Trans. Geoscience and Remote Sensing, Vol. 46, No. 4, 1134-1147, 2008. 19. Barber, T., B. Anderson, and A. Abubakar, "Determining formation resistivity anisotropy in the presence of invasion," SPE Annual Technical Conference and Exhibition Held in Houston, 2004.
20. Habashy, T. M. and A. Abubakar, "A general framework for constraint minimization for the inversion of electromagnetic measurements," Progress In Electromagnetics Research, Vol. 46, 265-312, 2004. 21. Avdeev, D. B. and A. D. Avdeeva, "A rigorous three-dimensional magnetotelluric inversion," Progress In Electromagnetics Research, Vol. 62, 41-48, 2006. 22. Abubakar, A., T. M. Habashy, and P. M. Van den Berg, "Nonlinear inversion of multi-frequency microwave fresnel data using the multiplicative regularized contrast source inversion," Progress In Electromagnetics Research, Vol. 62, 193-201, 2006. 23. Pingenot, J., "Full wave analysis of signal attenuation in a lossy rough surface cave using a high order time domain vector finite element method," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 12, 1695-1705, 2006. 24. Hernandez-Lopez, M. A. and M. Quintillan-Gonzalez, "A finite element method code to analyse waveguide dispersion," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 3, 397-408, 2007. |