Nonlinear inversion of the electrode logging measurements in a deviated well

Author:

Abubakar Aria1,van den Berg Peter M.1

Affiliation:

1. Delft University of Technology, Laboratory of Electromagnetic Research, Mekelweg 4, P.O. Box 5031, 2600 GA Delft, The Netherlands. Emails:

Abstract

We develop a nonlinear inversion method for reconstructing the 3-D electrical conductivity in a highly deviated well with invasion using electrode logging (static field) measurements. The integral equation is formulated in an oblique polar coordinate system so that the dipping‐bed environment can be modeled without approximations. The computation time is dramatically reduced by using a nonuniform discretization grid in the direction away from the borehole. Moreover, the contrast source inversion method, which has been successfully applied to the electrode logging problem using a homogeneous background, has been modified so that the inhomogeneous background can be used without introducing a borehole Green’s function. Numerical examples have shown that the present inversion method formulated in an oblique polar coordinate system can be used as an interpretation technique for the electrode logging measurements.

Publisher

Society of Exploration Geophysicists

Subject

Geochemistry and Petrology,Geophysics

Reference20 articles.

1. Abubakar, A., 1997, Nonlinear inversion in electrode logging using the modified gradient method: M.Sc. thesis, Delft Univ. of Technology.

2. Nonlinear inversion in electrode logging in a highly deviated formation with invasion using an oblique coordinate system

3. Nonlinear inversion in electrode logging in a highly deviated formation with invasion using an oblique coordinate system

4. Anderson, B., Safinya, K., and Habashy, T., 1986, Effect of dipping beds on the response of induction tools: Presented at 61st Ann. Soc. Petr. Eng. Tech. Conf.

5. Anderson, B., Barber, T., Druskin, V., Lee, P., Dussan V. E., Knizhnerman, L., and Davydycheva, S., 1996, The response of multiarray induction tools in highly dipping formations with invasion and in arbitrary 3D geometries: Presented at 37th Ann. Log. Symp.

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