A 3-D fast integral equation method for simulation of induction logging response in formations with large conductivity contrasts

Author

Nie, Xiaochun ; Yuan, Ning ; Liu, Richard C.

Author_Institution

Dept. of Electr. & Comput. Eng., Houston Univ., Houston, TX

fYear

2008

fDate

5-11 July 2008

Firstpage

1

Lastpage

4

Abstract

A three-dimensional (3-D) fast integral equation method is presented for the simulation of induction logging problems in formations with large conductivity contrasts, where most existing numerical techniques fail to obtain accurate results. The volume integral equation (VIE) is used to formulate the problem and the precorrected FFT accelerated method of moments (pFFT-MoM) is used to solve the integral equation. To overcome the difficulty of high singularity and slow convergence due to large conductivity contrasts, the incomplete LU (ILU) pre-conditioner is used to significantly speed up the convergence of the matrix equation. The resultant method is efficient and flexible for 3-D simulation of induction logging, especially for problems with large conductivity contrasts.

Keywords

fast Fourier transforms; integral equations; matrix algebra; method of moments; 3D fast integral equation method; incomplete LU pre-conditioner; induction logging; induction logging response; large conductivity contrasts; matrix equation; precorrected FFT accelerated method of moments; volume integral equation; Acceleration; Computational modeling; Computer simulation; Conductivity; Convergence; Integral equations; Magnetic flux; Moment methods; Permeability; Permittivity;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2008. AP-S 2008. IEEE

Conference_Location

San Diego, CA

Print_ISBN

978-1-4244-2041-4

Electronic_ISBN

978-1-4244-2042-1

Type

conf

DOI

10.1109/APS.2008.4619252

Filename

4619252