Inversion of Induction Tool Measurements Using the Distorted Born Iterative Method and CG-FFHT


Journal Article

The inversion of induction tool measurements using the distorted Born iterative method (DBIM) and the conjugate gradient-fast Fourier-Hankel transform (CG-FFHT) is described. The inverse problem is formulated in terms of an integral equation of scattering where the unknown to be sought is the conductivity in the rock formation, when tHe measurements along a boreHole axis are performed. The nonlinear problem is linearized at each stage using the distorted Born approximation. The inhomogeneous medium Green's function in the distorted Born approximation is found by solving a volume integral equation using the CG-FFBT method, which allows a rapid solution to a large problem with reduced computational complexity and memory requirement. In this manner, the inverse problem is solved with a computational complexity proportional to NtlN log N where Ntl is the number of transmitter locations used in the data collection and N is the total number of pixels used to model the unknown formation. The memory requirement is of order NNtl. © 1994 IEEE

Full Text

Duke Authors

Cited Authors

  • Chew, WC; Liu, QH

Published Date

  • January 1, 1994

Published In

Volume / Issue

  • 32 / 4

Start / End Page

  • 878 - 884

Electronic International Standard Serial Number (EISSN)

  • 1558-0644

International Standard Serial Number (ISSN)

  • 0196-2892

Digital Object Identifier (DOI)

  • 10.1109/36.298015

Citation Source

  • Scopus