Abstract
The authors develop a hybrid implementation of the extended Born approximation (EBA) with the conjugate-gradient fast Fourier Hankel transform (CG-FFHT) method to improve the efficiency of the numerical solution of borehole induction problems in axisymmetric media. First, they use the FFHT to accelerate the EBA as a nonlinear approximation to induction problems, resulting in an algorithm with O(N log/sub 2/ N) arithmetic operations, where N is the number of unknowns in the problem. This accelerated EBA is accurate for most formations encountered in practical applications. Then, for formations with extremely high contrasts, they utilize the accelerated EBA as a partial preconditioner in the CG-FFHT method to solve the problem accurately with few iterations. The seamless combination of these two approaches provides an automatic way toward a general efficient and accurate modeling algorithm for induction measurements in axisymmetric media.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEEE Transactions on Geoscience and Remote Sensing
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
