Simulation of Logging-while-drilling Tool Response Using Integral Equation Fast Fourier Transform

High tech Zone(West), Chengdu, Sichuan, China Xi yuan Avenue, No. 2006, University of Electronic Science and Technology

^a Corresponding author: sunxiangyang@uestc.edu.cn

Abstract

We rely on the volume integral equation (VIE) method for the simulation of loggingwhile- drilling (LWG) tool response using the integral equation fast Fourier transform (IE-FFT) algorithm to accelerate the computation of the matrix-vector product in the iterative solver. Depending on the virtue of the Toeplitz structure of the interpolation of the Green’s function on the uniform Cartesian grids, this method uses FFT to calculate the matrix-vector multiplication. At the same time, this method reduce the memory requirement and CPU time. In this paper, IEFFT method is first used in the simulation of LWG. Numerical results are presented to demonstrate the accuracy and efficiency of this method. Compared with the Moment of Method (MOM) and other fast algorithms, IE-FFT have distinct advantages in the fact of memory requirement and CPU time. In addition, this paper study the truncation, mesh elements, the size of the interpolation grids of IE-FFT and dip formation, and give some conclusion with wide applicability.