2.5-Dimensional modeling of EM logging-while-drilling tool in anisotropic medium on a Lebedev grid

A 2.5D finite-difference (FD) algorithm for the modeling of the electromagnetic (EM) logging-while-drilling (LWD) tool in anisotropic media is presented. The FD algorithm is based on the Lebedev grid, which allows for the discretization of the frequency-domain Maxwell's equations in the anisotr...

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Bibliographic Details
Published in:Petroleum science 2023-02, Vol.20 (1), p.249-260
Main Authors: Wu, Zhen-Guan, Li, Hu, Yue, Xi-Zhou
Format: Article
Language:English
Subjects:
2.5D modeling
Anisotropic medium
Electromagnetic logging-while-drilling
Lebedev grid
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Summary:A 2.5D finite-difference (FD) algorithm for the modeling of the electromagnetic (EM) logging-while-drilling (LWD) tool in anisotropic media is presented. The FD algorithm is based on the Lebedev grid, which allows for the discretization of the frequency-domain Maxwell's equations in the anisotropic media in 2.5D scenarios without interpolation. This leads to a system of linear equations that is solved using the multifrontal direct solver which enables the simulation of multi-sources at nearly the cost of simulating a single source for each frequency. In addition, near-optimal quadrature derived from an optimized integration path in the complex plane is employed to implement the fast inverse Fourier Transform (IFT). The algorithm is then validated by both analytic and 3D solutions. Numerical results show that two Lebedev subgrid sets are sufficient for TI medium, which is common in geosteering environments. The number of quadrature points is greatly reduced by using the near-optimal quadrature method.
ISSN:1995-8226
1995-8226
DOI:10.1016/j.petsci.2022.09.010