The paper introduces a high-order, adaptive finite-element method for simulation of sonic measurements acquired with borehole-eccentered logging instruments. The resulting frequency-domain based algorithm combines a Fourier series expansion in one spatial dimension with a two-dimensional high-order adaptive finite-element method (FEM), and incorporates a perfectly matched layer (PML) for truncation of the computational domain. The simulation method was verified for various model problems, including a comparison to a semi-analytical solution developed specifically for this purpose. Numerical results indicate that for a wireline sonic tool operating in a fast formation, the main propagation modes are insensitive to the distance from the center of the tool to the center of the borehole (eccentricity distance). However, new flexural modes arise with an increase in eccentricity distance. In soft formations, we identify a new dipole tool mode which arises as a result of tool eccentricity. © 2011 Elsevier Inc.
|Original language||English (US)|
|Number of pages||14|
|Journal||Journal of Computational Physics|
|State||Published - Jul 2011|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The work reported in this paper was funded by University of Texas at Austin's Research Consortium on Formation Evaluation, jointly sponsored by Anadarko, GS1 Aramco, Baker-Hughes, BG, BHP Billiton, BP, Chevron, ConocoPhillips, ENI, ExxonMobil, Halliburton, Hess, Marathon, Mexican Institute for Petroleum, Nexen, Pathfinder, Petrobras, Repsol-YPF, RWE, Schlumberger, Statoil, Total, and Weatherford. The first author was also partially funded by the Spanish Ministry of Sciences and Innovation under project MTM2010-16511, and the third author was supported by Sistema Bicentenario BECAS CHILE (Chilean Government).
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Computer Science Applications