Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method

David Pardo; Paweł Jerzy Matuszyk; Ignacio Muga; Carlos Torres-Verdín; Angel Mora Cordova; Victor M. Calo

doi:10.1016/j.jcp.2011.04.028

Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method

David Pardo, Paweł Jerzy Matuszyk, Ignacio Muga, Carlos Torres-Verdín, Angel Mora Cordova, Victor M. Calo

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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)
Pages (from-to)	6320-6333
Number of pages	14
Journal	Journal of Computational Physics
Volume	230
Issue number	16
DOIs	https://doi.org/10.1016/j.jcp.2011.04.028
State	Published - Jul 2011

Bibliographical note

KAUST 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

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10.1016/j.jcp.2011.04.028

Cite this

@article{8882c87983894a51bc34592bc2f28e13,

title = "Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method",

abstract = "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. {\textcopyright} 2011 Elsevier Inc.",

author = "David Pardo and Matuszyk, {Pawe{\l} Jerzy} and Ignacio Muga and Carlos Torres-Verd{\'i}n and {Mora Cordova}, Angel and Calo, {Victor M.}",

note = "KAUST 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).",

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AU - Pardo, David

AU - Matuszyk, Paweł Jerzy

AU - Muga, Ignacio

AU - Torres-Verdín, Carlos

AU - Mora Cordova, Angel

AU - Calo, Victor M.

N1 - KAUST 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).

PY - 2011/7

Y1 - 2011/7

N2 - 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.

AB - 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.

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Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method

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