A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements

In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a Hankel transform. The resulting formulation is often solved via a semi-analytic me...

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Main Authors: Shahriari, M., Rojas, S., Pardo, D., Rodríguez-Rozas, A., Bakr, S., Calo, Victor, Muga, I.
Format: Journal Article
Published: 2018
Online Access:http://hdl.handle.net/20.500.11937/69941
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author Shahriari, M.
Rojas, S.
Pardo, D.
Rodríguez-Rozas, A.
Bakr, S.
Calo, Victor
Muga, I.
author_facet Shahriari, M.
Rojas, S.
Pardo, D.
Rodríguez-Rozas, A.
Bakr, S.
Calo, Victor
Muga, I.
author_sort Shahriari, M.
building Curtin Institutional Repository
collection Online Access
description In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a Hankel transform. The resulting formulation is often solved via a semi-analytic method, mainly due to its high performance. However, semi-analytic methods have important limitations such as, for example, their inability to model piecewise linear variations on the resistivity. Herein, we develop a multi-scale finite element method (FEM) to solve the secondary field formulation. This numerical scheme overcomes the limitations of semi-analytic methods while still delivering high performance. We illustrate the performance of the method with numerical synthetic examples based on two symmetric logging-while-drilling (LWD) induction devices operating at 2 MHz and 500 KHz, respectively.
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institution Curtin University Malaysia
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spelling curtin-20.500.11937-699412018-08-23T03:46:36Z A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements Shahriari, M. Rojas, S. Pardo, D. Rodríguez-Rozas, A. Bakr, S. Calo, Victor Muga, I. In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a Hankel transform. The resulting formulation is often solved via a semi-analytic method, mainly due to its high performance. However, semi-analytic methods have important limitations such as, for example, their inability to model piecewise linear variations on the resistivity. Herein, we develop a multi-scale finite element method (FEM) to solve the secondary field formulation. This numerical scheme overcomes the limitations of semi-analytic methods while still delivering high performance. We illustrate the performance of the method with numerical synthetic examples based on two symmetric logging-while-drilling (LWD) induction devices operating at 2 MHz and 500 KHz, respectively. 2018 Journal Article http://hdl.handle.net/20.500.11937/69941 10.3390/geosciences8060225 http://creativecommons.org/licenses/by/4.0/ fulltext
spellingShingle Shahriari, M.
Rojas, S.
Pardo, D.
Rodríguez-Rozas, A.
Bakr, S.
Calo, Victor
Muga, I.
A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title_full A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title_fullStr A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title_full_unstemmed A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title_short A numerical 1.5D method for the rapid simulation of geophysical resistivity measurements
title_sort numerical 1.5d method for the rapid simulation of geophysical resistivity measurements
url http://hdl.handle.net/20.500.11937/69941