Abstract
Inversion of electromagnetic induction log while drilling provides structural information around borehole for geosteering decision process. Imaging a complex three-dimensional (3D) anisotropic formation is very challenging due to the significant cost of the forward solver. To overcome this challenge, we have developed an inversion algorithm using an adjoint Integral Equation Method for logging while drilling scenarios in anisotropic media with several inexpensive approaches in this study. We use a quasi-Newton method with L-BFGS algorithm and implement a matrix-free adjoint Integral Equation method for efficient update of inverted model parameters. In addition, we propose the use of limited number of iterations for solving the adjoint equation as an approximation to the gradient for a faster computation time. To regularize the inverted models, we adopt the use of multiplicative regularization and weighted L2 total variation. Additionally, we impose priori information in our formulations, such as 2D parameterization and the range of conductivity values. We show a numerical example of logging while drilling inversion on a 2.5D faulted anisotropic formation. Numerical experiments show that our inversion workflow shows a good structural agreement of the inverted model within the sensitive range of the tool.
| Original language | English |
|---|---|
| Number of pages | 5 |
| DOIs | |
| Publication status | Published - 2024 |
| Event | - NOVA Spektrum Convention Centre, Oslo, Lillestrøm, Norway Duration: 10 Jun 2024 → 13 Jun 2024 https://eageannual.org/eage-annual-2024 |
Conference
| Conference | 85th EAGE Annual Conference & Exhibition 2024 |
|---|---|
| Abbreviated title | EAGE Annual 2024 |
| Country/Territory | Norway |
| City | Oslo, Lillestrøm |
| Period | 10/06/24 → 13/06/24 |
| Internet address |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
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Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method
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Saputera, D. H., Jakobsen, M., Jahani, N., van Dongen, K. W. A., Alyaev, S., & Eikrem, K. S. (2024). Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method. Paper presented at 85th EAGE Annual Conference & Exhibition 2024, Oslo, Lillestrøm, Norway. https://doi.org/10.3997/2214-4609.2024101259
Saputera, D.H. ; Jakobsen, M. ; Jahani, N. et al. / Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method. Paper presented at 85th EAGE Annual Conference & Exhibition 2024, Oslo, Lillestrøm, Norway.5 p.
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title = "Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method",
abstract = "Inversion of electromagnetic induction log while drilling provides structural information around borehole for geosteering decision process. Imaging a complex three-dimensional (3D) anisotropic formation is very challenging due to the significant cost of the forward solver. To overcome this challenge, we have developed an inversion algorithm using an adjoint Integral Equation Method for logging while drilling scenarios in anisotropic media with several inexpensive approaches in this study. We use a quasi-Newton method with L-BFGS algorithm and implement a matrix-free adjoint Integral Equation method for efficient update of inverted model parameters. In addition, we propose the use of limited number of iterations for solving the adjoint equation as an approximation to the gradient for a faster computation time. To regularize the inverted models, we adopt the use of multiplicative regularization and weighted L2 total variation. Additionally, we impose priori information in our formulations, such as 2D parameterization and the range of conductivity values. We show a numerical example of logging while drilling inversion on a 2.5D faulted anisotropic formation. Numerical experiments show that our inversion workflow shows a good structural agreement of the inverted model within the sensitive range of the tool.",
author = "D.H. Saputera and M. Jakobsen and N. Jahani and {van Dongen}, K.W.A. and S. Alyaev and K.S. Eikrem",
note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; 85th EAGE Annual Conference & Exhibition 2024 : Technology and talent for a secure and sustainable energy future, EAGE Annual 2024 ; Conference date: 10-06-2024 Through 13-06-2024",
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Saputera, DH, Jakobsen, M, Jahani, N, van Dongen, KWA, Alyaev, S & Eikrem, KS 2024, 'Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method', Paper presented at 85th EAGE Annual Conference & Exhibition 2024, Oslo, Lillestrøm, Norway, 10/06/24 - 13/06/24. https://doi.org/10.3997/2214-4609.2024101259
Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method. / Saputera, D.H.; Jakobsen, M.; Jahani, N. et al.
2024. Paper presented at 85th EAGE Annual Conference & Exhibition 2024, Oslo, Lillestrøm, Norway.
Research output: Contribution to conference › Paper › peer-review
TY - CONF
T1 - Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method
AU - Saputera, D.H.
AU - Jakobsen, M.
AU - Jahani, N.
AU - van Dongen, K.W.A.
AU - Alyaev, S.
AU - Eikrem, K.S.
N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
PY - 2024
Y1 - 2024
N2 - Inversion of electromagnetic induction log while drilling provides structural information around borehole for geosteering decision process. Imaging a complex three-dimensional (3D) anisotropic formation is very challenging due to the significant cost of the forward solver. To overcome this challenge, we have developed an inversion algorithm using an adjoint Integral Equation Method for logging while drilling scenarios in anisotropic media with several inexpensive approaches in this study. We use a quasi-Newton method with L-BFGS algorithm and implement a matrix-free adjoint Integral Equation method for efficient update of inverted model parameters. In addition, we propose the use of limited number of iterations for solving the adjoint equation as an approximation to the gradient for a faster computation time. To regularize the inverted models, we adopt the use of multiplicative regularization and weighted L2 total variation. Additionally, we impose priori information in our formulations, such as 2D parameterization and the range of conductivity values. We show a numerical example of logging while drilling inversion on a 2.5D faulted anisotropic formation. Numerical experiments show that our inversion workflow shows a good structural agreement of the inverted model within the sensitive range of the tool.
AB - Inversion of electromagnetic induction log while drilling provides structural information around borehole for geosteering decision process. Imaging a complex three-dimensional (3D) anisotropic formation is very challenging due to the significant cost of the forward solver. To overcome this challenge, we have developed an inversion algorithm using an adjoint Integral Equation Method for logging while drilling scenarios in anisotropic media with several inexpensive approaches in this study. We use a quasi-Newton method with L-BFGS algorithm and implement a matrix-free adjoint Integral Equation method for efficient update of inverted model parameters. In addition, we propose the use of limited number of iterations for solving the adjoint equation as an approximation to the gradient for a faster computation time. To regularize the inverted models, we adopt the use of multiplicative regularization and weighted L2 total variation. Additionally, we impose priori information in our formulations, such as 2D parameterization and the range of conductivity values. We show a numerical example of logging while drilling inversion on a 2.5D faulted anisotropic formation. Numerical experiments show that our inversion workflow shows a good structural agreement of the inverted model within the sensitive range of the tool.
U2 - 10.3997/2214-4609.2024101259
DO - 10.3997/2214-4609.2024101259
M3 - Paper
T2 - 85th EAGE Annual Conference & Exhibition 2024
Y2 - 10 June 2024 through 13 June 2024
ER -
Saputera DH, Jakobsen M, Jahani N, van Dongen KWA, Alyaev S, Eikrem KS. Inversion of Electromagnetic Induction Log in Anisotropic Media using an Adjoint Integral Equation Method. 2024. Paper presented at 85th EAGE Annual Conference & Exhibition 2024, Oslo, Lillestrøm, Norway. doi: 10.3997/2214-4609.2024101259
