Recent advances on the inversion of deep directional borehole resistivity measurements

Puzyrev, Vladimir; Pardo, David; Calo, Victor M.; Torres‐Verdín, Carlos

doi:10.1080/22020586.2019.12073031

Cited by 3 publications

(3 citation statements)

References 3 publications

(3 reference statements)

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“…Together, they can capture the presence of anisotropy in the medium related to the formation's petrophysical properties. Full three-dimensional (3D) modelling of induction logs is required to image complex geological formations (Puzyrev et al, 2019). Having this geological structural information in real-time from 3D inversions of induction logs is important for adequate geosteering in order to achieve better well placement, completion, and production (Wilson et al, 2019).…”

Section: Towards Real-time 3d Modelling Of Induction Logs Using An In...mentioning

confidence: 99%

Towards Real-Time 3D Modeling of Induction Logs Using an Integral Equation Method

Saputera

Jakobsen

Jahani

et al. 2023

84th EAGE Annual Conference &Amp; Exhibition

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Real-time 3D imaging of the induction log is essential for improving the decision-making process in geosteering. To fulfill this need, we investigated various strategies for reducing the computational cost for 3D modelling of induction logs using the integral equation (IE) method, including the use of iterative Krylov solver, convolution with FFT algorithm, contraction IE formulation, computation acceleration with GPUs, and domain decomposition. We present two cases example to demonstrate the implementation of IE with these strategies. In the first case, we show that the application of domain decomposition allows one to only discretize the inhomogeneous domain and save the computation cost in the case of isolated domains. We present a logging while drilling scenario on a complex model for the second case. Our implementation of the efficient IE on GPUs enables significant acceleration and allows the computation of 3D forward modelling within less than two minutes for each local 3D simulation domain with approximately two million grid cells on a laptop. The implementation of domain decomposition formulation shows a different arrangement of solving IE by decomposing the domain.

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Section: Towards Real-time 3d Modelling Of Induction Logs Using An In...mentioning

confidence: 99%

Towards Real-Time 3D Modeling of Induction Logs Using an Integral Equation Method

Saputera

Jakobsen

Jahani

et al. 2023

84th EAGE Annual Conference &Amp; Exhibition

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show abstract

“…The authors also acknowledge the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported in this paper. URL: http://www.tacc.utexas.edu induction logging measurements in almost real-time, some authors have proposed multiple fast forward simulation methods (see, e.g., [7]- [9]). Despite these efforts, there is still a need for faster and more reliable multi-dimensional inversion methods to achieve the true meaning of real-time imaging.…”

Section: Introductionmentioning

confidence: 99%

“…However, it may cause critical misinterpretations in certain geological structures: for example, when the well trajectory crosses a geological fault. In such cases, a multi-dimensional inversion method has a higher capacity of imaging the true resistivity structure [6], [7]. However, multidimensional inversion is often computationally expensive due to the need of performing CPU-time consuming forward simulations.…”

Section: Introductionmentioning

confidence: 99%

2.5-D Deep Learning Inversion of LWD and Deep-Sensing EM Measurements Across Formations With Dipping Faults

Noh

Pardo

Torres‐Verdín

2022

IEEE Geosci. Remote Sensing Lett.

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3-D induction log modelling with integral equation method and domain decomposition pre-conditioning

Saputera,

Jakobsen,

van Dongen

et al. 2023

Geophysical Journal International

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SUMMARY The deployment of electromagnetic (EM) induction tools while drilling is one of the standard routines for assisting the geosteering decision-making process. The conductivity distribution obtained through the inversion of the EM induction log can provide important information about the geological structure around the borehole. To image the 3-D geological structure in the subsurface, 3-D inversion of the EM induction log is required. Because the inversion process is mainly dependent on forward modelling, the use of a fast and accurate forward modelling tool is essential. In this paper, we present an improved version of the integral equation (IE) based modelling technique for general anisotropic media with domain decomposition pre-conditioning. The discretized IE after domain decomposition equals a fixed-point equation that is solved iteratively with either the block Gauss–Seidel or Jacobi pre-conditioning. Within each iteration, the inverse of the block matrix is computed using a Krylov subspace method instead of a direct solver. An additional reduction in computational time is obtained by using an adaptive relative residual stopping criterion in the iterative solver. Using this domain decomposition scheme, numerical experiments show computation time reductions by factors of 1.97–2.84 compared to solving the full-domain IE with a GMRES solver and a contraction IE pre-conditioner. Additionally, the reduction of memory requirement for covering a large area of the induction tool sensitivity enables acceleration with limited GPU memory. Hence, we conclude that the domain decomposition method is improving the efficiency of the IE method by reducing the computation time and memory requirement.

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Recent advances on the inversion of deep directional borehole resistivity measurements

Cited by 3 publications

References 3 publications

Towards Real-Time 3D Modeling of Induction Logs Using an Integral Equation Method

Towards Real-Time 3D Modeling of Induction Logs Using an Integral Equation Method

2.5-D Deep Learning Inversion of LWD and Deep-Sensing EM Measurements Across Formations With Dipping Faults

3-D induction log modelling with integral equation method and domain decomposition pre-conditioning

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