GPU-based algorithm for evaluating the electrical resistivity of digital rocks
| Autor: | Tatiana Khachkova, Vadim Lisitsa, Galina Reshetova, Vladimir Tcheverda |
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| Rok vydání: | 2021 |
| Předmět: |
Computer simulation
Series (mathematics) Preconditioner Tridiagonal matrix algorithm Inverse Laplace transform Solver Computer Science::Numerical Analysis Computational Mathematics Computational Theory and Mathematics Electrical resistivity and conductivity Modeling and Simulation Computer Science::Mathematical Software Spectral method Algorithm Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 82:200-211 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2020.11.005 |
| Popis: | We present an algorithm for numerical simulation of electric current in rock samples and numerical upscaling of heterogeneous samples’ electrical resistivity (conductivity). The solver is oriented on solving strongly heterogeneous problems so that partially saturated multi-mineral core samples can be treated. The algorithm is based on the Krylov-type solver, where the preconditioner is the inverse Laplace operator for homogeneous media. To compute the preconditioner, we use the spectral method in the directions normal to the current and solving series of 1D problems by Thomas algorithm. The solver is implemented using Graphic Processor Units and allows handling samples of the size up to 40 0 3 voxels by a single GPU. |
| Databáze: | OpenAIRE |
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