Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
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Serguei Yu. Maliassov
und
Yuri V. Vassilevski
Abstract
We show theoretically and numerically that the lowest non-trivial eigenvector function for a specific eigenproblem has almost constant values in high conductivity channels, which are different in separate channels. Therefore, based on these distinct values, all separate connected clusters of open pores can be identified in digital cores.
Funding statement: The work is supported by the Ministry of Science and Higher Education of the Russian Federation, Agreement 075-10-2021-093, Project MMD-RND-2265.
Acknowledgment
The authors would like to thank Dr. Yalchin Efendiev for fruitful discussions and valuable suggestions.
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences
Artikel in diesem Heft
- Frontmatter
- Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics
- Non-local discretization of the isoneutral diffusion operator in a terrain-following climate ocean model
- Numerical model of Earth ionosphere F region based on three-dimensional transport and ambipolar diffusion equations
- Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem
- The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
- Multiresolution approximation for shallow water equations using summation-by-parts finite differences
