Extracting connectivity paths in digital core images using solution of partial minimum eigenvalue problem. (English) Zbl 1530.65153
Summary: 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.
MSC:
| 65N25 | Numerical methods for eigenvalue problems for boundary value problems involving PDEs |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
| 65F15 | Numerical computation of eigenvalues and eigenvectors of matrices |
| 65Z05 | Applications to the sciences |
| 74L10 | Soil and rock mechanics |
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