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Nested multiresolution hierarchical simulated annealing algorithm for porous media reconstruction.

Laurent Lemmens¹, Bart Rogiers¹, Diederik Jacques¹

¹Belgian Nuclear Research Center SCK•CEN, Mol, Belgium.

Physical Review. E

|December 25, 2019

Summary

This summary is machine-generated.

This study introduces a novel hierarchical simulated annealing algorithm for reconstructing porous media. The method enhances long-range connectivity and computational efficiency, significantly improving reconstruction quality for complex materials.

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Area of Science:

Materials Science
Computational Science
Geophysics

Background:

Porous media microstructure dictates crucial flow and transport properties.
Accurate 3D pore-scale models are essential for simulations but challenging to obtain due to scale-dependent heterogeneities.
Existing methods like simulated annealing (SA) struggle with long-range connectivity and multiphase reconstruction.

Purpose of the Study:

To develop an advanced simulated annealing algorithm for improved porous media reconstruction.
To address limitations of standard SA, specifically in long-range connectivity and multiphase simulations.
To enhance the accuracy and efficiency of generating realistic 3D microstructural models.

Main Methods:

A hierarchical, multiresolution, and multiphase simulated annealing algorithm was developed.
The algorithm reconstructs materials by simulating phases sequentially in a hierarchical manner.
It employs a coarser resolution for larger particles, which is subsequently refined, improving computational efficiency.

Main Results:

The proposed algorithm significantly improves binary reconstruction quality, with multiple-point histogram accuracy enhanced by an order of magnitude.
It achieves a substantial overall speed-up in reconstruction time compared to standard SA.
The method outperforms direct sampling multiple-point statistics for cement paste microstructure generation in both speed and quality.

Conclusions:

The hierarchical multiresolution and multiphase simulated annealing algorithm offers a superior approach for porous media reconstruction.
It effectively handles complex microstructures, improves connectivity, and reduces computational cost.
This advancement enables more accurate simulations of flow and transport in heterogeneous materials.