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Related Experiment Video

Updated: Feb 13, 2026

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Dynamic Pore-scale Reservoir-condition Imaging of Reaction in Carbonates Using Synchrotron Fast Tomography

Published on: February 21, 2017

Fast Laplace solver approach to pore-scale permeability.

C H Arns¹, P M Adler²

¹School of Petroleum Engineering, University of New South Wales, Sydney, NSW 2052, Australia.

Physical Review. E

|March 18, 2018

Summary

This summary is machine-generated.

We developed a fast and stable pore-scale method to calculate fluid flow permeability in porous media. This new approach offers excellent agreement with experimental and simulation data across various porosities.

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Area of Science:

Geosciences
Physics
Chemical Engineering

Background:

Accurate pore-scale permeability calculation is crucial for understanding fluid flow in porous materials.
Existing methods like Lattice Boltzmann can be computationally intensive and memory-demanding.

Purpose of the Study:

To introduce a novel, efficient, and stable method for calculating pore-scale permeability.
To provide a robust alternative to existing simulation techniques for porous media flow.

Main Methods:

Utilized an approximation based on the Poiseuille equation for fluid flow permeability.
Employed a Laplace solver coupled with Euclidean distance mapping of the fluid phase to assign local conductivities.
Validated the method against analytical solutions, experimental measurements, and Lattice Boltzmann calculations for Fontainebleau sandstone.

Main Results:

The proposed method demonstrated significant improvements in stability, memory usage, and computational speed compared to Lattice Boltzmann.
Permeability calculations showed excellent agreement with analytical solutions, experimental data, and Lattice Boltzmann results over a wide range of porosities.
The method naturally handles multiscale problems inherent in porous media.

Conclusions:

The introduced method offers a powerful, stable, and efficient approach for pore-scale permeability calculations.
This technique provides a valuable tool for researchers and engineers studying fluid flow in porous media.
The ease of implementation and computational advantages make it suitable for complex, multiscale simulations.