Lattice Boltzmann Modeling of Gas Transport in Porous Media

The Lattice Boltzmann method (LBM) has emerged as a versatile computational framework for modelling gas flow and mass transport in porous structures ranging from nanoporous shale to engineered membranes. By discretising the fluid domain into a lattice and simulating the collective dynamics of particle distribution functions, LBM captures non-continuum effects such as slip flow, transition regimes and Knudsen diffusion that are critical when pore sizes approach the molecular mean free path. The method readily accommodates complex geometries reconstructed from imaging data and couples hydrodynamic transport with diffusion and adsorption processes through multi-distribution schemes. Recent advances have extended LBM to multicomponent gas mixtures, dynamic adsorption at pore surfaces and representative elementary volume (REV) scales, enabling seamless integration of pore-scale heterogeneity with macroscale permeability estimates. These developments underpin predictive models of gas extraction from unconventional reservoirs, design of catalytic substrates and optimisation of micro- and nano-fluidic devices. By linking intrinsic pore geometry, tortuosity and surface interactions to apparent permeability, LBM studies provide mechanistic insight into how pressure, temperature and adsorptive forces govern overall transport performance. Furthermore, the method’s adaptability to high-performance computing platforms has made it possible to explore a broad spectrum of porous architectures, fostering the translation of fundamental understanding into practical applications in energy, environmental and process engineering.

Research from Nature Portfolio

Microscale LBM simulations of tight porous rocks have revealed that apparent permeability systematically exceeds intrinsic permeability due to rarefaction and slip effects. Studies using three-dimensional digital rock reconstructions demonstrate that lower pressures, higher temperatures and smaller pore throats amplify the gap between apparent and intrinsic values, with the Knudsen number serving as a key descriptor of flow regimes. Evaluation of classical correction models has shown that modified Klinkenberg formulations can accurately predict slip-enhanced permeability when adjusted proportionality factors are derived from LBM data.

At the nanoscale, LBM investigations of organic shale nano-pores have confirmed that slip velocities at solid boundaries markedly increase gas throughput, invalidating Darcy’s law under high Knudsen number conditions. Relaxation time corrections for the lattice collision operator have been introduced to capture ballistic transport, yielding reliable permeability estimates across continuum, slip and transition regimes.

Hybrid approaches combining LBM with Direct Simulation Monte Carlo have been employed to study porous microchannels with moderate porosity. Such work highlights the interplay between morphological parameters—porosity, obstacle size and specific surface area—and rarefaction, showing that tortuosity decreases at high Knudsen numbers. Comparative analyses indicate that permeability models incorporating Knudsen diffusion outperform those based solely on continuum or early transition assumptions.

Lattice Boltzmann Modeling of Gas Transport in Porous Media publication trend

The graph below shows the total number of articles in lattice boltzmann modeling of gas transport in porous media across all publications each year (not limited to Nature Index journals).

Technical terms

Lattice Boltzmann method: A mesoscopic simulation technique that models fluid dynamics by tracking particle distribution functions on a discrete lattice.

Knudsen number (Kn): The ratio of the molecular mean free path to a characteristic pore dimension, indicating flow regime (continuum, slip, transition, free-molecular).

Intrinsic permeability: The permeability measured under continuum flow conditions, independent of rarefaction or slip effects.

Apparent permeability: The effective permeability that accounts for non-continuum transport enhancements such as slip flow and Knudsen diffusion.

Slip flow regime: A flow regime in which the no-slip boundary condition fails and finite velocity exists at solid surfaces, typically 0.01 < Kn < 0.1.

Langmuir adsorption kinetics: A rate equation describing the dynamic equilibrium between gas molecules and adsorption sites on a solid surface.

References

1. Pore-scale lattice Boltzmann simulation of CO2-CH4 displacement in shale matrix. Energy (2023).
2. Study of Gas Flow Characteristics in Tight Porous Media with a Microscale Lattice Boltzmann Model. Scientific Reports (2016).
3. Lattice Boltzmann Simulation of Shale Gas Transport in Organic Nano-Pores. Scientific Reports (2014).
4. Multicomponent Lattice Boltzmann Simulations of Gas Transport in a Coal Reservoir with Dynamic Adsorption. Geofluids (2018).
5. The Application of REV‐LBM Double Mesh Local Refinement Algorithm in Porous Media Flow Simulation. Geofluids (2022).
6. Direct Simulation Monte Carlo investigation of fluid characteristics and gas transport in porous microchannels. Scientific Reports (2019).
7. Identifying the dominant transport mechanism in single nanoscale pores and 3D nanoporous media. Fundamental Research (2022).
8. Numerical Study of Gas Flow in Super Nanoporous Materials Using the Direct Simulation Monte-Carlo Method. Micromachines (2023).