The study of fluid flow in porous media is relevant in various applications from chemical to environmental
and geoenergy engineering. Understanding and properly simulating multi-phase flow phenomena
at both micro and macro scales is fundamental in particular in the view of underground
storage of fluids like methane, hydrogen, and CO2. This work aims at resuming the idea behind the
Lattice Boltzmann Method (LBM) for modeling multi-phase flows through underground porous
media, aiming at highlighting the advantages, and the possible approaches for single-phase and
multi-phase flow. Moreover, an algorithmic analysis is given in single-phase and compared to more
popular multi-phase Lattice Boltzmann models proposed and their main computing strategies.
Direct numerical simulation (DNS) of flow in porous structures has become popular in recent years
due to the novel high-performance computing architectures, which involve many cores or threads
in calculation. This work concludes with an overview of the most common open-source codes available
online to approach porous media flow simulation in this context and emphasize the most
common for HPC applications
