Permeability is a crucial measure of flow resistance in porous media, extensively utilized in various fields such as oil/gas development, filtration analysis, groundwater transport, and hydrocarbon recovery. While some researchers have viewed permeability as a monodromic function of porosity in their studies, its determination for different porous media types poses challenges due to its intricate relationship with the pore-scale structure. An absolute permeability computational method was developed first to analyze the relationship between permeability and pore-throat parameters using the Darcy equation and lattice Boltzmann method. Then, absolute permeability was calculated for porous media with varying pore-throat parameters, with modifications to the Kozeny-Carman equation to account for pore-throat ratio and coordination number effects. Using the LBM, the prediction result of the revised Kozeny-Carman equation matched well with the actual porous media. The average error of revised equation is 25.2%, which is only 1.8% of that of the classical Kozeny-Carman equation.

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Pore-Scale Prediction of Absolute Permeability in Porous Media Using the Lattice Boltzmann Method

  • Yang Zhang,
  • Jian Hou,
  • Bei Wei

摘要

Permeability is a crucial measure of flow resistance in porous media, extensively utilized in various fields such as oil/gas development, filtration analysis, groundwater transport, and hydrocarbon recovery. While some researchers have viewed permeability as a monodromic function of porosity in their studies, its determination for different porous media types poses challenges due to its intricate relationship with the pore-scale structure. An absolute permeability computational method was developed first to analyze the relationship between permeability and pore-throat parameters using the Darcy equation and lattice Boltzmann method. Then, absolute permeability was calculated for porous media with varying pore-throat parameters, with modifications to the Kozeny-Carman equation to account for pore-throat ratio and coordination number effects. Using the LBM, the prediction result of the revised Kozeny-Carman equation matched well with the actual porous media. The average error of revised equation is 25.2%, which is only 1.8% of that of the classical Kozeny-Carman equation.