A new method for determining the permeability coefficient of porous media for assessing soil properties on the example of the Arctic region

The permeability coefficient directly affects the rate of water filtration in the soil; the values of filtration rates, in turn, largely determine the design and materials [1] used in the construction of underground or buried structures. There are a number of methods [2] that make it possible to determine the permeability coefficient experimentally, however, the obtained values have a high dispersion - the results may differ up to the third order, which is explained by the use of different equipment, the preparation technique and the texture of the samples under study, the insufficient number of test samples, the errors of the applied pressure, local inhomogeneities, etc. Most of these factors are not significant in a computational experiment, and therefore the proposed approach for determining the permeability of a medium is based on the method of lattice Boltzmann equations (LBM). As a result, the dependence of the medium permeability on the porosity coefficient at the microlevel was experimentally determined. Subsequently, the found law was compared with the results of the analytical solution.