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Calculation of clay permeability of rectangular particle water film model by two-scale asymptotic expansion method

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Document pages: 8 pages

Abstract: The permeability of soil plays an important role in geotechnical engineering, which is usually determined by the combination of measurement and theory. Using the two-scale asymptotic expansion method, based on the homogenization method and the assumption that the uniform microstructure of related porous media is accurately expressed as the representative element volume (Rev), the Navier Stokes equation is numerically solved to calculate the permeability. In this study, the permeability calculation test of sea mud is carried out on the commonly used square model. The results show that the deviation is large. It is suspected that the square model cannot represent the flat shape of clay particles and the bound water film around them. Therefore, the rectangular particle water film modeli.e., the R-W model) is proposed. After determining the horizontal and vertical characteristic length of the unit cell using two pairs of initial data, the permeabilities of other different void ratios could be inversely calculated. The results of three types of clay obtained using the R-W model agree well with the experimental data. This shows the efficient feasibility and accuracy of the R-W model by providing a good representation of the clay particles when using the double-scale asymptotic expansion method to calculate clay permeability.

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