Fractional derivative modeling for axisymmetric consolidation of multilayered cross-anisotropic viscoelastic porous media

摘要

This paper presents a fractional derivative modeling for axisymmetric consolidation of multilayered cross-anisotropic viscoelastic porous media. The elastic solution for multilayered porous media is acquired by the extended precise integration method. The flexibility coefficient of the fractional Merchant viscoelastic model is deduced in the Laplace transformed domain, and the viscoelastic solution of the problem is further obtained by the elastic-viscoelastic correspondence principle. The numerical results are compared with those of published literatures to verify the proposed method, and the influences of fractional derivative order, viscoelasticity of solid skeleton and layering of materials on the axisymmetric consolidation of multilayered viscoelastic porous media are investigated by several examples. (C) 2019 Elsevier Ltd. All rights reserved.