Dynamic analyses of multilayered poroelastic media using the generalized transfer matrix method: Fid-Bau Portal

Dynamic analyses of multilayered poroelastic media using the generalized transfer matrix method

Liu, Tianyun / Zhao, Chongbin

Abstract Since the generalized transfer matrix method overcomes the intrinsic instability of the Thomson–Haskell transfer matrix method for both high frequencies and/or thick layers, it can produce stable and accurate solutions for the dynamic analysis of viscoelastic media as well as anisotropic media. This paper extends the generalized transfer matrix method to the dynamic analysis of multilayered poroelastic media. Main improvements include the presentation of the concisely explicit general solutions for the dynamic analysis of multilayered poroelastic media and the derivation of an analytical inversion of 8×8 order layer matrix corresponding to the general solutions. The explicit solutions are valid for the dynamic analysis of one-dimensional, two-dimensional and three-dimensional poroelastic medium problems. In addition, an efficient recursive scheme is proposed for accurate determination of the equivalent interface sources for multilayered poroelastic media due to excitation by a source at an arbitrary depth. For the dynamic analysis of multilayered poroelastic media, the generalized transfer matrix method recursively transfers both the interface stiffness matrix and equivalent source starting from the bottom half space to the top layer, without resort to the numerical solution of the assembled global equations as the exact stiffness matrix method does. While keeping the simplicity of the Thomson–Haskell transfer matrix method, the generalized transfer matrix method is both accurate and stable. The related numerical examples have demonstrated that the generalized transfer matrix method is an alternative approach to conducting the dynamic analysis of multilayered poroelastic media.

Highlights ► Stable transfer matrix method for dynamic analyses of layered poroelastic media. ► Presentation of an explicit general solutions for one-dimensional, two-dimensional and three-dimensional poroelastic media. ► Derivation of an analytical inversion of 8×8 order layer matrix. ► Accurate determination of the stiffness matrix and equivalent interface sources.