On the Reconstruction of Dynamic Permeability of Cancellous Bones

Abstract

This article focuses on the mathematical problem of reconstructing dynamic permeability K(ω) of two-phase composites from data at different frequencies, utilizing the analytic structure of K(ω). To numerically simulate the data by solving the unsteady Stokes equations in the 3D domain reconstructed from µ-CT scans of the composites, the issue of segmentation is also addressed in this paper and an efficient segmentation scheme is suggested and implemented for cancellous bone.