Monitoramento de Geomateriais - Uma Abordagem Hamiltoniana

Abstract

In this work a poroelasticity model is used to give the waves propagation in geomaterials. The tensor of tensions is presented in order to describe the plastic behavior of materials. The construction of such matrix takes into account the hypothesis that in the initial instant of time in which the analysis is started the geomaterial behaves like a solid, getting thus initial stiffness matrix. From this, build up a mechanical model taking into account the poropreassure generates by fluid-structure interaction. The amount of mass that percolates through the porous material is described by Darcy's laws taking into account the Biot's works. In order to describe the dynamic of structure the Hamiltonian of the geomaterial is constructed based on Christofffel's equations.