Análise do acoplamento fluxo-deformação em meios geotécnicos saturados

Abstract

It is presented a study for the development and resolution of the equations of the coupling flow - deformation in porous media saturated with compressible fluid. The cases in analyses are transients, two-dimensional or three-dimensional systems, and are studied with the objective of get displacements on the surface, the field of stresses and deformations in the geotechnical medium, submitted to a static or cyclic superficial load. The process allows simulation of the ground behavior, soil or rock, consisting of different elastic and hydraulic properties when submitted a static, cyclical or harmonic superficial load. A field of pressure in the pores is generated in all medium as consequence of this load in the surface of the ground. A computer program simulates the pressure in the pores and all process of balance, deformation and the initial condition: neutral pressure in all points, express porous pressure numerically. The developed mathematical model simulates the field of stresses and displacements in the interior of the porous media, connected to the draining fluid in the pores, to the deformation fluid and the constituent porous structure. It can be observed that the biggest deformation occurs, mainly, due to reduction of the emptiness s, as consequence of a rearrangement internal structure of the ground, soil or the rock in analysis. The study it is made considering that the constituent solid particles of the geotechnical medium are incompressible. The equations that conduct the phenomenon are solved numerically through the technique of the spectral method, using a mesh of points of collocation in the analyzed domain and following evolution of the pressure with the time. The dissipation of the pressure connects to the displacements in the porous media, inducing the variation of stress in the interior of the medium.