variavel0=<b>Joaquim M. Caleiro Acerbi</b> - acerbi@ufu.br Universidade Federal de Uberlāndia
<b>Ricardo Fortes de Miranda</b> - miranda@ufu.br universidade Federal de Uberlāndia
<b>Abstract.</b> It is made a two-dimensional study of the joining flow-deformation in porous media saturated with a compressible fluid. Supposing initially a solid semi-infinite, porous, homogeneous and isotropic, and with the use of the concept of effective stress of Terzaghi, and application of the parameters of generation of neutral pressure of Skempton , we have mathematically as initial condition, neutral pressure in every porous of the system. The field of stress caused by a load in the surface of the solid induces flow in the porous way coupled to the deformation of the own fluid and of the solid particles and, mainly, due to decrease of the emptiness, as consequence of an internal rearrange of, for example, the soil or rock in analysis. The applied mathematical procedure also allows the study of some anisotropic system through the determination of equivalent isotropic system. Also through the develop equations it is possible to calculate the field of displacement, in any point of the solid and in the surface, the field of stress and the field of velocity of the fluid in porous way, in the space and time domain. As numeric example is presented the comparison with the classic case of the consolidation unidimensional test for soils.
<b>Keywords.</b> JOINING, FLOW, DEFORMATIONS, POROUS MEDIA, SOILS.