This dissertation presents a numerical study, based on the finite element method, to simulate rock pore plugging caused by the injection of water containing solid particles in suspension. Amongst the parameters that affect rock injectivity decline, the following four were analyzed, considering undimensional flow: damage coefficient, solid particle concentration present in the injection fluid, filtration coefficient and injection rate. A parametric study standing out the influence of the these factors in the loss of injectivity is also presented in this work, concluding that the numerical results agree satisfactorily with the available experimental data and analytical solutions published in the literature. This work also numerically investigates the process of rock pore plugging considering two different permeability reduction models and recovers values of the filtration coefficient (Lambda ) and the damage factor ( Beta ) through inverse analyses carried outn by the finite element method.