A computer model based on a 2-D Voronoi tessellation is proposed to represent the porous structure of an asymmetric inorganic membrane and to simulate the fouling process that takes place during filtration of particle suspensions. Voronoi tessellation has proved to be an effective tool in modeling this kind of porous media. II consists of dividing the space into irregular convex polygonal entities (polygons in 2-D). Th, tessellation structure can be changed by imposing different constraints. on the pattern of convex polygons that form it, allowing to represent very close the cross section of an inorganic membrane. Several ways to transform a tessellation in a model of porous media have been implemented. In this study, edges between polygons are considered to be pure segments making a whole pore space embedded into a solid structure. The geometry of each pore segment is completely specified by three parameters: pore body diameter, pore throat diameter and pore length. The first one is computed so that the pore volume fraction matches the porosity of the clean membrane. Pore throat diameter is randomly assigned to each pore segment from a previously specified pore size distribution. Basic fluid dynamics is used to evaluate the fluid flow along a pore segment in terms of its geometry and the pressure difference at its ends. These local flows are used to determine total fluid flow through the membrane and its effective permeability. The filtration process of a suspension of solid particles with a given size distribution is simulated. Particles larger than pore bodies located on the active surface cannot move into the tessellation (membrane) but they can produce a surface layer leading to cake formation. Otherwise, particles small enough penetrate the tessellation (membrane) blocking an interior pore segment (the fluid flow through that segment ceases) or reducing its size. In both cases, a reduction in the total flow because of interior fouling is produced. Data are presented for membrane permeability and flow reduction at different degrees of fouling. The effect of pore size distribution as related to particle size on the prevalent type of fouling is considered.