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This work presents a certain network model of porous medium. The model consists of capillaries, with the range of sizes distributed randomly in 2D regular networks of constant topological structures. The variety of the tube radii models the variety of dimensions, shapes and tortuousity of real pore channels. The influence of pore size distribution and the value of coordination number of network nodes on overall resistance to flow have been considered. Special attention has been paid to the possibility of appearance in a strongly non-homogeneous network of preferential flow paths. It was also demonstrated that in the case of homogeneous network even small disturbance propagates far away to its surroundings. The observation of expanding disturbance was qualitatively confirmed by detection of flow pattern in a porous medium composed of identical spheres in cubic arrangement. CECC
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