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The problem of capillary transport in fibrous porous materials at low levelsof liquid saturation has been addressed. It has been demonstrated, that theprocess of liquid spreading in this type of porous materials at low saturationcan be described macroscopically by a similar super-fast, non-linear diffusionmodel as that, which had been previously identified in experiments andsimulations in particulate porous media. The macroscopic diffusion model hasbeen underpinned by simulations using a microscopic network model. Thetheoretical results have been qualitatively compared with availableexperimental observations using persistent liquids.

Capillary transport in paper porous materials at low saturation levels