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A physical model for the simulation ink/paper interaction at the mesoscopicscale is developed. It is based on the modified Ising model, and is generalizedto consider the restriction of the finite-volume of ink and also its dynamicseepage. This allows the model to obtain the ink distribution within the papervolume. At the mesoscopic scale, the paper is modeled using a discretized fiberstructure. The ink distribution is obtained by solving its equivalentoptimization problem, which is solved using a modified genetic algorithm, alongwith a new boundary condition and the quasi-linear technique. The model is ableto simulate the finite-volume distribution of ink.

Computer Simulation of 3-D Finite-Volume Liquid Transport in Fibrous Materials: a Physical Model for Ink Seepage into Paper