A new analytic model of fractal imbibition in porous media is derived. The topological Hausdorff dimension is used as a fractal parameter inthe proposed model. The fractal formulation is based on the model introduced by Li and Zhao to predict the production rate by spontaneousimbibition. Cantor Tartans and Menger sponge fractals are used to simulate fractal porous media with different ramifications. Results ofillustrative examples are presented in the form of a set of curves, which reveal the features of enhanced oil recovery of the model underconsideration. The results are compared with the experimental behaviour found on core samples of previous publications.