Abstract
Fingering during fluid-fluid displacement in porous media can be governed by two primitive parameters---capillary number and mobility ratio. Here, for porous media consisting of two or more distinguishable scales of pores, the dynamics of immiscible fingering under the influences of hierarchical structures are unravelled. In particular, the conditions under which the fingering pattern mode can be switched and controlled as a result of secondary pore structures are presented.
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