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The evolution and spatial structure of displacement fronts in fractures withself-affine rough walls are studied by numerical simulations. The fractures areopen and the two faces are identical but shifted along their mean plane, eitherparallel or perpendicular to the flow. An initially flat front advected by theflow is progressively distorted into a self-affine front with Hurst exponentequal to that of the fracture walls. The lower cutoff of the self-affine regimedepends on the aperture and lateral shift, while the upper cutoff growslinearly with the width of the front.Comment: Submitted to Phys. Rev. Let

Self-Affine Fronts in Self-Affine Fractures: Large and Small-Scale Structure