We report an experimental and theoretical study of wetting front propa
gation in anisotropic paper. The height-height correlation function is
measured in the presence of large scale biasing and is found to scale
with an exponent chi = 0.4. Theoretical analysis of this two-dimensio
nal invasion predicts logarithmic scaling for isotropic paper. The obs
erved nonzero roughness is due to correlated randomness and anisotropy
in the paper.