Weappreciate the analysis of our paper (Yu et al., 2009) made by Zhou et al. (2010) and would like to reply to their comments.

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We agree mostly with the comments of Zhou et al. and agree that complementary fractal sets between phases in a porous medium are impossible mathematically, as stated on page 181 in our paper (Yu et al., 2009): “A two-phase exactly self-similar fractal porous medium may not exist”, but they may be possible in an “apparent” (i.e., approximate or “look-like”) sense. Therefore, one must be careful in describing complementary fractals. Here...

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