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Systematic sampling of vein systems often reveals a power-law distribution of the number of veins ( N ) to the vein thickness ( t ) of the form N = Ct -D . A comparison of vein thickness distributions from different geological settings establishes systematic variations between vein populations, with lower D -values characterizing well-connected vein systems. Low D -value vein systems are reported from mineral deposits and from veins developed within and around fault zones, often at constant vein frequency. Simple models are described to explain the field observations which suggest that the observed variations in vein thickness distributions are directly related to the connectivity of the sampled vein network.

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