Abstract:Mass dimensions of natural resources, established from power law scaling relationships between numbers of resources and distance from an origin, have important implications for ore-forming processes, resource estimation and exploration. The relation between the total quantity of resource and distance, measured by the mass-radius scaling exponent, may be even more useful. Lode gold deposits, geothermal wells and volcanoes, and conventional and unconventional gas wells are examined in this study. The scaling exponents generally increase from the lode gold through geothermal wells to gas data sets, reflecting decreasing degrees of clustering. Mass dimensions are similar to the mass-radius scaling exponents, and could be used as substitutes in the common case that data are not available for the latter. All of these resources are formed by fluid fluxes in the crust, and therefore percolation theory is an appropriate unifying framework to understand their significance. The mass dimensions indicate that none of the percolation networks that formed the deposits reached the percolation threshold. 2
AbstractMass dimensions of natural resources, established from power law scaling relationships between numbers of resources and distance from an origin, have important implications for oreforming processes, resource estimation and exploration. The relation between the total quantity of resource and distance, measured by the mass-radius scaling exponent, may be even more useful. Lode gold deposits, geothermal wells and volcanoes, and conventional and unconventional gas wells are examined in this study. The scaling exponents generally increase from the lode gold through geothermal wells to gas data sets, reflecting decreasing degrees of clustering. Mass dimensions are similar to the mass-radius scaling exponents, and could be used as substitutes in the common case that data are not available for the latter. All of these resources are formed by fluid fluxes in the crust, and therefore percolation theory is an appropriate unifying framework to understand their significance. The mass dimensions indicate that none of the percolation networks that formed the deposits reached the percolation threshold.