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A specific volume to measure the spatial sampling of deposits

Jacques Rivoirard
Renard Didier


A concept is proposed, that allows measuring the density of the spatial sampling of a regionalized variable in a domain. This "spatial sampling density variance" possesses an additivity property, that enables combining the values from different parts of a domain. In the case of a regular sampling pattern, the spatial sampling density variance is constant throughout the domain. It depends on the sampling grid and on the variogram, not on the extension of the domain. It can also simply be expressed as a "specific volume", similar to the inverse density of sample points in space, but taking into account the spatial structure. This can be used to compare different sampling patterns in a domain, as well as sampling patterns in different domains. In case of irregular sampling pattern, this can be mapped (like a density of points) using a moving window. The resulting map can be used to make the distinction between areas with different sampling densities. In the context of mineral resources, the concept can provide a description of the level of sampling for a deposit, or for parts of deposits sampled with different densities. This can be further used for classification, given expected production volumes.
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Dates et versions

hal-01305760 , version 1 (21-04-2016)


  • HAL Id : hal-01305760 , version 1


Jacques Rivoirard, Renard Didier. A specific volume to measure the spatial sampling of deposits. 2015. ⟨hal-01305760⟩
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