Theoretical estimation of the critical sampling size for homogeneous ore bodies with small nugget effect

Modis, K; Papaodysseus, K

dc.contributor.author	Modis, K	en
dc.contributor.author	Papaodysseus, K	en
dc.date.accessioned	2014-03-01T01:25:18Z
dc.date.available	2014-03-01T01:25:18Z
dc.date.issued	2006	en
dc.identifier.issn	0882-8121	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17638
dc.subject	Accuracy of estimation	en
dc.subject	Geostatistics	en
dc.subject	Sampling density	en
dc.subject	Sampling theorem	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Approximation theory	en
dc.subject.other	Estimation	en
dc.subject.other	Ore deposit geology	en
dc.subject.other	Sampling	en
dc.subject.other	Statistical methods	en
dc.subject.other	estimation method	en
dc.subject.other	geostatistics	en
dc.subject.other	ore body	en
dc.subject.other	theoretical study	en
dc.title	Theoretical estimation of the critical sampling size for homogeneous ore bodies with small nugget effect	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11004-005-9020-x	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11004-005-9020-x	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The aim of this work is to investigate whether it is possible to determine a critical sampling grid density for a given ore body, above which further improvement in the accuracy of the estimated ore reserves would be small or negligible. The methodology employed is based on the theory of information. First, it is proven that the range of influence, when appears in the variogram function, is a measure of the maximum variability frequency observed in the ore body. Then, a simple application of the well-known sampling theorem shows that, under certain assumptions, it is possible to define a critical sampling density as mentioned before. An approximate rule of thumb can then be stated: That critical sampling grid size is half the range of influence observed in the variogram. © International Association for Mathematical Geology 2006.	en
heal.publisher	SPRINGER/PLENUM PUBLISHERS	en
heal.journalName	Mathematical Geology	en
dc.identifier.doi	10.1007/s11004-005-9020-x	en
dc.identifier.isi	ISI:000242830400006	en
dc.identifier.volume	38	en
dc.identifier.issue	4	en
dc.identifier.spage	489	en
dc.identifier.epage	501	en