Abstract
Stochastic simulation is increasingly used to map the spatial variability in the grades of elements of interest and to assess the uncertainty in the mineral resources and ore reserves. The practical implementation requires specifying a stochastic model, which describes the spatial distribution of the grades, and an algorithm to construct realizations of these grades, viewed as different possible outcomes or scenarios. In the case of the Gaussian random field model, a variety of algorithms have been proposed in the past decades, but their ability to reproduce the model statistics is often unequal. In this paper, we compare two such algorithms, namely the turning bands and the sequential algorithms. The comparison is hold through a synthetic case study and a real case study in a porphyry copper deposit located in southeastern Iran, in which it is of interest to jointly simulate the copper, molybdenum, silver, lead and zinc grades. Statistical testing and graphical validations are realized to check whether or not the realizations reproduce the features of the true grades, in particular their direct and cross variograms. Sequential simulation based on collocated cokriging turns out to poorly reproduce the cross variograms, while turning bands proves to be accurate in all the analyzed cases.
| Original language | English |
|---|---|
| Pages (from-to) | 84-93 |
| Number of pages | 10 |
| Journal | Comptes Rendus - Geoscience |
| Volume | 347 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jan 1 2015 |
| Externally published | Yes |
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Keywords
- Collocated cokriging
- Geological heterogeneity
- Multivariate modeling
- Sequential simulation
- Turning bands
ASJC Scopus subject areas
- Global and Planetary Change
- Earth and Planetary Sciences(all)
Cite this
Comparing sequential Gaussian and turning bands algorithms for cosimulating grades in multi-element deposits. / Paravarzar, Shahrokh; Emery, Xavier; Madani, Nasser.
In: Comptes Rendus - Geoscience, Vol. 347, No. 2, 01.01.2015, p. 84-93.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Comparing sequential Gaussian and turning bands algorithms for cosimulating grades in multi-element deposits
AU - Paravarzar, Shahrokh
AU - Emery, Xavier
AU - Madani, Nasser
PY - 2015/1/1
Y1 - 2015/1/1
N2 - Stochastic simulation is increasingly used to map the spatial variability in the grades of elements of interest and to assess the uncertainty in the mineral resources and ore reserves. The practical implementation requires specifying a stochastic model, which describes the spatial distribution of the grades, and an algorithm to construct realizations of these grades, viewed as different possible outcomes or scenarios. In the case of the Gaussian random field model, a variety of algorithms have been proposed in the past decades, but their ability to reproduce the model statistics is often unequal. In this paper, we compare two such algorithms, namely the turning bands and the sequential algorithms. The comparison is hold through a synthetic case study and a real case study in a porphyry copper deposit located in southeastern Iran, in which it is of interest to jointly simulate the copper, molybdenum, silver, lead and zinc grades. Statistical testing and graphical validations are realized to check whether or not the realizations reproduce the features of the true grades, in particular their direct and cross variograms. Sequential simulation based on collocated cokriging turns out to poorly reproduce the cross variograms, while turning bands proves to be accurate in all the analyzed cases.
AB - Stochastic simulation is increasingly used to map the spatial variability in the grades of elements of interest and to assess the uncertainty in the mineral resources and ore reserves. The practical implementation requires specifying a stochastic model, which describes the spatial distribution of the grades, and an algorithm to construct realizations of these grades, viewed as different possible outcomes or scenarios. In the case of the Gaussian random field model, a variety of algorithms have been proposed in the past decades, but their ability to reproduce the model statistics is often unequal. In this paper, we compare two such algorithms, namely the turning bands and the sequential algorithms. The comparison is hold through a synthetic case study and a real case study in a porphyry copper deposit located in southeastern Iran, in which it is of interest to jointly simulate the copper, molybdenum, silver, lead and zinc grades. Statistical testing and graphical validations are realized to check whether or not the realizations reproduce the features of the true grades, in particular their direct and cross variograms. Sequential simulation based on collocated cokriging turns out to poorly reproduce the cross variograms, while turning bands proves to be accurate in all the analyzed cases.
KW - Collocated cokriging
KW - Geological heterogeneity
KW - Multivariate modeling
KW - Sequential simulation
KW - Turning bands
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UR - http://www.scopus.com/inward/citedby.url?scp=84937976682&partnerID=8YFLogxK
U2 - 10.1016/j.crte.2015.05.008
DO - 10.1016/j.crte.2015.05.008
M3 - Article
AN - SCOPUS:84937976682
VL - 347
SP - 84
EP - 93
JO - Comptes Rendus - Geoscience
JF - Comptes Rendus - Geoscience
SN - 1631-0713
IS - 2
ER -