A multidimensional scaling approach to enforce reproduction of transition probabilities in truncated plurigaussian simulation

Deutsch, Jared L.; Deutsch, Clayton V.

doi:10.1007/s00477-013-0783-1

Cited by 13 publications

(4 citation statements)

References 17 publications

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“…Teachers can understand the overall situation of the participants and make the teaching more targeted and effective. 1 Language testing can also enable students to understand their own language development status, to exercise their own deficiencies, and to enhance their own superiority, thereby increasing learning motivation and enhancing their sense of accomplishment. Language testing can be used to select talent.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: Feature-based association rules for the evaluation of the English network considering non-metric multidimensional scale

Song

Liu

et al. 2019

International Journal of Electrical Engineering & Education

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Section: Introductionmentioning

confidence: 99%

RETRACTED: Feature-based association rules for the evaluation of the English network considering non-metric multidimensional scale

Song

Liu

et al. 2019

International Journal of Electrical Engineering & Education

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“…Because lithotype rule, proportions and variogram models are interdependent, their fitting could be delicate. Concerning the lithotype rule, Deutsch et al (2014) and Astrakova and Dean (2014) propose new procedures to fit complex lithotype arrangements, using sequential and automatic procedures. For the GRF variogram fits, Desassis et al (2014) have developed a methodology to compute the experimental variograms of the underlying GRFs starting from lithotypes at sample points and knowing the lithotype rule and the proportions; then the fit in a Gaussian framework is easier (stationary case and classical approach).…”

Section: Discussionmentioning

confidence: 99%

Truncated Gaussian and derived methods

Beucher

Renard

2016

Comptes Rendus. Géoscience

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International audienceThe interest of a digital model to represent the geological characteristics of the field is well established. However, the way to obtain it is not straightforward because this translation is necessarily a simplification of the actual field. This paper describes a stochastic model called truncated Gaussian simulations (TGS), which distributes a collection of facies or lithotypes over an area of interest. This method is based on facies proportions, spatial distribution and relationships, which can be easily tuned to produce numerous different textures. Initially developed for ordered facies, this model has been extended to complex organizations, where facies are not sequentially ordered. This method called pluri-Gaussian simulation (PGS) considers several Gaussian random functions, which can be correlated. PGS can produce a large variety of lithotype setups, as illustrated by several examples such as oriented deposits or high frequency layering

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“…The choice between the two methods should depend on the case study and further work on this topic is required. It should also be noted that some methods that create automatic truncation rules have been developed (Deutsch and Deutsch 2014;Astrakova et al 2015). It would be interesting to generalise these methods by incorporating the shift between the Gaussian functions in order to match asymmetric transition probabilities.…”

Section: Adapting the Truncation Rule For More Faciesmentioning

confidence: 99%

Geostatistical Modelling of Cyclic and Rhythmic Facies Architectures

et al. 2018

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A Pluri-Gaussian method is developed for facies variables in three dimensions to model vertical cyclicity related to facies ordering and rhythmicity. Cyclicity is generally characterised by shallowing-upward or deepening-upward sequences and rhythmicity by the repetition of facies at constant intervals along sequences. Both of these aspects are commonly observed in shallow-marine carbonate successions, especially in the vertical direction. A grid-free spectral simulation approach is developed, with a separable covariance allowing a dampened hole-effect to capture rhythmicity in the vertical direction and a different covariance in the lateral plane along strata, as in space-time models. In addition, facies ordering is created by using a spatial shift between two latent Gaussian functions in the Pluri-Gaussian approach. Rapid conditioning to data is performed via Gibbs sampling and kriging using the screening properties of separable covariances. The resulting facies transiograms can show complex patterns of cyclicity and rhythmicity. Finally, a three dimensional case study of shallow-marine carbonate deposits at outcrop shows the applicability of the modelling method.

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A multidimensional scaling approach to enforce reproduction of transition probabilities in truncated plurigaussian simulation

Cited by 13 publications

References 17 publications

RETRACTED: Feature-based association rules for the evaluation of the English network considering non-metric multidimensional scale

RETRACTED: Feature-based association rules for the evaluation of the English network considering non-metric multidimensional scale

Truncated Gaussian and derived methods

Geostatistical Modelling of Cyclic and Rhythmic Facies Architectures

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