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Directional hydrostratigraphic units simulation using MCP algorithm

delete2017-12-26
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PRE
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N
Nicolas Benoît *
D
Denis Marcotte
A
Alexandre Boucher
D
Dimitri D’Or
A
Andy F. Bajc
H
Hassan Rezaee
DOI:10.1007/s00477-017-1506-9delete
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Abstract

Abstract

En 中文
Understanding the geological uncertainty of hydrostratigraphic models is important for risk assessment in hydrogeology. An important feature of sedimentary deposits is the directional ordering of hydrostratigraphic units (HSU). Geostatistical simulation methods propose efficient algorithm for assessing HSU uncertainty. Among different geostatistical methods to simulate categorical data, Bayesian maximum entropy method (BME) and its simplified version Markov-type categorical prediction (MCP) present interesting features. In particular, the zero-forcing property of BME and MCP can provide a valuable constrain on directional properties. We illustrate the ability of MCP to simulate vertically ordered units. A regional hydrostratigraphic system with 11 HSU and different abundances is used. The transitional deterministic model of this system presents lateral variations and vertical ordering. The set of 66 (11 x 12/2) bivariate probability functions is directly calculated on the deterministic model with fast Fourier transform. Despite the trends present in the deterministic model, MCP is unbiased for the HSU proportions in the non-conditional case. In the conditional cases, MCP proved robust to datasets over-representing some HSU. The inter-realizations variability is shown to closely follow the amount and quality of data provided. Our results with different conditioning datasets show that MCP replicates adequately the directional units arrangement. Thus, MCP appears to be a practical method for generating stochastic models in a 3D hydrostratigraphic context.
Keywords:
Bayesian maximum entropy (BME)
Markov-type categorical prediction (MCP)
Bivariate probabilities
Hydrostratigraphic units (HSU)
Units ordering
Categorical simulation
Model uncertainty
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Stochastic Environmental Research and Risk Assessment cover
Stochastic Environmental Research and Risk Assessment
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universite de montreal
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lands & minerals sector - natural resources canada
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