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Article
Open AccessFast and Accurate Approximation to Kriging Using Common Data Neighborhoods
Unknown values of a random field can be predicted from observed data using kriging. As data sets grow in size, the computation times become large. To facilitate kriging with large data sets, an approximation w...
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Article
Open AccessUsing Multiple Grids in Markov Mesh Facies Modeling
A multigrid Markov mesh model for geological facies is formulated by defining a hierarchy of nested grids and defining a Markov mesh model for each of these grids. The facies probabilities in the Markov mesh m...
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Book
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Article
Open AccessFacies Modeling Using a Markov Mesh Model Specification
The spatial continuity of facies is one of the key factors controlling flow in reservoir models. Traditional pixel-based methods such as truncated Gaussian random fields and indicator simulation are based on o...
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Chapter
Theory of the Cloud Transform for Applications
We present the multidimensional cloud transform and propose an estimator for the transform. The estimation procedure is based on scatter plot smoothing. The resulting transform does not introduce artificial di...
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Chapter
Sensitivity of Oil Production to Petrophysical Heterogeneities
The multi-partner Saigup project was established to systematically investigate the relative importance of key geological heterogeneities on simulated production. In order to investigate the impact of the geost...
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Chapter
When can Shape and Scale Parameters of a 3D Variogram be Estimated?
We have used a method of least squares to fit full 3D variogram models to data, and have tested it on data taken from Gaussian random fields. The empirical variogram estimates are made using various lag grid d...