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  1. Article

    Open Access

    Fast 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...

    Maria Vigsnes, Odd Kolbjørnsen, Vera Louise Hauge, Pål Dahle in Mathematical Geosciences (2017)

  2. Article

    Open Access

    Using 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...

    Odd Kolbjørnsen, Marita Stien, Heidi Kjønsberg, Bjørn Fjellvoll in Mathematical Geosciences (2014)

  3. No Access

    Book

  4. Article

    Open Access

    Facies 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...

    Marita Stien, Odd Kolbjørnsen in Mathematical Geosciences (2011)

  5. No Access

    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...

    Odd Kolbjørnsen, Petter Abrahamsen in Geostatistics Banff 2004 (2005)

  6. No Access

    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...

    Arne Skorstad, Odd Kolbjørnsen, Bjorn Fjellvoll, John Howell in Geostatistics Banff 2004 (2005)

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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...

    Pal Dahle, Odd Kolbjørnsen, Petter Abrahamsen in Geostatistics Banff 2004 (2005)