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Mathematical Geology

, Volume 38, Issue 1, pp 17–32 | Cite as

Object Models with Vector Steering

  • Ragnar Hauge
  • Anne Randi SyversveenEmail author
  • Alister Macdonald
Article

Abstract

Object models are widely used to model the distribution of facies in a reservoir. Several computer programs exist for modelling fluvial channels or more general facies objects. This paper focuses on a marked point model with objects that are able to orient locally according to a vector field. In this way, objects with locally varying curvature are created. With this kind of objects it is possible to model complex depositional basins, that are not easily modelled with conventional methods. The new object type is called Backbone objects. The objects have a piecewise linear centerline and are able to follow the direction of a three-dimensional vector field locally in lateral and vertical direction. How well the objects follow the vector field is determined by three parameters. Use of different coordinate systems and mapping between the systems make it possible to generate Gaussian random fields that follow the shape and direction of the objects. The Gaussian fields can be used to model petrophysical variables, which is important for fluid flow modelling.

Key Words

facies modelling vector field Backbone objects local orientation turbidites 

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References

  1. 1.
    Deutsch, C., and Wang, L., 1996, Hierarchial object-based stochastic modeling of fluvial reservoirs: Math. Geol., v. 28, p. 857–880.CrossRefGoogle Scholar
  2. 2.
    Hauge, R., Syversveen, A., and MacDonald, A., 2003, Modeling facies bodies and petrophysical trends in turbidite reservoirs: in 2003 Annual Technical Conference and Exhibition: Society of Petroleum Engineers, Denver, CO, SPE paper no. 84053, 7 p on CD.Google Scholar
  3. 3.
    Holden, L., Hauge, R., Skare, O., and Skorstad, A., 1998, Modelling of fluvial reservoirs with object models: Math. Geol., v. 30, no. 5, p. 473–496.CrossRefGoogle Scholar
  4. 4.
    Jones, T., 1999, Controlling body orientation in object-based modeling: Flowpaths and vector fields, in Lippard, S. Næss, A., and Sinding-Larsen, R., eds., Proceedings of the 5th annual conference of the International Association for Mathematical Geology, Vol. 2: Tapir, Tronhdeim, Norway, p. 633–638.Google Scholar
  5. 5.
    Jones, T., 2001, Using flowpaths and vector fields in object-based modeling: Comput. & Geosci., v. 27, p. 133–138.CrossRefGoogle Scholar
  6. 6.
    Jones, T., and Foreman, J., 2003, Azimmod: Method to honor channel directionality when building 3-d petrophysical models: Comput. & Geosci., v. 29, p. 1033–1044.CrossRefGoogle Scholar
  7. 7.
    Lia, O., Tjelmeland, H., and Kjellesvik, L., 1996, Modelling of facies architecture by marked point models: in Baafi, E., and Schofield, N., eds., Geostatistics Wollongong '96, vol. 1: Kluwer Academic, Dordrecht, The Netherlands, p. 386–397.Google Scholar
  8. 8.
    Patterson, P., Jones, T., Donofrio, C., Donovan, A., and Ottmann, J., 2002, Geologic modelling of external and internal reservoir architecture of fluvial depositional systems: in Armstrong, M., Bettini, C., Champigny, N., Galli, A., and Remacre, A., eds., Geostatistics Rio 2000: Kluwer Academic, Dordrecht, The Netherlands, p. 41–52.Google Scholar
  9. 9.
    Stow, D., Reading, H., and Collinson, J., 1996, Deep seas: in Reading, H., ed., Sedimentary environments, processes, facies and stratigraphy: Blackwell Sciences, Oxford, p. 395–453.Google Scholar
  10. 10.
    Syversveen, A. R., and Omre, H., 1997, Conditioning of marked point processes within a Bayesian framework: Scand. J. Stat., v. 24, no. 3, p. 341–352.CrossRefGoogle Scholar
  11. 11.
    Tarbuck, E., and Lutgens, F., 1990, The Earth: Macmillian, New York, 651 p.Google Scholar
  12. 12.
    Viseur, S., Shtuka, A., and Mallet, J., 1998, New fast, stochastic, boolean simulation of fluvial deposits: in 1998 Annual Technical Conference and Exhibition: Society of Petroleum Engineers, New Orleans, LA, SPE paper no. 49281, p. 697–709.Google Scholar
  13. 13.
    Yang, K., Yarus, J., and Catanese, W., 1999, Characterization and 3-D modeling of turbidite reservoir: A case study in miocene slope deposits, Main Pass Area, offshore Gulf Coast of Mexico: in Gulf Coast Association of Geological Societies Transactions, v. XLVIIII, p. 54–61.Google Scholar

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Ragnar Hauge
    • 1
  • Anne Randi Syversveen
    • 1
    Email author
  • Alister Macdonald
    • 2
  1. 1.Norwegian Computing CenterOsloNorway
  2. 2.Roxar ASAKuala LumpurMalaysia

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