Skip to main content
Log in

The practice of fast conditional simulations through the LU decomposition of the covariance matrix

  • Articles
  • Published:
Mathematical Geology Aims and scope Submit manuscript

Abstract

The LU-matrix approach to conditional simulations allows fast generation of large numbers of realizations for a given stochastic process. Simplicity, flexibility, and quality are its main advantages. Its implementation for cases where dense grids and/or large numbers of conditioning data cause computational problems is discussed. A case study is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Davis, Michael W. and Grivet, Cyril, 1984, Kriging in a Global Neighborhood: Math. Geol., v. 16, p. 249–265.

    Google Scholar 

  • Davis, Michael W., 1983, Production of Conditional Simulations via the LU Decomposition of the Covariance Matrix: Math. Geol., v. 19, n. 2, p. 91–98.

    Google Scholar 

  • Isaaks, E., 1984, Risk Qualified Mappings for Hazardous Waste Sites: A Case Study in Distribution Free Geostatistics: Masters Thesis, Department of Applied Earth Sciences, Stanford University, 85 p.

  • Journel, A. G. and Huijbregts, C. J., 1978, Mining Geostatistics: Academic Press, London, 600 p.

    Google Scholar 

  • Luster, G. R., 1985, Raw Materials for Portland Cement: Applications of Conditional Simulation of Coregionalization: PhD Thesis, Department of Applied Earth Sciences, Stanford University, 530 p.

  • Verly, G., 1984, The Block Distribution Given a Point Multivariate Normal Distribution: Geostatistics for Natural Resources Characterization (part 1): NATO ASI Series D. Reidel Publishing Company, Dordrecht, Netherlands, p. 495–515.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alabert, F. The practice of fast conditional simulations through the LU decomposition of the covariance matrix. Math Geol 19, 369–386 (1987). https://doi.org/10.1007/BF00897191

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00897191

Key words

Navigation