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Three-Dimensional, Frequency-Domain Simulations of Geological Variables

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Abstract

Layered three-dimensional, frequency-domain computer simulations have many advantages an an alternative to the turning band method, for certain geological problems. Computer speed and even, accurate duplication of statistical properties are the main advantages. Limitations in the permitted extent in the third dimension are the primary disadvantages of the method.

The symmetries implicit in the discrete Fourier transform are exploited to gain computer speed. An extensive mathematical theory for one-, two-, and three-dimensional spectra corresponding to common variograms is developed for use in the frequency-domain simulations.

A numerical example of the computational procedures is presented.

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© 1984 D. Reidel Publishing Company

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Borgman, L., Taheri, M., Hagan, R. (1984). Three-Dimensional, Frequency-Domain Simulations of Geological Variables. In: Verly, G., David, M., Journel, A.G., Marechal, A. (eds) Geostatistics for Natural Resources Characterization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3699-7_30

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  • DOI: https://doi.org/10.1007/978-94-009-3699-7_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8157-3

  • Online ISBN: 978-94-009-3699-7

  • eBook Packages: Springer Book Archive

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