Constructing a Numerically Statistical Model of a Homogeneous Random Field with a Given Distribution of the Integral over One of the Phase Coordinates
- Authors: Mikhailov G.A.1,2, Kablukova E.G.1, Ogorodnikov V.A.1,2, Prigarin S.M.1,2
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 100, No 3 (2019)
- Pages: 529-532
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225737
- DOI: https://doi.org/10.1134/S1064562419060073
- ID: 225737
Cite item
Abstract
A numerically implementable model of a three-dimensional homogeneous random field in a “horizontal” layer 0 < z < H is constructed assuming that the integral of the field with respect to the “vertical” coordinate z has a given infinitely divisible one-dimensional distribution and a given correlation function. An aggregate of n independent elementary horizontal layers of thickness h = H/n shifted vertically by a random variable uniformly distributed in the interval (0, h) is considered as a basic model.
About the authors
G. A. Mikhailov
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: gam@osmf.sscc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
E. G. Kablukova
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: kablukovae@sscc.ru
Russian Federation, Novosibirsk, 630090
V. A. Ogorodnikov
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Email: kablukovae@sscc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
S. M. Prigarin
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences; Novosibirsk State University
Email: kablukovae@sscc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090