Constructing a numerically statistical model of a homogeneous random field with the given distribution of the integral over one of the phase coordinates

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Abstract

The problem of constructing a numerically realizable model of a three-dimensional homogeneous random field in a “horizontal” layer 0 < z < H with given one-dimensional distribution and correlation function of the integral over “vertical” coordinate z is solved. An aggregate of n independent elementary horizontal layers of thickness h = H/n, vertically shifted by a random value 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 of the Russian Academy of Sciences; Novosibirsk State University

Author for correspondence.
Email: gam@osmf.sscc.ru

Corresponding Member of the Russian Academy of Sciences

Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090

E. G. Kablukova

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences

Email: kablukovae@sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090

V. A. Ogorodnikov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University

Email: gam@osmf.sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090

S. M. Prigarin

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University

Email: gam@osmf.sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090

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