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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 621.391:519.2
Sergienko I.V., Deineka V.S., Lytvyn O.N., Lytvyn O.O.

A METHOD OF INTERLINEATION OF VECTOR FUNCTIONS W(X,Y,Z,T) ON A SYSTEM OF VERTICAL STRAIGHT LINES AND ITS APPLICATION IN CROSSHOLE SEISMIC TOMOGRAPHY

Abstract. The authors propose a method to construct interlineation operators for vector functions w(x,y,z,t) on a system of arbitrarily located vertical straight lines. The method allows calculating the vector w at each point (x,y,z,t) between straight lines Гk for any instant of time t ≥0. They are proposed to be used to construct a crosshole accelerometer to model Earth crust on the basis of seismic sounding data wk (z, t), k=1,M, about the vector of acceleration w(x,y,z,t) received by accelerometers at each chink Гk.

Keywords: seismic tomography, vector of acceleration, interlineation of functions, seismic sounding of Earth’s crust, accelerometers.



FULL TEXT

Сергиенко Иван Васильевич,
академик НАН Украины, директор Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: aik@publik.icyb.kiev.ua.

Дейнека Василий Степанович,
академик НАН Украины, заведующий отделом Института кибернетики им. В.М. Глушкова НАН Украины, Киев,
e-mail: vdeineka@ukr.net.

Литвин Олег Николаевич,
доктор физ.-мат. наук, заведующий кафедрой Украинской инженерно-педагогической академии, Харьков,
e-mail: aik@publik.icyb.kiev.ua.

Литвин Олег Олегович,
кандидат физ.-мат. наук, доцент Украинской инженерно-педагогической академии, Харьков.

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