Abstract
The authors propose a method to construct interlineation operators for vector functions \( \vec{w} \) (x, y, z, t) on a system of arbitrarily located vertical straight lines. The method allows calculating the vector \( \vec{w} \) at each point (x, y, z) between straight lines Γ k for any instant of time t ≥ 0. They are proposed to be used to construct a crosshole accelerometer to model Earth’s crust on the basis of seismic sounding data \( {{\vec{w}}_k}\left( {z,t} \right),\,k=\overline{1,M} \), about the vector of acceleration \( \vec{w} \) (x, y, z, t) received by accelerometers at each chink Γ k .
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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2013, pp. 61–73.
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Sergienko, I.V., Dejneka, V.S., Lytvyn, O.N. et al. The method of interlineation of vector functions \( \vec{w} \) (x, y, z, t) on a system of vertical straight lines and its application in crosshole seismic tomography . Cybern Syst Anal 49, 379–389 (2013). https://doi.org/10.1007/s10559-013-9521-4
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DOI: https://doi.org/10.1007/s10559-013-9521-4