The authors propose a method to construct interlineation operators for vector functions r w x y z t ( , , , ) on a system of arbitrarily located vertical straight lines. The method allows calculating the vector r w at each point ( , , ) x y z between straight lines G k for any instant of time t ³ 0 . They are proposed to be used to construct a crosshole accelerometer to model Earth's crust on the basis of seismic sounding data r w z t k M k ( , ), , = 1 , about the vector of acceleration r w x y z t ( , , , ) received by accelerometers at each chink G k .