Determination of Vibration Object’ Coordinate on Surface of Earth

Abstract

The problem of determination of vibrating object’s coordinates on Earth’s surface is considered for the case in which generated seismic waves are measured with several probes. Analytical dependencies of vibrating object’s coordinates as functions of the probes’ coordinates, relative delays of the wave front for different probes, and velocity of its propagation are obtained. Configurations involving three and four probes are being investigated, calculations’ algorithms and codes are described, and the accuracy of the coordinate’s determination is studied.