The dynamical structure of the Earth's magnetosphere during geomagnetic substorms is reconstructed, based on (a) a large multi-year database of satellite data taken during the last quarter century, (b) a pool of concurrent ground geomagnetic activity indices, covering full range of latitudes, (c) a new magnetic field model with enhanced spatial resolution, and (d) an advanced “nearest-neighbor” data mining approach. Based on a synthesis of the above methods and data, we explore the ability of our approach to extract maximum information from past observations and reproduce the principal phases of magnetospheric substorms in terms of time sequences of the magnetic field and electric current diagrams, from the beginning to active and recovery phase of the disturbance.