The main object of the study in Geophysics is multi-dimensional non-linear systems, varying over a wide time range from a split second to geological epochs. The present-day mathematics does not allow a sufficiently strict description of such systems, so the problem of reliable long-term earthquake prediction is still unsolvable. The reliability of prediction increases with a decrease of the time range, reducing the size of the system and the growth of its structuring. The problem is in the absence of a formal definition of the nature of structuring and allowable reducing size without loss of information content. It is generally accepted that the geophysical environment is a union of self-similar partings, according to whose borders the environment is destroyed. The least action principle prescribes the destruction of a homogeneous medium by a spherical or a plane surface (or by a circle or a straight line in the 2D case) for a point or a at load, respectively.
The algorithm of lineaments construction implemented in the GIS-EEBD allows one to formally design and minimize a system of such straight lines and circular structures, integrating the whole set of structure-forming earthquakes. When minimizing a lineaments system, the overall field splits to disconnected subsets of geometrically related events. The authors believe that the analysis of multilevel processes inside and outside the structure of each such subset will allow one to approach to a reliable short-term earthquake prediction.