The main object of the study in Geophysics is multi-dimensional nonlinear 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 flat 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