On the inverse problem of the earthquake source and the three-phase relaxation mode of the source after the formation of a main rupture in it

Abstract: The fundamentals of the phenomenological theory of aftershocks are presented. The theory contains an original concept of the proper time of the earthquake source, the course of which, generally speaking, differs from the course of world time. Within the framework of the theory, a new method for processing and analyzing earthquakes has been developed. Analysis of the Tohoku earthquake demonstrated the effectiveness of the method. Three phases of relaxation of the source were discovered. In the initial phase, the deactivation coefficient, which characterizes the source as a dynamic system, is equal to zero. At the end of the initial phase, the deactivation coefficient suddenly acquires a positive value, which remains unchanged throughout the main relaxation phase. The transition from the main phase to the recovery phase is accompanied by a jump in the time derivative of the deactivation coefficient. The recovery phase differs from the initial and main phases by chaotic variations in the deactivation coefficient. Keywords: dynamic system, deactivation coefficient, proper time. synchronization, foreshocks, mainshock, aftershocks.