Modelling of Fracture Processes Occurring in the Focal Zone of a Tectonic Earthquake
The fracture processes in the focal zone of a tectonic earthquake are modelled by means of system of complex curvilinear ruptures, moving discontinuously in time and space. The method of functionally invariant solutions of wave equations and superposition principle are used in this paper to obtain the exact analytical solutions for the system of complex ruptures propagating with piecewise constant velocity along curved and branching paths. The limiting transition which enables to find from the solution obtained the solution for fracture propagation with variable velocities along smooth curved paths and detailed analysis of stress intensity factors are given. The paper presents the analysis of theoretical seismograms calculated for curvilinearly propagating and branching ruptures which consist of alternating elements with normal and tangent components of displacement vector at the rupture.
KeywordsStress Intensity Factor Fundamental Solution Displacement Vector Fracture Process Invariant Solution
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