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NONLINEAR INTERACTION GEOMECHANICAL MODEL OF CRUSTAL BLOCKS

Трофименко С.В., Гриб Н.Н., Колодезников И.И., Маршалов А.Я.
The problem of the interaction of crustal blocks to the rotational and vibrational motions. In the model of elastic interaction problem is reduced to the well-known sine-Gordon. The interaction of different types of waves in the form of soliton solutions of the sine-Gordon equation is a modified strain rate and thus increase the excess stresses the inhomogeneities. Modeling the interaction of blocks using a pendulum Newton allowed to determine the dependence of seismic process from contact state (fault). Bringing power to the equations of motion equations in generalized dimensionless coordinates allowed to compare the motion of the block with the known problem of nonlinear oscillations of a simple pendulum. Comparison of the equation of a simple pendulum and the resulting equation of motion of the block showed that the movement of the block is in the form of damped oscillations when the damping is proportional to the velocity. Redundant power with either lead to a relaxation of tension in the form of an earthquake or to the disintegration of the blocks in the form of aftershocks. In fact, the two processes occur independently as interblock suture zones (faults) are consolidated in different states.