Abstract

The total energy release and the length of interfacial crack growth associated with an earthquake are analyzed based on a horizontal one-dimensional semi-infinite elastic model of fault of uniform rectangular cross section between two rigid rocks. Initial interfacial cracks of finite length are assumed to exist on the top and bottom surfaces of the fault. A compressive force is applied at the end of the fault and uniform frictional forces are exerted on the crack surfaces. When the compressive force reaches a critical value, fault slip against the surrounding rock occurs and the frictional force changes from a static value to a dynamic value within a short time interval. The change in frictional force generates longitudinal wave propagation in the fault. As a result, a large amount of energy release takes place. The total amount of energy release and the length of crack growth can be analyzed based on the balance of energy.

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