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On two approaches to asymptotic analysis of subsonic rupture propagation

Linkov A. M.

Journal of Mathematics and Applications

2006

Vol. 28

93-100

Two approaches to the asymptotic analysis of a surface wave arising under shear rupture propagation are compared. They differ in Green's functions used to derive asymptotic integral equations. One of them provides a finite stress at the rupture front while the displacement discontinuity at infinity behind the front tends to infinity; the other, quite oppositely, leads to an infinite stress at the front while the displacement discontinuity at infinity is finite. Detailed analysis of the equations of the second approach shows its advantages: the possibility of using important results of fracture mechanics and simplification of the eigenvalue problem.

An approach to investigate earthquake rupture processes

Abdel-Fattah A.

Acta Geophysica Polonica

2003

Vol. 51, nr 3

257-269

A linear least-squares inversion technique was developed to estimate earthquake rupture processes by considering 1D line source model propagating unilaterally. For the propesed model, the azimuthal variations of Source Time Functions (STF's) depend on the rupture direction, the average rupture velocity and rupture dimension. These parameters represent the unknown parameters of the proposed model that are estimated by performing a simulationeous linear least-squares inversion approach. The azimuth of rupture propagation direction and the rupture velocity are estimation from the distribution of the STF pulse widths or from their maximum amplitudes as a function of the station azimuths. In order to confirm the applicability of this approach, the model is tested with a series of synthetic data. Beside this test, the approach is also applied to several earthquakes ruptured unilaterally. The results of inversion strongly suggest that small earthquakes occur with varying rupture velocity similar to large earthquakes.