An adaptive smoothing algorithm in the TSN modelling of rupture propagation with the linear slip-weakening friction law

Details An adaptive smoothing algorithm in the TSN modelling of rupture propagation with the linear slip-weakening friction law An adaptive smoothing algorithm in the TSN modelling of rupture propagation with the linear slip-weakening friction law

Jan 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010geoji.180..418g&link_type=abstract

Geophysical Journal International, Volume 180, Issue 25, pp. 418-432.

Statistics

Computation

1

Numerical Solutions, Earthquake Dynamics, Computational Seismology

Scientific paper

We present an adaptive smoothing algorithm for reducing spurious high-frequency oscillations of the slip-rate time histories in the finite-element (FE)-traction-at-split-node modelling of dynamic rupture propagation on planar faults with the linear slip-weakening friction law. The algorithm spatially smoothes trial traction on the fault plane. The smoothed value of the trial traction at a gridpoint and time level is calculated if the slip is larger than 0 simultaneously at the gridpoint and eight neighbouring gridpoints on the fault. The smoothed value is a weighted average of the Gaussian-filtered and unfiltered values. The weighting coefficients vary with slip.
Numerical tests for different rupture propagation conditions demonstrate that the adaptive smoothing algorithm effectively reduces spurious high-frequency oscillations of the slip-rate time histories without affecting rupture time. The algorithm does not need an artificial damping term in the equation of motion.
We implemented the smoothing algorithm in the FE part of the 3-D hybrid finite-difference (FD)-FE method. This makes it possible to efficiently simulate dynamic rupture propagation inside a FE subdomain surrounded by the FD subdomain covering major part of the whole computational domain.

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