New curvilinear scheme for elastic wave propagation in presence of curved topography

Issam Tarrass (1) , Luc Giraud (2) , Pierre Thore (1)

1 Total E&P
2 HiePACS - High-End Parallel Algorithms for Challenging Numerical Simulations

In this paper, we study a new curvilinear scheme for wave propagation modelling in presence of topography. The discrete scheme takes advantage of recent developments in areoacoustics. Our new scheme relies on the conventional grid coupled with optimized filters to remove numerical noise in case of strong material heterogeneity. We used non-centered stencils for free surface implementation and optimized explicit Runge-Kutta scheme for the time differencing. We perform a complete theoretical stability and dispersion analysis of the discrete scheme. Finally, we illustrate the numerical accuracy of the new scheme by intensive experiments.

Issam Tarrass, Luc Giraud, Pierre Thore. New curvilinear scheme for elastic wave propagation in presence of curved topography. Geophysical Prospecting, 2011, 59 (5), pp.889--906. ⟨10.1111/j.1365-2478.2011.00972.x⟩. ⟨hal-00647160⟩