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Abstract

Summary

We extend the Robertson’s image method ( ) to a 3D finite-difference time-domain (FDTD) wave propagation in the presence of surface topography. Robertson method is accurate for a horizontal free surface and easily implemented on a standard staggered grid (SSG), but has some artefact for a topographic surface if it is staircase represented. We use a surface-conforming mapping to transfer the physical topographic domain (x,y,z) to a regular Cartesian domain (ξ,κ,η), which is equivalent to a curvilinear coordinate system. We take the velocity-stress first-order equation form for the (anisotropic) elastic wave equation, and discretize the transferred Cartesian domain on a fully staggered grid (FSG). Following the Robertsson procedure, we put all the particle velocity zero above the free surface, the velocity derivative with respect to η at the free surface is replaced with velocity derivatives with respect to ξ and κ, and anti-symmetrize the traction component normal to the curvilinear surface. We present the numerical results to show the efficiency of this extension.

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/content/papers/10.3997/2214-4609.201412694
2015-06-01
2024-04-28

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References

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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201412694
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Free-surface Boundary Condition in 3D Fully Staggered Grid Finite Difference Seismic Simulation with Topography
Conference Proceedings 2015, 1 (2015); https://doi.org/10.3997/2214-4609.201412694
/content/papers/10.3997/2214-4609.201412694
/content/papers/10.3997/2214-4609.201412694
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