Implementation of perfectly matched layers in an arbitrary geometrical boundary for elastic wave modelling

Details Implementation of perfectly matched layers in an arbitrary geometrical boundary for elastic wave modelling Implementation of perfectly matched layers in an arbitrary geometrical boundary for elastic wave modelling

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008geoji.174.1029g&link_type=abstract

Geophysical Journal International, Volume 174, Issue 3, pp. 1029-1036.

Statistics

Computation

3

Numerical Solutions, Computational Seismology, Wave Propagation

Scientific paper

The perfectly matched layer (PML) absorbing boundary condition is incorporated into an irregular-grid elastic-wave modelling scheme, thus resulting in an irregular-grid PML method. We develop the irregular-grid PML method using the local coordinate system based PML splitting equations and integral formulation of the PML equations. The irregular-grid PML method is implemented under a discretization of triangular grid cells, which has the ability to absorb incident waves in arbitrary directions. This allows the PML absorbing layer to be imposed along arbitrary geometrical boundaries. As a result, the computational domain can be constructed with smaller nodes, for instance, to represent the 2-D half-space by a semi-circle rather than a rectangle. By using a smooth artificial boundary, the irregular-grid PML method can also avoid the special treatments to the corners, which lead to complex computer implementations in the conventional PML method. We implement the irregular-grid PML method in both 2-D elastic isotropic and anisotropic media. The numerical simulations of a VTI lamb's problem, wave propagation in an isotropic elastic medium with curved surface and in a TTI medium demonstrate the good behaviour of the irregular-grid PML method.

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