A 2D two-layer TI model

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A 2D two-layer TI model

We first test our approach on a two-layer TI model with the size of $N_{x}=401\times401$ .The first layer is a VTI medium with $v_{p0}=2500 m/s$ , $v_{s0}=1200 m/s$ , $\epsilon=0.25$ , and $\delta=-0.25$ , and the second layer is a TTI medium with $v_{p0}=3600 m/s$ , $v_{s0}=1800 m/s$ , $\epsilon=0.2$ , $\delta=0.1$ , and the tilt angle $\theta=30^{\circ}$ . A point-source is placed at the center of this model. To aim for the relative accuracy, rank

is required for both mode separation and vector decomposition. Thanks to small approximation errors in low-rank decompositions (see Figures 1 and Figure 3), we obtain good mode separation and vector decomposition for the synthesized elastic wavefields (see Figures 2 and 4). It took CPU time of 7.5 seconds to construct the separated forms (as equation 15 expressed) of the mode separation matrixes for qP- and qSV-waves. For one time step, it took CPU time of 0.12, 0.21, and 0.33 seconds to extrapolate, separate and decompose the elastic wavefields, repectively.

Next: A 3D two-layer TI Up: Examples Previous: Examples

2014-06-24