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$Modeling 3-D anisotropic fractal mediaa$

16 Sava <strong>Madagascar</strong> Documentation EXAMPLE I illustrate the method using the Sigsbee 2A synthetic model. This model is based on the Sigsbee structure in the Gulf of Mexico and the velocity model is illustrated in Figure 1. The model is characterized by a massive salt body close to the water bottom and surrounded by sediments. The salt velocity is 4.5 km/s and the surrounding sediment velocity ranges from approximately 1.5 to 3.25 km/s. Figure 1: Stratigraphic Sigsbee 2A velocity model school/sigsbee vstr In this experiment, I consider sources distributed uniformly in the subsalt region of the model. The data are acquired in a borehole array, located at x = 8.5 km and a horizontal array located at z = 1.5 km. In order to avoid multiple scattering in the subsurface, I simulate waves in a smooth version of the Sigsbee model, illustrated in Figure 2, and constant density. Figure 2: Smooth Sigsbee 2A velocity model school/sigsbee vsmo Using the madagascar program sfawefd2d, we can simulate wavefields from the distributed sources. Figures 3(a)-3(h) show wavefield snapshots in order of increasing times. We can observe waves propagating from all subsalt sources, interacting with the variable velocity medium and arriving at the vertical and horizontal arrays. Figures 4(a) and 4(b) show the data observed at the horizontal array in variable density and wiggle plotting formats, respectively. Similarly, Figures 5(a) and 5(b) show the data observed in the vertical array using the same plotting formats. The data are just subsets of the same wavefields at the respective receiver positions and capture the complications observed in the wavefield, i.e. triplications due to lateral velocity variation.
<strong>Madagascar</strong> Documentation WSI tutorial 17 Figure 3: Wavefield snapshots at increasing times. school/sigsbee wfld-01,wfld-03,wfld-05,wfld-07,wfld-09,wfld-11,wfld-13,wfld-15
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