P. Contreras, G. Larrazabal and C. Florio

Keywords: Seismic anisotropy, VTI medium, computational modeling, perfectly matched layer

Abstract: Implementing computational boundary conditions such as perfectly matched layers (PML) does have advantages for forwarding modeling of the Earth’s crust. The mathematical modeling of many physical problems encountered in industrial applications often leads to a set of linear partial differential equations, PDEs. It considerably improves the visualization of seismic events relevant to oil and gas exploration. In this work, we present an efficient numerical scheme for hyperbolic PDEs, where a computational technique takes care of reflections at the borders domain using a linear twodimensional (2-D) elastic-wave system of decoupled equations with PML-type boundary conditions. The key idea is to introduce a layer that absorbs the reflections from the borders improving images’ visualization. Anisotropy has been reported to occur in the Earth’s three main layers: the crust, mantle, and core. However, this implementation refers to the case of a vertical transversal anisotropic medium (VTI) in the crust-layer. Images and screen-shots of the longitudinal (P) impulse-response and the transverse (SV) impulse-response are obtained at deferent times. This computational method enables us to achieve images for the P and SV response-impulses, and to obtain high quality synthetic seismograms for the PP and PS reflection events in a 2-D VTI two-layer model.

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