ARTc: Anisotropic reflectivity and transmissivity calculator

• We developed the algorithm to solve wave properties in arbitrary elastic anisotropic media.
• The algorithm passed many computationally complex tests.
• Reflectivity and transmissivity are calculated from arbitrary model and all directions.
• This is advance tool for quantitative study of wave propagation in elastic anisotropic medium.
• This algorithm is coded in MATLAB®MATLAB® and can be run in single or multi-processor units.

While seismic anisotropy is known to exist within the Earth's crust and even deeper, isotropic or even highly symmetric elastic anisotropic assumptions for seismic imaging is an over-simplification which may create artifacts in the image, target mis-positioning and hence flawed interpretation. In this paper, we have developed the ARTc algorithm to solve reflectivity, transmissivity as well as velocity and particle polarization in the most general case of elastic anisotropy. This algorithm is able to provide reflectivity solution from the boundary between two anisotropic slabs with arbitrary symmetry and orientation up to triclinic.To achieve this, the algorithm solves full elastic wave equation to find polarization, slowness and amplitude of all six wave-modes generated from the incident plane-wave and welded interface. In the first step to calculate the reflectivity, the algorithm solves properties of the incident wave such as particle polarization and slowness. After calculation of the direction of generated waves, the algorithm solves their respective slowness and particle polarization. With this information, the algorithm then solves a system of equations incorporating the imposed boundary conditions to arrive at the scattered wave amplitudes, and thus reflectivity and transmissivity.Reflectivity results as well as slowness and polarization are then tested in complex computational anisotropic models to ensure their accuracy and reliability. ARTc is coded in MATLAB®MATLAB® and bundled with an interactive GUI and bash script to run on single or multi-processor computers.