Boundary Conforming Chimera Meshes to Account for Surface Topography and Curved Interfaces in Geological Media

Nowadays, solving seismic exploration problems requires taking into account the scattering of seismic waves at boundaries and contact boundaries of complex shape. For the subsequent solution of inverse problems, it is important to save computing resources as much as possible. A way to do this while saving the accuracy of calculations is to use Chimera or overlapping computational meshes. In this way, the calculation is carried out in a background Cartesian grid, and curvilinear structured boundary conforming Chimera meshes are constructed along the boundaries and contact boundaries. Interpolation is carried out between the Cartesian and Chimera curvilinear grids. The issue arises of the optimal way to generate this type of computational grids when solving this class of problems. In this work, we consider 5 types of generation the Chimera computational grids for various boundary geometries and present the results of a comparative analysis in dependence of various parameters, such as the maximal applicable Courant number, calculation speed, numerical error, numerical order of convergence, etc.