EFFECT OF BOUNDARY CONDITIONS ON WAVE MODELING THROUGH FINITE DIFFERENCE METHOD

Abstract

The underground effect of a structure with known geometric, velocity and density parameters can be defined as modelling. The purpose of the modelling is to determine the complexity in-ground structure. For this, artificial seismogram models have been constructed. Most commonly, methods based on the numerical solution of wave equations have been used. In these methods, the source can be placed at any point of the studied geometry and instantaneous energy emanations (snap-shots) can be taken at any desired time. Hence it can be shown how the wave field moves in the ground. In this study, two- and three-dimensional scalar wave equations are modelled with the finite difference method (FDM) in the light of previously known theoretical knowledge, and it is shown how the wave field behaves in the medium by using different mathematically investigated boundary conditions. In the numerical solutions obtained by the program codes written in FORTRAN, Dirichlet and absorbing boundary conditions were used separately, and the effect of boundary conditions was revealed as snap-shot and artificial seismograms via GRAPHER and MATLAB programs.