Seismic Wave Modeling of Numerical Dispersion using Cross-rhombus Stencil

Summary Finite difference is a popular method that used for seismic wave modelling, but it still suffer from numerical dispersion problem. Stencil is one of finite difference aspect that affect its accuracy, including the dispersion. Cross-rhombus stencil is a new stencil scheme which combine the standard stencil and a diamond-shaped stencil called rhombus stencil. It is proved that it can reduce numerical dispersion in finite difference method and increasing its efficiency. Since it is new scheme, cross-rhombus stencil has a lot of things to be studied. We described basic theory of this stencil scheme and its application to a simple seismic modeling simulation.