The Homogeneous Finite-Difference Formulation of the P-SV-Wave Equation of Motion

摘要: Two different approaches to finite-difference modeling of the elastodynamic equations have been used: heterogeneous and homogeneous. In approach, boundary conditions at interfaces are treated implicitly; in homogeneous, they explicitly discretized. We present a homogeneous scheme for 2-D P-SV-wave case. This represents generalization earlier such schemes, being able model media with arbitrary non-uniformities, provided only that all aligned numerical grid. perform detailed comparison generalized analogous scheme, show two schemes be identical spatially constynt Poisson's ratio. For where ratio is varying, differ by terms first-order spatial step size. However, results produced shows resulting differences negligible wide range values contrast.