We apply the CIP(Cubic Interpolated Profile)scheme to the numerical sim-ulation of the acoustic wave propagation based on characteristic equations.The CIP scheme is based on a concept that both the wavefield and its s...We apply the CIP(Cubic Interpolated Profile)scheme to the numerical sim-ulation of the acoustic wave propagation based on characteristic equations.The CIP scheme is based on a concept that both the wavefield and its spatial deriv ative propa-gate along the same characteristic curves derived from a hyperbolic differential equa-tion.We describe the derivation of the characteristic equations for the acoustic waves from the basic equations by means of the directional splitting and the diagonaliza-tion of the coffcient matrix,and establish geophysical boundary conditions.Since the CIP scheme calculates both the wavefield and its spatial derivatives,it is easy to realize the boundary conditions theretically.We also show some numerical simula-tion examples and the CIP can simulate acoustic w ave propagation with high stability and less numerical dispersion.The method of characteristics with the CIP scheme is a very powerful technique to deal w ith the wave propagation in complex geophysical problems.展开更多
文摘We apply the CIP(Cubic Interpolated Profile)scheme to the numerical sim-ulation of the acoustic wave propagation based on characteristic equations.The CIP scheme is based on a concept that both the wavefield and its spatial deriv ative propa-gate along the same characteristic curves derived from a hyperbolic differential equa-tion.We describe the derivation of the characteristic equations for the acoustic waves from the basic equations by means of the directional splitting and the diagonaliza-tion of the coffcient matrix,and establish geophysical boundary conditions.Since the CIP scheme calculates both the wavefield and its spatial derivatives,it is easy to realize the boundary conditions theretically.We also show some numerical simula-tion examples and the CIP can simulate acoustic w ave propagation with high stability and less numerical dispersion.The method of characteristics with the CIP scheme is a very powerful technique to deal w ith the wave propagation in complex geophysical problems.
