Finite-difference Numerical Modeling with Variable Mechanism for Viscoacoustic Wave Equation

Real earth media disperse and attenuate propagating mechanical waves. This anelastic behavior can be described well by a generalized standard linear solid model. The more relaxation mechanisms are used, the more accurate of viscoelasticity of the media are described. This paper proposes a new method named finite difference numerical modeling with variable mechanism for viscoacoustic wave equation, which is based on the generalized standard linear solid model. This algorithm uses variable number of relaxation mechanisms in different regions, so as to achieve the unity of the calculation efficiency and the calculation accuracy. The result of numerical simulation of seismic wavefield shows that this method can achieve high accuracy in different regions and get high accuracy wave field record. And the computational costs decreases nearly a quarter.