The Research Of3-D Finite-difference Numerical Simulation Elastic Of Wave Equation In Isotropic Medium

The numerical simulation of seismic wave field is one of the important researchin the science of seismic exploration, and it is an effective adjunct to further analysisand study of seismic data acquisition, processing and interpretation. The waveequation completely keep the seismic wave propagation kinematics and dynamicscharacteristics, so the wave equation simulation of seismic wave numerical plays animportant role in the simulation. The finite-difference method is a fast and effectiveway to solve the wave equation. The complexity of the geological model does notaffect the operation speed.In this paper, based on the elastic wave theory, we drive finite-difference formatof the second-order elastic wave equation, and one-order stress-velocity waveequation, and given their stability condition. Study several types of seismic source.Finite difference numerical simulation is limited in a region, when the wavepropagation to the border, the border will result in reflection, which is not expect toarise. Through a large number of research literature research, the paper summarizedand verified several commonly used boundary conditions. The paper achieved thenumerical simulation of finite-difference algorithm based on computer programming.Through several types of model, the paper get some result base on the programming.From the comparative analysis of the simulation results we can see thatfinite-difference algorithm has certain advantages in both the simulation accuracy andefficiency of simulation.Through integrated research, thesis that the wave equation finite-differencealgorithm is simple, computationally efficient, simulation of the characteristics ofhigh accuracy, it has a great meaning of theoretical research and broad applicationprospects.