The Research Of Elastodynamices Of The Earthquake Wave In Crush Zone

The relationship between seismic fault is very Intricate. Earthquakes can lead to fault,the fault activity can also cause the earthquakes Tectonic stress bring on the shaping of the fault,the cracking of the fault take effect on the shaping of the seismic wave, and the physical state of the media on the fault determine the state of motion of the fault in future, The elastodynamics just devote itself to study the answerback of the dynamic loading in elastic substance.In the early research,the seismic wave theory is based on the idealized stratum: uniform or with the layer structure .But we will consider the actual earth medium: non-uniform anisotropy. To discuss the seismic wave incident to the fault plane waves concerned, the fault plane is a special reflecting interface with stress discontinuity and it is a elastic contact relationship between both sides of medium. From the angle of mathematics and mechanics, we can take it as an elastic dynamics problems.That is we research elasto's transient deformation and stress variation under the influence of the outside. On the fault, we can attribute it as boundary problem of the wave equation the role of boundary is providing some boundary value conditions, also is often said as discontinuous distribution problem. The method of modeling of complex medium is more and more mature as the With the development of computer technology which indirectly lead to the rapid development of elastic wave theory.To build more applicable model we need to understand the parameters of the medium, and we can get the fracture toward, medium density and other important parameters. By using numerical method to simulation the elastic wave spreading in complex medium, and researching it's propagation, we can get more about the parameters on the influence of wave propagation.In this text, we begin with element of volume of elastic substance, take the research into the elasticity and dynamics of it, and derive the differential theory of the elastic medium basing on the point of mechanics, then we develop the regular of the momentary deform state and the stress movement basing on the consertvation of mass, linear momentum, angular momentum and energy which contribute to the work about the next step: the theory of the elastodynamics about elastic wave in interior medium of the earth. And we achieve the forward modeling of the wave field by computer. At last we gain the characteristic of the elastodynamics of seismic wave on fault zone.The paper sum up the present situation of the research of the seismic wave on fault zone. After the researching of the equation of the dynamics of the elastic wave, we analyze the wave field which own the homogeneity or nonhomogeneity isotropic medium. And we master the method of the forward modeling and build up the forward model ,basing of which we probe into the accuracy element which can affect the answer of the equation of the dynamics of the elastic wave by Tesseral 2-D.And we develop some models which can contribute on the researching of the actual layer containing the fracture zone, and give us the result of the verification of the equation of the dynamics of the elastic wave in the fracture zone.The paper is base on the finite difference numerical solution of the equation of the dynamics of the elastic, and find the solution of the equation of the dynamics of the elastic on the fault by the basic model. Bying comparing the different media, we find the defect of the FDM and propose the modify, and we expect that we can get more accuracy answer.