The Propagation Of Rayleigh Wave In A Half-space Saturated

The analysis of the Rayleigh wave propagation and dynamic response in a poroelactic half-space saturated with inviscid fiuld is very important both in theory and engineering. Class elastic theory analyzed particularily the Rayleigh wave propagation characteristic and dynamic response in half-space in elastic media,which formed a complete theory for the Rayleigh wave propagation and the phase velocity format how to exist in elastic site.The thesis solve emphatically the phase velocity format how to exist and dynamic response when the Rayleigh wave propagation in a poroelactic half-space saturated.On the basis of the Biot dynamic theory and the Rayleigh wave in free site saturated at drained-boundary condtion, the thesis exentd drained-boundary condtion to undrained-boundary condtion.Under the effect of different porosity , poission's ratio and subsurface saturation,the response of the Rayleigh wave propagation in a poroelastic half-space saturated with inviscid fuild is significant.Under undrained-boundary condition existence of the Rayleigh wave in a porous half-space saturated with inviscid fluid is investigated in this thesis.The differential movement between solid and fluid,which depends on the material constants,affects the phase velocity of the Rayleigh wave.Both real and complex phase velocities are possible in such medium.The real phase is slower than the classic Rayleigh wave in elastic medium.For the complex(leaky) Rayleigh wave,it is found that the attenuation is influenced significantly by the stiffness(porosity) and consolidation state(poission's ratio) of soild frame,in addition to by the viscosity of fuild.According to analysis and study of the Rayleigh wave concrete format how to exist and velocity caused by both porosity and poission's ratio, furthermore, the thesis enduce dynamic response in half-space at drained-boundary and undrained-boundery conditions,which caused by both porosity and poission's ratio,including displacement,strain and poro pressure .As a whole,the solutions in the thesis can provide a essential evaluation of dynamic response in a poroelactic half-space saturated with fiuld.