Transient Boundary Integral Equation of Dynamic Unsaturated Poroelastic Media

The dynamics of saturated poroelastic media has received attention of several investigators from the mid twentieth century but problems concerning unsaturated soils necessitate the theoretical developments for mechanics of unsaturated media. By the development of high speed digital computers numerical methods are used to solve complex engineering problems. One of the most common problems in geotechnical earthquake engineering is the seismic wave propagation from the seismic source to the structure's foundation, throughout the stratified sedimentations. The well known boundary element method (BEM) is an effective boundary type numerical method for dynamic analysis of linear elastic bounded and unbounded media. The BEM consists of two key ingredients: the governing boundary integral equation and the corresponding fundamental solutions. This paper presents the full dynamic boundary integral equation of unsaturated isotropic poro-elastic media for the first time. The introduced boundary integral equation can be solved by BEM once the corresponding fundamental solutions are determined.