Finite di erence time domain model for elastic waves in the ground
نویسندگان
چکیده
A two dimensional nite di erence model for elastic waves in the ground has been developed The model uses the equation of motion and the stress strain relation from which a rst order stress velocity formulation is obtained The resulting system of equations is discretized using centered nite di erences A perfectly matched layer surrounds the discretized solution space and absorbs the outward traveling waves The numerical model is validated by comparison to an analytical solution The numerical model is then used to study the interaction of elastic waves with buried land mines Results are presented for a buried antipersonnel mine It can be seen that an air chamber within the mine is excited to resonant oscillations which are clearly visible on the surface above the mine The simulation results agree fairly well with experimental observations Di erences are mainly due to the numerical model being two dimensional whereas the experimental model is three dimensional Currently the nite di erence model is being extended to three dimensions
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