Abstract
This paper describes the basic characteristics of flow invasion generated by tsunamis over a land. Assuming the self-similarity distributions of flow depth and velocity in the shallow flow equations, the basic characteristics of invasion processes such as the front position, the inflow discharge etc., are obtained in connection with the temporal change of depth of inlet of the invasion. The authors derive the relations between the front position, the inflow discharge and the rising rate of water elevation at the inlet based on the self-similarity analysis. They also derive similarity functions of water depth and velocity distributions. In order to verify the theoretical findings, the numerical simulations and experiments were carried out under simple boundary and geometry conditions. It is pointed out that the exponents of time variable for the front position obtained from the simulated results and experimental results are in good agreement with the theoretical findings.
