Study of the tsunami wave run-up using dimensional analysis

Tsunamis are among the most severe natural hazards known to man, and they have claimed thousands of lives and destroyed vast amounts of property throughout history. Several previous researches studied the tsunami wave run-up and its inundation to the coasts and their effect on the coastal communities. In the current study, the Dimensional analysis (DA) method was used for formulating rational hypotheses for the complicated physical conditions connected to the wave run-up study. Pairs of empirical formulas were derived: the first one for the non-dimensional wave run-up over a sandy beach, and the other for the wave run-up over the armoured beach. Based on the obtained experimental results, which were adopted as an input data for the program of IBM SPSS Statistics, v26, both formulas showed a good agreement as the coefficients of correlation were 0.93 and 0.98, respectively.