Abstract
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.
Highlights
The Andaman tsunami on 26 December 2004 was considered to be one of the most devastating natural disasters in the Asian region
Dimensional analysis is used to check if derivative equations are acceptable and to create plausible assumptions about complicated physical situations that may be validated by testing [17]
Following the dimensional analysis described in the previous paragraphs, both of these relationships were applied in the software (IBM SPSS Statistics, v26) for the purpose of creating an empirical formula by using regression analysis for each of the wave Run-up for both sandy and gravel beaches
Summary
The Andaman tsunami on 26 December 2004 was considered to be one of the most devastating natural disasters in the Asian region. The dimensional analysis was used to estimate the tsunami wave run-up on armoured and sandy beaches. Ghasemi [8] used dimensional analysis and obtained an equation to calculate tsunami wave energy and compared the results to the 26 December 2004 tsunami in Sumatra. He calculates the wave height near the coastlines. A breaking criterion was developed for deciding whether a solitary wave will break as it climbs up a sloping beach, and a related criterion was introduced for determining whether the wave will break during rundown These findings were used to justify some of the observational runup interactions that still exist. The obtained empirical equations were compared to the experimental measurements
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