Abstract. Coastal facilities such as nuclear power plants (NPPs) have to be
designed to withstand extreme weather conditions and must, in particular, be
protected against coastal floods because it is the most important source of
coastal lowland inundations. Indeed, considering the combination of tide
and extreme storm surges (SSs) is a key issue in the evaluation of the risk
associated with coastal flooding hazard. Most existing studies are generally
based on the assumption that high tides and extreme SSs are
independent. While there are several approaches to analyze and characterize
coastal flooding hazard with either extreme SSs or sea levels, only few
studies propose and compare several approaches combining the tide density
with the SS variable. Thus this study aims to develop a method for modeling
dependence and coincidence of SSs and high tide. In this work, we have used
existing methods for tide and SS combination and tried to improve the
results by proposing a new alternative approach while showing the
limitations and advantages of each method. Indeed, in order to estimate
extreme sea levels, the classic joint probability method (JPM) is used by
making use of a convolution between tide and the skew storm surge (SSS).
Another statistical indirect analysis using the maximum instantaneous storm
surge (MSS) is proposed in this paper as an alternative to the first method
with the SSS variable. A direct frequency analysis using the extreme total
sea level is also used as a reference method. The question we are trying to
answer in this paper is then the coincidence and dependency essential for a
combined tide and SS hazard analysis. The results brought to light a bias in
the MSS-based procedure compared to the direct statistics on sea levels, and this
bias is more important for high return periods. It was also concluded that
an appropriate coincidence probability concept, considering the dependence
structure between SSs, is needed for a better assessment of the risk using
the MSS. The city of Le Havre in France was used as a case study. Overall,
the example has shown that the return level (RL) estimates using the MSS
variable are quite different from those obtained with the method using
the SSSs, with acceptable uncertainty. Furthermore, the shape parameter is
negative from all the methods with a much heavier tail when the SSS and the
extreme sea levels (ESLs) are used as variables of interest.