Prediction of Extreme Significant Wave Height from Daily Maxima

(整期优先)网络出版时间:2001-01-11
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Forpredictionoftheextremesignificantwaveheightintheoceanareaswherelongtermwavedataarenotavailable,theempiricalmethodofextrapolatingshorttermdata(1~3years)isusedindesignpractice.Inthispapertwomethodsareproposedtopredictextremesignificantwaveheightbasedonshort-termdailymaxima.AccordingtothedaarecordedbytheOceanographicStationofLiaodongBayattheBohaiSea,itissupposedthatdailymaximumwaveheightsarestatisticallyindependent.Thedatashowthatdailymaximumwaveheightsobeylog-normaldistribution,andthatthenumbersofdailymaximavaryfromyeartoyear,obeyingbinomialdistribution.Basedonthesestatisticalcharacteristics,thebinomial-log-normalcompoundextremumdistributionisderivedforpredictionofextremesignificantwaveheights(50~100years).Forexaminationofitsaccuracyandvalidity,thepredictionofextremewaveheightsisbasedon12years′dataatthisstation,andbasedoneach3years′datarespectively.Theresultsshowthatwithconsiderationofconfidenceintervals,thepredictedwaveheightsbasedon3years′dataareveryclosetothosebasedon12years′data.TheobserveddatainsomeoceanareasintheAtlanticOceanandtheNorthSeashowitisnotcorrecttoassumethatdailymaximumwaveheightsarestatisticallyindependent;theyaresubjecttoMarkovchaincondition,obeyinglog-normaldistribution.Inthispaperananalyticalmethodisderivedtopredictextremewaveheightsinthesecases.AcomparisonofthecomputationsshowsthatthedifferencebetweentheextremewaveheightsbasedontheassumptionthatdailymaximaarestatisticallyindependentandthattheyaresubjecttoMarkovChainconditionissmallerthan10%.