Page 27 - 2024年第55卷第6期
P. 27

reservoirindicesasexternalcovariates[J].HydrologyandEarthSystem Sciences,2013,17(8):3189 - 3203.
                [15] 齐民友.概率论与数理统计[M].2版.北京:高等教育出版社,2011.
                [16] 水利部长江水利委员会.长江三峡水利枢纽初步设计报告(枢纽工程)[R].1992.
                [17] XIONGB,XIONGL,GUO S, etal.Nonstationaryfrequencyanalysisofcensoreddata: acasestudyofthe
                       floodsintheYangtzeRiverfrom1470to2017[J].WaterResourcesResearch,2020,56(8):e2020WR027112.
                [18] JIANGC,XIONGL,XUCY,etal.Arivernetwork - basedhierarchicalmodelforderivingfloodfrequencydistribu
                       tionsanditsapplicationtotheUpperYangtzebasin [J].WaterResourcesResearch,2021,57(8):e2020WR029374.
                [19] XIONGB,XIONG L, XIA J, etal.Assessingtheimpactsofreservoirsondownstream floodfrequencyby
                       couplingtheeffectofscheduling - relatedmultivariaterainfallwithanindicatorofreservoireffects [J].Hydrology
                       andEarthSystem Sciences ,2019,23(11):4453 - 4470.
                [20] BATALLARJ,G?MEZCM,KONDOLFGM.Reservoir - inducedhydrologicalchangesintheEbroRiverbasin
                       (NESpain)[J].JournalofHydrology,2004,290(1):117 - 136.
                [21] 李国芳,郝振纯.变化环境下流域水文气象极端事件演变规律及超标准洪水致灾机理[M].武汉:长江出
                       版社,2022.
                [22] STANFORDJL,VARDEMANSB.StatisticalMethodsforPhysicalScience[M].Cambridge:AcademicPress,1994.
                [23] 熊丰,郭生练,陈柯兵,等.金沙江下游梯级水库运行期设计洪水及汛控水 位 [J].水 科 学 进 展,2019,
                      30(3):401 - 410.
                [24] AKAIKEH.Anewlookatthestatisticalmodelidentification[J].IEEETransactionsonAutomaticControl,1974,
                      19(6):716 - 723.
                [25] 三峡工程泥沙专家组.三峡工程运行后泥沙冲淤与调控[M].北京:中国水利水电出版社,2020.
                [26] 徐长江,徐高洪,戴明龙,等.三峡 水 库 蓄 水 期 洞 庭 湖 区 水 文 情 势 变 化 研 究 [J].人 民 长 江,2019,50
                       (2):6 - 12.



                            Non - stationarydesignfloodestimationofThreeGorgesReservoirin
                                     operationperiodconsideringhistoricalinformation

                                   XIEYuzuo,GUOShenglian,XIONGLihua,WANGJun,
                                               ZHONGSirui,YANGYuanting
                       (StateKeyLaboratoryofWaterResourcesEngineeringandManagement,WuhanUniversity,Wuhan 430072,China)

                  Abstract:At - sitenaturalannualmaximumfloodseriesandthePearsonType Ⅲ(P - Ⅲ)distributioncurvefitting
                  methodareusedtoestimatefloodquantilesanddeterminethereservoircharacteristicwaterlevelsintheplanning
                  anddesignstageofwaterconservancyandhydropowerprojects.However ,thestationaryassumptionofflooddata
                  serieshasbeendestroyedbecauseoftheconstructionandoperationofupstreamreservoirs.Inthispaper,atime -
                  varyingmomentmodelfornon - stationaryfloodfrequencyanalysiswasbuilt ,andtheReservoirIndex(RI)ofkey
                  large - scalereservoirsintheupperreachesoftheYangtzeRiverwascalculated.Basedonthemonotonicallyin
                  creasingpropertyofthedistributionfunctionofthecontinuousfloodvariable,thetime - varyingP - Ⅲ curvefitting
                  methodwasproposedtofittheQ - Qplots.Thenon - stationarydesignfloodsduringoperationperiodoftheThree
                  GorgesReservoir (TGR)wereinferredandcomparedwiththoseofthemaximum likelihood(ML)method.The
                  resultsshowthat:(1)TheRIeffectivelyreflectsthenon - stationarityoffloodseries,servingascovariatesinthe
                  time - varyingP - Ⅲ model;(2)Thetime - varyingP - Ⅲ curvefittingmethodyieldsasmallerAICvaluethanthe
                  MLmethod,indicatingabetterfitnessforhistoricalfloodseries;(3)Comparedwiththeoriginalresults,Thenon -
                  stationarydesignfloodpeak ,alongwiththe3 - dayand7 - dayfloodvolumeofTGRaredecreasedbyabout18%,
                  whilethe15 - dayand30 - daydesignfloodvolumesaredecreasedbyabout14%.Theseresultsdemonstratethatthe
                  regulationofthecascadereservoirsintheupperYangtzeRiverdirectlyaffectsthefloodcontrolcapacityandcharac
                  teristicwaterlevelofTGRduringoperationperiod.
                  Keywords:designflood;non - stationary;non - continuousdataseries;time - varyingmoment;reservoirindex;
                  P - Ⅲ curvefittingmethod;maximumlikelihoodmethod;ThreeGorgesReservoir

                                                                                    (责任编辑:韩 昆)

                                                                                                —  6 5 3 —
   22   23   24   25   26   27   28   29   30   31   32