Influenceoftyphoonsandearthquakesonrainfall
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Influenceoftyphoonsandearthquakesonrainfall-inducedlandslides andsuspendedsedimentsdischargeGuan-WeiLin a,HongeyChen a,⁎,Yi-HuiChen a,Ming-JameHorng baDepartmentofGeosciences,NationalTaiwanUniversity,No.1,Section4,RooseveltRoad,Taip ei,Taiwan,ROCbWaterResourceAgency,MinistryofEconomicAffairs,Taiwan,ROCReceived1May2007;receivedinrevisedform21October2007;accepted3December2007 Availableonline27December2007Abstract Theaimofthispaperistopresentdataontheoccurrenceoflandslidestriggeredbytyphoonandear thquakeevents,andtodiscussthebasicearthquaketriggeringmechanismsinvolved.Foureventsoftyphoonandearthquaketriggeredlandslidesint heChenyoulanRivercatchmentofcentralTaiwanduring1996to2004werestudiedinordertoidentifytheircontrollingfactors.Thelandslidesareas weremeasuredbycomparingaerialphotostakenoverthepast18years,andsedimentdischargewascountedathydrometricstations.Investigationres ultsdemonstratethathillslopegeomaterialsthat hadbeen disturbedbystrongseismicshakinginducedexpansionoflandslideareasduringsubsequentev ents.AnalysisofNormalizedDifferenceVegetationIndex(NDVI)alsoregisteredthechangesofuncoveredconditionsonthehillslopecausedbylandslidin g.Whenflowdischargeislowerthan100m3s−1,post-seismicsedimentconcentrationisroughlyfourtimeshigherthanpre-seismicconcentrationwitht hesameflowdischarge.Thisfateindicatesthatthe amountofsedimentdischargeatnormalflowdischargeisaffectedbysuppliedsedimentvolume, whichtendstoincreasewithseismicactivity.©2007ElsevierB.V.Allrightsreserved.Keywords: Landslide;Sedimentdischarge;Rainstorm;Earthquake1.IntroductionPreviousstudies(Gelietal.,1988;Sitaretal.,1992;ChenandSu,2001;SklarandDietrich,2001;KhazaiandSitar,2004)identifymaterialstrength,discontinuousplanesetting,earth-quake,precipitation,landformandhydrologyastheprincipal naturalcontrolsthataffectlandslidesanddebrisflows. Dadsonetal.(2003) reassesssedimentdischargeinestimatingtheerosionrateinTaiwan.Theyconsiderthatthedecadal-scale erosionratesarecorrelatedwithhistoricalearthquakesandstorm-drivenrunoff,andthatlongscaleerosionratesarecontrolledbystreampower.TheaverageerosionrateintheChoshuiRiverbasin,centralTaiwan,increasedfourfoldfollowingthe1999Chi-Chiearthquake(Mw=7.6).Onaverage,fourtyphoonssweepandinundateTaiwanperyear,andthesubtropicalclimatethereentailsameanprecipita-tionof2500mmyr−1(Shieh,2000).Thesummerprecipitation,occurringfromMaytoOctober,causeslarge-scalewastingfromhillslopeareas.Inmostyears,thisprecipitationinducesseveral floodsandevenvastoverlandflowdrivesofcolluvialsedimentsintotheriverchannels.Duringtheperiodof1996–2004,thefollowingsequenceof eventsoccurredinthecentralTaiwan(Fig.1):(1)typhoonHerb(August1996);(2)Chi-Chiearthquake(September1999);(3)typhoonToraji(July2001);and(4)typhoonMindulle(June2004).IntheChenyoulanRivercatchment,landslidesincreasedby1.5timesand44newdebrisflowsemergedduringtyphoonHerbinJuly1996.Afterthe1999Chi-Chiearthquake,anareaofapproximately12.9×106m2wasaffectedbylandslidingintheChenyoulanRiverbasin.TheChenyoulanRivercatchment isatributaryoftheChoshuiRiverincentralTaiwan,locatedabout12kmeastoftheepicentralareaofthe1999Chi-Chiearthquake.However,bythe2001typhoonTorajiandthe2004typhoonMindulle,thelandslideareaexpandedto24.4×106m2and31.6×106m2,respectively.Thisfactimpliesthatthemain causeoftheexpandinglandslideareawasthedisturbanceof geomaterialbystrongearthquakes.BystudyingthelandslidingAvailable online at EngineeringGeology97(2008)32–41/locate/enggeo⁎ Correspondingauthor.Tel.:+886233662946;fax:+886223636095.E-mailaddress: hchen@.tw (H.Chen).0013-7952/$-seefrontmatter©2007ElsevierB.V.Allrightsreserved.doi:10.1016/j.enggeo.2007.12.001andthechangesofthesedimentdischarge,weattempttoar riveatanunderstandingoftheseismiceffectofthesediment transportationandthestrengthofthehillslopematerialswiththe impactfactoroflandsliding.2.GeologicalsettingofstudyareaTheChenyoulanRiverinNantouCountyis42kmintotal lengthandtheareaoftheChenyoulanRiverbasinis367km2;itsmarginisamountainrangewatershedwithlongitudinalvalleytopography.TheChenyoulanRiveroriginatesinabrookonYushanMountain.TheChenyoulanRiverbasinis,forthemostpart,over2000minelevation,graduallydecreasingfromsouthtonorth.Therivernetworkinthesouthwesternpartofthe ChenyoulanRiverbasinincludesthreetributarieswhich convergenorthwardlyintotheHosheRiveratShenmu,and severalbrooksthatfeedintothemainstreamoftheHosheRiver untilthislaterconvergesintothemainstreamoftheChenyoulanRiverintheHoshearea(Fig.2).Thetributaries convergeatthecentervalleyofthebasin,andthenaredelivered northwardintotheChoshuiRiver. TheChenyoulanRiverbasinliesatthejunctionwherethe metamorphicShuehshanRangekeepsabreastthesedimentaryWesternFoothills(Fig.2).TheChenyoulanRiver,closelyruns alongtheChenyoulanfaultline,themajorboundaryseparating thesetwogeologicalregions.Theterraintotheeastofthe ChenyoulanfaultisclassifiedasPaleogenemetamorphicrockoftheShuehshanRange,composedofslateandmeta-sandstone.ThemajorformationsofeastChenyoulanfaultareLushanFormation,ChiayangFormation,TachienSandstone ShihpachuangchiFormation,ShuichangliuFormation,andPailengFormation.LushanFormation,locatedintheeasternedgeofthe ChenyoulanRiverbasinandcomposedmainlyofgrayslateandalittlefinesandstone,hasstrikesofN5°E–N20°Eandsouthwarddipsof40°–66°.ChiayangFormation,composedofgrayslate,conformstotheDaganSandstone.TachienSandstone,Fig.1.TracksoftyphoonandthelocationofChi-Chiearthquakeepicenter.33G.-W.Linetal./EngineeringGeology97(2008)32–41composedofmeta-sandstoneandslate,h asstrikesofN30°W–N20°Eandsouthwarddipsof30°–60°.ShihpachuangchiFormation,composedofblackandgrayslate,hasstrikesofN29°E–N57°Wandsouthwarddipsof51°.Shuichangliu FormationandPailengFormation,composedofgrayhardslateandmeta-sandstone,havestrikesofN49°E–N9°Eandsouthwarddipsof50°–65°.Therearemorethantwosetsofdiscontinuityin therockmassofShuichangliuFormationandPailengFormation.Thediscontinuitydensityaverages16.9m−3forthesesixformations,indicatingthattherockmassonthehillslopeis fracturingconsiderablyintheChenyoulanRivercatchment. TheterraintothewestoftheChenyoulanfaultisclassifiedas NeogenesedimentaryrockoftheWesternFoothills,composed oftheshaleandsandstone.Themajorformationswestof ChenyoulanfaultareNanchuangFormation,HosheFormationandAlluvium.Shaleandcementedsandstonearethedominantlithologiesinthearea.NanchuangFormation,locatedinthe westernmostpartoftheChenyoulanRiverbasin,hasstrikesofN17°E–N39°Eandnorthwarddipsof48°–71°.Themajor lithologyofNanchuangFormationiscomposedofthicksandstoneandshale.ThediscontinuitydensityofNanchuangFormationaverages10.4m− 3.HosheFormation,which outcropsintheupperpartoftheChenyoulanRivercatchment,hasstrikesofN50°W–N21°Eandnorthwarddipsof30°–80°. ThelithologyinHosheFormationisthesameasthe compositioninNanchuangFormation.Thediscontinuity densityofHosheFormationaverages8.2m−3.AlluviumisdistributedalongthemainstreamoftheChenyoulanRiverand theconfluencesoftributaries.ndslideanalysisLandslidesweremappedfrom10and20mresolutionSPOT satelliteimageswithdetailedfieldandair-photocheckingintheChenyoulanRiverbasin(Linetal.,2004).The20mmulti-spectraland10mpanchromaticspatialresolutionofSPOTcan onlybeusedtomaplandslidesgreaterthan1600m2withaccuracy.Omissionoflandslidessmallerthan1600m2canresultinunderestimationoftheareaandvolumeofmaterialdisturbed.Fig.2.GeologicalmapoftheChenyoulanRiverbasinandlocationofhydrometricstation.34G.-W.Linetal./EngineeringGeology97(2008)32–41Weusedthelandslideratio,thenewgenera tionratioandthereactivatedratiooflandslidetodiscusslandslidecondition.The landslideratioisdefinedastheratioofthetotallandslideareatothecatchmentarea.Wealsodefinedthenewgenerationratioas theratioofnewlandslideareatothetotallandslidearea.Additionally,wedefinedthereactivatedratioastheratioofreactivatedlandslideareatotheoldlandslidearea.Theformula canbewrittenasfollows:Newgenerationratio ¼ Newlandslideareaaftertheevent Totallandslideareaafterevent100kð1ÞReactivatedratio ¼ Reactivatedlandslideareaaftertheevent Landslideareabeforetheevent100kð2Þ“Newlandslideareaaftertheevent” meansthatthelandslide appearedonlyafterthatevent; “reactivatedlandslideareaafter theevent” meansthatthelandslideareawasreactivatedafter thatoneevent; “oldlandslideareabeforeevent” meansthat landslidealreadyexistedbeforethatevent. Calculationandstatisticsoflandslidenumber,area,landslideratio,reactivatedratioandnewgenerationratioindicatethat landslidescontinuetoexpandintheChenyoulanRiverbasin. Thelandslideareahasincreased2.8timessinceSeptember1999.Furthermore,aftertyphoonsTorajiandMindulle,the landslideareaincreasedby1.9timesand1.3times,respec-tively.AftertyphoonHerb,thereactivatedratiooflandslidereached93.5%and,followingtheChi-Chiearthquake,theratio ofnewgenerationlandslidedecreasedprogressively.The reactivatedratiodecreasedto40.0%aftertyphoonMindulle(Fig.3).Moreover,theratioofnewgenerationlandslidesgrewfrom41.0%to70.0%aftertheearthquake(Fig.4).Following typhoonsTorajiandMindulle,theratiosofnewgenerationlandslidewere66.0%and68.2%(Table1),respectively. Thedecreaseinreactivatedratiomayindicatethatthe activityofoldlandslidesbecamemoderatedorhadstopped.The landslideratiointheChenyoulanRiverbasinisontherise,and thenewgenerationratiomaintainedathighratioabout70%. ThelandslideareasmappedfollowingtheChi-Chiearthquake andtyphoonsHerb,TorajiandMindulledisplayamagnitude–probabilitydistributionthatcanbedescribedbyapowerlawover theapproximatelythreeordersofareamagnitudeforwhich reliablemeasurementsareavailable(Fig.5).ThepowerlawFig.3.RatiosofreactivatedlandslideintheChenyoulanRiverbasin.Dashed lineisregressionofallobserveddata.Fig.4.RatiosofnewgenerationlandslideintheChenyoulanRiverbasin. Dashedlineisregressionofallobserveddata.Table1Landslidenumber,landslidearea,landslideratio,reactivatedratio,andnew generationratiooffourtyphoon-inducedandearthquake-inducedeventsEventsPre-HerbtyphoonHerbtyphoonChi-ChiearthquakeTorajityphoonMindulletyphoonLandslidenumber7161168232137352120Landslidearea(106m2)2.994.5912.8524.4331.58Landslideratio(%)0.821.263.536.718.67Reactivatedratio(%) – 93.4983.1664.6140.55Newgenerationratio(%)–39.1770.3166.0368.62Exponentoflandslideareaprobability, γ1.881.991.831.861.88Fig.5.ProbabilitydistributionoflandslideareasduringtyphoonHerb,Chi-Chiearthquake,typhoonToraji,andtyphoonMindulle. γ istheregressionexponents ofpowerlaw.35G.-W.Linetal./EngineeringGeology97(2008)32–41distributionisvalidoverawiderangeofland slideareas(Guzzettietal.,2002),andisusedtodiscussthedominantareaoflandslide. Thisprobabilitydistributionmaybewritteninacumulativeform(Hoviusetal.,1997),PAzAc ðÞ¼ jA ð3Þwhere P(A≥Ac)istheprobabilityofthenumberoflandslidesof magnitudegreaterthanorequalto Ac, κ isthefrequen cyoflandslideperunitarea,and γ isadimensionlessscalingexponent.Wedefine Ac =2000m2,andobtainthebestfittingpowerlawmodelbylinearregression.ForlandslidesfromtheChi-Chiearthquakeandthetyphoons,thescalingexponents, γ,wereestimatedusingthemaximumlikelihoodmethod(Rileyetal.,2002)ashigherthan1.5overarangebetween2000m2and1×106m2(Table1). Theseexponentsindicatethatsmallandfrequentlandslidesare reallyandvolumetricallyimportantintheChenyoulanRiver basin.4.Uniaxialcompressivestrength Thefieldinvestigationindicatesthatthedepthoflandsliding intheChenyoulanRivercatchmentisdeeperthanthethickness ofsurfacesoilandcolluviumafterthe2004typhoonMindulle. Therefore,weperformedtheuniaxialcompressivestrength (UCS)teston128setsofrocksamplesobtainedfromevery formationinChenyoulancatchmentsoastofindacorrelation betweenmechanicalstrengthofthebatholithineachformation andlandslide.Eachsetofrocksamplesinclude3to5rockcores whichhavealengthof30cmandaradiusof15cm.For37setsofsandstonesamplesfromNanchuangForma- tion,theaverageUCSis70MPa,whilefor12setsofshale samples,itislessthan10MPa.Theratioofsandstonetoshale inNanchuangFormationisabout1:1,thereforetheaverage UCSfortheentireNanchuangFormationiscalculatedtobe42MPa.For32setsofsandstonesamplesfromHosheFormation,the averageUCSis96MPa,whilefor10setsofshalesamples,it variedbetween37and49MPa.Theratioofsandstonetoshale inHosheFormationisalso1:1,hencetheaverageUCSof HosheFormationiscalculatedtobe70MPa.For37setsof metamorphicrocksamplesobtainedfromeastregionof Chenyoulancatchment,theaverageUCSis102MPa. ThecomparativelylowerUCS(b10MPa)ofshalein NanchuangFormationisamajorfactorcausingtheaverage UCSoftheentireNanchuangFormationtobelowerthanthatof theotherformations.AlthoughtheaverageUCSofmeta- morphicrockisthehighestinChenyoulancatchment,the variationofUCSofmetamorphicrockthereisthegreatest becausethemetamorphicrockincludeshighUCSmetamorphic sandstoneandlowUCSslate(Table2).5.AnalysisofNormalizedDifferenceVegetationIndex Onthehillslopedisturbedbylandsliding,thevegetation wouldbewasted.Thedensityofvegetationcanbeanother targettounderstandthedegreeoflandslidingeffect.Green leavescommonlyhavelargerreflectioninthenear-infrared lightthanintheinfraredlight.Asthegreenplantscomeover heavyrainstorm,becomediseasedordie,theywouldreflectsignificantlylessinthenear-infraredlight.Arangeofsatellite derivedvegetationindiceshasbeenwidelyusedtoclassifylandcover.WeusedSPOTsatelliteimaginestocountthedensityofvegetation,whichcouldbeindirectlycalculatedfromthevisibleandnear-infraredlightreflectedbyvegetationasaNormalized DifferenceVegetationIndex(NDVI).TheNDVIresultscan assistindeterminingthedensityofgreenplantpresenceusing thewavelengthsdifference.Theformulausedtocountcanbewrittenasfollows(Deering,1978).NDVI ¼ nearQinfraredreflectionNIR ðÞinfraredreflectionIR ðÞnearQinfraredreflectionNIR ðÞþ infraredreflectionIR ðÞð4ÞNIRandIRcanbeinvestigatedintheSPOTsatelliteimages byobservingthedistinctcolorsinwavelengthsreflectedbytheplants.ThecalculationofNDVIforagivenpixelintheSPOTsatelliteimagesalwa ysresultsinanumberthatrangesfrom −1to+1.BecausethevariationsofphotosyntheticactivityinTable2Mean,minimum,maximumrockstrength,andISRMclassificationofeachlitho-formation FormationNanchuangFormationsandstone(MPa)NanchuangFormationshale(MPa)HosheFormationsandstone(MPa)HosheFormationshale(MPa)Metamorphicterrain(MPa)Mean69.886.3796.4743.14101.77Maximum116.319.80156.5248.42178.41Minimum29.404.0050.4637.9145.18StrengthclassificationofISRMR3 R1 R4 R3 R5Fig.6.NDVIvalueandlandslideratioofeachsub-catchmentinChenyoulancatchment.Dashedlineisregressionofallobserveddata.36G.-W.Linetal./EngineeringGeology97(2008)32–41differentseasonsimpactthecalculationof NDVI,weselectedSPOTimagestakeninthemonthsfromJunetoDecember.Priorto1996typhoonHerb,theresultofNDVIanalysisin ChanyoulanRivercatchmentrangedbetween −0.25and0.77,withanaverageof0.55.AftertyphoonHerb,theaveragevalueofNDVIbecame0.47;moreover,theaveragedroppedto0.43,0.32and0.23afterthe1999Chi-Chiearthquake,2001typhoon Torajiand2004TyphoonMindulle,respectively(Fig.6).These resultsshowthataverageNDVIvalueafteranyrainstormor earthquakeeventdecreasedcontinuouslyduringtheperiod from1996to2004,signifyingthatthevegetationcover conditionwasimpactedandreduced.ThevariationofNDVI valueindifferentsub-catchmentsmayresultfromthediversity ofvegetation,geomaterials,gradient,andotherfactors. IntheChenyoulancatchment,asthelandslideratioincreases withthesuccessiverainstormsandheavyearthquake,theNDVI valuesdecrease.Weattributethistomasserosionresultingfrom landsliding;theresultingwastageofvegetationcausesthedrop ofNDVIvalue.Further,wefindthatthevariationofNDVI valuesinsub-catchmentsafterrainstormsarehigherthanthe variationafterheavyearthquake.Hence,subsequentrainstorms causemoredivergentdestructionofvegetationineachsub- catchment,andthismaybeinfluencedbyprecipitation distributionandpathoftyphoon.6.EstimationofsedimentdischargeHydrometricdata,includingsedimentconcentrationand flowdischarge,arerequiredinordertoapplytheMonthly WeightedAverageMethod(MWA)(Cohn,1995)toestimate sedimentdischarge.ThesamplingfrequencyofWaterResource Agency(WRA)increasesinthesummermonths(fromMayto October).Employinganaverageofmonthlyaveragecan eliminatebiasassociatedwithincreasedsamplingfrequency. Thedatausedinourstudywereobtainedfromthehydrometric stationsoftheWaterResourcesAgencyintheChenyoulan Riverwatershed.TheobserversofWRAgetthesuspended sedimentsampleaverage30±2timesperyearandtheyalso measuretheflowdischargeastheygetthesuspendedsediment sample(WRA,2007).Theformulausedtocalculatethe sedimentdischargecanbewrittenasfollows,EMWA ¼ 112X12i1miXmij¼1Qsijð5Þwhere EMWA isthecalculatedamountofsedimentdischarge(tday−1), mi isthemeasuredtimesnumberfrequencypermonth,and Qsij isthemeasuredvalueofsedimentdischarge(tday−1).Lackingsufficientmeasurementdatafromthetyphoonperiodstocalculatethetyphoon-inducedsedimentdischarge, weusedtheRatingCurveMethod(Walling,1977)toestimate sedimentdischargeduringthetyphoonperiods.TheRating CurveMethodisusefulwhenanempiricallycalibratedpower lawrelationbetweentheflowdischargeandthesedimentconcentrationcanbedefined.ThestandardformulaisQs ¼ aQcð6Þwhere Qs issuspendedsedimentconcentrationand Q isflowdischarge.Theformulaislinearizedbytakingthelogarithmofeachcoordinateaxis.Theparameters a and c aredeterminedbyusingleast-squareregression.Then,the Qs wouldbeobtainedbyback-transformationofthemeasurementsofflowdischargeTable3 Statisticsofsedimentdischargeandflowdischargeoffourtyphoonswhichinducehazardouslan dslidesEventsDate(days)Totalsedimentdischarge(t)Calculateddate(days)Averagesedimentdischargeperday(tday−1)Averageflowdischarge(m3s−1)Unitsedimentdischarge(tm−3s−1)Herbtyphoon7/29–8/1(4)28,743,0587/31–8/2(3)9,581,019913.7031,457Torajityphoon7/28–7/31(4)11,555,9227/30–8/2(4)2,888,980254.8845,338 Mindulletyphoon6/28–7/3(6)9,918,4946/28–7/5(8)1,239,811203.2848,791Aeretyphoon8/23–8/26(4)34,146,5348/23–9/3(12)2,845,544897.5738,043 Table4 Averageflowdischargeanddailysedimentdischargeintheperiodoftyphoon TyphoonDateSedimentdischarge(t)Averageflowdischarge(m3s−1)Herb1996/7/31405,716186.261996/8/125,727,1771875.831996/8/22,610,166698.33Totalsedimentdischarge28,743,058Toraji2001/7/28276820.072001/7/29191317.082001/7/3010,426,733730.382001/7/31910,888251.992001/8/1164,860119.492001/8/253,44273.07Totalsedimentdischarge11,555,922Mindulle2004/6/28455,123146.122004/6/29443,531144.562004/6/30433,875143.372004/7/1426,486142.422004/7/2738,302172.002004/7/31,964,797252.502004/7/44,862,211356.192004/7/5594,170221.98Totalsedimentdischarge9,918,494Aere2004/8/23100,30899.772004/8/24596,613222.392004/8/254,268,531874.642004/8/263,003,188637.112004/8/274,884,710987.662004/8/284,930,563996.012004/8/294,884,710987.662004/8/305,116,4491,029.792004/8/313,584,263747.222004/9/11,543,763349.752004/9/21,202,453304.762004/9/330,98458.83Totalsedimentdischarge34,146,53437G.-W.Linetal./EngineeringGeology97(2008)32–41Q.Therelationbetweenflowdischargean dsedimentconcentrationwasconstructedbythemeasureddataofoneyear.ForthecaseoftyphoonMindulle,thethirtymeasureddataof2004areusedtoconstructtheratingcurveof2004,andthen thesedimentdischargeduringtyphoonMindulleisestimatedbytheratingcurveof2004andthehourlyflowdischargeduringtyphoonMindulle.Weestimatedthesedimentdischargeof4typhoons,includingtyphoonsHerb,Toraji,MindulleandAerefrom1996–2004.Estimationofdataatthehydrometricstationshowsthat,duringtheperiodof1972–2004,theaverageannualsediment dischargeatthedownstreamNeimaopustationwas6.2Mtyr−1,whiletheannualsedimentdischargewas107Mtin2004.Ifweexcludedthe2004datafromourestimation,theannualsedimentdischargewouldbe2.9Mtyr−1.DataestimationattheupstreamHoshestationshowsthat,duringtheperiodfrom1972to2000,theaverageannualsedimentdischargewas0.5Mtyr−1,thatis,one-tenthoftheaverageannualsediment dischargeatthedownstreamNeimaopustation.Nevertheless, theannualsedimentdischargeatHoshestationwas2.7Mtyr−1in1994,butlessthan100tyr−1in1987.Theabove-mentioned conditionshowsthatthevariationoftheannualsediment dischargeattheHoshestationisgreat.Wealsoestimated sedimentdischargesduringmajorstorms,including1996typhoonHerb,2001typhoonTorji,2004typhoonMindulleand2004typhoonAere(Table3).During1996typhoonHerb,thecatchmentofupstreamNeimaopustationsupplied28.7Mtofsedimentdischargeoveraperiodof3days(Table4).Specificallyon1August,25.7Mt ofsedimentwasdelivereddownstream,withtheaverageFig.7.Therecordofwaterdischargeandsedimentdischargeintheperiodfrom1972to2004. Fig.8.(a)SuspendedsedimentratingcurveoftheChenyoulanRiver.Dashedlineispowerlawfun ctionfittedtopost-earthquakedata;solidlineispowerlawfunctionfittedtopre-earthquakedata.(b)Theconcentrationratioofpre-earthquakeandpost-earthquake.Solidlineispowerlawregression.38G.-W.Linetal./EngineeringGeology97(2008)32–41sedimentconcentrationforthisdayreachi ng158.7×103ppm,muchhigherthantheaverageannualsedimentconcentrationof2.3×103ppm.During2001typhoonToraji,thecatchment upstreamofNeimaopustationsupplied11.6Mtofsediment,with10Mtofsedimentdelivereddownstreamon30July.The totalsedimentduringtyphoonTorajiwaslessthanthatduringtyphoonHerb,buttheaverageflowdischargeduringtyphoonTorajiwas254.9m3s−1,onlyaquarteroftheaverageflowdischargeduringtyphoonHerb.Theunitconcentrationof sedimentduringtyphoonTorajiwas4.5Mtm−3s−1greaterthantheunitconcentrationduringthetyphoonHerb.During2004typhoonMindullefrom28Juneto3July,4.5Mt ofsedimentweredeliveredtothedownstreamarea.However, stormsfollowingtyphoonMindulleinduced4.9Mtofsedimenton4July.DuringtheperiodoftyphoonAere,theupstream catchmentofNeimaopustationyielded34Mtofsediment,with anaveragedailysedimentdischargeof2.8Mtday−1.TheunitsedimentconcentrationsduringtyphoonsMindulleandAerewere4.8Mtm−3s−1and3.8Mtm−3s−1,respectively.7.Thechangeofsedimentdischarge Fortherelationshipbetweenaverageflowdischargeand measuredsedimentdischargeduringtheperiodof1972–2004,wefoundthatpost-earthquakemeasuredsedimentdischargesweregreaterthan1tday−1(Fig.7),whichdiffereddiscerniblyfromthepre-earthquakemeasuredsedimentdischarges,whichwerefrequentlylessthan1tday−1.IntheChenyoulanRiverbasin,thesedimentdischarges increasedaftertheChi-Chiearthquake(Fig.8a).Theaverage annualsedimentdischargewas2.9Mtyr−1(7.9×103tyr−1km−2)intheperiodof1972to1999,anditwas37.8Mtyr−1(103×103tyr−1km−2)intheperiodfrom2000to2004.The changeindicatesthatsedimentdischargesincreasedby13times aftertheearthquake.Theaverageannualsedimentdischargeof theChoshuiRiverincentralTaiwanwas5.4Mtyr−1(1.8×103tyr−1km−2)intheperiodfrom1986to1999,anditincreasedby2.6timesintheperiodbetweentheChi-Chiearthquakeandthe endof2001(Dadsonetal.,2004).TheareaoftheChoshui Riverbasinis2989km2,8timesgreaterthantheChenyoulanRivercatchment.Inadditiontotherelationshipbetweenthe measuredflowdischargeandthesedimentconcentration,the post-seismicconcentrationincreased,andtheratioofpre- seismicandpost-seismicconcentration(Cpost/Cpre)canbe describedbyapowerlawformulawithmeasuredflowdischarge(Fig.8b).Thisformulacanbewrittenasfollows,logCpostCpre¼ 0:352 log Q þ 1:27 ð6Þ where Cpost isthepost-seismicsedimentconcentration, Cpre is thepre-seismicsedimentconcentration,and Q isthemeasuredflowdischarge.Theexponentialdecayrevealsthattheratio,Cpost/Cpre,islowerwhentheflowdischargeishigher. Whentheflowdischargeislessthan100m3s−1,post-seismicsedimentconcentrationis4timeshigherthanpre-seismic concentrationwiththesameflowdischarge.Dadsonetal.(2004) discussedtheaverageovera6-monthperiodofsedimentconcentrationfrom1986to2002intheChoshuiRiver,and foundthatthedataforwinterseasonsdisplayedanexponential decayinsedimentconcentrationfromtheelevatedpost-seismicvaluetothepre-1999wintermean.AlthoughtheChenyoulan RiverisatributaryoftheChoshuiRiver,itsconditionof sedimentdischargeduringwinterseasonsisnotthesameasthatoftheChoshuiRiver.Moreover,theaveragesedimentdischargeforpost-earth-quakewinterseasons(1999–2004)waslessthantheamountfor allavailablerecordedwinterseasons(1972–2004).Thatmay havebeenbecausetheaverageannualprecipitationfor1999to2004wasalsolessthantheamountfor1972to2004.ThisalsoFig.9.Timeseriesofsedimentdischargeovera6-monthperiodbetween1972and2004intheChe nyoulanRiver.Dottedlineshowstyphoonseasonmean;dashedline showswinterseasonmean.39G.-W.Linetal./EngineeringGeology97(2008)32–41indicatesthatpatternofsedimentdischarg eduringwinterseasonsisdeterminedbytheprecipitation.Additionally,fromthecomparisonoftheaverageovera6- monthperiodofsedimentdischarge,wefoundthatin1999the sedimentdischargeoftyphoonseason(fromMaytoOctober)was15263timesthesedimentdischargeofwinterseason(from DecembertofollowingApril),andtheaveragesediment dischargeoftyphoonseasonswas38timestheaverage sedimentdischargeofwinterseasonsfrom1972to2004.This revealsthatsedimentdischargesoftyphoonseasonsandwinter seasonsdisplayenormousdisparityintheChenyoulanRiverbasin(Fig.9).8.DiscussionInNanchuangFormation,thetyphoonMindullelandslideratiowas17timesthetyphoonHerblandslideratio(Fig.10).But,inHosheFormation,thelandslideratiofromtyphoonHerb totyphoonMindulleincreasedlessthan5times.Theincreaseof landslideratiofortheNanchuangFormationisdiscerniblygreaterthanthatoftheHosheFormationintheperiodfrom1996typhoonHerbto2004typhoonMindulle.Thisobserva- tionshowsthatthelandslideratiodifferencebetween NanchuangFormationandHosheFormationmayberelated tothefactthattheaverageuniaxialcompressivestrengthof NanchuangFormationisthelowestamongthreeformations.InAlluvium,withsedimentstrengthlessthan10MPa(CGS,2003),thelandslideratioalsoincreasedbylessthan5times fromtyphoonHerbtotyphoonMindulle.Keefer(2000) suggestedthattheproportionofsurfacearea disturbedbylandslidingincreaseswithproximitytotheearth- quakeepicenterandearthquakefaultandthedecreasebecomes moreobviouswithproximitytotheepicenter. Dadsonetal.(2004) studiedthelandslidedataofChi-Chiearthquake,and foundthatthedecreaseinareaaffectedbylandslidingawayfrom theChelungpufaultwasrapidatdistancesinexcessof20kmfromthefault.IntheChenyoulanRiverbasin,afterChi-Chiearthquake,thelandslideratiodecreasedatincreaseddistances fromtheChelungpufaultandalsodecreasedwiththedecayin peakverticalgroundacceleration(PGA)(Leeetal.,1999). Oncethedistanceawayfromfaultexceeded20kmandPGAwaslowerthan0.2g,thelandslideratiodecreasedtolessthan1%quickly(Fig.11).ThiswasparticularlyevidentaftertyphoonToraji.Moreover,oncethedistanceawayfromfaultexceeded20kmandPGAwaslowerthan0.2g,thelandslide ratiooftyphoonTorajidecreased7.2%morequicklythanthe decreaseofthelandslideratiooftheearthquake.Nevertheless, aftertyphoonMindulle,thisappearanceofdecayoflandslide ratiowasmoderated.Theobservationofastrongerearthquake- relatedsignalinthetyphoonToraji-inducedlandslidedistribu-tionsuggeststhat,eveninareasthatexperiencednolandsliding duringanearthquake,thesubstratewaspreconditionedtofail.ndslideratiosinresponsetoearthquakewithdistancefromChelungpufault. ndslideratiosoffourformationsinfourtyphoon-inducedandearthquake-inducedlandslideandUCSoffourformations.40 G.-W.Linetal./EngineeringGeology97(2008)32–419.Conclusion Theprobabilitydistributionoflandslideareaforfourevents,includingthe1996typhoonHerb,1999Chi-Chiearthquake,2001typhoonToraji,and2004typhoonMindulle,correlating wellwithapowerlawrelation,regressionexponentslessthan1.5,indicatesthatthelandslideconditionintheChenyoulan Riverbasinisdominatedbysmallandfrequentlandslides. DuringtheperiodfromChi-ChiearthquaketotyphoonMindulle,theratioofnewgenerationlandslidesinthe。