Closure in crystal size distributions (CSD), verification of CSD calculations,.pdf

Closure in crystal size distributions (CSD), verification of CSD calculations,.pdf

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时间:2019-03-15

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1、AmericanMineralogist,Volume87,pages171–175,2002LETTERSClosureincrystalsizedistributions(CSD),verificationofCSDcalculations,andthesignificanceofCSDfansMICHAELD.HIGGINS1,*1SciencesdelaTerre,UniversitéduQuébecàChicoutimi,Chicoutimi,G7H2B1,CanadaABSTRACTCrystalsizedistribut

2、ion(CSD)measurementsaresusceptibletotheclosureproblem,justlikechemicalcompositions.Initssimplestformthismeansthatthetotalcrystalcontentofarockcannotexceed100%.Wherechemicalorthermaleffectslimitthetotalquantityofasinglephase,closurecanoccuratlowervolumetricphaseproportio

3、ns.ThismeansthatpartsoftheCSDdiagram[ln(populationdensity)vs.size]arenotaccessible.Ifthevolumetricphaseproportionisconstant,thenstraightCSDswillappeartorotatearoundapointatsmallsizesgivingafanofCSDs.Thesefansaresignificantanddoshowchangesincrystalsizesthatcanbeinterpret

4、edintermsofmagmaticpro-cesses.However,thecorrelationbetweentheslopes(orcharacteristiclengths)andinterceptsofindividualCSDsinafamilyisnotsignificant,butjustaconsequenceoftheconstantphasepropor-tioneffect.Manyothergraphs,suchascharacteristiclengthvs.volumetricphaseproport

5、ion,cangivemoreinformationonmagmaticprocesses.INTRODUCTIONCLOSUREANDCONSTANTPHASEPROPORTIONINCrystalsizedistribution(CSD)studiesofigneousandmeta-CSDMEASUREMENTSmorphicrockshavebecomemorepopularrecentlypartlybe-Weareconcernedherewiththeeffectsofconstantphasecauseithasbee

6、nrealizedthattheyareaquantitativemethodproportiononCSDs,however,Iwillshowlaterthatevenquiteoflookingatigneousprocessesthatiscomplementarytolargevariationsinvolumetricphaseproportionscanshowthegeochemicalstudies(e.g.,Cashman1990;Higgins1999;Marshsameeffects.Clearly,closu

7、reisjustaspecialcaseofthismore1998).Anotherreasonmaybetherecentavailabilityofsimplegeneralproblem,wherethevolumetricphaseproportionisequalmethodsofcalculatingCSDsfrommeasurementsintwodi-toone.mensions,suchasthinsections(e.g.,Higgins2000;PetersonThevolumetricproportionof

8、phasei,Vi,iscalculatedby1996).integrationofthevolumeofallthecrystals:Thecrystalcontentofarockcannotexceed100%,

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