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1、JournalofStructuralGeology,Vol.18,Nos2/3,pp.281to293,1996PergamonCopyright©1996ElsevierScienceLtdPrintedinGreatBritain.Allrightsreserved0191-8141/96$15.00+0.000191--8141(95)00132--8Arefaultgrowthandlinkagemodelsconsistentwithpower-lawdistributionsoffaultlengths?TRENTONT.CLADOUHOSDepartmentofGeolog
2、icalSciences,Box351310,UniversityofWashington,Seattle,WA98195,U.S.A.andRANDALLMARRETFDepartmentofGeologicalSciences,UniversityofTexasatAustin,Austin,TX78712,U.S.A.(Received3January1995;acceptedinrevisedform17October1995)Abstract--Ithasrecentlybeenrecognizedthatfaultlengths(L)innaturalpopulationsfo
3、llowpower-lawscaling.Suchpower-lawscalingisobservedinawiderangeoftectonicsettingsinregionsthathaveexperienceddifferingamountsoftotalstrain,andexhibitfaultsoveraverylargerangeofdimensions.Inthispaperweexplorepossibleconstraintsonfaultgrowthandlinkagerequiredtomaintainpower-lawlengthscalingduringpro
4、gressivedeformation.WefirstconsiderafaultgrowthmodelinwhichindividualfaultsinapopulationgrowbyanamountAL~Leduringslipincrements(earthquakes),whichhavearecurrenceintervalr~LE.Ifaninitialpower-lawlengthdistributionisassumedforthepopulation,itisfoundthatthegrowthmodelexponentsmustberelatedbyF-E=1inor
5、dertocontinuallymaintainthesamescaling.Iftherequirementofconstantmomentreleaseratethroughtimeisalsoimposed,thisimpliesthatforlargefaultsE=2,whichleadstoalossofpower-lawscalingwithincreasingstrain,unlessF-3.CurrentmechanicalmodelsforgrowthofsinglefaultsbytippropagationproposeE->1andF=1.Thussingle-f
6、aultmodelsarenotconsistentwithobservedpower-lawscaling.Inasecondmodel,faultlengthsincreasebygrowthspecifiedbythefirstmodel,unlessanearbyfaultisencountered,inwhichcasethetwofaultslink.Withthismodel,itispossibletoproduceapower-lawdistributionfromafaultorflawpopulationthatinitiallydoesnothaveapower-l
7、awdistribution.Onceapower-lawdistributionisdeveloped,faultlinkagecausesthepower-lawexponent(C)todecreaseasfaultstrainincreases.INTRODUCTIONthefaultlengthdatamaybebiased.Atleasttwosystem-aticproblemsrelatedtothema
