Title Strain Analysis of Kayo Formation around Teniya-zaki,Okinawa-jima

Author(s) Hayashi, Daigoro; Baba, Sotaro

Citation 琉球大学理学部紀要 = Bulletin of the College of Science.University of the Ryukyus(56): 165-190

Issue Date 1993-10

URL http://hdl.handle.net/20.500.12000/2624

Rights

BuU､ColLSci.,Univ､Ryukyus,ＮＣ`５６：165-190（1993）1６５

StrainAnalysisofKayoFormationaroundTeniya-zaki，

Okinawa-jima

DaigoroHAYASHI＊ａｎｄＳ⑪taroBABA…

oDepartmentofMarineSciences,UniversityoftheRyukyus,Okinawa903-01,Japan

掌中DepartmentofEarthScience，ＥｈｉｍｅUniversity，Matsuyama790，Japan

Abstm⑰t

T1neTeniyaareainOkinawa-jimasituatedjustnorthtotheKayoareawhereHayashi

(1988,1989,1992）accomplisbedthestrainanalysis､TheKayoFormationaroundTeniya-zaki

strikesgenerallynortheasttｏｓｏｕｔｂｗｅｓｔａｎｄｄｉｐｓｔｏｔｈｅｗｅｓｔ・T1neresultofthestrainanaly-

sisｏｆｔｈｅａｒｅａｉｓｓｉｍｉＩａｒｔｏｔｌｌａｔｐｅ㎡ormedbyHayashi（1989)ithebeddmgplanehasthe

tendencypａｍｌｌｅｌｔｏｔｈｅＸＹｐｌａｎｅｏｆｔｈｅｓｔｒａｉｎｅllipsoid．、eintensityofstrainEstakes

weakervaluethanthatexpectedfromthefoldingstructu“developedinthearea・The

reasonisconsideredtobethecompetencycontrastbetweenquartzgrainsofstrainmaIker

andmatrix・ＡｓｔｈｅｖａｌｕｅｓｏｆＩ…ａｎｄＸ２ｏｂｔａｉｎｅｄｆｒｏｍＲｌ／＃diagramarelargerthan

thecriticａＩｖａｌｕｅｏｆｔｈｅｍ，weconcludethatthe“wasnoinitialfabricsofquartzgrains

beforedeformation．

lntmduction

Therearemanystudiesusingmineralgrainsasstrainmarker・Davidson（1983）used

feldspargrainsasthestrainmarkerandobtainedstrainellipseusingthethreeindependent

methods，theRamsay'ＳＲＩ/ゆmethod（1967)，Dunnet，ｓＲ１Ｍｍｅｔｈｏｄ（1969,1971）and

Elliott，smethod（1970)．HeassumedthatschistosityplaneiscoincidewiththeXyplane

ofstrainellipsoidandlineationisthedirectionofXaxis・LacassineZaJ.(1983)usedblue-qu

artzgrainsasthestrainmarkertocalculatethestrainellipseusingtheFry,smethodq979)．

HealsoassumedforschistosityplaｎｅｔｏｂｅｔｈｅＸＹｐｌａｎｅａｎｄｆｏｒｌｉｎｅａｔｉｏｎｔｏｂｅ

ｔｈｅｄｉｒｅｃｔｉｏｎｏｆＸａｘｉｓｏｆｓｔｒａinellipsoiCL

Jensen（1984）treatedquartzgrainasthestrainmarkertoobtainstrainellipseusinｇ

ｔｈｅＲｌ/ウmethodHeassumedthatschistosityｉｓｃｏｉｎｃｉｄｅｗｉｔｈｔｈｅＸＹｐｌａｎｅａｎｄｌｉｎea-

tionisequaltothedirectionofXaxisofstrainellipsoid・HethenconductedtheRayleigh

testwhetherthestrainmarkerhadpreferredorientationornoLSiddansetaL(1984)adopt

edthegreenspotinpeliticroｃｋａｓｔｈｅｓｔｒａｉｎｍａｒｋｅｒｔｏｏｂｔａｉｎｔｈｅstrainellipse

usingtheR`ﾉｳmethod､Thestrainellipsoidisconstructedwiththemethoddevelopedby

Owens(1984）whichisderivedfromtheleastsquaremethod

Odling(1984)usedthequartzgraininquartzo-feldsparthicgneissasthestrainmarker、

Ａｓｔｈｅｓｈａｐｅｏｆｑｕａｒｔｚｇｒａｉｎｓｉｓｄｉｆｆerentfromthatofellipse0hetakessixreference

lineswith30･intervalseachotheronthemeasurementplane、Ｈｅｓｅｔｕｐｔｈｅｃｅｎｔｅｒｏｆ

ｔｈｅｑｕａｒｔｚｇｒａｉｎｓｉｎｅｙｅａｎｄｍｅａｓｕｒｅｄｔｈｅｌｅｎｇｔｈｏｆthelinewhichisparalleltothe

referencelineandpassthrouｇｈｔｈｅｃｅｎｔｅｒａｎｄｌｉｍｉｔｅｄｗｉｔｈｔｈｅｑｕartzgrainboundary・He

addedandaveragedthelengthofallthegrainsforeachreferencelineHeassumedthat

theellipsewhichisconstructedwiththeaveragedlengthforeachdirection，ｉｓｃｏｉｎｃｉｄｅｔｏ

Accepted：August16,1993

ＡｐａｒｔｏｆｔｈｉｓｗｏｒｋｗａｓｐｒｅｓｅｎｔｅｄａｔｔhelOOthAnnualMeetingoftheGeologicalSocietyofJapaninTokyo，Ａｐｒｉｌ５，１９９３

DaigoroHAYAsHI・SotamBABA1６６

tbestrainellipse・ThestrainellipsoidwascalcUlatedwiththemethodproposedbyHext

(1963)．Ｓｅｎｏ（1992）usedthegrains(gramspecieswerenotwritteninhispaper)within

tuff，conglomerateandquartziteasthestrainmarkertogetthestrainellipseusingthe

Fry，smethodHeassumedthatschistositｙｐｌａｎｅｉｓｃｏｉｎｃｉｄｅｗｉｔｈｔｈｅＸＹｐｌａｎｅofthe

strainellipsoid、Hecalculatedthestrainellipsoidｕｓingboththestrainellipseswhichare

obtainedfromtheplaneparalleltotheschistosityandfromtheplaneperpendiculartothe

schistosity・

Manyofthemethodsdescribedhereusedthegrainswhichhavesimilarsbapetoellipse

suchasquartzgrainandtheyobtainedthestraineUipseusingtheRfMmethodorthe

Frymethod、TheyassumedthattheschistosityplaneiscoincidewiththeXYplaneand

thelineationisthedirectionofXaxisofthestrainellipsoid・Theexclusiveexamples

arethatdonｅｂｙＳｉｄｄａｎｓｅｔａＬ（1984）usedtheOwens'ｓｍｅｔｈｏｄａｎｄｔｈａｔｄｏｎｅｂｙＯｄｌｉｎｇ

(1984)usedtheHexfsmethod

Hayashi（1989,1992）analyzedthestrainintheKayoareausingtheSI3methodwhich

istheoreticallyclearmethodtocmstructstrainellipsoidfromthestrainellipsesonthe

mutuallyperpendicularplanes・ThepresentpaperanalyzesthestrainintheTeniyaarea

adjacenttotheＫａｙｏａｒｅａｕｓｉｎｇｔｈｅＳＩ３ｍｅｔｈｏｄａndtheLisle's0curvemethodtojudgewhetherthemarkerhasinitialfabricornot．

GeoIogicalSetting

ThePre-TertiarysystemofOkinawa-jimaiscalledtheKunchanGroupexcludedthe

formationsdistributingaroundtheMotobuPeninsula・TheKuncha曲Groupisconstructedby

theNagoFormationandKayoFormationinascendingorder・TheNagoFormationismainly

composedofphyllitesandgreenstones，andnofossilshaveyetbeenfound・Althoughthe

ageoftheNagoFormationiscontrovertial,HayashiandKizaki（1985）considereditfrom

CretaceoustoPaleogene・ＴｈｅＫａｙｏＦｏｒｍａｔｉｏｎｉｓｃｏｍｐｏｓｅｄｏｆａｌtemationofsandstoneand

mudstone・AsNummulitesamakusaensiswasfoundfromtheformation（SuzukiandUjiie

l985)，theageoftheformationisconfirmedasmiddleEoceneTheKunchanGroupiscorrelatedwiththeSouthernzoneoftheShimantoSupe堰roupfromtheabovementioned

evidenceqlayashiandKizaki,1985）

Ｔｈｅａｒｅａｗｈｉｃｈｉｓａｎａｌｙｚｅｄｊｎｔｈｅｐｒｅsentpaper，isthepartindicatedinFig、１along

theeasternsideofOkinawa-jima，ｔｈｅｓｈｏｒｅｌｉｎｅｆｒｏｍＴｅｎｉｙａｔｏＴｅniya-zaki、Ｔｈｅａｒｅａｉｓ

ｃｏｍｐｏｓｅｄｏｆｆｌｖｓｃｈｔｙｐｅａlternationofsandstoneandmudstoneoftheKayoFormation・

Isoclinalfoldimgwhoseaxialplanedipstonorthwestisseverelydeveloped・Theindicato曙

ｏｆｐｏｌａｒｉｔｙｏｆｂｅｄｓｓｕｃｈａｓｃｒｏｓｓｌａｍina，tracefossilandoutcropshowingthat“soft-layer

ruptureddeposits”（Gireki-souinJapanese）gougedoutsandstonebedarewellobserved

intheflyschtypealternationofsandstoneandmudstonearoundBan-zaki（FukudaetQﾉ.，

1978;Hayashi,1988).Hayashi(1988)decidedwhichtoppingofthebedsisnormalorreverse

bysomesedimentarystructuresintheareaaroundBan-zaki・Onthecontrary，inthearea

aroundTeniya-zakiwecannotclearlyjudgethepolarityofbedsbecauseoftheincomple-

tenessoftheresearchperfoImedbyoneofus，Ｓ・Baba・Ｆｉgures2and3illustratethe

tectonicmapoftheareaandgeologicalprofile，respectively．

StrainAnalysisofKayoFormationaroundTmiya-zaki 1６７

●

０

Ｆｉｇ．１．Ｉｎｄｅｘｍａｐ

zqki

DaigoroHAYAsHI・SotaroBABA1６８

StrainAmlysisanditsResult

Samplｉｎｇ

Ｔｈｅｏｒｉｅｎｔｅｄｒｏｃｋｓａｍｐｌｅｓｏｆ４７ｐiecesarecollectedalongtheshorelinefromTeniya

toTeniya-zakiinthealternationofsandstoneandmudstone・Ｔｈｅｃｕｂｅｓｏｆｗｈｉｃｈｔｈｅｌｅｎｇｔｈｏｆ

ｓｉｄｅｉｓａｂｏｕｔ５ｃｍａｒｅｃｕｔｆｒｏｍｔｈｅｓａｍｐｌｅｓ､Threeplanessharingacommonapexarｅｎａｍｅｄ

ａｓＡ,BandCplanewhicharearbitrarilydisposedasdescribedinFi９．４．Ｔｈｅｉｎｔｅｒｓｅｃｔｓ

ｏｆａｎｙｔｗｏｐｌａｎｅｓｏｆｔhetotalthreeplanesaredefinedas坊ｙａｎｄｚａｘｉｓ､Ｈｅｒｅｗｅｔａｋｅｚ

ａｘｉｓａｓｔｈｅｉｎｔｅｒｓｅｃｔｏｆＢａｎｄＣｐｌａｎｅｓ，ａｎｄｔｈｅｎ〃ａｎｄｙａｘｅｓａｒｅｔａｋｅｎｓｏａｓｔｏｃｏｎｓｔｒｕｃt

apositivecoordinatesystem海yz、Ｉｆｗｅｔａｋｅｒ”ｓｙstemasmentionedabove，ｔｈｅｐｌａｎｅＡ

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Ｃ，ｂｅｃｏｍｅｓｔｈｅｐｌａｎｅｙｚｏｒ率dependsontherelativespacialdispositionofA，ＢａｎｄＣ

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Ｆｉｇ、４．CubewiththreefacesA,ＢａｎｄCStrainelIipsewithXandYaxes，andthethickarrowmark

indicatingstrikeanddip・Thedirectionofarrowofthestrikeｍａｒｋｍｅａｎｓｔｈｅ”northemdirection

ofstrike"．＃istheanglefmmthemortherndirectｉｏｎｏｆｓｔｒｉｋｅｔｏｔｈｅＸａｘｉｓｏｆｓｔｒａｉｎｅllipse、Ｔｈｅｖａｌｕｅｏｆ‘isalwaystakenpositive,Itisarbitrarytotakewhichfacesa１℃Ａ,ＢｏｒＣｐｌａｎｅｓ．

planes，Ｔａｂｌｅｌｓｈｏｗｓｔｈｅｓｔｒｉｋｅａｎｄｄｉｐｏｆｅａchsamplewhereェy，ｙｚａｎｄｚ〃planesare

definedasdescribedabove・Table2indicatestheintersectangｌｅｏｆｅａｃｈｔｗｏａｘｅｓ，ェａｎｄ

汎ｙａｎｄｚ，andzandjrwhosevalueisexpectedｔｏｂｅ９０。，ｉｆｗｅｔａｋｅｐｒｅｃｉｓｅｌｙｔｈｅ泌辨

systemorthogonally・Threethinsectionsaremadefromeachcubeoftheorientedsamples

Thetotalnumberofthinsectionis４７（planes）×３（thinsections）＝l41pieces・Then

micro-photographsaretakenfｒｏｍｔｈｅｍＷｅｄｒａｗ５０ｔｏ２００ｐｉｅｃｅｓｏｆｍａrkerellipsesofquartzgrainineachphotograph

Thediameterofsandgrainsofthesandstoneisfine（0.1-0.2ｍｍ）andoccasionallymediumTheroundnessofsandgrainsisamgularorsub-angulartosub-roundedandthe

sortnessispoor・Themineralassembledgeofthesandstoneisquartz，plagioclase，K-feldspar，

StrainAnalysisofKayoFormationaroundTeniya-zaki 1６９

ＴａｂｌｅＬＳｔｒｉｋｅａｎｄｄｉｐｏｆ妙耀ａｎｄｚェplanes． Table21ntersectamg]ｅｂｅｔｗｅｅｎａｎｙｔｗｏ

ｃｏｏｒｄｍａｔｅａｘｅｓｏｆｘ,ｙａｎｄｚ．

microcline，muscovite，biotite，chlorite，opaqueminerals，androckflakes・Thefeatures

whichindicateanydeformationarenotseenexceptthatquartzgrainsshowfrequently

waWdistinction・Biotiteischangedalmosttochloritesothatbiotiteisrarelyfound・The

twotypesofsandstonearerecognized,ｏｎｅｉｓｗａｃｋｅａｎｄｔｈｅｏｔｈｅｒｉｓａｒｅｎｉｔｅ．

TwoDimensionaIStrainAnalySiS

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１２３４５６７８９０１２３４５６７８９０１２３４５６７８９０１２３４５８７８９０１２３４５６７

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DaigoroHAYAsHI・SotaroBABA1７０

tectonicstrainellipsedevelopedbyShimamotoandIkeda（1976)．Ｔｈｅｖａｌｕｅｏｆｌｏｎｇａｘｉｓ

ＸａｎｄｓｈｏｒｔａｘｉsYofstrainellipsearenormalizeｄａｓｎｏｖｏｌｕｍｅｃｈａｎｇｅ（Ｘｙ＝1)．The

parameterRistheaxialratioofstrainellipse（Ｒ＝Ｘ／Ｙ）ａｎｄ＃istheanglebetweenthedirectionoｆＸとaxisandthenortherndirectionofstrikeoftheplaneconcerned、Ｔｈｅ

Table３．Valuesofstrainellipse．Ｘ：IengthoflongaxisofstraineIlipsｅ－Ｙ：lengthofshortaxis

of…､｡Ⅱipse"…,FatiooI…(+)｡:angI…m1h…rthemd…ionoist『ik・ｔｏｔｈｅＸａｘｉｓｏｆｓｔｒａｉｎ

northerndirectionofstrikemeans，ｆｏｒexample，ｉｆｗｅｃｏｎｓｉｄｅｒｔｈｅｓｔｒｉｋｅＮ４０。Ｅ，there

aretwodirectionswhichthestrikeindicates，ｏｎｅｉｓＮ４０ｏＥａｎｄｔｈｅｏｔｈｅｒｉｓＳ４０･Ｗ

ＷｅｃａｌｌＮ４０・Easthenorthemdirectionofstrike．

ThreeDimensimualStrainAnalysis

ThestraineUipsoidisconstructedusingtheSI3methodfromthestrainellipsesof

threesectionsineachsample・ＴｈｅＳＩ３ｍｅｔｈｏｄｉｓｔｈｅｔｅｃｈｎｉｑｕｅｔｏｃａlculatetectonic

strainellipsoiddescribedbyShimamotoandIkeda（1976)．ThevaluesoflongestaxisX

inteImediateaxisYandshortestaxisZarenormalizedsoastonovolumechange（XYZ＝

1）ａｓｓｂｏｗｎｏｎＴａｂｌｅ４・EachparameterindicatedonTable4isdefinedasfollows．

Ba■ＰｌＧ

ｎＨｍＤｈｇｒ ~i－１

ＸｙＰｌａｎｏ

可一面可一万丁￣

ｙＺＰｌａｎＧ

Ｘ Ｙ Ｒ ｡．

ZＺｐｌａｎＤ

Ｘ Ｙ Ｒ ①。

１２３４５６７８００１２３４５８７８９０１２３４５６７８９０１２３４５６７８９０１２３４５６７

１１１１１１１１１１２２２２２２２２ｚ２３３３３３３３３３３４４４０４００４

０５８３１４２０９３８３３７１３２０８３８３１４７０３７８０１６６３４２８７２３３４８３ｚ６９

２１０１０２２２１２２２１０１１０２０１２１１１０Ｚ１０００２２００２２０１１２２１１２忽３１

●●■●ｃ●●●■●●●●●ロ■■■■□●●●●●●●●●●●●●■●●■■●●●●●已句。Ｃ

Ｑ■△●■△●■△●■＆｜□■■●■■．□■■■■｜Ｐ●■②●■△●■△一●■●●■■●■＆●■」一●■＆●■二●■△●曰△●■▲●■▲●■▲●■△Ｇ■■●■ら●■△●■二●■▲●■▲●■△●■Ｓ●■△●■■●■■●■■●■●●、の●■△●■二一句■＆●■▲●■凸●●■凸●■△｜■■▲●■。●■▲

加配塊卵朗、醜酩酪醒ね、囲叫叩叩卵酩唖肥犯鋼帥師則““”妬、蛆ね躯師、幽囲醍叩、、“即、醜ねＭ

■ＣＤ●●●■■●●●■己●●●●●●●■■●●●●●●■■■ＤＣ●●Ｃ句の●●●●●●●●Ｐ

“型、諏皿卵佃媚⑪叩則印妬叫頚酎蝿躯、郵曲”郵割Ｍ“”狙皿釦伽印皿砿印佃坦諏泌醜唾魂扣塊⑬顕仙

■■●巾●●匂●●■●●●●●●●●●●■巳●ＣＯ●●●●■巳Ｂ●ＣＯ●●●●■●の●●●■■

１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

●●■●Ｏ●Ｇ■●●●●●Ｐ■●■■●●●①■■の●●●●●●●。●■■■●●●●■●●●●の

３０２８８４３９８２７３６０７０４６９８０３００７１７５７０９３９９９００１４０２２Ｚ６０３７

４４６１３１２３６２４１７２４３６４３２２１６２３２忽２３３－６３０８７２１３８７７５１

一一一一一一

一二一一

一一・｝

一一一一一一一

０３１８３２０３２５３０２３７６９４０６３６９２７７４７５００７８１２４９０２６３４４８８８２

００２００１１２忽１１２３３２１０３１２１０３２１００１１００１０１０００２１０２１３１０００

□。■。①●●巳■●■ロ●□印ｃ●●の●●□■●●●●●●●●■●●●●●●■□●●●●●●■

１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

２７２３７９１１２７９３６６９６２５１０８５２忽５３６８７６．３６４０８８２３９５１８４５３３８

９９８９９８９８８８８８７７７８９７９７８９７ＢＢ９９００９９８９９９９９８８９０８７８０９９

ｏ●●■０●●●●＄●■。ＤＢ■ｃ●●●巴●●●●白白■■●●●、■■■●０●■●●■Ｃ●●●

９５７０７５２１９３７４４７１６８０２９８２４９７５Ｂ６３８６７２４４０８４６２ｚ０００６７５

１０４１０２２５０３２４７７６３１７２５２１９４３１０３３０１３１２００１４２１５３８４１１０

■●●■。●■●●■●●●●●●●■●■■ｑ●●●●●●□■●ＣＯ■●●●■●●●●●●■□●

１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

●■●●巾●■■■●●●●●Ｐ●■□□■０●●●●●巳●●●●■●●ＣＯ■■●●●●●●●■●

２０２００９５６９４７０１９０２８１４４８３５３３６０８０８８０５６２０７６３４９１３９７１０

８３８

３７１２６２３３３２１１．１２４０’２７７１２’５２１１４’５６７７２４６４１

一一

一一一一一

一一

一一

一一

一一一

２７０５２１０１７４７８６５６２７７５１４０７４Ｔ１Ｂ７３６０１２Ｂ０３１５６８６１１６２０５

ｚ２２１１２１００００００２１００００１１１００１忽１００１２１１０２１２０１１０１００２１１

■■●●●●■●●●●●●●●Ｃ●●●●●●□●●●●●■●□●の●●●●。●■●●●●●■印

１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

２８４７９３１９３７３３５０６８４４５０８１４８６２４３７６１０９３３８３５８４４０９５２１７

０７８８８８０９９９９９９８８９９９９９８９９９８８８９９８８９８９８８８９８８９９９９８０８

●。●●■■●■ｃ●◆●のＢ■■■●■●◆●①●●●●●●ｐＣ●●●■■■０●●●Ｃの■●ｃ⑪

佃闘佃塊躯⑪、蛇胆、胆、哩叩窕砿ＭＭｍ郡”加川鯛、仰扣晒叩酬闘鋼顕咀“鋼“、躯扣、麺唖、佃加型

●●●■●●●の■●■。●■●Ｏ●●●■□■。①●●■●●●●●●●■◆●●□ｑ●●●●■●●

１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

■巳□◆●●●●●●●●。①●●●●ＯＳ●の●●●●●●●■□●●⑪●●●●●の●□あの●ロ●

７７９０３３７１９５３５１３１７２０７３９４１３３７１８７０３０３４２２３８２９０５１３２１９

４１１２１２５２１６６１７７２７１’２１１０１３・７１３１ｌｚ１７－２６１４６７１

－』一一一一色一一一一一

一｛

二一一

一一一二一

StrainAnalysisofKayoFormationaroundTeniya-zaki 1７１

’’○・』囚脛一

Ｖ●｜ｚ｜｜やログＲ

ＸｌＹｌｌｖ●工Ｒ Ｒェ，－１

(Ｒｘｙ－１）２十（Ｒｙ＠－１）２。＝Ｒｙｚ－１

`風Ｒｊｗ(仏凡，)２＋（8,Ｒ,鬮)２Ｅ１２＝‘。Ｒ１，，Ｅ２３＝ＡＲｙ２，ルー Ｄ＝

ＬＲｙ２

１－Ｋ，〃＝＝ＥＳ

ｌ＋K

soid．Ｙ：lengthofilutermediateTable4ValuesofstraineuipsoidX：Iengthoflongaxisofstrainellipsoid．Ｙ：lengthofilutermediat

…｡fstraineⅡipsokLZ:lengthofsh｡…so…in｡ⅡipsoidR…xi…i｡｡…､(+ＬＬ…iaI噸Moof…､(き)Meanimgsofth…he蕨……風…f…｡‘｡…

ＴｈｅＦｌｉｎｎｄｉａｇｒａｍｉｓｓｈｏｗｎｉｎＦｉ9.5．Ｗｅｃａｎｓａｙｆｒｏｍｔｈｅｆｉｇｕｒｅ，

(1)Ｔｈｅｍａｘｉｍｕｍｖａlueofstrainintensitydis0.6ａｎｄｔａｋｅｔｈｅｖａｌｕｅｒａｎｇｉｎｇｑ３ｔｏ

Ｏ４ｆｒequentlv・Thesevaluesindicatethatthedeformationoftheareawasweakerthan

theotherfoldedarea，ｆｏｒexample，theAlps．

(2)Thenumberofstainellipsoidwhichbelongstotheprolatetypｅｉｓ２５ａｎｄｔｈａｔｏｆ

ｏｂｌａｔｅｔｙｐｅｉｓ２２・Ａｓｔｈｅｙａｒｅｒｏｕｇｈｌｙｔｈｅｓａｍｅｎｕｍｂｅｒ，wecannotsaywhichtypeofdeformationwasdominantinthearea・

Thedistributionofprmcipalaxesoｆｓｔｒａｉｎｅｌｌｉｐｓｏｉｄｉｓｄｒａｗｎａｓｔｈｅｌｏwerhemisphe塵

proｊｅｃｔｉｏｎｏｎｔｏｔｈｅＳｃｈｍｉｄｔｎｅｔｉｎＦｉｇ６，ＷｅｃｏｌｌｅｃｔｓｏｍａｎｙｓａｍｐｌｅｓｉｎｔｈｅａｒｅａＡａｎｄBthatwedrawthedistributionofprincipalaxesintheseparatesheets,ｔｈａｔｉｓ,ｉｎFig.７

ｆｏｒｔｈｅａｒｅａＡａｎｄｉｎＦｉｇ､８fortheareaBThedistributionofZLaｘｉｓｏｆａｌｌｔｈｅｓｔｒａｉｎ

ＢｍＰｌＱｎｕｍｂｅｒ｡ Ｘ Ｙ Ｚ R且7 Ry■ ｋ 。 Ｇ3コ ど■。 Ｘ 、 ご■ ソ

１２３４５６７８９０１ｚ３４５６７８９０１２３４５６７８９０１２３４５６７８９０１３３４５６

１１１１１１１１１１２２２２２２２２２２３３３３３３３３３３４０４４４４４

７４

叩姻蠅呪呵皿唖刎皿唖呵岬恥唖蠅躯恥噸皿輌蠅蝿呵螂卿蠅函””蠅叩、”恥唖蠅卿、”唾”狸噸魍四ｍ”

□■■■■ｑ■。●◆●●●●■ｑ■■守■■■●■●●■●●●■■■■■□◆。●●▲■●●■■●

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郵麺皿陣呵郵郵斬鉦蠅郵繩犯蠅蠅釦加鋤唖汕池蚫獅哩沈羽、率唖山泗皿蠅噸麺獅麺加蠅翻刺翠麺鋼麹郡“

１１１１１１１１１１１１１１１１１１１１１１１１１１Ｌｌ１１１１１１１１１１１１１１１ｌ１１１

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．Ｂ０３

．Ｂ５３

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．７，０

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．７７１

．９１７

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．８５１

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５７８６３７５６６１０４６５５６８５８剋１７１５５９３１４５５２６７４８８８７２９６５２２３６

印顕鎚叩肌蚫、加個醒牽師出師鋼如回四巫油調四訓皿犯巫姻頚犯加遮血醗嘔、畑狸””Ｍ銅顕ｕ伯諏姐氾

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１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１１

１．１３コ

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１．１８７

１．２８３

1.130

１．３２６

１．３Ｍ

１．２６１

１．２３３

１．３８９

１．２７８

１．４７１

１．３６４

１．１４２

１．Ｚ3８

１．１３０

１．０６４

１．０８３

１．１３２

１．１６０

１．２５２

１．００１

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１．１２３

１．０９３

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１．３８９

１．３７７

1.033

１．１１５

１．０３９

１．２１０

１．２２８

１．３５９

１．３０２

１．３２Ｂ

１．０９３

１．IBD

１．４９５

１．１１６

１．．５２

１．４３，

1.025

３．８０３

２．５９３

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４．６１２

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６．９３６

１．３７３

Ｍ．５４８

．０７２

１．００４

．２４１

．２５３

．４３２

6.098

１．３５１

．２３２

０．２５０

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，378

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詑狙切的諏酩印印叫的砲門叩”ｎ個砲到則乘“皿鯛狙叫舶狸砺咽鋼咀””蝿““魏醐認師而旧姻噸妬加“

５３０２１４３６４３３０４５４２１５１３４Ｚ５３３３３３２２４３２１５２３３３３５３５５４４１

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０２３００２１３３１２０１４２１１１１２３１２１３２０２１０１１２１４１２００１０２１４３１１

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唖唖、繩幽魂躯麺釦叩洲繩、麹洲埋唖釦翻蝿鐇叩率砿唖蝿辨皿唖麹坪迦哩唖魎魎燕麺翻翻函、哩蠅錘郵唖

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、348

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１．７２５

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．９１６

．１０５

．５５１

３．０．１

１．３５０

１．５２６

2.079

◇４５３

．９８８

1.673

Ⅱ､４０７

４．０８５

､９３１

．３８１

4.062

ユ．６１３

．２８５

Ｚ、12⑥

１．８９０

.O】０

．３８５

．３３ａ

０．３５Ｕ

１．３４６

１１．７５Ｂ

，０８３

１．００４

．２７１

．２８２

．４０７

5.049

1.3Ｍ

．２７０

３－９５②

、７９７

．４２１

６．００３

”麺麺燕哩仰郵燕岬剰麺趣郵州麺翻幽組噸麺郵皿靭麺唖迦卸魂皿却麹郵珂哩岬麺獅、迦池純郵、岻錘麹塊

●□■■■●■●■。■●●■●●■Ｓの●し●①■■■口ｓｏ●■■■□■□Ｐ●句ＣＯ■●■』●●

汕麺洲繩皿皿迦哩蠅泗釦蠅池癌鍼麺蠅岬、翻鎚輝函坤翻郵麹麺唖獅麹郵皿皿麹鈍鈍鈍麺麺繩遜翻”郵遜、

●●●●●●●●●⑪●●●。●●●●の●●●■●■ロロ■■ｃｃ●●ｓ●●■ＰＣ。●◆■■■Ｇ■

３２６３４２７９６６４８０８ｇ８０６６ｆ９５８Ｂ５４８０８９４２８８３２忠０００９８０１３７７

麺⑪加媚胆叩躯嘔麺細則舶額“川抑顕諏皿顕畑飽頤抽加、髄鍋如⑪州、花川印砺叩研卵顕加、師町皿扣加

■■□■■■■□００■●⑪ｃｃＣ●●●●●。●●■●▲●■■■■□●■■■□●の己●●●巳■■

一・■』。』。』Ｃ』。』。『一一

DaigoroHAYAsHl・SotaroBABA1７２

XﾉＹ

ぅ◎■

1.5

ｇ”⑦

曰●ｆｑ

１

ＷＺ

Fig.５，ＦlinndiagramOpencircle8sclmpIeSCCI]ectedfromhingepart，SoIidcircle：samplescollectedfromlimbpart

ellipsoidsisillustratedinFig9・AstheZaxesareseenrandomlydistributed,weconsider

thattherearenotendenciesaboutthedirectionofZaxeswhicharenotclassifiedbut

asawhole、Table5indicatestheintersectangleofeverytwoprmcipalstrainaxes，Ｘ

ａｎｄＺＹａｎｄｚａｎｄＺａｎｄＸＴｈｅａｎｇＩｅｖａｌueexceedinglO゜differencefrom90･ｉｓｓｅｅｎ

ｉｎｔｂｅｓａｍｐｌｅ９（intersectanglebetweenZandX＝78.1゜）ａｎｄｓａｍｐｌｅｌ３（intersect

anglebetweenYandZ＝78.9゜）．Wethinkthatthewobbleofintersectangledependson

theincompleteorthogonalcoordinatesystem兀爽・Ｉｎｆａｃｔｔｈｅｉｎｔｅｒｓｅｃｔａｎｇｌｅｏｆｚａｎｄェ

ｗｉｔｈｒｅｇａｒｄｔｏｔｈｅｓａｍｐｌｅ９ｉｓ６５､5゜ａｎｄｔｈａｔｏｆエａｎｄｙｆｏｒｓａｍｐｌｅｌ３ｉｓ７８０ｏ，ｗｈｉｃｈ

ｍｕｓｔｂｅ９０゜ｉｆｔｈｅエァsystemisorthogonaL

１，.ｅｘｏｆＳｙｍｍｅｔｒｙ

Ａｓｔｈｅｓｔｒａｍｍａｒｋｅｒｉｓthequartzgrainofsedimentaryrock，thereisapossibility

thatthestrainmarkerhasaninitialfoliation，inotherwordsinitialpreferredorientation・

Weknowwhetberthestraimmarkerhasapreferredfoliationornot，byexaminingthe

symmetryoftheR〔/＃ｄｉagram（Lisle，1985)．Thesymmetryisdescribedbythe”indexofsymmetry”（abbreviateditasLy”hereafter）．Ｔａｂｌｅ６ｓｂｏｗｓｔｈｅｖａｌｕｅｓｏｆ恥，

calculatedoneachsectionplaneofthesamples・ＡｓｍａｎｙｖａｌｕｅｓｏｆＬ,風ａｒｅｏｖｅｒｑ８ｉｎ

Ｔａｂｌｅ６，weconcludethatinitialmarkersofquartzgrainarerandomlyoriented・Inorder

toperformmoredetaildiscussion，ｗｅｕｓｅＴａｂｌｅ４１ｏｆＬｉｓｌｅ，ｓｂｏｏｋ（Lisle,1985,pl5)．

LislecalculatedthevaluesofI…ｗｈｅｒｅｈｅｃｈａngedintensityoftectonicstrainL5,2.0,

3.0,5.0ａｎｄ10.0,andchangedthesamplesize20，３５，６０，１００and200whereinitial

markersarerandomlydistributed、Heobtainedthecriticalvaluesof心圃ｆｏｒ５％ａｎｄ

10％ofthelevelofsignificance・Ｆｏｒexample，ｗｉｔｈregardtothetectonicstrainR＝１．５

StrainAnaIysisofKayoFormationaroundTeniya-zaki 1７３

圭髻rli③④催勘

鰈②

升什

6つ（、／

④砂

Ｂ囑弘鋼

②

i≦'碁Ti二Ｖ、二mm!＆Zn）

Ａ

診 ②

ZarCtheprincipalstrain

theXZsectionofstrain

andBareillustrateｄｏ、

Fig.６．DistributionofstrainellipsoidCircleistbeSchmidtnet、XYand

axesprojectedonthelowerhemisphereofthenet・Ellipserepresents

ellipsoid．＊meanstbesamplecolIectedfrom］imbpart・TheareasA

theseparatefiguresbecａｕｓｅｏｆｔｈｅｉｒｌａｒｇｅｎｕｍｂｅｒｏｆｓａｍｐles．

⑨⑫

②

②⑭小

Ｆｉｇ．７．DistributiomofstrainellipsoidiｎｔｈｅａｒｅａＡ・OtherexplanationsaresameasinFi9．６．

DaigoroHAYAsHI・SotaroBABA1７４

鈴

△

ｌ

ノノミ 巴

ｕｕ６

２０ｍ

Ｆｉｇ．８．DistributionofstrainellipsoidiｎｔｈｅａｒｅａＢ，OtherexpIanationsaresameasinFi9．６．

Ｎ

Fig.９．Zaxesof47strainellipsoidsprojeｃｔｅｄｏｎｔｈｅＩｏｗｅｒｂｅｍｉｓｐｈｅｒｅｏｆｔｈｅＳchmidtnet、Solid

circle：samplecollectedfromlimbpart，OpencircIe：sampIecoIIectedfromhingepart．

StrainAnalysisofKayoForlnatiｏｎａｍｕｎｄＴｅｎｉｙａ･zａｋｉ 1７５

Table５．１，te鱈ectanglebetweenanytwoprincｉｐａｌｓｔｒａｉｎａｘｅｓｏｆＸＹａｎｄＺ

ａｎｄｔｈｅｓａｍｐｌｅｓｉｚｅ〃＝l00inthelevelofsignificanＣｅ５％，ｗｅｆｉｎｄｏｕｔａｃｒｉｔｉｃａｌｖａｌｕｅ

ｏｆＩ…0.74．Ｔｈｉｓｍｅａｎｓｔｈａｔｗｅｈａｖｅｏｎｅｃｈａｎｃｅｔｏｇｅｔｔｈｅｖａｌｕｅｕｎｄｅｒ0.74ｏｆＩ…

intotal20challengesandthereforewejudgethatthiscasewillhappenrarely､Ｗｅｄｅｄｕｃｅ

ｔｈａｔｉｆｔｈｅｖａｌｕｅｏｆＩ…ｉｓｏｖｅｒＯ７４，thedirectionoflongaxisofinitialmarkersis

randomlydistributedinthelevelofsignificance5％、Thismeansthattherewerenoinitial

fabricsintheareaconcerned・ＴｈｅｃｒｉｔｉｃａｌｖａｌｕｅｏｆＬｖｍｆｏｒＲ＝1.5ｉｓ０．６（samplesize

"＝60,5％Ｌ､0.ｓ.＝levelofsignificaInce）ａｎｄ0.74（､＝100,5％Ｌ０．ｓ.）fromtheLisle'ｓ

Table4.1．ＷｅｈａｖｅａｐｌａｎｅｗｈｅｒｅｔｈｅｖａｌｕｅｏｆＬｙmisunderthecriticalvalue，ｔｈａｔｉｓ，

ｗｅａｒｅｂｅｔｔｅｒｔｏｔｈｒｏｗａｗａｙｔｈｅｓｔｒａｉnanalysisontheplanebecausetherewasinitial

fabricontheplane・Ｔｈｅｐｌａｎｅｆｉｔｔｏｔｈｅｃａｓｅｉｓ４３－ｊＦｙ（〃＝74,Ｌ，函＝0.65)．Inthe

conditionR>1.5,wehave22planesasfollows、６旨"ｙ（Ｒ＝1.53,〃＝39,Ｌ画＝0.92)，11-:ｒｙ

(Ｒ＝1.64,,,＝６８，１sy風＝0.94)，12-ｊｕｙ（Ｒ＝1.51,打＝71,Ｌｙｍ＝0.93)，21-難ｙ（thevalues

ofR,〃ａｎｄＬｍａｒｅｒｅｆｅｒｒｅｄｔｏＴａｂｌｅ６，hereafter)，32-.6,1,35-範洗40-郡41-灘弘44-jUjI

BnmplenHnmlL9r X負Ｙ・ Y▲Ｚ。 ZへＸ・

１２３４５６７８９０１２３４５６７８９０１２３４５６７８９０１２３４５６７８９０１２３４５８７

１１１１１１１１１１２２２２２２２２２２３３３３３３３３３３４４４４４４４４

８３０３８１９２８３１９７５９５６７３０３７０１１０７６６４４０４００４４１９２６３６６９７８

０■■０■■■ＤＢＢ■●■ＣＯ巳、■０、■■●Ｂ●●Ｂ●●ＤＣｐ●●●●●■●●●●の●●●●

９８４１８９２９３４４７３８９１４７８１１１００８９１００４７１４２０８９２０７０５９９０９１

８８９９９８９８９９９８９８８９９８８９９９９９８８９９９８８９８９０８８９９８９８８８９８９

８８１９７８３３４２９４９６９９５１５７２０８３３６８４９９８３９７１４０４７０６３１６３３７

，●●●●■白●●■●●■●●●●●。●●●ＣＣＯ●●●●●Ｐ●●●●●●●●●■●①０●●①

８０３７５８０１１２９９８９４８０３３９９８９０８３０８０１７８８０３０９０８４６９１７２９３

８００８８８９９９９８８７８８８９８９８９８８９８９９８９８８８８９９８８９８８８８９８９８９

７０６８１１３２１３９１９９３４９９２１４１２５７８４０２０５５４０７８５８６３３４０３１９７

●■●●●□わ●■●●●●●●●のの●●●●●□●の●■ＣＯ□●●□■●０日●●ＣＤ●●ＤＣ●■

０９４７６０７０８２９６６８７６５３８８５８９０７３０００１５９５０８８８８８６０８１０５７３

９８９８８０８９７９８９８８８８８９８８９８８９８９９９９９８８８９８８８８８９９８９９８９９

DaigoroHAYAsHl・SotaroBABA1７６

46-jUyi8-”13-yz，14-”，１５－yz，１８－yz，20-”，23-y室，41-y島43-y2r，２－率，14-率and

31-z必.AsthecriticalvalueofL“ｆｏｒＲ＝2.0ｉｓ0.73（"＝60,5％Ｌ・ＯＳ.）ａｎｄ0.80（"＝

100,5％Ｌ・ＯＳ.)，ｔｈｅｖａｌｕｅｓｏｆＬｙｍ,ｏｆ２２ｐｌａｎｅｓａｒｅｈｉｇｈｅｒｔｈａｎｔｈｅｃｒｉｔicalvalue・

Therefore，therewerenoinitialfabricsonthe22planes．

InitialMakerEUipse

TheinitialmarkerellipsesarerestoredfromboththemarkerellipsesandthestrainellipseforeachplaneTheimportantparametersarealsoshownonTable６．The

parametersRandiaretheaxialratioofstrainellipseobtainedｗｉｔｈＳＩｍｅｔｈｏｄａｎｄ

ｔｈｅａｎｇｌｅｏｆｌｏｎｇａxｉｓｏｆｔｈｅｓｔｒａｉｎｅllipsefromthereferenceline・Theparameter＃ｉｓ

ｔｈｅａｎｇｌｅｏｆｔｈｅｌｏｎｇａｘｉｓｏｆｔｈｅｓｔrainellipseobtainedwiththeRI／jmethod(Vector

meanofangleofallthepointｓｉｎｅａｃｈＲＩＭｄｉａｇｒａｍ）fromthereferenceline・The

parameterI…ｉｓｔｈｅｓｙｍｍｅｔｒｉｃｉｎｄｅｘａｎｄｔｈｅ，'size厨isthenumberofmeasurement・Ｔｈｅ

parametersソ，凡，ＸやａｎｄＸ２８ａｒｅｔｈｅｄｅｇｒｅｅｏｆｆｒｅｅｄｏｍ，axialratioofstrain

eUipseobtainedwiththe8curvemethodbyLisle（1985)，Ｘ２－ｖａｌｕｅａｔｔｈｅＲ《／‘

diagramandX匙ｖａｌｕｅａｔｔｈｅＲ/,diagram，respectively・ＴｈｅｖａｌｕｅｓｏｆＸぎゆandX20

arecalculatedusingtheFORTRANprogramdevelopedbyPeachanｄＬｉｓｌｅ（1979).Asthe

valuesofaxialratioofstraiｎｏｂｔａｉｎｅｄｆｒｏｍｔｈｅｓａｍｐｌｅｓｉｎｔｈｅａｒeaarealmost

underthevalueL5,wedonotrecognizesignificantchangesonthefeatureanddistribution

ofthestrainmarkersofmanysamplesbeforeandafterdeformation・

FigurelOindicatesthefrequencygraphoftheaxialratioofinitialmarkerellipse

Rl、Figurellillustratestherosediagｒａｍｏｆｔｈｅａｎｇｌｅ０ｂｅｔｗｅｅｎｌｏｎｇａｘｉｓofinitial

markerellipseandthereferencelinewhere工払ｙｚａｎｄ鉱planesarearrangedfromthe

lefthaｎｄｓｉｄｅｔｏｔｈｅｒｉｇｈｔ・ThefrequencydiagramofR，ｉｓｓｈｏｗｎｉｎＦｉｇ・１０wherethe

valuesofR1arecalculatedｆｏｒｔｈｅｄｉｖｉｄｅｄ４０ｐａｒｔｓｏｆＯ,１intervalsthroughoutthe

rangeLOt０５．０．Thenumberofmarkerisrepresentedbythepercentageoftbetotal

numberofmarker・Thepercentagevalueisplottedasthefrequencyonordinatewhere

onetwentiethofthelengthofabscissabecomes1％、FigurelOshowsthatthedistrｉｂｕｔｉｏｎ

ｏｆＲｉｏｆｍａｎｙｓａｍｐｌｅｓｆｏｒｍｓａclusterbetweenl.Ｏｔｏ2.0．Thedirectionoflongaxisof

initialmarkerellipsesisrepresentedonｔｈｅｒａｎｇｅｂｅｔｗｅｅｎＯ・ｔｏｌ８０・ｉｎＦｉｇ．１１．Ｔｈｅ

ｎｕｍｂｅｒｏｆｔｈｅｄｉｒｅｃｔｉｏｎｏｆｌｏｎｇａｘｉｓｉｓｃｏｕｎｔｅｄｆｏｒｔｈｅｌ８ｐａｒｔｓｏｆｅａｃｈｌＯ゜intervals

andisdescribedintheforｍｏｆｐｅｒｃｅｎｔｏｆｔｈetotalnumberofmarker・Thepercentage

numberisplottedasthefrequencyforeverydirectionaｓｔｈｅｌｅｎｇｔｈｏｆ１％beComesone

fortiethofthediameterofcircle・

ThefrequencydiagramｏｆＲｉｎｔｈｅａｒｅａＡｉｓｓｈｏｗｎｉｎＦｉ９．１２ａｎｄｔｈｅｒｏｓｅｄｉａｇｒａｍ

ｏｆｌｏｎｇａｘｉｓｏｆｉnitialmarkerellipseintheareaAiｓｄｒａｗｎｉｎＦｉｇ．１３．Thefrequency

diagramofRandtherosediagramoflongaxisofinitialmarkerellipsewithregardto

theareaBareillustratedinFigs､１４ａｎｄ１５，respectivelv・

Table7sbowstheparameters,”stハウ…,β…Ｒﾉﾊ．ａｎｄＲｉ…ａｎｄｔｈｅｙｍｅａｎｅｘｃｅｐｔｆｏｒ

"s〃，，thevectormeanangleofp，ｖｅｃｔｏｒｍｅａｍａｎｇｌｅｏｆ８，ｈａｒｍｏｎｉｃｍｅａｎｏｆＲｉａｎｄＲｉ，

respectively、Theparameter“Ｗ'，isthenorthemdirectionofstrikeofbefore

deformationmeasuredfromthedirectionofthestrikeafterdeformation・TheRIMand

RJ0diagramsaredrawｎｕｓｉ､gtheparametersdescribedonTable７．Wedecidenotto

showthediagramsR,/ｊａｎｄＲｉ/Ｆｂｅｃａｕｓｅｉｔｇｉｖｅｓｎｏｐｒｏｆｉｔｔｏｕｓ．

StrainAmalysisofKayoFomlationaroundTeniya-zaki 1７７

Table６．Resultsoftwodimensiona】strainanalysis、Anglesaretakenanticlockwiseaspositive・R3

axialratioofstrainellipsecalculatedwithSImethod．①：anglemeasuredfromtbenorthem

directionofstrikeofafterdefomlatiｏｎｔｏｔｂｅＸａｘｉｓｏｆｓｔｒａｉｎｅｌＩｉｐｓｅｃａｌcuIatedwithSIInethod．

‘：vectorｍｅａｎｏｆａｌｌｔｈｅｄａｔａｐｏｉｎｔｓｉｍｔｈｅＲｆノゥdiagram・Theanglejtakesideallythe

samewLlueof｡Ｌ画:indexofsymmetryafterLisle・傘e:samplesize・し:degreeoffreedom

inthe8curvemeth０．.Ｒｏ：axialratioofstraineⅡipseobtainedwiththe8cuwemethod．Ｘや

：Ｘ鰹vaIuecalculatedfromtheR,/‘diagram・Ｘ２８：X2valuecaIcuIatedfromtheRJ8diagram．

１３５

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ｴﾛｧ■ ロ可症② ソ Ｒ■ ｒａｄ 正zｅ

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７１７７７７７７７７７７７１７７７７７７７７７７７７１７１１７７７７７７７７７７７７７７

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AvemgedlnitialEllipse

AccordingtoShimamotoandlkeda（1976)，ｔｈｅｃｌｏｓｅｒｔｈｅａｘｉａｌｒａｔｉｏＲｉｏｆａｖｅｒaged

ialellipseistobeunity，ｔｈｅｍoreprecisethestrainanalysis（axialratiooftectonicinitialellipseistobeunity，themoreprecisethestramanalysis（axialratiooftectonic

strainR,anglebetweenthelongaxisofstrainel1ipseandthereferencelineα）ｉｓ・The

closertheabsolutevalueofanglell-albetweenthedirectionａｏｆｌｏｎｇａｘｉｓＸｏｆ

ｓｔｒａｉｎｅｌｌｉｐｓｅａｎｄｔｈｅｄｉｒｅｃｔｉｏｎＯｏｆｌｏｎｇａｘｉｓｏｆｔｈｅａｖeragedinitialeJlipse，themore

precisethestrainanalysis（R,α）ｗｉｔｈｒｅｇａｒｄｔｏｔｈｅｓａｍｅｖａｌｕｅＲｉ，Table8sbowsthe

valuesofFi,｡〃。ｌターα’（indicatedasjinTable8）ofthesamplesinthepresent

area、ＴｈｅｍａｎｙｖａｌｕｅｓＲｉａｒｅｃｌｏｓｅｔｏｌ・O00wherethedeflectionfｒｏｍｔｈｅｖａｌｕｅＬＯＯＯｉｓ

ｔｈｅｏｒｄｅｒｏｆ0.001．ＩｔｍｅａｎｓｔｈａｔｔｈｅｖａｌｕｅｏｆｓｔｒａｉｎａｘｉalratioRispreciseemoughin

thepracticalsense

Figurel6showsthegrａｐｈｏｆＲｉａｎｄｔｈｅｓａｍｐｌｅｓｉｚｅ・AlthougｈＳｈｉｍａｍｏｔｏａｎｄｌｋｅｄａ

(1976）saidthatthenegativerelationbetweenRiandsamplesizewasexpected，were-

cogmizenoclearrelationshipsbetweenthem．

FoIiationandXYPlane⑪fStminElIipSoid

ThebeddingfoliａｔｉｏｎａｔｔｈｅｓａｍｐｌｉｎｇｐｏｉｎｔａｎｄｔｈｅＸYplaneofstrainellipsoid

calculatedfromthecollectedsamplesaredｒａｗｎａｓｇｒｅａｔｃｉｍｌｅｓｏｆｌｏｗｅｒｈｅｍｉｓｐhere

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▼

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StrainAnalysisofKayoFormationaroundTeniya-zaki 1８１

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DaigoroHAYAsHI・SotaroBABA1８２

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⑥

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StrainAnaIysisofKayoFomlationaroundTeniya-zaki 1８３

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1.010

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numberofmeqsurem臼11ｓ

０

Fig.１６．DiagramoftheaxialmtioRiofaveragedinitialelIipseandthesamplesize､ThetotaIplottednumberoftheaveragedinitialeⅡｉｐｓｅｓｉｓ４７ｘ３＝１４１

DaigoroHAYAsHI・SotaroBABA1８４

Table７．IndexvaluesintheRIﾉｳａｎｄＲ,/０diagram・Theanglesindicatedhereafteraremeasured

fromthenortherndirectionofstrikeofafterdeformation、Anglesaretakenanticlockwiseas

poslitives灯：northerndirectionofstrikeofbeforedeformation．＃…：ｖｅｃｔｏｒｍｅａｎｏｆ抄．poslitive．ｓけ：northerndirectionofstrikeofbeforedeformation．＃…：vecto］Rfmm:harmonicmeanofR1.8…：vectormeanofaR1A風:harmonicmeanofRi.

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DieterichandCarter（1969）ｓａｉｄｔｈａｔｔｈｅＸＹｐｌａｎｅｂｅｃｏｍｅｓｔｏｂｅｐａｒａｌｌｅｌｔｏｔｈｅ

ｗａｇｅｐｌａｎｅａｔｌｉｍｂｏｆｔheisoclinalfoldofthemultilayerfoldsystemOnthecontrary，cleavageplaneatlimboftheisoclinalfoldofthemultilayerfoldsystemOnthecontrary，

theXYplaneandcleavageplaneareobviouslyobliqueeachotherwhenbuｌｋｓｔｒａｉｎｉｓ

ｎｏｔｓｏｌａｒｇｅａｎｄｔｂｅｖｉｓｃouscontrastisgreatbetweeRllaverandmatrixinthesingle

layersystem、Thus，therelatiombetweencleavageplaneandtheXYplaneofstrain

ellipsoidisimportant,butwecannotcorrelatethenumericalexperimentalresultsobtained

byDieterichandCarter（1969）ｗｉｔｈｔｈｅ］argescalenaturalfolds，becausewefoundno

cleavagesintheｈｏｍｏｃｌｍａｌｐａｒｔｗｈｉｃｈｉｓｔｈｅｌｉｍｂｐａｒｔｏｆｔｈｅｌａｒｇｅｓｃａｌｅｆｏｌｄｉｎｔｈｅａｒｅａ．

(2)Thestrainvalueobtainedbythestrainanalvsisusingquartzgrainmarkerissmall

comparedwiththatoftheotherfoldedarea，ｆｏｒexample，ｔｈｅＡｌｐｓTheprincipalvalue

ofstraineIlipsoidismuchsmallerthanthevalueexpectedfromthegeologicalstructure

(Hayashi,1988,1989）Oneofthereasonisalargecompetencycontrastbetweenfolded

layerandmatrix・Thereasonofsmallstrainvaluedoesnotdependonthenonconsolidatioｎ

ｏｆｓｔｒａｔａｔｈａｔＨayashi（1988,1989）forecasted，becausetheXYplaneofstrainellipsoid

isroughlydisposedparalleltｏｔｈｅｂｅｄｄｉｎｇａｎｄｓｏｔｈｅＸＹｐｌａｎｅｒｅｆｌectsdeformation

lfthestrataissoftandnotyetconsolidated，quartzgrainsarenotdeformedbutonlv

rotatedThestrataofsocalledShimantotypealternationofsandstoneandmudstonelike

theKayoFormationwassufferedtectonicmovementundertheconsolidatedconditioｎＷｅ

StrainAnalysiSofKayoFormationaroundTeniya-zaki 1８７

Table８．Ｖa】uesoftheaveragedinitialelIipse．ｓ礎ｅ：samplesize．Ｒ，：axialratiooftheaveraged

initialellipse.⑩（＝｜ターα｜）：absolutevalueofthedifferencefrｏｍｔｈｅｄｉｒｅｃｔｉｏｎｏｆｔｈｅ

ｌｏｎｇａｘｉｓｏｆｔheavemgedinitialellipseandtheIongaxisofstrainellipse．

ｗｏｎｄｅｒｗｈｙｔｈｅｖａｌｕｅｏｆＥ，takesalwaysaroundO2(0.1-0.5）whenweanalyzethestrain

usingthequartzgrainasstrainmarker・Ｔｈｅｖａｌｕｅｏｆｅ､showssimilarquantitytothat

obtainedfromthesampleofthemetasedimentscollectedfromtheMidlandzoneintbe

NepalHimalaya・ＴｈｅｐａｒａｍｅｔｅｒＥｏｉｓｔｈｅａｍｏｕｎｔｏfstraindefinedbyNadai（1963)，and

isth…Iuemultipliedth…ahedralunitshoarγ⑭by県Wec･nsiderthatthe…･ﾛｏｆｌｏｗＥｏｖａ]uedependsonthecompetencycontrast．

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