島駅歩eri dl恐銑島r 2008 w153 6sn 1019 -...

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島駅歩 ERI Dl恐 銑島 R 2008 W153 6SN 003 BAZI KAYA BIRINIILERININ NOKTA YUK DIGER MALZEME OZELLIKLERIILE I Yavuz GUL,Atilla CEYLANOGLU ε .び .,Ma`セ ″ル ″力 `4α お′ ル″″ ,Sル α s/7′ ` OZET:B′ Jゞ αたα ρ ′″グα ,グ ι ごな 'た たα αわ ir,″ `r′ ,4“ θた′α 功たノι ` グα α′ι ノα″ι ttι Jんθ `′ ικ者 ∫′ッιグ ,ど ι′″α′ ι∂ jた セ″′ ,ノθ J′ J′ι グ′″′′ `sJ α″α 4“ J∫ ′″・ σ α′ι ξ αん夕ι ′αα″θた″ た′ι ιグα α ι J′ `わ α FiZJttι ′νι″ιたα 7tiた δ z`′ Jた ノι′ `S14da θκ′α ι θ′グ タた たたθ″ι′α∫ θκ′ ″′′ J′ `7・`ldC ιグ J′ ηっ jr・ POINT LOAD STRENGTH OFSOME ROCK RELATIONS WITH OTHER pllATERIAL ABSTRACT : Within the scope of this study, it was aimed to investigate point load strengths of dffirent rock units and to relate with other material properties. Good relations with high correlations were obtained between point load strength and some p hy sic al and mec hanical prop erti e s. 419

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さ:δ島駅歩ERI Dl恐

銑島R 2008 W153 6SN 1019■ 003

BAZI KAYA BIRINIILERININ NOKTA YUKLEDIIE DAYANIPILARI VEDIGER MALZEME OZELLIKLERIILE ILIsKILERI

Yavuz GUL,Atilla CEYLANOGLUε.び.,Ma`セ″ル「″力

`4αお′な′Bδル″″,Sルαs/7′滅″

`

OZET:B′ fα′Jゞ“αたαρsα

“′″グα,グιごな

'た

たαッαわir,″′`r′

れ,4“θた′αッ功たノι“̀グαッα′ι

“ノα″ιttι ′Jんθ

`′

ικ者4ι∫′ッιグ,どι′″α′Zθ“ι∂zι〃jたセ″′,ノθJ′なたJ′ι

“グ′″′′

“̀ sJα″αゞ″4“ J∫′″・σα′ιξ

“α Sθん夕ι

“′αα″θた″ッ

“た′ι

“ιグαッα4ι

“ιJ′

`わαzι FiZJttι ′νι″ιたα7tiた

δz`′′Jたノι′̂α′`S14da

θκ′α“′:νι θ′グ

“たfα ッタたsιたたθ″ι′α∫ッθκ′

“″′′∫たJ′

`7・ `ldC ιグJ′ηっjξ′jr・

POINT LOAD STRENGTH OFSOME ROCK UNITS AND THEIRRELATIONS WITH OTHER pllATERIAL PROPERTIES

ABSTRACT : Within the scope of this study, it was aimed to investigate point loadstrengths of dffirent rock units and to relate with other material properties. Goodrelations with high correlations were obtained between point load strength and some

p hy sic al and mec hanical prop erti e s.

419

1.GIRIs

Nokta yuklemc dayanlml, kolaybelirlenebilirlitti ile kaya birimlerinin

tanlmlanmasl ve siniflandlrllnlasinda

slk9a kullanllan ёnelllli malzemc

ёzeHiklerinden biri olmu§ tur・

Nokta ytiklcme dayanllnl deneyi lki

konik u9 araSlna yerle§ tirilen kaya9

ёrneLinin yuk altinda klrilma esasina

dayanmaktadlr.Bu deney sonucunda iki

konik u9(platCn)arasina slkl§ tlrllan kaya9

ёrneЁ inin yenilrllc yuku ve bOyutlarl

kullanilarak, nokta yuklcme dayanllnl

indcksi hesaplanmaktadir(ISRM,1985).

Nokta ytiklcmc dcncy alctinin ta§ lnabilir

ollnasl,deneylcrin hcm labOratuvarda hem

dc arazi ko§ ullarinda yapllabillncsini

Saこ lamaktadlr(sCkil l).

$ekil 1. Nokta yiikleme deney aleti (ELE,

1993)

Maliyeti diiqiik bir deney olmasr ve

hrzlr sonug altnabilmesi nedeniyle, bu

ycintem jeoteknik karot loglamasrnda ve

bazr kaya ki.itlesi srnrflama sistemlerinde

dayanrm parametresi olarakkullanrlmaktadrr. Ayrrca nokta yiikleme

dayanrm indeksinden kaya malzemesinin

tek eksenli basrnE ve gekme dayanrmlarr

yaklaqlk olarak hesaplanabilmektedir.

420

G1/L,CEyLANOGιび

Bu 9all§ mada, detti§ ik kayabiriFnlCrinin nokta yukleme dayanllnlarl

ortaya konulmus ve diこ er malzeme

ёzcllikleri(fizikSel vc mckanik)araslnda

ili§ ki geli§tirrnek amaclyla basit regrcsyon

analizlcri yaplllnl§ tlr. Bu analizler

sonucunda nokta yuklcmc dayanllnl ilc

malzemc ёzcllikleri arasinda anlamll ve

olduk,a yuksek kOrclasyonlu ili§ kilerin

01duこ u gё由lmu§ tur.

2.cALIsⅣ IADA KULLANILANKAYA BIRIⅣILERIBu ara§ tlmada kunanllan deこ i§ik kaya

biriinlcrinc ait arazi ve laboratuvar deney

SOnu91arl,Cumhuriyct Universitesi Maden

MuhendisliLi Bё lumo'nde bugunc kadar

yapllml§ baZ1 9all§ malardan saこ lanml§ tlr

(CCylanOこ lu,1995;CeylanoЁ lu Vd・ ,1996;

CeylanoЁ lu Ve Duruturk, 1996;Ceylanottlu Vd・ , 1999; G01, 2006;Karaku§ ,2007)。 Arazi 9all§malarl,

jeoteknik tanlml(renk,ayrl§ ma derecesi,

sureksizlik sistcmlcri vc ёzclliklcri),

Schlllidt 9ckici tcstini,nokta ylklcme

testini vc kaya birilnlcrinin sismik

hlzlarinin ё19umunii 19ermcktCdir. Sё z

konusu 9all§malarda, kaya malzemcsinin

bazl fiziksel ve mekanik ёzelllklcrini

belirlemek i9in araziden getirilcn temsili

blok numunelerden alinan karotlar

uzcrindc uluslararasl Kaya Mekanitti

Dernetti'nin (ISRM) ёngё rduttu

standartlara uyularak(ISRM, 1981)

a§ aこ lda slralanan dencylerin yaplldi魅 1

bclirtilinektedir. Bu 9all§ malarda, kaya

kutlc ёzclliklcrini bclirlcmcyc yё nelik

olarak bazl ara§ tlrmacllar tarafindan

yapllan arazi ё19um sonu91ari CiZelge l'

βαzι καックBJ′ ル́ηノι′・プ“れⅣθた″y′た′

`″ι Dαッα′J“ /rv′ ′ッ′Dな

`′

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〃′たノ`′

・メ′′ι′′なたノ″′・メ

伽敬締1動締舞ふ瞥t柵 :

2007).概1■

£鵬:卵識批Iqletme

SttLiSchmidt

踏羅i

Nokta Yuklemc

lsttIそ1品11%

SismlkHlz

(m/sn))lvas ulvnglDemir Agrk lqletmesi

:諄‖IIρ r

52.5

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70.65

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651752718,450

Jarit Maden Tiirk A.g.iivas-.Ulaq SiilestitAg* Iqletmesi

1伽Ⅷ33.6

38.4

36.5638.4

19.67

7.95

73.42

4.69

182613592426970

(angal(dmiir Agrk iqletmesi :獅襟rm

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Emmio首lu Mcrmcr Ltd.§ d.

lゝvas 4 Ylldlz Sivah59.8 60.46

\K Vlermer A.U.livas 4 Sarr Travert"n 47.1 58.32へR I Mcmercilik)iyarbaklr

袴財 |

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50.6

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29.40

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じun McrmerBitlis 6 Bitlis Traverten 40.4 26.00 3970

421

de,kaya mckaniこ i laboratuvar deney

SOnu91arl ise cizelge 2'de verilmektedir.

メ.B'″′772 αII″ノιたわ′′′′・′`″

ι

ノノノVι′tθ″αlllわθ′ル・′ι“ι

Jメ′.Syαα dαjι′″α ittα 77″η:

7ツ Dα″わ`daッ

ακι′2′

ソ.Dθ′αノιゞιた“ι′αソα″″ηι

ソ′.reた`た

“ノゴわα∫ι刀ゞ aaッα′1:″ι

νJメ.υg θたsι 4Jiわαsι

“fdりα′′777′

ッ′′J.Tιた`た

s`4′′グ`/b′

・771αわ′′′″

3.REGRESYON ANALIZI VEDEGERLENDIRⅣ IE

ISRM'nin(1981)tck CkSenli basln9

dayanlmlna gё re zaylf kaya9tan saこlam

kayaca kadar olduk9a geni§ bir dayanlln

arallこ lnda bulunan 29 detti§ ik kaya

birirninin tck eksenli basin9 dayanllnlarl

93.41 kg/cm2 ile 1567.81 kg/cm2 arasinda

deLi§ mcktedir.Benzcr§ ckllde nokta

yukleme dayanlml dcLerlerinin ise 4.69

kg/cm2 ile 181.31 kg/cm2 araslnda olduttu

gorulincktcdir.

Bu 9all§ mada,nokta yukleme dayanlinl

ile ditter arazi ve labOratuvar deney

SOnu91arl arasinda istatistiksel ili§ kiler

ara§tlrllml§ tlr・ CiZelgC l'de verilen kaya

birimlerinin nokta yukleme dayanllnl

deLerleri ilc cizClgc l ve cizelge 2'de

vcrilcn kaya mekaniЁ i arazi vc laboratuvar

deiey sonu91arl(Mincral tane yoこ unluttu,

tab五 birim aЁlrllk,kuru birim a首 lrllk,

toplam porozite,nem oranl,dolayh 9ckme

dayanlml,darbc dayanlml,suda daこ1lma

dayanlinl indcksi, tek cksenli basin9

dayanlml,kohezyon, 19sel surtunme,

Shore sertlitti,SChmidt 9ekiCi Sertlitti,

elastisitc modiilu,PoissOn oranl ve sismik

hlZ)arasinda ili§ kiler geli§ tirmek amacl ile

422

GυL,CEyLAⅣOGLυ

basit regresyon analizleri yaplllnl§ tlr・

Microsoft Excel progralnl kullanllarak

birebir basit rcgrcsyon(doこ rusal,usscl,

cksponansiycl ve logaritinik fonksiyon

yakla§ lmlarl)analiZleri yapllml§ tlr.Bu

regresyon analizleri sonucunda,nokta

yOklcmc dayanll■ 1 1lc dolayl1 9ekmc

dayanlml,suda daЁ llma dayanlml indcksi,

tek eksenli basln9 dayanllnl,kohezyon,

elastisite modulu,shOre sertliЁ i Ve

Schmidt 9ekici sc■ 1増 i arasinda anlamh ve

kabul edilebilir korclasyon katsaylll(r≧

0.70)ili§ kllCr elde edilmi§ tir(cizelge 3).

Beklcndiこ i gibi en yuksek korelasyon

katsaylll ili§ ki tek eksenli basln9

dayanlminda elde edilnli§ tir. Ayrlca nokta

yuklcmc dayanll■ l ile dolayl1 9ekmc

dayanlml,suda daЁ llma dayanlml indeksi,

tek eksenli basin9 dayanllnl, kohczyon,

clastisitc modulu,shOre sertlitti VC

Schmidt 9ckici sertlitti araSinda en yuksek

korelasyon katsaylsl ile sonu91anan

ili§kiler slraslyla seki1 2, 3,4, 5,6,7 vc

8'de dc verilmi§ tir・

4。 SONUcLARBu 9all§ ma kapsanllnda,Cumhuriyet

Universitesi Madcn Muhendislitti

Bёlumti'nde bugiinc kadar yapllml§ bazl

9all§malar arasinda yer alan(CcylanOttlu,

1995;Ceylanottlu vd.,1996;CeylanoЁ lu

vc Duruturk,199α CeylanOこlu vd.,1999;

Giil, 2006; Karaku§ ,2007)ve noktay●klcmc dayanlrnl indeksi O`46 kg/cm2 1lc

148.55 kg/cm2 arasmda detti§ en 29 farkll

kaya birimine ait arazi vc laboratuvar

dcncy sonu91arinin istatistiksel

detterlendirmesi yapllmlstlr.Bu sonu91ar

kullanllarak kaya birirnlerinin nokta

Ccylanottlu Vd・ ,1996;CeylanoElu VC Dumturk,1996;CeylanoЁ lu Vd・ ,1999;Gul,2006;Karaku§ ,2007).

$letme Kaya Birimi4incral Tanl

ЪttuJttu

(gr/Cmヽ

Tabil Biril

A曽 lrllk

(g“m3)

Topl am

Porozite

7o

Ncm価%

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ぶ鵠l

mう

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バヽヽヽいヽきいやミ

いヽき

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くヽミヽミヽいヽ)ヽミミざミ

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iqletme Kaya Birimi Mincral Tan(

r∝uJttu

tr/cm3)

Biri‐lkめ

Tab‐i枷け

Topl an

Porozite

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D:|!1職 ml

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CiZelge 3。 Regresyon analizi sonu91arl.

BaЁlmll

Degiskcn(Y)

Fonksiyon

Turu

E§ itlik

X:Nokta Y●klcme

Dayaniml(kg/Cm2)

Korelasyon

Katsayrst

(r)

Dolayh QekmeDayanrmr, kglcm2

Doこrusal

Logaritrnik

Usscl

Eksoonansivcl

y=0.4623x+31.308

y=26.504*in(x)-42.439

y=57256x05755

v=3049o00089x

0.77

083

0.87

0.72

Suda Daこ1lma Dayanlml

lndeksi(Id-2)(%) Doこrusal

Logaritmik

Usscl

Eksponansiycl

y=0.0466x+95.006

y=3.3582*in(x)+85.218

y=85.499x00357

y=94.872c00∞ 5x

0.52

0.84

0.83

052Tek Eksenli BasrnE

Dayanrmr (kg/cm2) Do首rusal

Logaritmik

Ussel

Eksponansiycl

y=6.7344x+201.8

y=356.76*in(x)‐ 757.84

y=30.794x07269

y=248.27c00H7x

080

079

0.88

0.76

Kohezyon (kglcmz) DottruSal

Logaritmik

Usscl

Eksponansivel

y=1.4854x+90.068

y=86.907*ln(x)-153.71

y=7.2488x0775

y=72.837c00112x

0.66

0.72

0.79

0.61

Elastisite Modilo(Et,GPA DoЁrusal

Logaritmik

Usscl

Eksponansiyel

y=0.4328x+15.629

y=24.147*in(x)-50812

y=1.1545x08656

y=1532c00124x

0.66

0.69

0.87

0.66

Shorc ScrtliЁ i Do首rusal

Logaritmik

Usscl

Eksponansivel

y=0.3835x+37438

y=25.432*ln(x)-39905

y=10.978x0423

y=40.572cO∞6!x

0.84

0.85

0.86

0.80

Schmidt cckiCi SCrtliЁ i

DoЁrusal

Logaritmik

Usscl

Eksponansiycl

y=01298x+42.203

y=7.782*ln(x)+20.166

y=26.198x0164

y=41.794c00027x

0.63

070

0.69

0.62

つ4

И十

20

00

Ю

60

40

20

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y=5,7256x05755

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40 60 80 100 120

Nokta Ylkleme Dり am ml(kg/cm2)

$ekil 2. Nokta yiikleme dayanrmr - dolayh gekme dayantmt iliqkisi.

Gυι,CE(LANOGι υ

seki1 3。 Nokta yukleme dayanlml― suda da魅 1lma dayanlml indeksi ili§ kisi.

426

(S)貧もじ場メoO議

一〓【〓“む

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ぉ0●∽

100

99

98

97

96

95

94

93

92

,l

90

89

88

87

40 60 80 100 120

Nokta YtkLme Day社lml(kg/Cm2)

y=3.3582Ln(x)+85.218

y=30.794x° '269

r=088

00

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00

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00

00

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νY

にな

一日

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40 60 80 100 120

Nokta Yむ kleme Dttalnllnl(k3/Cm2)

Bα′′καッα3J′・J″

'′ `′

・′″′′7 1Va々″ ン17た′ι″ι Dαyα′,771′α″・ιソ′D′fι′・Ma′z′

“`Ozι′′Jたノ′′・′〃′ノ′なたJ′ι″′

$ekil 4. Nokta yiikleme dayanrmr - tek eksenli basrng dayanrmr iligkisi.

450

400

350

300

250

200

150

‐00

50

0日oヽ

こLoそo〓oV

40 60 80 100 120

Nokta Yuklemc Dayanll■ 1(kg/Cm2)

y=7.2488x°775

r=0.79

$ekil5. Nokta ytikleme dayanrmr - kohezyon iliqkisi.

427

Gσι,CEyLA/VOGLυ

y: I'1545x08656

r': 0.87

官無0

.^銀)一事つoΣo゙一∽軍詮扇

60 80 100

Nokta Ylkお me Dり animl(kg/Cm2)

$ekil 6. Nokta yiikleme dayanrmr - elastisite modiilii iliqkisi.

110

100

90

80

:こぉ 70

ヽ 60

餞 50

=∽ 40

30

20

10

0

40 60 80 100 120

NoktFt Y■kleme Dayanlm:(kg/Cn12)

seki1 7.Nokta yuklemc dayanlml― Shore sertliこ i lli§ kiSi.

428

y=7.782Ln(x)+20166

70

60

50

40

30

20

10

一炒一〓o∽一2資oひ一僣日〓o∽

60 80 100

Nokta Y■ kleine Dayanlml(kg/Cm2)

Bα z′ Kαッαβノ′・′“″′́ノ′レⅣο々rα y′たセ″ι Dαッ′′′722″′́

`ν′Dな′′・ルイα′z`″ι Oz`ノノ′たノι′・ブ〃′力なたメ′ι′・J

seki1 8。 Nokta y● klcme dayanlml― Schmidt 9ekici sertltti ili§ kisi.

yuklemc dayanlml dctterleri ile dter kaya Sδ セs′′rC`ッカι″メッι yαれたαッαg′αrι 4ι′Bαz′

mckaniこ i araZi Ve laboratuvar dcney lイαルι“ι″て′′′ι Ozι〃ノた″″ノ4J“ B`′ノrノθκ

“ιs′

SOnu91arl araslnda ili§ kiler gclistirmek νι Dιごιr′

`′

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“θsノ ,″αグι″θ′″た,Cノル2イ

,

amacl ile basit regresyon analizleri Sα ッι イ,s.ff‐f9yapllml§ tir・ Gcr9ekle§ tirilen bu regresyon

analizleri sonucunda,nOkta yuklcme

dayanlml ile dolayl1 9ekme dayanlml,suda

daЁ llma dayanlml indeksi,tek cksenli

basin9 dayanll■1, kohezyon,elastisite

modiilu,ShOrc sertlitti Ve sChlllidt 9ekici

scrtlitti arasinda anlamh vc olduk9a

ytiksck korclasyonlu ili§ kiler elde

cdilmi§ tir(Seki1 2-8).Nokta y● klemedayanlml deこ eri kullanllarak dtter bazl

ёnemli malzeme ёzelliklerinin tahminedilebilcceЁ i bu ili§ kllcrin,dcЁ i§ik turdcki

kaya birilnlerinde yapllacak ё19iilnlerle

geli§ tirillalesinde yarar gёnlmektedir.

5。 KAYNAKLARC`ッ ′α″θJ′ Ir, 4., ノ995, Sノ ソαs― こ〃α∫

ε`ッ

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“ス

fιたθθαgr

καッα BJ″ノ“′ιrノκ′κ καzι ノαb′ ′ノ′ザ′た

Sι ″ノα″αSI νι O′・′′/καzι B″′・メ“

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Sαッ′29,s 235-2イ 6.

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ス∫′′″″

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`“ `σα′

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9う4

И■

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`′

υ′ルι応メたs′ ,252s.

ELE,1993,C′ッ′′α4グ E″ッ′rθ4″ι“″α′

E4g′″ι`″

れg rθ s′ E9“

"“`ん′19′ЙE′ j′

“σα′α′θgνι,〃θ′・tわ′・″∫力′′・`,E″

g′α″グ, 39イ

S

G″′,y,2θθ6,3α zι スfIた ′ゞノιrF7θ′ιハグιた′

Dι Jな′た καッα B′ r′″′ι″ノ′′“ rα∫ι

“α

κα′αsル`′ `rノ

κ′″ス′・αξ′ι′:′″α∫`ッ`κ

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・′′′`′

′′∫たノ′`77グ

ノr′′′1`si,Dθたrθ′・α

T`z′ ,C.υ Aイ功77 Fαた ルイαグι4几イカカ Bδノ.,

2θ9s,S'ソαs.

ISRノ イヽ, ′98′ ,Rοεた C/7α ′・θε′`″

′Zα′′θ77

7θ s′′″g α77`′ ノレイθ77ノ′θ′・′77gi ISRルイS夕 ggι s′ι`′

ν`′

力θお,′4′ιttα′′θ4α′Sθ`た

リルr Rθεた

ハイ``力

α4J6s,2ff s

GUL, CEYLANOGLU

ISRM, 1985, Suggested Method forDetermining Point Load Strength, Int. J.

Rock Mech. Min. Sci. Geomech. Abstr.,

22(2 ), s. 5 I -60 .

KarakuS, 4., 2007, Bazt MermerBirimteri igin Optimum Plaka Kesme

KoSullarmtn AraEttrtlmqst ve MermerMalzeme Ozeltikleri ite itiStcilendirilmesi,

Doktora Tezi, C.U. Miih. Fak. MadenMiih. Bol..227 s.. Sivas.

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