lembar granulometri

SE

DIM

EN

TO

LO

GI

LABORATORIUM SEDIMENTOLOGIPRODI TEKNIK GEOLOGI

FAKULTAS TEKNOLOGI MINERALUNIVERSITAS PEMBANGUNAN “VETERAN”

YOGYAKARTA2015

ANALISA GRANULOMETRIDAN

ANALISA KARBONAT

Laboratorium SedimentologiProgram Studi Teknik GeologiFakultas Teknologi MineralUPN “Veteran” Yogyakarta2015 Lembar Analisis Granulometri

FORMULIR PENCATATAN GRANULOMETRI

Dikerjakan Oleh : Tanggal :

No. Conto : Lokasi :

Keterangan :

Berat conto mula-mula + Becker : gram

Berat becker : gram

Berat conto : - = gram

Berat conto : gram

Berat conto setelah diproses : gram

Selisih berat : - = gram

MeshDiameter

(mm)

Diameter

(phi)

Berat yang tinggal

di atas ayakan

(gr)

Persen

Berat

(%)

Persen

Kumulatif

(%)

JUMLAH

Yogyakarta, - - 2015

Staff AssistenLaboratorium Sedimentologi

1

Low

er

limit

inm

icro

ns

Cla

ss li

mit

in

phi

Mid

Poin

tf

uuf

2u

2uf

3u

4u

3u

f4

uf

Mom

ent about X

o X

o =

V = 1

V = 2

V = 3

V = 4

Mo

men

t's a

bout

: M

:

=

M =

CV

+ X

=

11

0

22

M =

C (

V –

V)

=

22

1

33

M =

C (

V –

3V

V +

2V

)

=

33

12

1

42

4M

= [

C (

V –

4V

V +

6V

V –

3V

)]

=

44

13

12

1

2.

Mea

n =

M=

1

1/2

3.

Sta

ndar

d de

vias

i (σ

) =

(M

)=

2

34.

S

kew

ness

(α

) =

M/

σ=

33

45.

K

urto

sis

(β)

= M

/ σ

=2

4

3 6.

M

ean

Cub

ed D

evia

tion

= α

σ=

3

1.

TA

BE

L P

ER

HIT

UN

GA

N M

OM

EN

T

2


Cla

ss in

terv

al

“f”

weig

ht

(f)

f (m

)

Jum

lah

m’ c

lass

mid

poin

t(p

hi)

(m)

(m-x

)2

f(m

-x)

3f(

m-x

)4

f(m

-x)

TA

BE

L P

ER

HIT

UN

GA

N M

OM

EN

T T

ER

HA

DA

P M

EA

N

1.

Mea

n =

∑f(

m)/

100

= X

=

2.

Sta

ndar

d de

viat

ion

=

=

33

3.

Ske

wne

ss =

α =

(∑

f(m

-x))

/σ∑

f

=

44

1.

Kur

tosi

s =

β =

(∑

f(m

-x))

/σ∑

f =

32.

T

hird

Mom

ent

= (∑

f(m

-x))

/100

=

2∑

f(m

-x)

∑f

3


KURVA HISTOGRAM

-1,25 -0,25 0,75 1,75 2,75 3,75 >3,75

10

20

30

40

50

60

70

80

Diameter (Phi)

Pers

en (

%)

be

rat

Keterangan

Mean : Skewness :Median : Kurtosis :Modus : Sortasi :



4


% Komulatif

100

110

120

130

140

10

20

30

40

50

60

70

80

90

P5

: m

m =

phi,

P

50

: m

m =

phi

P10

: m

m =

phi,

P

75

: m

m =

phi

P16

: m

m =

phi,

P

84

: m

m =

phi

P25

: m

m =

phi,

P

95

: m

m =

phi

Dia

me

ter

mm

Sem

i Logaritm

a


4,753,752,751,750,75-0,25-1,25-2,250,01

0,05

0,1

0,2

0,5

1

2

55

10

20

30

40

50

60

70

80

90

95

98

99

99,8

99,9

99,99

SKALA PHI

SK

ALA

PR

OB

AB

ILIT

AS

(%

KU

MU

LA

TIF

)

CT

FT

TRAKSI

SALTASI

SUSPENSI

:

:

:

:

:

Phi

Phi

%

%

%

6


METODE MEANSTANDARD

DEVIASISKEWNESS KURTOSIS

Inman

Inman (mod)Folk & Ward

1. Metode Inman

2. Metode Inman (modified)

3. Metode Folk & Ward

Mean

Standard Deviasi

Skewness

Kurtosis

Skewness

Skewness

Mean

Standard Deviasi

Kurtosis

=

=

=

=

=

=

=

=

=

P + P16 84

2

P - P84 16

2

P + P - 2P16 84 50

P - P84 16

(P - P) - (P - P )95 5 84 16

P - P84 16

( P + P ) – 2P5 95 50

( P – P )95 5

P + P + P16 50 84

3P - P84 16

4

P - P95 5

6,6

P + P - 2P 16 84 50 ( P + P ) - 2P5 95 50

2 (P + P)95 52(P - P )84 16

P - P95 5

2,44(P - P )75 25

=

=

=

=

=

=

=

=

=

+

+

RUMUS DAN PARAMETER STATISTIK

7


4. Metode Trask

Median = P = mm50

S = Q/Q= mm0 3 1

P = Phi = mm P = Phi = mm5 50




5. Metode Friedman

Sorting Measure (So) = ½ (P - P) = Phi5 95 5

Simple skewness measure (α) = P - P = Phi95 5

RUMUS DAN PARAMETER STATISTIK



8


ME

TO

DE

ME

AN

STA

ND

AR

DD

EV

IAS

IS

KE

WN

ES

SK

UR

TO

SIS

SIM

BO

L

Yog

yaka

rta,

-

-

201

5

Sta

ff A

ssis

ten

Lab

orat

oriu

m S

edim

ento

logi

TA

BE

L D

ATA

PE

RH

ITU

NG

AN

ME

AN

, S

TA

ND

AR

D D

EV

IAS

I, S

KE

WN

ES

S, d

an

KU

RT

OS

IS

9


Dunes

Beach

Beach

01

23

4

0 -1 -2 -33 2 1

Mean

Skewness

10


Flu

viatil

e

Beach

Angula

rity

/kurt

osi

s

Skewness

0,1

0,5

0,9

1,3

1,7

2,1

0 -1 -2 -33 2 1

11


Fluviatile

Beach

Standard Deviation

Ske

wness

0,1 0,5 0,9 1,3

0

-1

-2

-3

3

2

1

12


Dunes

Fluviatile

Dunes and Fluviatile

Standard Deviation0,2 0,3 1,0 1,3

1

2

3

4

Mean

13


METODE SKEWNESSSIMBOL MEAN SIZE

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN SKEWNESS DAN MEAN SIZE



14


10 15 20 25 30

-40

-20

0

+20

+40

+60

(Mean Size)

Ske

wness

Plot bivariant antara skewness vs mean size(Steward, 1958 ; Friedman, 1961 ; Moiola & Weiser, 1968)

Moiola&

Weiser

Stewart

Friedman

Beach vs Inland dune

Inland dune vs Coastal dune

Dun

eBea

ch

Wave process

River process

Mz

15


METODE STANDARD DEVIASISIMBOL MCD

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN

MEAN CUBED DEVIATION DAN STANDARD DEVIASI



16


River

Beach

Plot bivariant antara mean cubed deviation vs standard deviation( Friedman, 1967)

0,1 0,5 1,0 1,5

STANDARD DEVIATION

ME

AN

CU

BE

D D

EV

IAT

ION

0,00

-0,50

-1,00

-1,50

-2,00

0,50

1,00

1,50

2,00

17


METODE SKEWNESSSIMBOL STANDARD DEVIASI

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN STANDARD DEVIASI DAN SKEWNESS



18


River

Beach

Standard deviation

Plot bivariant antara skewness vs standard deviation(Friedman, 1967)

Ske

wness

0,20 0,40 0,60 0,80 1,00

0,0

-0,2

-0,4

+0,2

+0,4

19


METODE MEDIANSIMBOL STANDARD DEVIASI

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN MEDIAN DAN STANDARD DEVIASI



20


Wave process

River processRiver

Beach

Median

Sta

ndar

devi

atio

n

Plot bivariant antara median vs standard deviasi (Steward, 1958 ; Moiola dan Weiser, 1968)

10 20 30

02

04

06

08

10

21


METODE MEANSIMBOL STANDARD DEVIASI

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN MEAN DAN STANDARD DEVIASI



22


River

Mixed R - D

Miv

Dune

River

BeachCoastal D

une

20 40 60 80 100

100

200

300

(Standard Deviation)

Plot bivariant antara mean vs deviasi standard( Friedman, 1961 ; Moiola dan Weiser, 1968)

(Mean)

Mz

23


METODE SKEWNESSSIMBOL KURTOSIS

INMAN

INMAN (mod)

MOMENT

MOMENT thd MEAN

FOLK & WARD

TABEL DATA PERHITUNGAN SKEWNESS DAN KURTOSIS



24


Dune

Beach

Beach

Inland

Dune0,40

0,50

0,60

Kurt

osi

s

Skewness

Plot bivariant antara kurtosis vs skewness( Mason dan Folk, 1958 ; Moiola dan Weiser, 1968)

-0,20 0,00 +0,02 +0,40 +0,50

25


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