Lembar Granulometri [PDF]

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SEDIMENTOLOGI



ANALISA GRANULOMETRI



LABORATORIUM SEDIMENTOLOGI PRODI TEKNIK GEOLOGI FAKULTAS TEKNOLOGI MINERAL UNIVERSITAS PEMBANGUNAN “VETERAN” YOGYAKARTA 2015



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



FORMULIR PENCATATAN GRANULOMETRI



Dikerjakan Oleh No. Conto Keterangan



: : :



Tanggal Lokasi



Berat conto mula-mula + Becker Berat becker Berat conto gram



: : :



Berat conto Berat conto setelah diproses



: :



Diameter Mesh (mm)



Diameter (phi)



: :



gram gram -



=



gram gram



Berat yang tinggal di atas ayakan (gr)



Persen Berat (%)



Persen Kumulatif (%)



JUMLAH



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



1



2 = = = =



M1 = CV1 + X0



M2 = C2 (V2 – V12)



M3 = C3 (V3 – 3V1V2 + 2V13)



M4 = [C4 (V4 – 4V1V3 + 6V12V2 – 3V14)]



f



=



Mid Point



1. Moment's about : M :



Xo =



Class limit in phi



Moment about Xo



microns



Lower limit in



V1 =



u



uf



2



uf



3



V3 =



u



1/2



3



uf



4



=



=



=



=



6. Mean Cubed Deviation = α3 σ3 =



5. Kurtosis (β2) = M4/ σ



4. Skewness (α3) = M3/ σ3



3. Standard deviasi (σ) = (M2)



2. Mean = M1



2



V2 =



u



TABEL PERHITUNGAN MOMENT



4



V4 =



u



4



uf



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



3 3



2



∑f



∑f(m-x)



“f” weight (f)



3



3. Skewness = α = (∑f(m-x) )/σ ∑f



2. Standard deviation =



1. Mean = ∑f(m)/100 = X



Jumlah



Class interval



m’ class mid point (phi) (m)



=



=



=



f (m)



(m-x)



3



f(m-x)



4



4



3



2. Third Moment = (∑f(m-x) )/100



1. Kurtosis = β = (∑f(m-x) )/σ ∑f



2



f(m-x)



TABEL PERHITUNGAN MOMENT TERHADAP MEAN



=



=



4



f(m-x)



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



KURVA HISTOGRAM



80



70



Persen (%) berat



60



50



40



30



20



10



-1,25



-0,25



0,75



1,75



2,75



3,75



>3,75



Diameter (Phi) Keterangan Mean : Median : Modus :



Skewness Kurtosis Sortasi



: : :



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



4



% Komulatif



10



20



30



40



50



60



70



80



90



100



110



120



130



140



Semi Logaritma



P5 P10 P16 P25



: : : :



mm = mm = mm = mm =



P50 P75 P84 P95



Diameter mm



phi, phi, phi, phi,



: : : :



mm = mm = mm = mm =



phi phi phi phi



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



99,99



CT



:



Phi



FT



:



Phi



99,9 99,8



TRAKSI



:



%



SALTASI



:



%



99 98



SUSPENSI



:



%



90



80 70 60 50 40 30 20



10



5



2 1 0,5 0,2 0,1 0,05



-2,25



-1,25



-0,25



0,75



1,75



SKALA PHI 6



2,75



3,75



4,75



0,01



SKALA PROBABILITAS (% KUMULATIF)



95



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



RUMUS DAN PARAMETER STATISTIK 1. Metode Inman Mean



=



P16 + P84



=



2 Standard Deviasi =



P84 - P16 2



=



Skewness



P16 + P84 - 2P50



=



=



P84 - P16 Kurtosis



=



=



(P95 - P5) - (P84 - P16) P84 - P16



2. Metode Inman (modified) Skewness



=



( P5 + P95 ) – 2P50



=



( P95 – P5 )



3. Metode Folk & Ward Mean



=



Standard Deviasi =



=



P16 + P50 + P84 3 P84 - P16



P95 - P5



+



4 Skewness



=



6,6



P16 + P84 - 2P50 2(P84 - P16)



Kurtosis



=



=



+



( P5 + P95 ) - 2P50 = 2 (P95 + P5)



P95 - P5



=



2,44(P75 - P25)



METODE



MEAN



STANDARD DEVIASI



Inman Inman (mod) Folk & Ward 7



SKEWNESS



KURTOSIS



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



RUMUS DAN PARAMETER STATISTIK 4. Metode Trask Median



= P50



=



mm



S0



= Q3/Q1=



mm



P5 =



Phi =



mm



P50 =



Phi =



mm



P10 =



Phi =



mm



P75 =



Phi =



mm



P16 =



Phi =



mm



P84 =



Phi =



mm



P25 =



Phi =



mm



P95 =



Phi =



mm



5. Metode Friedman Sorting Measure (So5)



= ½ (P95 - P5) =



Simple skewness measure (α) = P95 - P5



=



Phi Phi



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



8



METODE



SIMBOL MEAN



STANDARD DEVIASI



9 -



- 2014



KURTOSIS



Staff Assisten Laboratorium Sedimentologi



Yogyakarta,



SKEWNESS



MEAN, STANDARD DEVIASI, SKEWNESS, dan KURTOSIS



TABEL DATA PERHITUNGAN Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Skewness



10



-3



-2



-1



0



1



2



3



0



1



Beach



Mean



2



Dunes



3



Beach



4



Lembar Analisis Granulometri



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Skewness



11



-3



-2



-1



0



1



2



3



0,1



0,5



Fluviatile



Angularity/kurtosis



0,9



Beach



1,3



1,7



2,1



Lembar Analisis Granulometri



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



3



Skewness



2 1



Fluviatile



0 -1



Beach



-2 -3 0,1



0,5



0,9



Standard Deviation



12



1,3



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



4



Fluviatile



3



Mean



Dunes



2



Dunes and Fluviatile



1 0,2



0,3



1,0



Standard Deviation



13



1,3



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN SKEWNESS DAN MEAN SIZE



METODE



SIMBOL



MEAN SIZE



SKEWNESS



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



14



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



+60



Beach vs Inland dune Inland dune vs Coastal dune +40



Be Dun ac e h



Friedman



Skewness



+20



Riv



er p



0



Stewart



roc



ess



Wave process



-20



Moiola & Weiser



-40 10



15



20



25



30



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



15



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN MEAN CUBED DEVIATION DAN STANDARD DEVIASI METODE



SIMBOL



MCD



STANDARD DEVIASI



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



16



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



2,00



1,50



1,00 River



MEAN CUBED DEVIATION



0,50



0,00



-0,50



-1,00 Beach -1,50



-2,00



0,1



1,0



0,5



1,5



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



17



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN STANDARD DEVIASI DAN SKEWNESS



METODE



SIMBOL



STANDARD DEVIASI SKEWNESS



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



18



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



+0,4



River



Skewness



+0,2



Beach 0,0



-0,2



-0,4



0,20



0,40



0,60



0,80



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



19



1,00



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN MEDIAN DAN STANDARD DEVIASI



METODE



MEDIAN



SIMBOL



STANDARD DEVIASI



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



20



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



10



Standar deviation



08



Ri



River process



ve



Be



r



ac



h



06



Wave process



04



02 10



20



30



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



21



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN MEAN DAN STANDARD DEVIASI



METODE



MEAN



SIMBOL



STANDARD DEVIASI



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



22



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



300 Dune



River



Mixed R - D Miv



Mz (Mean)



200



er



100



Riv



e



un



D tal



as



Co



h



ac



Be



20



40



60



80



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



23



100



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



TABEL DATA PERHITUNGAN SKEWNESS DAN KURTOSIS



METODE



SKEWNESS



SIMBOL



KURTOSIS



INMAN INMAN (mod) MOMENT MOMENT thd MEAN FOLK & WARD



Yogyakarta,



-



- 2015



Staff Assisten Laboratorium Sedimentologi



24



Laboratorium Sedimentologi Program Studi Teknik Geologi Fakultas Teknologi Mineral UPN “Veteran” Yogyakarta 2015



Lembar Analisis Granulometri



0,60



Kurtosis



Beach



Dune



0,50



0,40 ach



d an Inl ne Du



Be



-0,20



0,00



+0,02



+0,40



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



25



+0,50