Prodi Teknik Sipil FT UNS
Lab. Mekanika Tanah FT UNS, Jl Ir Sutami 36 a Surakarta
GEOLOGI REKAYASA
TKS24082
….. dengan batuan ?
Apa yang dimaksud ……
BATUAN adalah suatu bahan yang terdiri dari material padat ( solid ) baik berupa massa yang berukuran besar
maupun berupa fragmen-fragmen kecil.
- ASTM C 295-87, 1987 -
BATUAN adalah kumpulan atau
kesatuan mineral yang terdiri dari satu jenis mineral atau lebih.
- Glosarry of Geology, 1987 -
…..….. ROCKS .
Nature of ……
….. dalam kegiatan rekayasa, asumsi umum terhadap kondisi alamiah batuan meliputi :
Homogen ( homogeneous )
Kontinu ( continuous )
Isotropik ( isotropic )
….. but …… NO!
….. batuan pada kenyataannya adalah
sangat kompleks dan bervariasi, sehingga yang umum dijumpai adalah :
Heterogen ( heterogeneous )
Diskontinu ( discontinuous )
Anisotropik ( anisotropic )
Homogeneous Continuous Isotropic
Heterogeneous Discontinuous Anisotropic
Sandstone Strength equal in
all directions
Shale
Sandstone
Fault
Joints
Strength varies with directions
Low High
Intact Rock
Rock Mass
versus
.….. the scale factor of rocks.
.….. the scale factor of rocks and the variation in strength of material depending on the size of the sample involved.
Minerals
Textures Rock Material Composition
Joint Properties Joints Jointing Pattern Density of Joints
Rock Mass
.….. the main features constituting a rock mass
…... batuan memiliki dua sifat utama yaitu sifat FISIK dan
sifat MEKANIK
….. yang dapat ditentukan berdasarkan
hasil pengujian laboratorium maupun
lapangan.
Physical Properties
Uji indeks ( index test ) dimaksudkan untuk memperoleh informasi dasar mengenai
sifat fisik batuan dalam kaitannya dengan usaha melakukan klasifikasi dan untuk
mendapatkan pengertian yang baik
karakter alami batuan.
• Densitas (density)
• Porositas (porosity)
• Permeabilitas (permeability)
• Kekerasan (hardness)
• Durabilitas (durability)
• Abrasifitas (abrasivity)
• Kekuatan (strength) dll.
….. examples of sampling requirements.
….. sampling for laboratory testing.
Sample preparation …..
….. to form perfect right-angled cylinders.
….. the sample preparation process usually involves drilling (drill press), cutting (diamond saw), and grinding (surface grinder).
Densitas …..
….. berat per satuan volume batuan.
w m
n
( 1 )
V
W
• Densitas alami (bulk/natural)
• Densitas jenuh (saturated)
• Densitas kering (dry)
Dry density for various rock types
….. density changes with depth be low the sea floor in the Gulf of Mexico. The density in the figure is calculated from the core porosity data (Ostermeier et al. 2001).
25 .
741 0
.
1 p
n
v
Hubungan antara densitas dan kecepatan gelombang seismik untuk batuan
sedimen (Gardner et al., 1974) :
Porosity …..
….. is given as the volume of pore space divided by the total volume of sample.
….. porosity of some typical rocks showing effects of age and depth.
t v
V
V
….. rock porosity decreases as the burial depth increases in the central deepwater Gulf of Mexico (plotted from the core test data presented by Ostermeier et al. 2001).
ae
bZ
Persamaan umum hubungan antara porositas dan kedalaman :
Permeability …..
….. conveys information about the connectivity of pore space and fissures within a rock.
L h KA h
q
1
2g k K
f
Hardness …..
….. the Shore Scleroscope measures the rebound of a small rounded diamond hammer which falls from a fixed height and rebounds freely from the surface of rock specimen. Several reading are taken next to each other. The average rebound height, can than be correlated with the hardness and/or compressive strength.
Hardness …..
….. The Schmidt Hammer was originally developed for non-destructive testing of concrete. Four types of hammer are available with varying impact energy. The rebound of spring-loaded hammer mass after impact on the rock surface can be read directly from the instrument (Schmidt number) and correlate to
hardness.
Hardness …..
….. Relationship between Schmidt hardness and uniaxial compressive strength of rock.
Hardness …..
….. skala kererasan relatif batuan.
Kekerasan Simbol Deskripsi
Sangat Lunak RH-0 Sama dengan OH-4 dan OH-5 dan hanya dapat diambil dengan pemboran kering. Contohnya beberapa jenis tuf dan batulempung.
Lunak RH-1 Dapat digores dengan kuku dan diambil dengan palu geolog serta cepat dibor dengan mata bor widya, misalnya beberapa jenis batupasir, batulanau dan serpih.
Agak Lunak RH-2 Dapat digores dengan pisau dan cukup baik dibor degnan mata bor widya, contohnya batupasir yang tersemen baik dan batugamping.
Agak Keras RH-3
Sukar digores dengan pisau, sukar diambil dengan palu geologi tetapi ujung contoh batu masih mudah dipecahkan dengan palu.
Batu masih dapat dibor dengan mata bor widya tetapi kadang- kadang memerlukan matabor intan, contohnya basalt.
Keras RH-4 Ujung contoh batu sukar dipecah dengan palu, tak dapat digores dengan pisau dan pemboran memerlukan mata bor intan, contohnya kuarsit.
Sangat Keras RH-5 Kemajuan pemboran dengan mata bor intan sangat lambat, contohnya rijang, batuan terslifikasi.
Durability …..
….. Durability measure the changes in rock properties due to processes of chemical and mechanical breakdown (e.g.
exfoliation, hydration, solution, oxidation, abrasion, etc.).
Water Trough Testing Drum Counter Plate
Rubber Belt Motor Drive
Auto counter with Speed Adjustment
Rock Lumps
Swelling …..
….. The swelling strain index is a measure of the axial swelling strain developed when radially confined undisturbed rock specimen is immersed in water.
Strength …..
….. an index test for rock strength is provided by the point load test. The rock is hydraulically loaded by spherically truncated, hardened, conical steel platens and fails by the development of tensile cracks parallel to the axis of loading, often
normal but sometimes to the longer axis of the specimen.
Rock Sample Rigid Frame Pressure Gauge with Max. Indicator
Hand Pump Release Valve
Hydraulic Piston Platen
Steel Rule
…..
batuan
?Sifat mekanik……
Banyak metode uji laboratorium yang digunakan untuk mengetahui sifat-sifat mekanik batuan. Sifat mekanik umumnya digunakan sebagai parameter desain utama dalam pekerjaan rekayasa.
• Kuat tekan (compressive strength)
• Kuat geser (shear strength)
• Kuat tarik (tensile strength)
• Perilaku rayapan (creep behaviour) dll.
Kekuatan Batuan
…... Hoek and Brown (1997)
Kuat Tekan (Compressive Strength)
• Bisa merupakan kuat tekan uniaksial (UCS), biaksial ataupun triaksial.
• Uji tekan uniaksial merupakan uji yang paling tua, sederhana dan praktis untuk mengetahui kuat tekan.
• Selain nilai UCS, uji tekan uniaksial juga dilakukan untuk mendapatkan nilai modulus elastisitas dan nisbah
Poisson.
A UCS P
max) 50 (
) 50 ( a
E
c
) 50 (
) 50 ( a r
As the rock is gradually loaded, it passes through several stages:
Stage I
Existing cracks preferentially aligned to the applied stress will close (cc)
Stage II
Near linear elastic stress- strain behaviour occurs Stage III
Initiating cracks propagate in the stable fashion (ci)
Stage IV
Cracks begin to coalesce and propagate in an unstable
fashion (cd)
Modulus Elastisitas
• Untuk kebanyakan batuan, kurva tegangan-regangan uniaksial sebelum mengalami keruntuhan umumnya mendekati bentuk linear (=E).
• E dikenal sebagai modulus elastisitas (modulus Young) yang mencerminkan kapasitas deformasi batuan atau kekakuannya (stiffness).
) 50 (
) 50 ( a
E
c
Nisbah Poisson
merupakan rasio antara regangan lateral (radial/tranversal) dan vertikal (aksial).
a r
) 50 (
) 50 ( a r
The uniaxial compressive test for mudstone, shandy shale and fine-grained sandstone in Eastern China’s coal
Measures (Peng and Wang 2001).
Uniaxial compressive test results in Eastern China’s coal measures (Peng and Wang, 2001).
Influence of specimen size on the strength of intact rocks (after Hoek and Brown 1980).
18 . 0 50
50
c d
cd
• Uji tekan triaksial merupakan merupakan uji yang paling penting untuk mengetahui sifat mekanik batuan.
• Tegangan utama terbesar (
1) diberikan
sepanjang aksis sampel batuan silinder dan tegangan utama terkecil (
3) diberikan oleh tekanan fluida pembatas pada permukaan sampel.
• Baik UCS dan selubung keruntuhan (failure envelope) dapat diketahui dari pengujian ini.
Kuat Tekan Triaksial
Servo-controlled triaxial compressive test apparatus of MTS Systems.
Estimate of Geological Strength Index (GSI) based on geological descriptions (after Hoek, 2007).
Kuat Tarik (Tensile Strength)
• the capacity of the rock to resist tensile stress.
• Terdapat metode pengujian langsung maupun tidak langsung untuk mengukur kuat tarik
batuan.
Uji Beban Titik (Point Load Test)
2
) 50 ( 0
22 7 . 1
s a
I L P
P T S
Sa : shape factor
• for diametral test Sa = 0.79
• for other test Sa = 0.79 D/L
Brazilian Test
Dt T F c
2
0
Fc : yield load
D : diameter sampel t : tebal sampel
Seringkali overestimate untuk batuan yang
terkonsolidasi buruk.
The comparison of the compressive and tensile strength and elastic modulus for different lithologic samples under the uniaxial compressive tests (Meng et al., 2006).
8 T
0UCS
Griffith (1921)
sin 0
1
) sin 1
(
4
T
UCS
(McClintock and Walsh 1962)
12 T
0UCS
Murrell (1963)
Tipe Keruntuhan Batuan
…… dalam uji laboratorium mekanika batuan, hal yang biasanya menarik perhatian kita untuk diketahui adalah :
Bagaimana tipe keruntuhan batuan atau karakteristik deformasi yang terbentuk
Seberapa besar tegangan yang dapat diberikan hingga sesaat sebelum keruntuhan terjadi
Tipe Keruntuhan batuan.
Splitting Shear Failure
Multiple Shear Fractures
Tensile Failure
Tensile Failure Induced by Point
Load
The most useful description of the MECHANICAL BEHAVIOUR of intact rock is the complete stress- strain curve in compression. From this curve,
several features of interest are derived:
Deformation moduli (E, )
Brittle fracture parameters
Peak strength criteria
The post-peak behaviour
high stiffness high strength
very brittle
medium stiffness medium strength medium brittleness
low stiffness low strength
brittle
low stiffness low strength
ductile
Rock Mass QUALITY
Intact Rock
Rock Mass
.….. the scale factor of rocks and the variation in strength of material depending on the size of the sample involved.
DISCONTINUITY
Kondisi diskontinu alamiah massa batuan.
Intact Rock +
Discontinuities
=
Rock Mass
Diskontinuitas Batuan
Fault
Joints
Continuous Discontinuous
• Diartikan sebagai segala sesuatu yang membatasi sikuen kontinuitas batuan.
• Secara mekanik, diskontinuitas umumnya memiliki kuat tarik kecil atau bahkan nol (zero tensile strength)
0.01 0.1 1 10 100 1000 10,000 Length (m)
seams/shears bedding planes
fissures cracks
partings
joints
faults
Rock Defects Joints Weakness
Zone
.….. the main discontinuities of rock according to size.
Schematic of the primary geometrical properties of discontinuities in rock (from Hudson, 1989).
Karakterisasi Diskontinuitas Batuan
Frekuensi diskontinuitas, = N/L m
-1Spasi rata-rata, = L/N m
L = Panjang garis observasi
N = Jumlah diskontinuitas sepanjang garis observasi
Metode Scanline
Scan line sampling pada salah satu lereng batuan dan hasil pengukuran kedudukan bidang-bidang diskontinuitas utama.
• Ada berapa jenis bidang diskontinuitas?
• Bagaimana kedudukan dan penyebarannya?
• Bagaimana karakteristik fisik dan keteknikannya?
• Adakah hal-hal lain yang khas pada bidang
diskontinuitas tersebut?
Strength of rock
masses depends on intact rock material
and rock mass
discontinuities .
Kualitas Massa Batuan
• Rock Quality Designation atau RQD (Deere et al., 1967) merupakan estimasi kuantitatif kualitas massa batuan dari log inti peboran (umumnya untuk NX-size core)
• RQD dapat dikatakan sebagai modifikasi dari perolehan inti bor (core recovery)
• RQD pada dasarnya mengukur derajat
(densitas) diskontinuitas massa batuan.
RQD* = -3.68 + 110.4.
Rock Mass Classifications
• Geomechanics System - Rock Mass
Rating (RMR) by Bieniawski (1984, 1989)
• Q-System - Norwegian Geotechnical Institute (Barton et al., 1974)
• Rmi – Rock mass index (Arild Palmstrom, 1995)
• Geological Strength Index, GSI (Hoek et
al., 1995), dll.
• Bahasa komunikasi antar ahli
• Membandingkan (kondisi) massa batuan
• Klasifikasi perilaku massa batuan
• Kajian kualitas massa batuan
• Kajian kebutuhan perkuatan (ground support)
• Mendapatkan parameter desain awal
Tujuan Klasifikasi Massa Batuan
Rock Mass Rating (RMR)
• RMR based on five parameters:
– Uniaxial strength, qu
– Rock Quality Designation, RQD – Spacing of Discontinuities
– Condition of the Discontinuities – Groundwater Conditions
• RMR = R1+R2+R3+R4+R5
• Adjustment for Joint Orientation relative to construction
Rock Mass Rating (RMR)
Geomechanics Systems (CSIR) [after Bieniawski, 1984, 1989]
0 2 4 6 8 10 12 14 16
0 50 100 150 200 250 300
Unconfined Compressive Strength, qu (MPa)
RMR Rating R1
0 5 10 15 20 25
0 10 20 30 40 50 60 70 80 90 100
Rock Quality Designation, RQD
RMR Rating R2
0 5 10 15 20 25
0.01 0.1 1 10
Joint Spacing (meters)
RMR Rating R3
0 5 10 15 20 25 30 35
0 1 2 3 4 5 6
Joint Separation or Gouge Thickness (mm)
RMR Rating R4 Slightly
Rough Weathered
Slickensided Surface or Gouge-Filled
Soft Gouge-Filled
0 2 4 6 8 10 12 14 16
0 0.1 0.2 0.3 0.4 0.5 0.6
Joint Water Pressure Ratio, u/1
RMR Rating R5
u = joint water pressure
1 = major principal stress
Al t er nat e 2 Def i ni t i ons f or P ar amet er R5
0 2 4 6 8 10 12 14 16
1 10 100 1000
Inflow per 10-m Tunnel Length (Liters/min)
RMR Rating R5
Al t er nat e 1 Def i ni t i ons f or P ar amet er R5 Dry
Damp
W et
Dripping
Flowing Rough/Unweathered
0 5 10 15 20 25
0.01 0.1 1 10
Joint Spacing (meters)
RMR Rating R3
0 5 10 15 20 25 30 35
0 1 2 3 4 5 6
Joint Separation or Gouge Thickness (mm)
RMR Rating R4 Slightly
Rough Weathered
Slickensided Surface or Gouge-Filled
Soft Gouge-Filled
0 2 4 6 8 10 12 14 16
0 0.1 0.2 0.3 0.4 0.5 0.6
Joint Water Pressure Ratio, u/1
RMR Rating R5
u = joint water pressure
1 = major principal stress
Al t er nat e 2 Def i ni t i ons f or P ar amet er R5
0 2 4 6 8 10 12 14 16
1 10 100 1000
Inflow per 10-m Tunnel Length (Liters/min)
RMR Rating R5
Al t er nat e 1 Def i ni t i ons f or P ar amet er R5 Dry
Damp
W et
Dripping
Flowing
ROCK MASS RATING (RMR) also CSIR System 5
Geomechanics System - ( Bieniawski, 1984, 1989) RMR = Ri
Geomechanics Classification for Rock Masses i = 1
CLASS DESCRIPTION RANGE of RMR
I Very Good Rock 81 to 100 NOTE: Rock Mass Rating is obtained by summing the five index II Good Rock 61 to 80 parameters to obtain an overal rating RMR. Adjustments for dip III Fair Rock 41 to 60 and orientation of discontinuities being favorable or unfavorable IV Poor Rock 21 to 40 for specific cases of tunnels, slopes, & foundations can also be
V Very Poor Rock 0 to 20 considered.
0 2 4 6 8 10 12 14 16
0 50 100 150 200 250 300
Unconfined Compressive Strength, qu (MPa)
RMR Rating R1
0 5 10 15 20 25
0 10 20 30 40 50 60 70 80 90 100
Rock Quality Designation, RQD
RMR Rating R2
NGI- Q Rating of Rock Masses
• Q-Rating based on 6 parameters:
– Rock Quality Designation, RQD (100 – 10) – Number of Joint Sets, J
n(1 – 20)
– Roughness of Discontinuities, J
r(4 – 1) – Discontinuity Condition/Filling, J
a(1 – 20) – Groundwater Conditions, J
w(1 – 0.1)
– Stress Reduction Factor, SRF (1 – 20)
• Rating of Rock Formation :
– (RQD/Jn) = crude measure of block size – (Jr/Ja) = roughness/friction of surfaces
– (Jw/SRF) = ratio of two stress parameters (active stress)
SRF J
J J J
Q RQD w
a
r
n
NGI Q-System Rating for Rock Masses
( Bar ton, Lien, & Lunde, 1974)
Nor wegian Classif ication f or Rock Masses Q - Value Quality of Rock Mass
< 0.01 Exceptionally Poor 4. Discontinuity Condition & Infilling = Ja
0.01 to 0.1 Extremely Poor 4.1 Unfilled Cases
0.1 to 1 Very Poor Healed 0.75
1 to 4 Poor Stained, no alter ation 1
4 to 10 Fair Silty or Sandy Coating 3
10 to 40 Good Clay coating 4
40 to 100 Very Good 4.2 Filled Discontinuities
100 to 400 Extremely Good Sand or cr ushed r ock inf ill 4
< 400 Exceptionally Good Stif f clay inf illing < 5 mm 6
Sof t clay inf ill < 5 mm thick 8
PARAMETERS FOR THE Q-Rating of Rock Masses Swelling clay < 5 mm 12
Stif f clay inf ill > 5 mm thick 10 1. RQD = Rock Quality Designation = sum of cored pieces Sof t clay inf ill > 5 mm thick 15 > 100 mm long, divided by total core run length Swelling clay > 5 mm 20 2. Number of Sets of Discontinuities (joint sets) = Jn 5. Water Conditions
Massive 0.5 Dr y 1
One set 2 Medium W ater Inf low 0.66
T wo sets 4 Lar ge inf low in unf illed j oints 0.5
T hr ee sets 9 Lar ge inf low with f illed j oints
Four or mor e sets 15 that wash out 0.33
Cr ushed r ock 20 High tr ansient f low 0.2 to 0.1
High continuous f low 0.1 to 0.05 3. Roughness of Discontinuities* = Jr
Noncontinuous j oints 4 6. Stress Reduction Factor** = SRF
Rough, wavy 3 Loose r ock with clay inf ill 10
Smooth, wavy 2 Loose r ock with open j oints 5
Rough, planar 1.5 Shallow r ock with clay inf ill 2.5
Smooth, planar 1 Rock with unf illed j oints 1
Slick and planar 0.5
Filled discontinuities 1 **Note: Additional SRF values given
*Note: add +1 if mean joint spacing > 3 m for rocks prone to bursting, squeezing and swelling by Barton et al. (1974)
SRF J J
J J
Q RQD w
a r n
Joint Sets
10cm 5
0
1 2 4
6 8 9
10 18~20
16~18 14~16 10~12 6~8 2~4 0~2
JRC
7 12~14
5 8~10
3 4~6
Surface of joint
• Estimasi nilai Q berdasarkan log bor
• Desain awal perkuatan berdasarkan estimasi nilai Q
• Nilai aktual Q berdasarkan pengamatan visual (selama konstruksi)
• Revisi desain perkuatan berdasarkan nilai aktual Q
Desain Perkuatan dari Nilai Q
Geological Strength Index (GSI)
• Developed by Hoek, Kaiser, & Bawden (1995), Hoek & Brown (1997).
• GSI from Geomechanics system where RMR
> 25:
• GSI from Q-system:
• Chart approach based on structure and surface quality
44 log
9
a r
n J
J J
GSI RQD
4
1
10
i Ri
GSI
GSI
Evaluation from Chart
(Hoek, 2000)
Illustrative cases for defining rock shear strength for cut slope.
itas Diskontinu
Jumlah Batuan 1
Lereng
Stabilitas
Potensi keruntuhan lereng batuan sangat
dipengaruhi oleh keberadaan diskontinuitas :
Tim KBK Geoteknik Prodi Teknik Sipil UNS
92