- Open Access
- Total Downloads : 340
- Authors : Subir Kumar Ghosh, B. Niharika, Karanam Uma Maheshwara Rao, Samir Kumar Pal
- Paper ID : IJERTV1IS6403
- Volume & Issue : Volume 01, Issue 06 (August 2012)
- Published (First Online): 30-08-2012
- ISSN (Online) : 2278-0181
- Publisher Name : IJERT
- License: This work is licensed under a Creative Commons Attribution 4.0 International License
Rock Sample Characterization Based on Textural Features, Strength Properties and Signal Emission Levels under Application of Uni-Axial Compressive Stress
Subir Kumar Ghosh, B. Niharika, Karanam Uma Maheshwara Rao, Samir Kumar Pal
Department of Mining Engineering, Indian Institute of Technology Kharagpur, INDIA
Abstract
The field of Rock Mechanics is taken to include all studies relative to the physical and mechanical behaviour of rocks and rock masses and the applications of this knowledge for the better understanding of geological processes and in the fields of Engineering. The corner-stone of any practical rock mechanics analysis or rock engineering is the geological data base upon which the definition of rock types, structural and material properties are based.
-
Introduction.
The nature and distribution of structural features within the rock mass is known as rock structure which can have a dominant effect on the response of a rock mass to mining operations. It can influence
the choice of a mining method and the design of mining layouts because it can control stable excavation spans, support requirements, subsidence, cavability and fragmentation characteristics. At shallow depths and in de-stressed areas, structurally controlled failures may be the prime concern in excavation design. At depth and in areas of high stress concentration, the influence of structure may be less marked, and limiting the induced boundary stresses or energy release rates may be more important considerations.
Many engineering decisions are based on a combination of geological and rock mechanics data. The geological database upon which the definition of rock types, structural and material properties are based upon, plays a significant role in rock mechanics. Mechanical properties of rocks can be measured
quantitatively but most of the petrographic descriptions (mineral composition and texture) are qualitative. So it is important to develop a more systematic means of combining and correlating the petrographic data and
corresponding mechanical properties of rock masses.
The determination of the Texture Coefficient (T.C.) is a technique of Applied Petrography, developed by two Australian researchers, Howarth and Rowlands (1986), to quantitatively express the concept of rock texture. Texture is defined as the description of the form, dimensions and dispositions of the mineral grains constituting the rocks. The Texture Coefficient (T.C) takes into account, through microscopic image analysis of thin sections of intact rock, the profile (or grain-shape), orientation and degree of interlocking of grains, as well as the relative proportions of grains and matrix. It can be used as a predictive tool for rock strength as it returns highly statistically significant correlations with rock strength.
The term acoustic emission (AE) is widely used to denote the phenomenon in which a material or structure emits elastic waves of shock type and sometimes of continuous type caused by the sudden occurrence of fractures or frictional sliding along discontinuous surfaces. Microcracking in a stressed rock can be detected by monitoring
acoustic emission and hence acoustic emission is important in understanding the fracturing process. The study of the statistical distribution of the AE and the relation of the parameters to the process of fracturing helps in determining the probability of total fracture. Magnitude-frequency relation of AE events of rocks are strongly influenced by the homogeneity or inhomogenity of stress distribution in the medium.
-
Literature Review.
-
Formation of rocks
A rock is a combination of minerals and does not have any specific combination. A main determining factor in the formation of minerals in a rock mass is the chemical composition of the mass, for a certain mineral can be formed only when the necessary elements are present in the rock. Calcite is most common in limestones, as these consist essentially of calcium carbonate; quartz is common in sandstones and in certain igneous rocks which contain a high percentage of silica.
Other factors are of equal importance in determining the natural association
or paragenesis of rock-forming minerals, principally the mode of origin of the rock and the stages through which it has passed in attaining its present condition. Two rock masses may have very much
the same bulk composition and yet consist of entirely different assemblages of minerals. The tendency is always for those compounds to be formed which are stable under the conditions under which the rock mass originated. A granite arises by the consolidation of a molten magma at high temperatures and great pressures and its component minerals are those stable under such conditions. Exposed to moisture, carbonic acid and other sub-aerial agents at the ordinary temperatures of the Earth's surface, some of these original minerals, such as quartz and white mica are relatively stable and remain unaffected; others weather or decay and are replaced by new combinations. The feldspar passes into kaolinite, muscovite and quartz, and any mafic minerals such as pyroxenes, amphiboles or biotite are often altered to chlorite, epidote, rutile and other substances.
These changes are accompanied by disintegration, and the rock falls into a loose, incoherent, earthy mass which may be regarded as a sand or soil. The materials thus formed may be washed away and deposited as sandstone or siltstone. The structure of the original rock is now replaced by a new one; the mineralogical constitution is profoundly altered; but the bulk chemical composition may not be very different. The sedimentary rock may again
undergo metamorphism. If penetrated by igneous rocks it may be recrystallized or, if subjected to enormous pressures with heat and movement during mountain building, it may be converted into gneiss, not very different in mineralogical composition though, radically different in structure to the granite which was its original state.
-
Textural Coefficient.
Texture Coefficient (T.C) has been developed by Howarth and Rowlands (1987), to quantitatively express the concept of rock texture. Texture is defined as the description of the form, dimensions and dispositions of the mineral grains constituting the rocks. The Texture Coefficient takes into account, through microscopic image analysis of thin sections of intact rock, the profile (or grain- shape), orientation and degree of interlocking of grains, as well as the relative proportions of grains and matrix.
-
Rock Texture and Rock Strength
Textural features affecting rock strength are: grainsize, shape and degree of interlocking, porosity (crack and pore), grain orientation and the nature of grain boundaries. Compositional features requiring investigation are strength properties, and percentages of component grains and cementing materials.
Grain Size
The yield stress increases when the mean grain size decreases.
Packing Density
Correlation of packing density (the space in a given area occupied by grains) with strength shows that as packing density (sandstones) increases, the values of uniaxial and tensile strengths and Young's modulus also increase.
Grain Shape
As the axial stress on a sample was brought towards the uniaxial compressive strength, the roughness (deviation of the grain from a circle) of grains when viewed in thin section decreased. This decrease in roughness (a higher degree of circularity) was caused by grain boundary and internal grain cracking, indicating that rain shapes were continually changing during stressing phenomena.
There is a relationship between grain shape, fracture propagation and rock strength.
Degree of Interlocking
Igneous and metamorphosed sedimentary rocks, in which grains have been tightly packed and well cemented, severe interlocking of the grains can occur, resulting in a considerable increase in the applied stress required to propagate grain boundary cracks. As the axial stress approaches the uniaxial
compressive strength, degree of interlocking decreases (indicating grain boundary and internal grain cracking).
Quartz Content
Sandstones with high quartz contents have higher strength properties than those with lower quartz contents. However, it is structural interlocking of the quartz grains and not quartz content by itself that influences strength properties.
Porosity
In sedimentary rocks all strength properties fall with increase in porosity.
Grain Boundaries
Central to brittle fracture mechanisms in rocks are the existence of pre-existing cracks — these usually occur at grain boundaries. Grain boundaries are preferred sites for long thin cracks.
Texture Models
These models indicate the role of grain size and grain density in determining rock strength.
-
Quantitative Assessment of Rock Texture
-
-
Rock textures were assessed using microscopic image analysis of thin sections. The method of quantitative assessment of rock
texture consists of four components:
-
Measurement and analysis of grain circularity
-
Measurement and analysis of grain elongation
-
Measurement and quantification of grain orientation
-
Weighting of results based upon degree of grain packing
The procedure for analysis can be reduced to the following formula:
TC AW
Where,
TC = textural coefficient
AW = Grain packing weight
FF0 = arithmetic mean of discriminated form-factors
AR1 = arithmetic mean of discriminated aspect ratios
AF1 = angle factor, quantifying grain orientation
N0 = number of grains whose aspect ratio is below a pre-set discrimination level
N1 = number of grains whose aspect ratio is above a pre-set discrimination level
Individual analysis consists of selecting a reference area or "observation window", containing twenty to thirty rock grains, then processing this image to obtain the geometrical parameters; area, perimeter, length, breadth and angle, for each grain. Area and perimeter are calculated directly, however length and breadth are defined as being the maximum and minimum Feret's diameters (Fig 3.2), respectively calculated every five degrees around the grain image.
The deviation (elongation) is best measured using the grain's aspect ratio (AR). This is defined simply as the ratio of the grain's length to breadth. Thus for increasing elongation, the aspect ratio increases.
Fig2.1 Observation window of thin section – Quartzite
Fig 2.2 Maximum and minimum Feret's diameters (length and breadth), and ANGLE
Form factor is a measure of a grain's deviation from circularity. This deviation may occur in two ways; elongation of the shape, or increased "roughness" of the grain's perimeter.
Roughness is best measured directly using the grain's form factor. Form factor is defined thus:
FORM FACTOR = 4 x x (AREA) / (PERIMETER) 2
For a perfect circle, the form factor is 1.0. As a shape deviates from circularity, (by elongation or increased roughness), the form factor decreases. To differentiate between mode of deviation with respect to which measurement was to be made in the analysis, an aspect ratio discrimination level of
2.0 was introduced. Thus the arithmetic mean of the form factors was calculated for all grains falling below this level, whereas the
arithmetic mean of the aspect ratios was calculated for all particles above this level. To maintain continuity in equation 1, the form- factor term was inverted to ensure that as a grain deviates from circularity, the result from either method of measurement, increases.
Angular orientation of grains was quantified by the development of an ANGLE FACTOR. This factor was only calculated for grains regarded as being elongated, i. e. their aspect ratio was greater than
2.0. The ANGLE FACTOR was calculated by a class weighted system applied to the absolute, acute angular differences (), (i. e. 00 – 900), between each and every elongated grain.
Thus for a group of N grains the number of unique angular differences is
(N-1)+ (N-2) +… +2+1
Therefore, five grains will have:
4+3+2+1=10
Unique angular differences ()
The angular differences are then separated into nine classes, each of which is weighted. The classes and weightings are presented in Table
1.
The ANGLE FACTOR is
calculated by summing the products of the class weightings and the fractions of the total number of angular differences in each class:
ANGLE FACTOR*
Where, N = total number of elongated particles
Xi = number of angular differences in each class
I = weighting factor and class number
* Note that AF1 = (ANGLE FACTOR)/5
The recommended procedure will ensure that the maximum values of ANGLE FACTOR and AF1 are approximately 5.0 and 1.0 respectively. For a truly randomly oriented group of particles the maximum values of ANGLE
FACTOR and AF1 are exactly 5.0 and 1.0 respectively. For 50 parallel elongated grains (i.e.: angular differences (fl) = 0 ~ the AF1 is 0.2, and for 50 grains at right angles to each other, the AF1 is 1.0. The computational procedures involved in deriving the ANGLE FACTOR are best illustrated by a simple example. Fig
-
a shows three particles A, B and C with the defined parameter ANGLE (0L in Fig. 1) being 00, 600 and 1300 respectively.
Number of elongated particles = 3 (N)
Angular orientations from horizontal ():A(00); B(600); C(1300)
Number of unique angular differences = N(N-1)/2=3
Absolute, unique angular differences ()
i.e. (i) LA – LB = 600
(ii) LA LC = |130 180| =
Fig 2.3 Illustrating aspects of the deviation of the ANGLE FACTOR
-
an example showing 3 grains and the defined parameter angle (L)
-
illustrating the definition of acute angular
-
difference
(i) LA – LB = | 00 600 | = 600
(ii) LA LC = | 001300 | = 1300 (iii) LB- LC = |6001300|= 700
Acute, absolute, unique angular differences () are found by subtracting 1800 from any absolute angular difference greater than 900 . The final figure is the modulus of that result.
500
(iii) LB- LC = 700
ANGLE FACTOR calculation
The angle factor AF1 used in is obtained by dividing the ANGLE FACTOR by 5, this ensures that the factor is numerically very similar to the other factors and does not influence the texture coefficient disproportionately.
AF1 = 6.00/5 = 1.20.
The minimum number of grains counted should be in the range 30-50. This will eliminate any bias in favour of the ANGLE FACTOR.
The final term in Eq. (1), AW, represents an area weighting, based upon the grain packing density in any observation window. The texture coefficient is scaled down
according to the percentage area of grains in the total reference area. This factor is only apparent when dealing with sandstones. A typical example is shown in Fig. 4. The texture coefficient is reduced by 49 % from 1.51 to
0.74 due to the grain packing weighting.
Fig 2.4Thin section grain outline.
2.3 Acoustic Emission
Acoustic emission (AE) waves are elastic waves due to dislocation motions in a solid such as cracking. It is common experience that the failure of a concrete specimen under load is accompanied by a considerable amount of audble noise. In certain circumstances, some audible noise is generated even before ultimate failure occurs. Sub-audible sounds can be detected at stress levels of perhaps 50% of the ultimate strength. With the sophisticated equipment available
today, sound can be detected at much lower loads, in some cases below 10% of the ultimate strength. These sounds, both audible and sub-audible, are referred to as acoustic emission and they are defined as the class of phenomena whereby transient elastic waves are generated by the rapid release of energy from localized sources within a material. Acoustic emissions, which occur in most materials, are caused by irreversible changes, such as dislocation movement, twinning, phase transformations, crack initiation, and propagation, debonding between continuous and dispersed phases in composite materials.
The deformation process of brittle rock under incremental compression may be commonly divided into 5 stages in terms of emission rates:
-
At low stresses, the closure of pre-existing cracks with low aspect ratio at large angles to the compression axis produces low frequency acoustic emissions.
-
At higher stresses, the activity dies down to a very low level.
-
Further increase in stress again builds up steadily increasing AE (exponentially).
-
As the failure approaches the frequency increases super- exponentially with time.
-
Very rapid acceleration of higher frequency acoustic emission activity immediately before and during failure.
The first Laboratory measurement of acoustic emission phenomenon caused by the fracturing of solid materials was carried out by Japanese seismologist Kishinouye(1937). He measured high frequency elastic waves caused by fractures resulting from the bending of a beam-shaped wood specimen for the purpose of simulating the temporal variation of the activity of 1930 Ito earthquake swarm in Japan. In the 1940`s, Obert and Duvall (e.g. 1945) carried out laboratory experiments on AE phenomenon as a part of their research on the problems of mine design and rock burst prevention.
Fig2.5: Atypical acoustic signal in voltage-time scale
2.3.1 AE activity under some simple loadings
The temporal variation of AE activity of rocks and rock- like materials, which are heterogeneous brittle materials, is measured using following experimental arrangement.
Fig 2.6: Simple Experimental system of AE measurement in the laboratory under Uniaxial Compression
-
Sensors
-
Piezo electric sensor
Applications:
Vibration monitoring and compensation
Machine condition monitoring
Abuse event detection
Piezoelectric sensors are used to sense movement or vibrations in
many applications. A piezoelectric sensor comprises a piezoelectric crystal which is typically mechanically coupled to an object which produces a mechanical movement. In piezoelectric materials, an applied electric field results in elongations or contractions of the material.
Piezoelectric sensors find applications in converting slight vibrations and stress of objects under measurement into electric signals with the piezoelectric effect of their materials find applications in various fields. Piezoelectric sensors are used as transducers because a potential difference is generated when the sensor is subject to a pressure change. A detection system is electrically coupled to the piezoelectric sensor and senses, for example that a vehicle has passed over the sensor.
Piezo-electric vibration sensors are intended for general use in systems for vibration measurements and machine condition monitoring.
Fig 2.7 Piezo electric sensor
Fig 2.8 Electronic equivalent circuit of Piezo sensor
-
Acoustic pressure sensor:
-
Acoustic sensors monitor high frequency emissions generated by friction and the impact of flowing material or mechanical parts. The sensors can also sense the turbulence of gases or liquids leaking through valves and flanges. When matter vibrates between 0 Hz and 200 kHz, it creates acoustic energy. Sound energy between 20 Hz and 20 kHz can be detected by humans. Acoustic sensors detect high-frequency acoustic energy between 75 kHz and 175 kHz. Acoustic energy travels quickly through dense materials (metal) and poorly through less dense materials (air). Because the acoustic sensors are mounted directly to the external wall of the chute work, other plant noises are well below 75 kHz and effectively ignored by the sensors.
The acoustic sensors contain a specialized piezocrystal and filter
circuit that responds effectively to the high-frequency band between 75 kHz and 175 kHz. As the crystal is excited by the acoustic energy, it produces a continuous electrical signal in direct proportion to the level of acoustic energy received. The sensor output of 0 to 10 V DC can be applied to a PLC or to an optional control unit for a programmable alarm relay or 4 to 20 mA signal output.
Fig 2.9: Acoustic sensor/Microphone
METHODOLOGY
-
Preparation of samples
-
Specimen design
Specimens of NX size (54mm) diameter are cored in the laboratory using rock core drills. Then the cores are cut to a length of 10.8-11.00 cm on a rock cutting machine. The two ends of the cylinder are smoothened to remove irregularities (within 0.02 mm) and they have to be perpendicular to the length of the specimen (within
0.001 radian or 0.05 mm in 50 mm).
Fig 3.1: Core samples for UCS tests
Fig3.2: Thin sections of rock samples
-
Thin sections
For each rock sample, one chip was sliced in a direction parallel to the end faces of cylindrical specimen. The slice of rock is attached to a glass slide using any soluble adhesive like Canada balsam. The section is then polished to a thickness ranging from 2-12m.
-
-
Thin sections and petrographic analysis
The thin sections are studied under optical polarising microscope. Grain parameters like size, perimeter, area, orientation, aspect ratio, etc were measured using Leica QWin PLUS software for quantitative measurement of multiple parameters.
Fig 3.1: Microscope image of sandstone
Fig 3.2: Tracing grains within reference boundary
-
Determination of UCS (ISRM method)
Uniaxial compressive strength is defined as the stress at failure under uniaxial compression and it can be determined by the given equation:
Co =
Where: Co = Uniaxial Compressive Strength(MPa)
P = Peak load at failure (KN)
A = Cross Section area (m2)
The compressive strength is represented by the maximum principal stress in the Mohrs Diagram where the minimum principal stress (confining pressure) is equal to zero. The stress value at failure is defined as compressive
strength Co = 1 . The uniaxial compressive strength of the rock depends on the internal factor such as mineralogy, grain size, porosity and external factors.
Suggested techniques for determining the uniaxial compressive strength and deformability of rock material are given by the International Society for Rock Mechanics Commission on Standardization of Laboratory and Field Tests (ISRM Commission, 1979). The essential features of the recommended procedure are:
Fig 3.3 Experimental setup for UCS testing
-
The test specimens should be right circular cylinders having a height to diameter ratio of 2.53.0 and a diameter preferably of not less than NX core size, approximately 54 mm. The specimen diameter should be at least 10 times the size of the largest grain in the rock.
-
The ends of the specimen should be flat to within 0.02 mm and should not depart from perpendicularity to the axis of the specimen by more than 0.001 rad or 0.05 mm in 50 mm.
-
The use of capping materials or end surface treatments other than machining is not permitted.
-
Specimens should be tored, for no longer than 30 days, in such a way as to preserve the natural water content, as far as possible, and tested in that condition.
-
Load should be applied to the specimen at a constant stress rate of 0.51.0 MPa s1.
-
Axial load and axial and radial or circumferential strains or deformations should be recorded throughout each test.
-
There should be at least five replications of each test.
-
-
Signal Measurement
PC Oscilloscope/PICOSCOPE:
The Picoscope 3424 is the ideal 4- channel oscilloscope for general purpose and specialist, high precision use. This high resolution oscilloscope connects to the USB port on laptop or desktop PC; along with providing the power for the Picoscope, the USB connection provides fast data transfer and makes the oscilloscope quick and easy to set up and use. A PC oscilloscope is a type of electronic test instrument that allows signal voltages to be viewed, usually as a two-dimensional graph of one or more electrical potential differences (vertical axis) plotted as a function of time or of some other voltage (horizontal axis). Although an oscilloscope displays voltage on its vertical axis, any other quantity that can be converted to a voltage can
be displayed as well. In most instances, oscilloscopes show events that repeat with either no change or slow changes. The oscilloscope is one of the most versatile and widely-used electronic instruments.
Oscilloscopes are widely used when it is desired to observe the exact wave shape of an electrical signal. In addition to the amplitude of the signal, an oscilloscope can measure the frequency, show distortion, show the time between two events (such as pulse width or pulse rise time), and show the relative timing of two related signals.
Fig 4.3: Picoscope
-
Samples used in this investigation
Various rock samples which have been tested for this work include:
-
Sandstone
-
Quartz Chlorite Schist (QCS)
-
Granulite
-
QCS (Uranium)
-
Haemetite
-
Serpentine
-
Quartzite
-
Limestone(white)
-
Dolerite
-
Black granite
-
Limestone (gray)
-
Shale
-
Granite (gray)
-
Quartzite
-
RESULTS
-
Physical and strength properties
Temperature : 20.00 (deg C) Humidity : 80.00 (%)
Rate : 0.50 MPa/s
Table 4.1.1 Results of Uniaxial Compression test
S.No
Sample
Length(cm)
Dia(cm)
Weight(g)
Density
UCS(MPa)
Youngs
Modulus(MPa)
1
Sandstone(2)
10.7
5.2
507
2232.2757
11.25112
1332.78319
2
Quartz Chlorite Schist
10.7
5.4
775
3164.1768
85.1317
20090.21253
3
Granite
10.7
5.4
752
3070.2722
77.41878
13817.08549
4
Granulite
11.1
5.6
720
2634.898
98.61613
19413.65201
5
QCS(Uranium)
10.5
5.4
736
3062.1844
69.6623
14735.10844
6
Haematite
11.6
5.7
1505
5086.9696
79.80409
18499.3184
7
Serpentine
9.9
5.5
611
2599.0281
25.9
12739.756
8
Quartzite(2)
7.8
5.4
461
2581.9578
193.89
23971.90292
9
Limestone
12.9
5.4
738
2499.2487
66.34
21500.83484
10
Dolerite
12.1
5.5
857
2982.6371
102.55
32451.95386
-
Texture Analysis
Table 4.2 Average grain parameters (QWin PLUS) along with TC and UCS values
Sample
AW
N0/(N0+N1)
FF0
AR1
AF1
TC
UCS
Sandstone(2)
0.27
0.8148
0.6333
2.48
0.6
0.423
11.25
Black granite
0.7
0.8182
0.49
2.32
1
1.464
46.41
Limestone
0.45
0.5652
0.5496
2.49
0.72
0.8109
66.34
Granite
0.8
0.9167
0.5387
2.07
0.2
1.5015
77.42
Shale
0.6
0.8461
0.6665
2.63
0.8
0.9522
87.79
Granulite
0.46
0.6538
0.5369
2.43
0.49
0.7479
98.62
Grey granite
1
0.8571
0.622
2.02
0.6
1.55
105.06
Quartzite
1
0.9655
0.6797
2.06
1
1.491
157.26
Quartzite(2)
1
0.9333
0.6857
2.16
1
1.505
193.89
-
Acoustic Emission data
-
Raw data
Sample interval: 20 s; Sample rate 50kS/s;
Fig 4.1 Sensor signals as captured by picoscope
Sample: Sandstone
Channel A (Blue): Piezo electric signal
Channel B (Red): Acoustic signal
-
Signal Processing
-
The signal data recorded by picoscope during the failure time of rock is stored in multiple pages, each page containing voltage Vs time data for a time interval of 20 seconds. The sample interval being
20 s, there are 1000000 data entries in each page. To analyse the data, .psdata files can be converted to .csv format and then imported to MATLAB.
DISCUSSION
250
200
Uniaxial Compressive
Strength
150
100
50
0
0 2 4
Sample |
TC |
UCS |
L sand stone |
0.34 |
11.35703 |
Sandstone |
0.423 |
11.25 |
M sand stone |
0.66 |
14.62291 |
Hard sand stone |
0.77 |
65.8507 |
Limestone |
0.8109 |
66.34 |
Shale |
0.9522 |
87.79 |
Lime stone (gray) |
1.694 |
52.84433 |
Sedimentary rocks
exture Coefficient (TC)
Graph 5.1: Correlation of TC and UCS values
Igneous rocks
Sample TC UCS Black granite 1.464 46.41
Granite 1.5015 77.42
UCS
Grey granite 1.55 105.06
150
100
50
0
1.45
1.5 TC 1.55
1.6
Graph 5.1.1: Igneous rocks
100
80
60
40
20
0
0
0.5 TC 1
1.5
2
Graph 5.1.2: Sedimentary rocks
Metamorphic rocks
Sample |
TC |
UCS |
Granulite |
0.75 |
98.62 |
Quartzite |
1.49 |
157.26 |
Quartzite(2) |
1.5 |
193.89 |
250
200
150
100
50
0
Young's modulus
(Gpa)
120
100
80
60
UCS
40
20
0
y = 22.06x + 6.035 R² = 0.276
0 1 2 3
Texture Coefficient (TC)
0
T1C
2
Graph 5.1.3: Metamorphic rocks
y = 149.8x + 2461.
R² = 0.262
3500
3000
2500
2000
1500
1000
500
0
Density (kg/m3)
Specifically it can be noted that the mean value of TC progressively decreases from igneous, metamorphic to sedimentary. Therefore TC is a valid parameter to describe various types of rocks but it cannot predict mechanical properties accurately.
1 2 3
Texture Coefficient (TC)
0
Graph 5.2: Correlation of TC and Densities
Fig. 5.3 Correlation of TC and E(Youngs Modulus in GPa)
CONCLUSIONS
The results obtained from the experiments can be summarised as follows:
-
Texture Coefficient of various rocks (igneous, sedimentary and metamorphic) has been estimated according to the method proposed by Howarth and Rowlands.
-
Mechanical and intact rock properties (density, UCS, Youngs Modulus) were presented and their relationship with the rock texture was statistically established.
-
Texture coefficient is simple in concept and empirical. The mechanical properties of the test rocks are significantly influenced by their texture. Texture coefficient and intact
rock property relationships are linear to some degree.
However, TC is not sufficient alone to assess all the rock properties, because hardness and abrasiveness of rock constituents, bonding structure, type and degree of cementation are not quantitatively involved in the determination of the texture coefficient. Therefore, the effects of these features on the performance of rock properties should be considered simultaneously, because there is no single test which determines the whole of the rock properties at the same time. The rock texture can be used as a predictive tool for assessing the mechanical performance, drillability, cuttability and wear performance of the rocks.
REFERENCES
-
Howarth, D. F., Rowlands, J. C. (1987): Quantitative assessment of rock texture and correlation with drillability and strength properties. Rock Engineering. 20, 57-85.
-
A. Azzoni, F. Bailo, E. Rondena, and A. Zaninetti (1996): Assessment of Texture Coefficient for Different Rock Types and Correlation with Uniaxial Compressive Strength and Rock Weathering. Rock Mech. Rock Engng. 29 (1), 39-46.
-
A. Ersoy, M.D. Waller (1995): Textural characterisation of rocks. Engineering Geology 39 (1995) 123-136.
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Ganesh Dhakal, Tetsuro Yoneda, Masaji Kato and Katsuhiko Kaneko (2002): Slake durability and mineralogical properties of some pyroclastic and sedimentary rocks. Engineering Geology 65 (2002) 31-
45.
5.C.S. Vishnu, Manish A. Mamtani and Arindam Basu (2010):AMS, ultrasonic P-wave velocity and rock strength analysis in quartzites devoid of mesoscopic foliations implications for rock mechanics studies. Tectonophysics 494 (2010) 191-200.