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    Estimating Unconfined Compressive Strength of

    Sedimentary Rocks in the United Arab Emirates

    from Generated Empirical Correlations

    By

    Hussain Osama Salah

    University of Sharjah

    College of Engineering

    Civil and Environmental Engineering Department

    Supervisors

    Dr. Maher Omar

    Prof. Abdullah Shanableh

    Program: Master of Science in Civil Engineering

    9th

    of December 2013

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    I

    Estimating Unconfined Compressive Strength of

    Sedimentary Rocks in the United Arab Emirates

    from Generated Empirical Correlations

    By

    Hussain Osama Salah

    A thesis submitted in partial fulfillment of the requirements for the

    degree of Master of Science in Civil Engineering

    In the Department of Civil & Environmental Engineering

    University of Sharjah

    Approved By

    Dr. Maher Omar Chairman

    Associate Professor of Civil Engineering, University of Sharjah

    Prof. Abdulla Shanableh Co-Supervisor

    Professor of Civil Engineering, University of Sharjah

    Dr. Radhi Al-Zubaidi MemberAssociate Professor of Civil Engineering, University of Sharjah

    Prof. Mousa Attom Member

    Professor of Civil Engineering, American University of Sharjah

    9th

    of December 2013

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    II

    To my father who has been my teacher and advisor .

    To my mother who has been my rock in l i fe.

    To my sisters and brother who have been my l ife companions.

    To al l scientif ic researchers who devote their lives to making the world a

    better place.

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    III

    ACKNOWLEDGEMENTS

    I would like to express my deepest and warmest gratitude to all those who helped me

    complete this research. I would especially like to give my deepest thanks to my supervisors;

    Dr. Maher Omar, Prof. Abdullah Shanableh, and Eng. Ali Tahmaz, who spent so much effort

    reviewing, making suggestions and helping me in carrying out this study.

    I would also like to thank, Eng. Yousef Al-Soboh, Director of Baynunah Engineering lab,

    Abu Dhabi, Eng. Mohammed Obaid, Director of Matrix lab, Dubai, and Eng. Imad Al-Sharif,

    Director of the Arab Center of Engineering Studies (ACES) Dubai for their assistance and

    contribution. Additionally, I would like to thank everyone who was involved, directly or

    indirectly, in completing this work.

    I would also like to thank the examiners; Dr. Radhi Al-Zubaidi, the internal examiner, and

    Prof. Mousa Attom, the external examiner, for their reviews, remarks, and comments on this

    work. Their input was of great help in producing this research as it is now.

    Finally, I would like to express my warmest, deepest and heartfelt gratitude to my family for

    their love, support, patience and encouragement.

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    IV

    Estimating Unconfined Compressive Strength of

    Sedimentary Rocks in the United Arab Emirates

    from Generated Empirical Correlations

    By: Hussain Osama Salah

    Supervisors: Dr. Maher Omar and Prof. Abdullah Shanableh

    ABSTRACT

    A laboratory study was conducted to develop a database and models for predicting the

    unconfined compressive strength of sedimentary rocks. A large number of rock samples from

    different sites in the United Arab Emirates were collected and tested for the development of

    the database and evaluation of models. Reliable empirical relationships were developed for

    estimating the unconfined compressive strength of UAE rocks based on results obtained from

    the following mechanical and physical tests that were performed on rock samples: unconfined

    compressive strength, point load strength index, Schmidt rebound, Brazilian splitting and

    ultrasonic pulse velocity tests. These were conducted to determine the mechanical properties

    of rock specimens, while the bulk specific weight and moisture content test was conducted to

    determine the physical properties of rock specimens.

    Twenty nine relations were selected from more than a hundred and thirty generated relations

    developed. Each relation was the result of a statistical analysis and the application of the

    Mean Average (MA) data smoothing algorithm and Least Absolute Residuals (LAR) robust

    regression wherever that was necessary. In addition, four general relationships were

    developed relating unconfined compressive strength to moisture content, unit weight, point

    load strength index and type of rock.

    Keywords:Unconfined Compressive Strength; Modulus of Elasticity; Empirical Relations,

    Laboratory Testing.

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    V

    Table of Contents

    Chapter 1 Introduction............................................................................................................ 1

    1.1. Background ..................................................................................................................... 1

    1.2. Problem Statement .......................................................................................................... 2

    1.3. Objectives ........................................................................................................................ 2

    1.4. Scope of Study ................................................................................................................ 3

    1.5. Engineering Significance ................................................................................................ 4

    1.6. Limitations of the Study .................................................................................................. 4

    Chapter 2 Literature Review .................................................................................................. 5

    2.1. Definition and History of Rock Mechanics and Engineering ......................................... 5

    2.1.1. Definition of Rock Mechanics and Engineering ...................................................... 5

    2.1.2. History of Rock Mechanics and Engineering ........................................................... 6

    2.2. Main Areas of Interest in Rock Mechanics and Rock Engineering ................................ 7

    2.2.1. Interests in Rock Slopes Stability ............................................................................. 7

    2.2.2. Interests in Shafts, Tunnels, Caverns and Underground Mines ............................... 8

    2.2.3. Interests in Rock Foundations .................................................................................. 9

    2.3. Software Usage in Rock Mechanics and Engineering .................................................. 11

    2.4. Brief about Sedimentary Rocks .................................................................................... 12

    2.5. Geological History of the United Arab Emirates and Its Rocks ................................... 14

    2.6. Rock Classification ....................................................................................................... 17

    2.7. Unconfined Compressive strength (UCS) of Rocks ..................................................... 19

    2.7.1 Background .............................................................................................................. 19

    2.7.2. Relations between UCS and Mechanical Properties .............................................. 21

    2.7.2.1 Relations between UCS and Point Load Strength Index (Is(50)) ..................... 21

    2.7.2.2. Relations between UCS and Schmidt Hammer Rebound Number .................. 23

    2.7.2.3 Relations between UCS and Brazilian Splitting Tensile Strength .................... 25

    2.7.2.4 Relations between UCS and Ultrasonic Pulse Velocity ................................... 26

    2.7.2.5 Relations between UCS and Modulus of Elasticity .......................................... 28

    2.7.3. Relations between UCS and Physical Properties ................................................... 31

    2.7.3.1 Relations between UCS and Bulk Specific Weight .......................................... 31

    2.7.3.2. Relations between UCS and Moisture Content ............................................... 32

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    VI

    Chapter 3 Experimental Program ........................................................................................ 33

    3.1. Introduction ................................................................................................................... 33

    3.2. Sample Collection ......................................................................................................... 33

    3.3. Sample Transporting and Storing .................................................................................. 36

    3.4. Sample Identification .................................................................................................... 38

    3.5. Sample Preparation ....................................................................................................... 39

    3.6. Sample Testing .............................................................................................................. 40

    3.6.1. Mechanical Tests Done .......................................................................................... 40

    3.6.1.1. The Point Load Test. ........................................................................................ 40

    3.6.1.2. The Schmidt Hammer Test .............................................................................. 42

    3.6.1.3. Brazilian Splitting Test .................................................................................... 42

    3.6.1.4. Ultrasonic Pulse Velocity Test......................................................................... 43

    3.6.1.5. UCS and E Test ................................................................................................ 43

    3.6.2. Physical Tests Done ................................................................................................ 45

    3.6.2.1. Moisture Content Test...................................................................................... 45

    3.6.2.2 Specific Weight Test ......................................................................................... 45

    3.6.3. Order of Testing...................................................................................................... 45

    Chapter 4 Results, Analysis and Discussion ........................................................................ 47

    4.1. Introduction ................................................................................................................... 47

    4.2. Test Results ................................................................................................................... 47

    4.2.1. Mechanical Test Results ......................................................................................... 47

    4.2.1.1 The Schmidt Hammer Test ............................................................................... 47

    4.2.1.2 The Point Load Strength Index Test. ................................................................ 48

    4.2.1.3. The Ultrasonic Pulse Velocity Test ................................................................. 48

    4.2.1.4. The Brazilian Splitting Tensile Test ................................................................ 49

    4.2.1.5. The UCS Test ................................................................................................... 49

    4.2.1.6. The Youngs Modulus of Elasticity Test ......................................................... 50

    4.2.2. Physical Tests Results ............................................................................................ 53

    4.2.2.1. The Moisture Content Test. ............................................................................. 53

    4.2.2.2 The Unit Weight Test........................................................................................ 53

    4.3 Generated Relations ....................................................................................................... 54

    4.3.1. UCS Relations with Mechanical Properties ........................................................... 55

    4.3.1.1. UCS vs. HR....................................................................................................... 55

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    VII

    4.3.1.3 UCS vs. Vp ........................................................................................................ 63

    4.3.1.5. E vs. UCS ......................................................................................................... 68

    4.3.2 Multiple Regression Models .................................................................................... 71

    Chapter 5 Summary, Conclusion and Final Recommendations....................................... 76

    5.1 Summary ........................................................................................................................ 76

    5.2 Conclusion ...................................................................................................................... 77

    5.3 Recommendations for Future Research ......................................................................... 78

    References ................................................................................................................................ 79

    Appendixes.............................................................................................................................. 83

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    VIII

    List of Tables

    Table 2.1: Relation For Different Is(50) Classes 22

    Table 2.2: Recent BST Relations Collected By Nazir 25

    Table 2.3: Correlations Found By Yassar and Erdogan 27Table 3.1: Summary of Borehole Locations and Data 34

    Table 4.1: Confidence Interval Estimate of Expected Values of HR 47

    Table 4.2: Confidence Interval Estimate of Expected Values of Is(50) 48

    Table 4.3: Confidence Interval Estimate of Expected Values of VP 48

    Table 4.4: Confidence Interval Estimate of Expected Values of S t 49

    Table 4.5: Confidence Interval Estimate of Expected Values of UCS 50

    Table 4.6: Confidence Interval Estimate of Expected Values of E 50

    Table 4.7: Confidence Interval Estimate of Expected Values of 53

    Table 4.8: Confidence Interval Estimate of Expected Values of 53

    Table 4.9: Relation Cases Codes 55

    Table 4.10: Relations Between UCS and HR, General Case 56

    Table 4.11: Other Relations Summary Between UCS and HR 56

    Table 4.12: Relations Between UCS and Is(50), General Case 58

    Table 4.13: Other Relations Summary Between UCS and Is(50) 59

    Table 4.14: Relations Between UCS and VP, General Case 63

    Table 4.15: Relations Between UCS and St, General Case 64

    Table 4.16: Other Relations Summary Between UCS and St, 65

    Table 4.17: Relations Between E and UCS, General Case 68

    Table 4.18: Other Relations Summary Between E and UCS 69

    Table 5.1: Summary of Direct Relations 77

    Table 5.2: Summary of Multiple Regression Relations 77

    Table A.1: Schmidt Hammer Test, All Results 84

    Table A.2: Point Load Strength Test, All Results 86Table A.3: Ultrasonic Pulse Velocity Test, All Results 90

    Table A.4: Brazilian Test, All Results 92

    Table A.5: Unconfined Compression Strength Test, All Results 94

    Table A.6: Modulus of Elasticity Test, All Results 98

    Table A.7: Moisture Content Test, All Results 99

    Table A.8: Unit Weight Test, All Results 103

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    IX

    List of FiguresFigure 2.1: Rock Slope Stability 7

    Figure 2.2: Felton Quarry Granite Slope Failure 8

    Figure 2.3: Copiap Mining Accident 2010 9

    Figure 2.4: Illustration of Rock Foundation of Burj Khalifa 10

    Figure 2.5: House Poarch Foundation Stones 10

    Figure 2.6: Clastic Rock Classification Scheme 13

    Figure 2.7: Different Types of Sedimentary Rocks 13

    Figure 2.8: Arabian Plate and UAE Position 14

    Figure 2.9: Summary Stratagraphic of the UAE Foreland Basin 16

    Figure 2.10: Different Compression States of Rocks 20

    Figure 2.11: UCSIs(50) Linear and Power Relation By Tsiambaos and Sabatakakis 22

    Figure 2.12: UCSIs(50) Stratified Relation By Tsiambaos and Sabatakakis 22

    Figure 2.13: UCS vs. HRRelation By Shalabi etal. 24

    Figure 2.14: UCS vs. HRRelation By Yilmaz and Sendir 24

    Figure 2.15: UCS vs. BST Relation By Nazir 26

    Figure 2.16: Comparison of Different Studies With Lab Work By Nazir 26

    Figure 2.17: Vpvs. UCS Relation By Yassar and Erdogan 27

    Figure 2.18: Vpvs. E Relation By Yassar and Erdogan 28

    Figure 2.19: Average Modulus of Elasticity Calculation 28

    Figure 2.20: 3D Visualization of Equation 2.7 30

    Figure 2.21: Nomograph Constructed for Equation 2.7 30

    Figure 2.22: UCS vs. Relation By Mohd 31

    Figure 3.1: General Work Plan For Thesis 33

    Figure 3.2: Sample Contribution By Place and Type 35

    Figure 3.3: Envelop Borehole Locations 35

    Figure 3.4: Flow Chart for Preserving and Transporting Rock Core Samples 36

    Figure 3.5: Sample ID Illustration 38

    Figure 3.6: Sample Ready for the Point Load Test 41

    Figure 3.7: Point Load Test Different Failure Patterns 41

    Figure 3.8: Failed Sample After Brazilian Test 43

    Figure 3.9: Sample Ready for the UCS and E Test 44

    Figure 3.10: Sample Testing Stages Flowchart 46

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    X

    Figure 4.1: Sample of Stress-Strain Diagrams of Samples 50

    Figure 4.2: UCS vs. HRRelation, General Case 56

    Figure 4.3: UCS vs. HRRelation, AV Case 57

    Figure 4.4: UCS vs. HRRelation, AW Case 57

    Figure 4.5: UCS vs. Is(50) Relation, General Case 58

    Figure 4.6: UCS vs. Is(50) Relation, AV Case 59

    Figure 4.7: UCS vs. Is(50) Relation, AW Case 59

    Figure 4.8: UCS vs. Is(50) Relation, CA Case 60

    Figure 4.9: UCS vs. Is(50) Relation, CW Case 60

    Figure 4.10: UCS vs. Is(50) Relation, MA Case 61

    Figure 4.11: UCS vs. Is(50) Relation, MV Case 61

    Figure 4.12: UCS vs. Is(50) Relation, SA Case 62

    Figure 4.13: UCS vs. Is(50) Relation, SV Case 62

    Figure 4.14: UCS vs. Is(50) Relation, SW Case 63

    Figure 4.15: UCS vs. VPRelation, General Case 64

    Figure 4.16: UCS vs. StRelation, General Case 65

    Figure 4.17: UCS vs. StRelation, AV Case 65

    Figure 4.18: UCS vs. StRelation, AW Case 66

    Figure 4.19: UCS vs. StRelation, CA Case 66

    Figure 4.20: UCS vs. StRelation, MA Case 67

    Figure 4.21: UCS vs. StRelation, SA Case 67

    Figure 4.22: E vs. UCS Relation, General Case 68

    Figure 4.23: E vs. UCS Relation, AV Case 69

    Figure 4.24: E vs. UCS Relation, AW Case 69

    Figure 4.25: E vs. UCS Relation, CA Case 70

    Figure 4.26: E vs. UCS Relation, MA Case 70

    Figure 4.27: Comparison of Works for Rebound Number HR 72

    Figure 4.28: Comparison of Works for Point Load Strength Index Is(50) 73

    Figure 4.29: Comparison of Works for Ultrasonic Pulse Velocity 74

    Figure 4.30: Comparison of Works for Brazilian Strength St 74

    Figure 4.31: Comparison of Works for Modulus of Elasticity E 75

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    1

    Chapter 1

    Introduction

    1.1. Background

    A closer look at the development projects and construction boom that occurred in the last

    decade in the United Arab Emirates gives thoughtful considerations about the construction of

    such major projects. In every construction project, geotechnical investigations are carried out

    to determine how the components of the project that interact with the soil should proceed.

    Geotechnical investigations vary in complexity and prices; some of them require days of

    sophisticated work, complex procedures to be followed and fortunes of money to be spent.

    Therefore, geotechnical engineers thought about devising easier, less sophisticated and

    cheaper ways to estimate results of some important geotechnical parameters. Estimation of

    such parameters is also needed to overcome sampling and handling problems. Estimation of

    parameters is typically done through generating empirical correlations that simplify

    estimation of the values of parameters with considerations to safety and efficiency.

    One of the most important rock parameters is the unconfined compressive strength (UCS) test

    of rocks, since it is used widely in rock classifications like Rock Mass Rating (RMR),

    analysis and design of rock related structures. Here, special sample preparation is involved. In

    the case of sedimentary rocks, UCS testing becomes harder due to the fact that the recovered

    rocks are sometimes of such geometric parameters that they are not allowed by the code to

    have the test performed on them, or some rocks fail in the preparation stage before

    performing the UCS test. Therefore, the need of a way to determine this important parameter

    arises.

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    2

    Moreover, due to the lack of information on local rocks, the main purpose of this work is to

    generate empirical relations between UCS of sedimentary rocks in the UAE and other

    relevant physical and mechanical properties.

    1.2. Problem Statement

    Rocks UCS is a very important test to be done on rock cores to give full understanding of the

    rocks capabilities to accommodate proposed project loads and to do the RMR classification

    analysis for rocks. Sometimes, Rock Quality Designation (RQD) of a certain core specimen

    is of a level so low that it is hard to find a core piece to perform the UCS test on, since codes

    require a special length to diameter ratio of (2:1) and received rocks condition usually

    doesnt meet this requirement. On the other hand, other tests can be done on these rocks' core

    specimens like the point load strength index, rebound hammer and many other tests.

    Therefore, it is assumed that there is a need for a simpler way to determine the UCS of rocks.

    As a result of all of the above, the researcher decided to write a thesis on relating the UCS of

    sedimentary rocks of the UAE to other mechanical parameters like point load strength index,

    Brazilian splitting strength, modulus of elasticity, rebound number and ultrasonic pulse

    velocity, as well as physical properties like bulk specific weight and moisture content. All of

    this in order to simplify the approach of estimating the UCS for sedimentary rocks in the

    UAE.

    1.3. Objectives

    The main objective of this research paper is to develop empirical relations between the UCS

    of sedimentary rocks in the UAE and other physical and mechanical properties of rocks. The

    specific objectives of the study are to relate the rocks UCS to mechanical parameters like

    point load strength index, Brazilian splitting strength, modulus of elasticity, rebound number

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    3

    and ultrasonic pulse velocity, as well as physical properties like bulk specific weight and

    moisture content. All tests were performed in accordance with the American Society of

    Testing and Materials procedure codes. All math works were done using the MATLAB

    software.

    1.4. Scope of Study

    The following steps were done to fulfill the work. First, previous studies regarding the same

    topic were reviewed. Next, a database with means of identification was created. Then, lab

    environment was prepared to receive, store and retrieve specimens. After that, sedimentary

    rock samples from different types (mudstone, crystalline gypsum, sandstone and calcarenite),

    from different areas in the UAE (western region, central Abu Dhabi City and Dubai) were

    acquired. Subsequently, lab tests on acquired samples were conducted. These tests include;

    unconfined compressive strength, modulus of elasticity point load strength index, Schmidt

    rebound, Brazilian splitting and ultrasonic pulse velocity tests, and were performed to

    determine the mechanical properties of rock specimens, while the bulk specific weight and

    moisture content test were performed to determine the physical properties of rock specimens.

    The created database was then filled with the worked test results ready for relation generation

    between data from different performed tests. Afterwards, the correctness and integrity of

    found relations was checked versus previously done work regarding the same subject.

    Finally, Mathematical representation of relations plots was done.

    This thesis has 5 chapters; chapter 1 presents study background, problem statement,

    objectives, significance of the study and study limitations. Chapter 2 presents the literature

    review done for the thesis. Chapter 3 discusses methodologies of testing, lab environment and

    worked data digestion. Chapter 4 presents and discusses results found in the lab. And, chapter

    5 states conclusions and recommendations.

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    4

    1.5. Engineering Significance

    This thesis provides new and advanced knowledge about rocks in the UAE, as it brings

    together analysis of strength and different physical properties and rock types of the UAE with

    standardized international studies. This work is about developing relations between UCS of

    UAE sedimentary rocks with other different, easier to find parameters and widely used tests

    due to the lack of information about such properties. It is hoped that this work will provide a

    good tool topredict rocks UCS from other mechanical and physical parameters.

    1.6. Limitations of the Study

    All investigations were done on sedimentary rocks of the following types; sandstone,

    mudstone and crystalline gypsum in the UAE only. Therefore, careful generalization of

    generated correlations for any different rock types than the aforementioned ones and other

    regions than the UAE would be much recommended. Also, this study was conducted on

    samples in their as received condition.

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    5

    Chapter 2

    Literature Review

    2.1. Definition and History of Rock Mechanics and Engineering

    2.1.1. Definition of Rock Mechanics and Engineering

    After many studies in the field of rock mechanics and engineering (RME), researchers in this

    field have agreed to use Judds definitionof RME, which was stated in 1964 and amended in

    1974 to become as follows Rock mechanics is the theoretical and applied science of the

    mechanical behavior of rock and rock masses; it is that branch of mechanics concerned with

    the response of rock and rock masses to the force fields of their physical environment.This

    definition is more convenient in mining works as mine excavation changes force fields that

    rock masses encounter. Additionally, Brady, B. and Brown, E. (2005) noted that rock

    mechanics is a diverse science based on the type of rocks considered in the study. For

    example, if fragmented or weathered rocks are considered, then rock mechanics approaches

    soil mechanics. On the other hand, if rocks are at inaccessible depths for mining and drilling,

    rock mechanics approaches mechanical aspects of structural geology. The definition of rock

    engineering can be rewritten to conform with engineering definition by Smith (2012) which

    was The creative application of scientific principles to design or develop structures,

    machines, apparatus, ormanufacturingprocesses, or works utilizing them singly or in

    combination; or to construct or operate the same with full cognizance of their design; or to

    forecast their behavior under specific operating conditions; all as respects an intended

    function,economicsof operation andsafetyto life and property, to be the following The

    creative application of scientific principles of rock mechanics to design or develop rock

    related structures and to forecast and monitor their behavior under recommended operating

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    6

    conditions with respects of intended function,economicsof operation andsafetyto lives and

    properties.

    2.1.2. History of Rock Mechanics and Engineering

    Jaeger (1979) and Hoek (2006) have diligently studied the history and development of RME.

    They disagreed on the date of the establishment of RME as a modern discipline. Jaeger gave

    examples of construction of tunnels in the Alps Mountains in the late 19 th century. He

    thought that the first notice of residual stresses on rocks was back in 1874 when the German

    tunnel expert, Rziha, noted the bursts and squeezing in the tunnels and galleries of the Alps

    Mountains. He further stated that Heim, a professor at Zurich University and Zurich Federal

    Institute of Technology, concurred with Rzihas observation. Heim suggested that the order

    of magnitude of horizontal forces acting on rocks in these mountains had to be the same as

    the vertical forces acting on them. Jaeger observed that the first attempt at rock mechanics

    was in 1926 when Schmidt conducted a thesis of which he related what Heim suggested

    about residual stresses in rocks to the newly formulated ideas about rock elasticity.

    Alternatively, Hoek had a different date of the beginning of rock mechanics and engineering.

    He believed that rock engineering was considered a modern discipline as early as 1773 when

    Coulomb had included results of Bordeaux rocks testing results in a thesis that was read

    before the French academy in Paris. Hoek also gave the construction of the Panama Canal as

    an example of the development of RME. He stated that 60 slides occurred in the cuts along

    the Panama Canal during its construction and its operation (1910 1964). Hoek stated that

    Lutton and others have concluded in 1979 that slides have occurred because of the structural

    discontinuity of rocks. Hoek also reiterated a part of Karl Terzaghispresidential speech in

    the first international conference on Soil Mechanics and Foundation Engineering in 1936

    about the Panama Canal slides The catastrophic descent of the slopes of the deepest cut of

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    7

    the Panama Canal issued a warning that we were overstepping the limits of our ability to

    predict the consequences of our actions.

    2.2. Main Areas of Interest in Rock Mechanics and Rock Engineering

    One can confidently claim that RME is a science by itself that has its own areas of interest.

    The following is a demonstration of some of the main areas of interest which are classified

    based on a personal point of view of analysis and design logic.

    2.2.1. Interests in Rock Slopes Stability

    Slope stability is a branch of geotechnical engineering which deals with the assessment of

    static and dynamic effects on different kinds of slopes; earth and rock-fill dams, slopes of

    other types of embankments, excavated slopes and natural slopes in soil and soft rocks. (US

    Army Corps of Engineers, 2003) Based on the previous definition, it could be conclude that

    rock slope stability is a conjoined science between slope stability and RME as shown in

    Figure 2.1. The rocks UCS plays an important role here.

    The concern with the stability of rock slopes is associated with the major safety concerns of

    many areas in the world which are settled next to a rock slope. This becomes more important

    in the case of open mines and quarries, since any rock slope failure would result in not only

    SlopeStability

    RockMechanics

    and

    Engineering

    Figure 2.1: Rock Slope Stability

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    8

    working site hazards but also possible economic consequences due to the subsequent fixing

    and rehabilitation required so they could be used again as reported by Rogers (1995).

    Figure 2.2 shows the failure of Felton quarry, Santa Cruz, California on November 20, 1992.

    2.2.2. Interests in Shafts, Tunnels, Caverns and Underground Mines

    It is easy to note the variation in sizes and applications among all main areas of interest in

    RME. However, all of them share the main concept of analysis and design. As stated

    previously in the definition of RME, it is concerned with the stress state in rocks before and

    after the construction of rock related structures, especially in shafts and similar types of

    structures where the main construction concept of them, briefly speaking, is to analyze the

    stress state of the rock containing them in order to provide the design solution for the project.

    The UCS of the rock is very much needed here. Any mistake in this step might be the

    deathblow of the whole structure. An example from memory is the Copiap mining accident

    in Chile on August 8th, 2010 reported in Wikipedia (2012). Figure 2.3 illustrates the accident.

    Figure 2.2: Felton Quarry Granite Slope Failure (Rogers, 1995)

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    9

    2.2.3. Interests in Rock Foundations

    Depending on the geotechnical conditions of the site, a geotechnical engineer has only two

    options: option one, to construct the project on or through soil which has its own design

    considerations, or, option two, to construct the project on or through rocks which have their

    different design considerations. A project constructed through rocks was addressed

    previously. A project constructed on a rock bearing stratum is the one considered here.

    Different design criteria are needed since the foundation supporting condition is different

    than soil. A good designing manual is the US army corps of engineers' manual number EM

    1110-1-2908, (1994). This manual gives a good idea about design considerations for large

    military and civil engineering structures in terms of design considerations, site investigation,

    rock characterization, bearing capacity, settlement considerations, different rock slopes

    stability and finally construction considerations.

    Figure 2.3: Copiap Mining Accident on 2010, Acquired from Wikipedia (2012)

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    Also, depending on rock depth and the proposed project the design parameters would change

    either to construct a small project on a shallow rock bearing stratum, or to construct a major

    project on a deep rock bearing stratum like the case of Burj Khalifa in Dubai, UAE, where

    piles where constructed through soil to reach the rock stratum which is about 50 meters deep.

    The following Figure 2.4 illustrates how the rock foundations for Burj Khalifa look like.

    Here, the rocksUCS played an important role in the design of this major project.

    One must not mix between rock foundations and the base stone that is found under porches of

    some houses in America. These stones serve as a raft for the house porch structural wise.

    See Figure 2.5. These stones might be rock foundation if the bearing stratum beneath them

    was rock.

    Figure 2.5: House Porch Foundation Stones (Brooks Stone Inc. 2011)

    Figure 2.4: Illustration of Rock Foundation of Burj Khalifa (Business Week, 2007)

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    2.3. Software Usage in Rock Mechanics and Engineering

    To facilitate the job for rock engineers and mechanics, many types of software have been

    developed in the area of rock mechanics and engineering. These software programs, in a

    personal point of view, are categorized in terms of the purpose of their usage. Some are used

    as lab analysis software; others are used for specific types of rock-structural analysis, and

    some offer rock analysis as an included accessory to the efficacy of a program.

    RocLab, offered by RocScience Inc. (2013), is a simple lab analysis software program in

    which small numbers of data are needed to calculate different parameters like Hoek-Brown

    Classification, Hoek-Brown Criterion, Mohr-Coulomb Fit, tensile strength, uniaxial

    compressive strength, global strength and deformation modulus along with major and minor

    stresses chart and normal-shear stress charts

    Other programs offered by RocScience Inc. offer specialized analysis software for various

    types of application. For example, Examine

    3D

    (2013) is specialized boundary element

    analysis software for rock structures like tunnels, caverns and other underground structures.

    A more advanced finite element method software like TNO DIANAoffered by TNO BV

    (2012) and Abacus offered by Simulia Inc. (2012) are very advanced and general finite

    element analysis software that can be utilized to solve different and complex rock structural

    analysis problems and designs.

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    2.4. Brief about Sedimentary Rocks

    In nature, rocks are categorized into three different types: igneous, metamorphic and

    sedimentary rocks. It might be believed that the most dominant rock type is the sedimentary

    rock as most people encounter this type in nature. But the fact is stated by Buchner, K and R.

    Grapes (2011) which is; sedimentary rocks are only 8% of the total volume of the earth crust,

    the area where all oceans and continents are placed.

    The best definition of sedimentary rocks is stated by Hamblin, K. and Christiansen, E.,

    (2009) as follows Sedimentary rocks are rocks that form from fragments derived from otherrocks and by precipitation from water. These rocks are usually classified based on their

    texture and composition into two categories, clastic rocks and chemical and biochemical

    rocks.

    A closer look at a clastic rock reveals the composition. Clastic rocks are formed from gravel,

    sand and mud fragments. The word clastic comes from the Greek word klastos, which

    means broken, and that implies the process of weathering and erosion of rocks, transportation

    of fragments to deposition sites and finally the precipitation process where fragments fuse

    with each other to form the sedimentary rock.

    The next Figure 2.6 shows clastic rocks' classification scheme which illustrates that clastic

    rocks are classified into three categories based on their grain size. Conglomerates, shown in

    Figure 2.7 (a), are those rocks with a grain size larger than 2 mm Rocks with grain sizes

    varying between (1/162) mm are called sandstone, shown in Figure 2.7 (b). Lastly, rocks

    with a grain size bellow 1/16 mm are named mudstones, shown in Figure 2.7 (c).

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    On the other hand, chemical and biochemical rocks are formed from the chemical

    precipitation or evaporation of salty lakes and shallow seas, from the growth process of some

    organisms like coral and some types of algae, or from the decay of hydrocarbons in deep

    sedimentary strata. Gypsum rock (CaSO42H2O), shown in Figure 2.7 (d), is a type of

    chemical sedimentary rocks that results from the evaporation of shallow seas. An example of

    chemical sedimentary rocks resulting from precipitation is Limestone, shown in Figure 2.7

    (e). Coal is a sedimentary rock resulting from the decay of hydrocarbon content of organisms,

    shown in Figure 2.7 (f).

    a b c

    d e f

    Figure 2.6: Clastic Rocks' Classification Scheme after Hamblin, K. and Christiansen, E., (2009)

    (a) Conglomerate (b) Sandstone (c) Mudstone (d) Gypsum rock (e) Limestone (f) Coal

    Figure 2.7: Different Types Sedimentary of Rocks

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    2.5. Geological History of the United Arab Emirates and Its Rocks

    Understanding the geological history of UAE is of utmost importance here, because it makes

    it easy to somewhat comprehend the formation of different types of geological formations in

    the country, down from sabkhas to mid high elevation sand deserts to the Hajar mountains in

    the eastern region of the country. Feulner (2005) conducted a research on the geological

    history of the UAE and Hajar mountains. He concluded that the UAE is located in the corner

    of the Arabian plate as shown in Figure 2.8 after Pierce (2002).

    The UAE is highlighted in dark red. The Arabian plate is considered relatively sTable since

    the Cambrian system of the Paleozoic era, about 520 million years ago, time scale-wise. The

    Arabian plate includes, besides the Arabian Peninsula, the not true ocean basin, shallow

    Arabian Gulf and the Zagros mountains. In the Chattian stage, about 25 million years ago, the

    Arabian plate was disjointed from the AfroArabian continent to form the Red Sea.

    Feulner also stated that the Precambrian history of the UAE can be known by reading the

    Precambrian sediments of Saudi Arabia and Oman. It shows that the UAE has participated in

    Figure 2.8: Arabian Plate and UAE Position (Dark Red) after Pierce (2002)

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    the late Precambrian glaciations. The UAE was often covered with shallow sea throughout its

    history.

    Feulner also stated that the movements of the Afro-Arabian plate during the Paleozoic caused

    it to pass near the southern pole. In the Mid-Paleozoic, the Afro-Arabian continent was joined

    to other continents to form the super continent of Gondwana, which began to breakup in the

    Permian and Triassic periods. The UAE attained tropical and sub-tropical latitudes since the

    end of Paleozoic era.

    Feulner also found that despite all the movements the UAE has made in its history; it still

    appears to be tectonically sTable. The only exception is the formation of Al-Hajar Mountains

    in the eastern region of the country. In general, the geological history of the UAE is just a

    record of the advance and retreat of the sea in response to tectonic and climate changes

    through time.

    Ali, M.Y. etal. (2013) carried out valuable research on the seismic stratigraphy and

    subsidence history of the UAE. In their work they presented a summary stratigraphic column

    of the geological rock sequence in the UAE foreland basin. Although their research was

    focused on oil bearing strata, the presentation way of their summary column is of great

    interest. They found that UAEs rocks are mainly carbonate rocks with small intercepts of

    sandstones, siltstones and shale.

    In their study they used locally used names for formations of the UAE with tectonic

    interpretation regarding geological conditions and events that contributed to making the

    subsurface history of the UAE in its known form. The following Figure 2.9 shows their work

    regarding the geological time of the UAE.

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    Figure 2.9: Summary Stratigraphic of the UAE Foreland Basin , Ali, M.Y. etal (2013)

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    2.6. Rock Classification

    Regardless of its different schemes, rock classification is considered beneficial in preliminary

    design. It can be used as a check list for information or as an idea developer of strength and

    deformation characteristics of rocks. Hoek (2006) did a good job in collecting different used

    rock classification schemes in his book. The following is a brief exhibition of encountered

    classification schemes in that book.

    a. Terzaghis rock mass classification: This classification scheme generated in

    1946 uses descriptive bases to classify rocks. In this scheme, rocks are

    classified into 7 categories; intact, stratified, moderately jointed, blocky and

    seamy, crushed, squeezing and swelling rock. This scheme is used to estimate

    rock loads which are carried by steel sets for tunnel designing purposes.

    b.

    Classifications involving stand-up time: The stand-up time is the time for a

    rock span being unsupported. The first researcher to propose the idea that rock

    quality is related to stand-up time was Lauffer in 1958. For tunnels, the

    unsupported span is the rock over the tunnel or between two supports. Some

    modifications have been done on what Lauffer proposed by Pacher and others

    in 1974 and are now part of the New Austrian Tunneling Method.

    c.

    Rock quality designation index (RQD): This classification is a quantitative

    scheme developed by Deere and others in 1967. The RQD is defined as the

    percentage of length of intact rock pieces longer than 100 mm in the total

    length of the core. The drill bit for this classification should be of size NX (

    = 54.7 mm) or larger.

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    d. Rock structure rating (RSR): a quasi-quantitative scheme developed by

    Wickham in 1972 to describe the quality of rock mass and to select the

    appropriate support in terms of tunnel construction. This system is considered

    a comprehensive system in terms of counting the different factors affecting the

    quality of the rock mass which are the geological considerations, geometry of

    proposed structure and effect of ground water inflow and joint conditions yield

    in the RSR number of maximum value of 100.

    e. Rock mass rating system (RMR): a widely used quasi-quantitative scheme to

    classify rock masses developed by Bieniawski in 1976 and amended by him in

    1989. This classification deals with many factors affecting the rock mass and

    is one of schemes that uses strength of material or unconfined strength as a

    criteria that contributes to the classification process. This scheme uses the

    following factors to fulfill a classification job; strength of material, rock

    quality designation (RQD), spacing, condition and orientation of

    discontinuities and groundwater condition. The range of this classification is

    from 0 (very poor) to 100 (very good).

    f. Rock tunneling quality index (Q): a widely used quasi-quantitative scheme

    developed by Barton in 1974 for rock mass characteristics and tunnel support

    requirements represented by a numeric value (Q) that follows logarithmic

    scale from 10-3 to 103. This scheme, unlike others, is a very advanced

    classification system that takes into consideration the effects of rock quality,

    joint conditions and stresses in a more rational way.

    One has to be cautious when using rock classifications as there might be shortcomings of the

    used scheme. Palmstorm and Broch (2006) worked on a thesis on the uses and misuses of the

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    Q rock classification scheme. They concluded that the shortcomings in the Q classification

    scheme make it not recommended for use when it comes to calculating the penetration rate

    (PR) and the advance rate (AR) for tunnel boring machines (TBM). They also strongly

    recommended against correlating different rock classification schemes through correlation

    equation. Furthermore, they quoted Terzaghi's statement in his last years The geotechnical

    engineer should apply theory and experimentation but temper them by putting them into the

    context of the uncertainty of nature. Judgment enters through engineering geology

    2.7. Unconfined Compressive strength (UCS) of Rocks

    2.7.1 Background

    There are three types of compressive strength tests of rocks. The first is the unconfined

    compressive strength (UCS) where only the axial load is applied to a rock sample and no

    lateral loads of any type are applied, mathematically speaking (UCS1> 0, UCS2= UCS3=

    0). The second is the triaxial loading where not only axial loading is applied on the rock

    sample, but also equal lateral loading is applied on the other two dimensions, mathematically

    speaking (UCS1 > UCS2 = UCS3). The third is the true triaxial loading, similar to triaxial

    loading but the difference being that lateral loads are not equal, mathematically speaking

    (UCS1> UCS2> UCS3). The true triaxial loading is done using cubical load sample (Jaeger,

    etal. (2007)). The following Figure (2.10) illustrates different compression types. (a) Implies

    UCS, (b) implies triaxial loading and (c) implies true triaxial loading

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    The most commonly used test is the UCS test as it is the easiest and less sophisticated among

    all three compression test types. Other tests are needed if further understanding of rock

    failure in semi-natural cases is required. But in general, rock triaxial and true triaxial are

    seldom performed in the UAE. Another advantage of rock UCS test is the UCS value that is

    used to determine the point bearing capacity of piles resting on rocks.

    This test is performed in accordance with the American Society of Testing and Materials

    (ASTM) code number D2938 (2002) requirements. Although this code was withdrawn in the

    year 2005 by the ASTM, the replacement code number ASTM-D7012 (2010), which is the

    unconfined compressive strength (UCS) and modulus of elasticity (E) testing procedures,

    specifies that the details of the testing procedure is acquired from the withdrawn code and

    using it is recommended. The following equation is used to determine the UCS,

    Where (Pu) is the ultimate load the sample can take and (d) is the samples diameter

    Figure 2.10: Different Compression States of Rock by Jaegar, etal. (2007)

    ...................................................... (2.1)

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    2.7.2. Relations between UCS and Mechanical Properties

    2.7.2.1 Relations between UCS and Point Load Strength Index (Is(50))

    The point load strength index test is performed in accordance with the ASTM-D5731 (2008)

    procedure and is meant to measure the rocks point load strength index, which is a very

    important numerical parameter in terms of rock strength.

    The following equation 2.2 was used to calculate the point load strength index Where (Pf) is

    the failure load and (d2) is the specimens diameter

    An interesting study was conducted by G. Tsiambaos and N. Sabatakakis (2004). The study

    was about considerations on strength of intact sedimentary rocks, which aimed to find

    correlations between point load strength index (Is(50)) with UCS (UCS) and Hoek-Brown

    material constant (mi). In their study, sedimentary rocks from Greece where used. They

    compared their work to the previous work of Bieniawski and the International Society of

    Rock Mechanics (ISRM).

    Based on their data, they concluded that the relation between point load index and UCS could

    be presented through three different models. The linear model was the first one shown in

    Figure 2.11 as the bold line. This model gave an accepTable value of R2 of 0.75. They

    concluded that their result is similar to the one found by Bieniawski and the International

    Society of Rock Mechanics (ISRM). The power model was the second one shown also in

    Figure 2.11 as the dashed curve. This model showed a better relationship as R2was 0.82. The

    classified linear model was the third one. They have observed that the point load index could

    be categorized into three different classes (I, II and III). For each class a conversion factor

    . (2.2)

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    was assigned to multiply with the point load strength index value in order to get the UCS

    value. The next Table 2.1 shows these classes which are shown in Figure 2.12.

    Table 2.1: Relations for Different (Is(50)) Classes Tsiambaos and Sabatakakis (2004)Class Is(50) Conversion Factor (UCS = Is(50) )

    I < 2 13

    II 25 20III 5 < 28

    Figure 2.11: UCSIs(50) Linear and Power Correlation by Tsiambaos and Sabatakakis (2004)

    Figure 2.12: UCSIs(50) Classified Correlation Tsiambaos, G. & Sabatakakis, N. (2004)

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    2.7.2.2. Relations between UCS and Schmidt Hammer Rebound Number

    The Schmidt rebound hammer test is performed in accordance with the ASTM-D5873 (2013)

    procedure and is meant to measure the rocks surface hardness either in situ or in lab to give arapid indication about the rocks strength. This test is best suited for rocks with UCS value

    between 1 to 100 MPa.

    Faisal Shalabi and his colleagues carried out research about estimation of rock engineering

    properties using hardness tests. The main idea was to estimate some important rock properties

    such as UCS, modulus of elasticity and Poissons ratio using easier and cheaper methodssuch as Schmidt hammer, shore scleroscope, abrasion, total hardness and unit weight. They

    used dolomite, dolomitic limestone, shale, dolomitic marble, deopside and anhydrite from

    different locations in California and New York as subject rocks for their study. All samples

    were of size NX (54 mm diameter), which is the minimum requirement to perform a Schmidt

    hammer test on rocks as per ASTM-D5873 (2013). They used standard practices to perform

    required tests. They concluded that linear model could be used to estimate the UCS of

    sedimentary rocks (Dolomite) from other properties such as Schmidt hammer rebound

    number (Hr) as shown in Figure 2.13.

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    Another interesting paper was about correlation of Schmidt hardness with unconfined

    compressive strength for gypsum from Sivas (Turkey) by Yilmaz and Sendir (2002). They

    used the exponential model to express this relation. The value of R2was as high as 0.96. The

    following Figure 2.14 shows their work.

    Figure 2.13: UCS vs HRRelation by Shalabi, F. et al. (2007)

    Figure 2.14: UCS vs HRRelation by Yilmaz and Sendir (2002)

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    2.7.2.3 Relations between UCS and Brazilian Splitting Tensile Strength

    The Brazilian splitting tensile strength test is performed in accordance with the ASTM-

    D3967 (2008) code and is meant to measure the rocks splitting tensile strength. The codestates that rock engineers require the determination of complicated stress fields where a

    combination of both compressive and tensile stresses are available. Furthermore, doing pure

    tensile strength test is theoretically applicable but very hard to do on a practical level. This

    test serves as an easy alternative to find this mechanical property of rocks. The following is

    the equation used to calculate the strength, where (Pu) is the failure load, (L) is samples

    height and (D) is the samples diameter.

    Nazir, R. etal. (2013) conducted a research regarding correlating UCS to the Brazilian

    splitting strength of lime stone samples. Firstly, they collected different relations from recent

    studies. The following Table 2.2 summarizes these relations. Here BST stands for St.

    Table 2.2: Recent StRelations Collected By Nazir, R. etal (2013)

    Source Year Equation R2 Type

    Kahraman etal 2012 UCS(MPa)= 10.61 St 0.50 Different rocks inc. limestone

    Farah 2011 UCS(psi)= 5.11 St133.86 0.68 Weathered limestoneAltindag etal 2010 UCS(MPa)= 12.38 St

    . 0.79 Different rocks inc. limestone

    They also stated that one of the most agreed upon correlations is the one done by Sheorey,

    where UCS equals 10 times the Brazilian splitting strength. They concluded that there is a

    relation between St and UCS which is presented in Figure 2.15. They also compared

    different previous work presented in Table 2.2. The following Figure 2.16 shows this

    comparison.

    (2.3)

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    Figure 2.16: Comparison of Different Studies with lab Work by Nazir, R. et al. (2013)

    2.7.2.4 Relations between UCS and Ultrasonic Pulse Velocity

    This test is performed according to the ASTM-D2845 (2008) code and is meant to measure

    the rocks ultrasonic pulse velocity, which can be correlated to different important rock

    properties like UCS, E and Poissons ratio (). It is important to mention that this test is not

    meant to measure stress wave attenuation. The sound velocity (VP) is found by the following

    equation;

    Where l = the length of specimen and t = is the time for a sound wave to move from the

    transducer to receiver in seconds.

    Figure 2.15: UCS vs. St(BTS) found relation by Nazir, R. et al. (2013)

    .... (2.4)

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    A paper was written by Yasar and Erdogan (2004) regarding correlating sound velocity with

    the density, compressive strength and Youngs modulus of carbonate rocks. The scope of the

    work was to correlate density, UCS and Youngs Modulus (E) for carbonate rocks in

    different areas in Middle Turkey (Adana). The linear model was used to present these

    relations. In their study, three types of rocks were used; Dolomite, Marble and Limestone.

    Correlating different rock types with each other is an interesting idea since Marble is a

    metamorphic rock and other rocks were sedimentary. But from their point of view, they

    considered all as carbonate rocks. They concluded that there is a good linear relation between

    mean P-wave sound velocity (Vp) with UCS and E. The following Table 2.3 shows their

    results and the following Figures 2.17 and 2.18 show these relations.

    Table 2.3: Correlations Found By Yasar, E. & Erdogan, Y. (2004)

    Equation R

    Vp= 0.0317 UCS + 2.0195 0.80

    Vp= 0.0937 E + 1.7528 0.86

    Figure 2.17: VpUCS Correlation by Yasar, E. & Erdogan, Y. (2004)

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    2.7.2.5 Relations between UCS and Modulus of Elasticity

    As stated previously, the ASTM merged the determination of the UCS and the modulus of

    elasticity of rocks into one code starting from 2005. The code ASTM D-7012 (2010) is the

    standardized procedure now to perform the modulus of elasticity E test. In this thesis, the

    average modulus method was used to calculate the modulus of elasticity; which is the average

    slope of the apparently straight line of the stress strain diagram. This is shown in the next

    Figure 2.19.

    Figure 2.18: VpE Correlation by Yasar, E. & Erdogan, Y. (2004)

    Figure 2.19: Average Modulus of Elasticity Calculation as Per ASTM-D7012 (2010).

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    Strain () is calculated as per the following equation, where () is the instantaneous

    deformation and (L) is the sample length.

    This test is done simultaneously with the UCS test. In fact, this test can be considered a

    byproduct of the UCS test. Therefore it is logical to find the modulus of elasticity as a

    function of the UCS. Tziallas, etal. (2009) did good research in correlating the UCS to E

    through different models. They concluded that E can be determined as a function of UCS

    with high R2 value equals 0.95. The following equation 2.6 is their concluded correlation;

    where E and UCS are both in MPa.

    They also concluded that E can be determined as a function of both UCS and the longitudinal

    sound velocity Vp. The following equation 2.7 is their other concluded equation; where E is

    in GPa, UCS is in MPa and Vpis in m/sec.

    ( )

    They also visualized this correlation as a 3D diagram shown in Figure 2.20 and as a

    nomograph shown in Figure 2.21.

    . (2.6)

    (2.7)

    . (2.5)

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    Figure 2.20: 3D visualization of equation 2.7 by Tziallas (2009)

    Figure 2.21: Nomograph constructed for equation 2.7 by Tziallas (2009)

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    2.7.3. Relations between UCS and Physical Properties

    2.7.3.1 Relations between UCS and Bulk Specific Weight

    The specific weight of rocks is determined according to the South Carolina department of

    transportation code number SC-T-39 (2008). This procedure is considered one of the easiest

    procedures done. The following equation 2.8 explains how it is calculated

    Where W is the sample weight and V is the sample volume. The methodology is to measure

    the total weight and divide it by the total volume which counts for all voids in the specimen.

    In any case, it is assumed that the denser the specimen, the stronger it will be. A study

    confirms that was carried out by Mohd, B. (2009).He also concluded that there is a good

    relation between specific weight and UCS of a regression coefficient R2as high as 0.9666.

    Here he correlated density to UCS. In fact, the specific weight is nothing but the density

    times the acceleration of gravity (g) therefore this fixed value can be included easily in the

    correlation without jeopardizing the accuracy of the results. The following Figure 2.22 shows

    the found relation.

    . (2.8)

    Figure 2.22: UCS Relation by Mohd, B. (2009)

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    2.7.3.2. Relations between UCS and Moisture Content

    The moisture content is determined as per the ASTM-D2216 (2010) code. The procedure to

    perform this test is described in the following chapter. The following equation 2.9 describes

    how to calculate moisture content by mass.

    Where Mi is the as received mass and Mov is the oven dry mass. The methodology is

    summarized as measuring the masses of the rock specimen before and after placing it in the

    oven for a certain time and temperature. It is believed that moisture content influences UCS.

    . (2.9)

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    Chapter 3

    Experimental Program

    3.1. Introduction

    To achieve the proposed objectives of the study, lab and office works were conducted on a

    set of samples from different locations in UAE. All Samples were acquired from the UAE's

    coastal zone; the western region (W.R.), Abu Dhabi region (A.D.) and northern Emirates

    region (N.E.). These samples were prepared and tested in accordance with the ASTM for all

    tests except for the unit weight test where the code of South Carolina Department of

    Transportation was used. The next Figure 3.1 shows the work plan flow. Every step of this

    plan is a section of this chapter.

    3.2. Sample Collection

    In order to produce consistent and relaTable results, it was decided to have the sample span in

    the core be of 1 meter length in order to ensure the uniformity of the tested samples. All cores

    Sample Collection

    SampleTransporting and

    Storing

    Sample Identification

    Define Type and Depth ofEach Sample

    Number The samples forEase of Access

    SamplePreperation

    Sample Testing

    Mechanical Tests Physical Tests

    Data Processing

    Figure 3.1: General Work Plan of the Thesis

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    were of size HX (76.2 mm) to avoid misleading results in mechanical tests. The following

    Table 3.1 shows in detail the core locations in UTM coordinates with a summary about them.

    Table 3.1: Summary of Borehole Locations and Data Northing Easting UTM UAE* Total Depth (m) of Samples

    1 2767823 305716 40R N.E. 16.5 7

    2 2767806 305732 40R N.E. 32 6

    3 2767751 305786 40R N.E. 30 1

    4 2767738 473700 40R N.E. 15 3

    5 2650178 626625 39R W.R. 15 14

    6 2768393 335292 40R N.E. 15 11

    7 2660156 643514 39R W.R. 20 20

    8 2660214 643604 39R W.R. 20 16

    9 2707345 230782 40R A.D. 20 15

    10 2707747 234323 40R A.D. 30 25

    11 2724650 249993 40R A.D. 20 15

    12 2724617 249987 40R A.D. 20 16

    13 2694666 249562 40R A.D. 20 14

    14 2692041 249007 40R A.D. 20 15

    15 2718238 266660 40R A.D. 8 5

    16 2707685 259667 40R A.D. 35 20

    17 2706781 259435 40R A.D. 35 20

    18 2696124 267506 40R A.D. 20 15

    19 2706530 259174 40R A.D. 35 25

    20 2666105 752296 39R W.R. 20 121 2704006 253194 40R A.D. 20 18

    22 2702117 251995 40R A.D. 15 11

    23 2706744 258934 40R A.D. 35 25

    24 2701589 256627 40R A.D. 20 11

    25 2703094 255158 40R A.D. 20 11

    26 2706864 259161 40R A.D. 35 20

    27 2706648 259576 40R A.D. 35 15

    28 2699153 267310 40R A.D. 20 10

    29 2783068 328432 40R N.E. 15 4

    30 2783332 328266 40R N.E. 15 131 2783338 328620 40R N.E. 10 1

    32 2784128 329250 40R N.E. 15 3

    33 2783412 329433 40R N.E. 15 1

    34 2787555 326779 40R N.E. 50 5

    35 2802955 337470 40R N.E. 15 5

    36 2802912 337430 40R N.E. 15 5

    37 2802818 337489 40R N.E. 15 2

    38 2802960 337425 40R N.E. 30 4

    39 2813801 345495 40R N.E. 25 3

    Total Number of Samples 419

    *N.E. stands for Northern Emirates, A.D. stands for Abu Dhabi and W.R. stands for Western Region

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    Figure 3.2 shows the contribution of samples by location and type where Figure 3.3 shows

    envelop of borehole locations.

    73%

    15%

    12%

    Sample ContributionBy Place

    Abu Dhabi

    Northern Emirates

    Westren Region

    21%

    45%

    34%

    Sample ContributionBy Type

    Crystalline Gypsum

    Mudstone

    Sandstone

    (a) (b)

    Figure 3.2: Sample Contributions (a) by Place, and (b) by Rock Type

    Figure 3.3: Zone of Borehole Locations, Acquired from Google Maps (2013)

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    3.3. Sample Transporting and Storing

    To ensure the integrity of the acquired cores, the ASTM-D5079 (2008) practice code was

    used in transporting and preserving rock core samples. This code gives very detailed

    procedures for samples from the time they are recovered from cores till the deposition of the

    samples or storing for a certain period of time for future testing. The code provides a nice

    flow chart for personnel in charge of all stages of core recovery, transporting, testing and

    storage. The following Figure 3.4 shows this flow chart which is quoted with alteration from

    the code.

    1. Sample RecoveryFrom Drill

    2. Handling 3. Core Photography

    4. Initial Logging

    5. Sample Protection

    Routine CareSpecial CareCritical CareSoil Like Care

    6. Preparation ofStorage and Shipping

    Containers

    7. Transportation 8. Storage9. Specimen

    Preparation

    10. Testing

    Figure 3.4: ASTM Flow Chart For Preserving and Transporting Rock Core Samples (2008)

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    Some geotechnical laboratories cooperated in granting all studied rock core specimens.

    Therefore, due to their expertise, the chart steps 1 through 6 were assumed to be

    professionally done. Steps 7 through 10 were done again in transporting samples from

    laboratories to the university through testing of samples. Thankfully, all samples didnt

    require special transportation therefore a normal truck was used to transport samples.

    Regarding storing of samples, the code specifies special measurements for storing if test

    results are affected by storing conditions. In this study, only the moisture content test required

    special storing measurements whereas all other tests required the normal rock core box

    storing measurements.

    The next step was specimen preparation for tests. This step was very important as it defined

    which test came before the other. Before that, all samples were identified for ease of use and

    access of data collected from various tests. Identification and preparation of samples are

    addressed in the next sections.

    Another important step is sample protection. Although this step can be considered as sample

    identification related step because it involves some identification, this identification is

    required to determine how the sample processing should proceed. This identification means

    extra protection measures for every class. Class one is the routine care which is for cores of

    1.5 meters run and larger. If cores are less than 3 meters run, they are stored in structurally

    sound core boxes. If they are longer than 3 meters run, they are placed in slightly wider and

    longer PVC pipes. Here, core runs of 1 meter were considered the base for core box storing.

    The second class is the special care class. It is necessary if the moisture condition is needed.

    In addition to storing in structurally sound core boxes, vinylidene chloride seal is

    recommended. The third class of care is the critical care which is needed for sample

    protection against shock, vibration and variations in temperature. The fourth and last class of

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    care is soil like care. Logically and by the code one can consider dealing with these cores as

    soil. Thankfully, only class two of care was needed as a result of the as received situation of

    the cores.

    3.4. Sample Identification

    For ease of access, an identification system was established. Samples were given an ID of the

    form XYZ-a-b. This is illustrated in the following Figure 3.5.

    For example; sample ID (BY-5-08) means this sample is acquired with Baynunah labs, taken

    from the 5thborehole acquired with that lab and 08 means this is the 8 thsample acquired from

    that borehole.It is good to mention here that the greater the sample number, the deeper the

    sample. For tabulation purposes, the ID itself represents three columns of data; XY, a and b

    data columns. This made it easy to store the sample depth and type in the database

    established for this purpose. Here it is good to mention that the code assigned for the three

    rock types is the following; CRGP is crystalline gypsum, MUDS is mudstone and SANDS is

    sandstone.

    ID: XYZ-a-b

    XYZ = Lab Name a = Core Number b = Sample Number

    Figure 3.5: Sample ID Illustration

    AC: Arab Center for Engineering Studies

    GC: Gulf Laboratory

    BY: Ba nunah Laborator

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    3.5. Sample Preparation

    Depending on the test, one can decide if the specimen requires preprocessing or not. Some

    tests like the UCS and E tests require special preparation, whereas other tests dontneed any

    preparation, such as the point load test. All samples were cut using the diamond rock core

    cutter for the UCS and E, Brazilian splitting, and ultrasonic pulse velocity where the

    geometry of the sample is required to perform these tests as explained in the next section.

    In fact, only the UCS and E test needed special sample preparation. Since the height to

    diameter ratio of the sample has to be 2:1 sharp with a very low margin of error. Moreover,

    the two surfaces of the sample had to be parallel to each other with a very low margin of error

    and vertical to the sample with, likewise, a very low margin of error. These margins and

    checking methods are stated in the ASTM D-4543-08 code. This method involves three

    checks of the sample, and these are; the deviation from straightness, flatness and

    perpendicularity of ends checks as follows;

    For straightness check, the sample was placed on a horizontal surface prepared for this check.

    The sample was then rolled on that surface to check the straightness. Any sample that had a

    gap more than 0.5 mm didnt meet the straightness check.The check of flatness was done as

    per procedure 5.2 B of the code. In this procedure, the sample was placed on the horizontal

    surface. Then a dial gage of precision 2.5 m was set in contact with the specimen. Readings

    of three diameters were taken for the specimen. If the difference between maximum and

    minimum readings of the diameter was less than 38 m, the sample was accepted.

    For perpendicularity check, the sample was placed on the horizontal surface again with a true

    square being in contact with the specimen. Then the sample is rotated to find the maximum

    gap between the specimen and the square. If the gap to the length ratio was less than 1:230

    then the sample met the perpendicularity requirements.

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    Some samples happened to be very weak. In fact it was very hard to be prepared to meet the

    ASTM-D4543 (2008), section 5.2 requirements even with best effort as the code stated,

    which was using a very sharp diamond cutter and dry cutting methodology operated by a very

    experienced person. The code here gave a concession for this case as the code directed to cut

    the sample to desired length and apply end caps to specimen.

    3.6. Sample Testing

    The following is a demonstration of the detailed procedures used to perform tests. Tests are

    classified into mechanical tests; point load, Schmidt hammer, Brazilian splitting, ultrasonic

    pulse velocity and UCS and E tests; as well as physical tests; moisture content, and specific

    weight tests. Tests are presented in that order to make it easy for the reader to navigate

    through their procedures.

    3.6.1. Mechanical Tests Done

    3.6.1.1. The Point Load Test.

    As stated previously in chapter 2, this test was done in accordance with ASTM D-5731-08.

    This test was performed by subjecting a rock specimen to an increasing concentrated load

    until splitting of the specimen. The concentrated load was applied through coaxial conical

    platens. The failure load was used to calculate the point load strength index by equation 2.2

    which was used to estimate the UCS. The Figure 3.6 shows a sample ready for the test. This

    test was done as follows;

    A qualifying sample was of length to diameter ratio of 1:1 or more (no preparation

    needed)

    The diameter of the sample was then recorded

    Sample was then inserted into the machine and platens were closed to form contact

    with the diameter of the specimen. Here the contact point had to be in the middle if

    the sample

    Sample was then subject to steadily increasing load until failure occurred

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    The failure load and pattern were recorded

    If the failure pattern was the same as Figure 3.7 (a) the test was conducted perfectly

    If the failure pattern was the same as Figure 3.7 (b) the test was rejected.

    (a) (b)

    Figure 3.7: Point Load Test Different Failure Patterns as Per ASTM-D5731 (2008)

    (a) Accepted (b) Rejected

    Figure 3.6: Sample Ready for the Point Load Test

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    3.6.1.2. The Schmidt Hammer Test

    As stated previously in chapter 2, this test was done in accordance with ASTM D-5873-13.

    This test was performed by subjecting a rock specimen to shock load without resulting in the

    failure of the specimen. The shock load was applied through a rebound hammer (Schmidt

    hammer). The height of the plunger after the shock was then recorded to calculate the

    rebound number which was used to estimate UCS. This test was done as follows;

    The rigid base was placed on a firm surface

    Sample was then firmly tightened to that base

    The verticality of the rebound hammer was achieved by using a vertical guide Plunger head was distanced more than one diameter from the edge

    Ten shocks were given on various areas of the sample by gradually pressing the

    plunger on the specimen

    The average of these ten readings was calculated

    Any result that deviated by more than 7 units was canceled and the averaging wasdone again to determine the rebound number (HR)

    The test was rejected if the sample failed before completing the test.

    3.6.1.3. Brazilian Splitting Test

    As stated previously in chapter 2, this test was done in accordance with ASTM D-3967-08.

    This test was performed by subjecting a rock specimen to an increasing concentrated load

    until splitting of the specimen. The concentrated load was applied through coaxial flat

    platens. The failure load was used to calculate the tensile strength of the sample by equation

    2.3 which could be used to estimate the UCS. This test was done as follows;

    Samples were prepared as per ASTM D-4543-08. The thickness to diameter ratio was

    to be between 0.2 and 0.75. Thickness and diameter were recorded

    Samples were then marked on their diameter to ensure proper positioning in theloading machine

    Then, samples were positioned in the loading frame

    After that, samples were loaded until failure of samples as shown in Figure 3.9

    The failure load was recorded for all samples and the strength was calculated for all

    samples as per equation 2.3

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    3.6.1.4. Ultrasonic Pulse Velocity Test

    As stated previously in chapter 2, this test was done in accordance with ASTM D-2845-08.

    This test was performed by subjecting a rock specimen to an ultrasonic pulse. This pulse was

    applied by a transducer and received by a receiver. The machine records the time a pulse

    needed to travel from the transducer to the receiver. Then the pulse velocity was calculated

    by equation 2.4 which was then used to determine some parameters for the rock of which

    UCS is one of them. This test was done as follows;

    Samples finely prepared as per ASTM D-4543-08. Length to diameter ratio was

    recommended not to exceed 5 and at least 10 times the larger grain size. The length of

    the sample was recorded

    Samples were then marked for the place of transducer and receiver placement

    Then, grease was applied to surface of samples, transducer and receiver to ensure noair is entrapped between the apparatus and the sample

    The sample was then subjected to ultrasonic pulse. The time of travel was recorded

    for each sample

    The pulse velocity was then calculated by equation 2.4

    3.6.1.5. UCS and E Test

    As stated previously in chapter 2, UCS and E are usually done simultaneously. This test

    was done in accordance with ASTM D-7012-10 methods C and D. A rock core specimen was

    cut to achieve an aspect ratio of 2:1. The ends were engineered. The specimen was placed in

    a loading machine. Axial load was applied gradually and increasingly on the specimen.

    Deformation was measured as a function of load until peak load and failure happened. Then

    Figure 3.8: Failed Sample after Brazilian Test

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    the UCS was calculated by equation 2.1 and E was calculated as per equation 2.5 and Figure

    2.18. Figure 3.10 shows a sample ready for the test. This test was done as follows;

    Samples finely prepared as per ASTM D-4543-08. Length to diameter ratio was to be2:1 The length and diameter of sample were recorded

    Samples were then placed in the loading machine connected to a computer to record

    load and its corresponding deflection to construct the stress strain diagram

    After that, samples were loaded until their failure

    The extreme load was used to determine the UCS as per equation 2.1

    The whole record was converted into stress strain diagram as per equations 2.1 and

    2.5 and Figure 2.19. (E) was then calculated from the stress strain diagram

    Figure 3.9: Sample Ready for the UCS and E Test

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    3.6.2. Physical Tests Done

    3.6.2.1. Moisture Content Test

    As stated previously in chapter 2, this test was done in accordance with ASTM D-2216-10. A

    test specimen was dried in an oven at a temperature of 110 5C to a constant mass. The

    loss of mass due to drying is considered to be water. The water content is calculated using the

    mass of water and the mass of the dry specimen. The moisture content is then calculated by

    equation 2.11. The following is the detailed procedure;

    Specimens masses before drying were recorded Specimens then were placed in an oven at a temperature of 110 5C for 24 4 hrs

    Specimens then were removed from oven and left to cool down to room temperature

    Specimens masses after drying were recorded Moisture content is calculated by equation 2.11

    3.6.2.2 Specific Weight Test

    As stated previously in chapter 2, this test was done in accordance with SC T 39-08.

    Specimens dimensions and weight were recorded and the specific weight was calculated as

    per equation 2.10.

    3.6.3. Order of Testing

    A closer look at the specifications of performed tests and its influence on the sample in terms

    of destructivity reveals many facts. To ensure the correctness of moisture content test results,

    it was decided to perform it first, just after removing the sample cover. Therefore the stage

    one of testing was the moisture content.

    As mentioned earlier, sample preparation for other tests required accurate measurements and

    cautious cutting of samples depending on their condition. This processing was required for

    geometry related tests like unit weight, ultrasonic pulse velocity, UCS and E, and Brazilian

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    splitting strength tests. Also, the unit load test was the simplest test done so it was decided to

    combine the unit weight test with sample preparation in one stage (stage two).

    For the ultrasonic pulse velocity and The Schmidt hammer tests, it was obvious that no

    sample destruction resulted. Therefore it was decided to group both tests in stage three. Stage

    four was the last stage; all destructive tests were performed in this stage. It is good to mention

    that the desired sample span of 1 meter facilitated the conduction of all previously mentioned

    tests. Therefore, a sample segment was only tested once for stage three and four. The

    following Figure 3.11 summarizes these finding in a flowchart.

    Sample

    Stage OneMoisture

    Content

    Stage TwoSample

    Preparation

    Unit

    Weight

    Stage Three USPVSchmidt

    Hammer

    Stage Four

    Point Load

    UCS and E

    BrazilianSplitting

    Figure 3.10: Sample Testing Stages Flowchart

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    Chapter 4

    Results, Analysis and Discussion

    4.1. Introduction

    This chapter is dedicated to presenting, analyzing and discussing lab test results. Section 4.2

    presents all lab tests results with some statistical analysis and relations to rock types that were

    included in the study. Section 4.3 is dedicated to the correlation analysis, in order to meet

    goals and objectives set for the thesis. Section 4.4 holds a comparison between this thesiss

    results and previous work results presented previously in chapter 2.

    4.2. Test Results

    This section presents a summary of results for all experiments done, where statistical analysis

    was performed to define 95% confidence intervals estimate of the expected value from each

    test. All data are presented in appendixes

    4.2.1. Mechanical Test Results

    4.2.1.1 The Schmidt Hammer Test

    Since the capacity of the used rebound hammer varies between 10 and 90, nearly 12% of

    samples failed before the fulfillment of the test. Here, 210 samples passed this test. From a

    statistical analysis to determine the confidence interval of the expected value based on 95 %

    confidence, the results are given in the following Table 4.1. All data is in appendix Table A.1

    Table 4.1: 95% Confidence Intervals Estimates of Expected Values of (HR)

    Rock Type Minimum Expected Maximum Expected

    Any 15 16

    Mudstone (MUDS) 13 15

    Sandstone (SANDS) 15 17

    Crystalline Gypsum (CRGP) 15 18

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    4.2.1.2 The Point Load Strength Index Test.

    In this test, the apparatus used was more sensitive, although apparatuss gauges were

    analogue clock type gauges, and knowing that this test doesnt require further sampleprocessing, 419 samples were tested according to the point load test. Some samples just failed

    because of fastening the apparatus on the sample.

    This test is considered one of the most important tests as it is correlated directly to the UCS

    of rock and is widely used for its ease of application. Nonetheless, the following Table 4.2

    shows the result of the 95% confidence interval analysis for the expected value of test results