5.Underground Excavations in Jointed Hard Rocks Aug 2013

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    Jointed Hard Rocks

    1. Rock joints and stereographicprojection technique

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    Rock joints in Singaporesedimentary rocks

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    no er examp e o roc o n s nJURONG FORMATION

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    azimuth 0 o (north)to 360 o

    Dip angle :

    0o (horizontal) to90 o (vertical)

    Lower

    em sp er ca projection (beneath

    [Strike line is the horizontal line of a plane: angle from 0 o to 360 o]

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    Determination of discontinuity orientation

    eo og casurvey

    Example 331/82

    plane dips towardsapproximatelynorthwest (331 o) at82 o (almostver ca

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    Boreholecamera to

    jointorientation

    erna ve y,boreholes (at least 2with differentinclination) are drilledto intersect the samerock joint. This methodis outdated with the

    borehole camera.

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    Weakzones orcavitiesvo or n-

    filled)

    Good rock with some

    fractures at the lower part

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    Borehole Image Processor

    (After Kiso-Jiban)

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    (after Kiso-Jiban)

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    Camera

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    Borehole looking from top

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    360 degreeview (round

    theborehole)Depth

    -view ofrockphoto

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    - Note: Borehole water needs to be clear!

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    Sample log ofBIP (after Kiso-Jiban)

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    o n or en a on p o .

    How do geologists identify

    (a) Number of joint sets(b) Mean orientation of each joint set

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    Projection of weakness plane on a hemisphere

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    Stereographical projectiontechnique

    -

    a stereonet (2-dimensional) A line is re resented b a oint on the stereonet

    (trend 0 o to 360 o; plunge 0 o to 90 o)

    Two lines can form a lane which is re resentedby a great circle on the stereonet.

    The pole is a line perpendicular to a plane. Two planes will intersect at a line.

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    Stereonet

    Theexam le

    shown isan equalangleequatorial

    (Largescaledrawing

    providedin PDF

    file)

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    Raw data preferred discontinuity orientation(typically 3 to 5 sets at a given site)Note: Major discontinuity such asSee next 2 slides for exam le!fault line must be clearly identified.

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    Plots of concentration of poles ofdiscontinuities/weakness planes

    Determination of poleconcentration

    The pole is perpendicular to theweakness plane

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    The pole of a majorfault line should bemarked distinctl

    e.g.

    Some poles are more concentrated than others.

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    Demo of rock orientationanalysis using DIPS6 Program

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    Basic constructions using thestereonet

    Stereographical projection

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    .Rocks

    underground excavations in rock)

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    (a) Falling block (b) Sliding block along 1 plane orline of intersection of 2 planes

    Tunnel excavation with unfavourable discontinuity orientation

    (after Hoek and Brown, 1980)

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    Summary

    ver ang ng ree aces(rock above void) -Roof, overhanging side

    Non-overhanging free

    Side wall, floor, slopecut

    A falling or sliding blockconsists of 3discontinuities and 1

    excavation free face(e.g. roof)

    h l l

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    Stereographical analysis

    (b) Sliding block Note shadedregion does not cover centre of circle

    (a) Falling blockHoek & Brown Fig. 88 Fig. 89

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    determine rock blocks Page 2 - 3 for detailexplanation of the 2 failure modes (note Figs. 88and 89 referred in the above write-up are given

    in the previous slide of this PowerPoint handout) Refer to illustrative examples Example 1 Gravity fall

    xamp e ng e p ane s ng Example 3 Sliding along line of intersection of 2

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    Required combined

    bolts = F x Wwhere F = desired safety

    W = weight of fallingblock

    Refer to attachmentPage 4 5.

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    For sliding on 1 plane or lineof intersection of 2 planes,the shear strength of therock joint(s) (c and ) maybe sufficient to present the

    block from sliding. Minimumdesired safety factor = 2.

    If safety factor is inadequate,

    to enhance stability. Refer toEquations (90) and (91) on

    .

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    Typical rock bolt details

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    Vector methodcan be computerised

    Please refer to attached paper for details

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    computer program. Refer to

    compu er emons ra on

    .

    rock tunnel design (see next 3 slides).

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    Optimaltunnelexcavationaxis design

    Refer tocomputerdemonstration

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    Optimal tunnel support design

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    Analysis involving external force e.g. earthquake force, water pressure

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    ,

    non-overhanging) Refer to Hoek and Brown(1980) Inclined tunnel (i.e. non-horizontal tunnel). Use

    Inclined Hemisphere projection method. Refer toPriest SD. Hemispherical Projection Methods inRock Mechanics. (1985). George Allen & Unwin

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    .Reliability block stability analysis based on (a) K value of weakness

    ,Refer to Leung CF and Quek ST, "Probabilistic stability analysis of

    excavations in ointed rock". Canadian Geotechnical Journal, 32, no.3 (1995): 397-407.

    Quek ST and Leung CF, "Reliability-based stability analysis of rockexcavations". International Journal of Rock Mechanics and Mining

    -

    Block stability analysis involving multiple weakness planes (>3) usingBlock Theory.

    Refer toGoodman RE and Shi GH. Block Theory and its Applications to Rock

    Engineering. (1984). Prentice Hall.