Underground Excavation Design Shape

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler Underground Excavation Design Underground Excavation Design Shape Alfred Zettler

Transcript of Underground Excavation Design Shape

Page 1: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Underground Excavation Design

Underground Excavation Design

Shape

Alfred Zettler

Page 2: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Differences to other fields of engineering design?

The main difference to other engineering disciplines is that in rock mechanics the material is pre-determined

Steel or concrete design: The material is determined.

It is possible to choose materials with different characteristics.

Tests are easy to perform and to determine (Young’s Modulus, strength, ect.).

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Is it possible to influence the rock

mass behaviour?

There are possibillities to influence the rock mass behaviour around an underground opening:

Shape, Orientation and Support Measurements

To figure out the best shape and the best orientation is the most successful way to influence the rock mass behaviour around a tunnel.

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Shape of the underground opening

Theoretical basis of underground constructions

Theoretical material

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Theoretical Background

Mechanical Approaches

Continuum Mechanic

Discontinuum Mechanic

Fracture Mechanic

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Theoretical approach

Continuum Mechanic Approach

Linear elastic material

Linear elastic - ideal plastic material:

� Mohr Coulomb material

� Hoek Brown material

� Drucker Prager material

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Example Borehole

σr

σΘ

σ0

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic medium

a

b

σv

σv

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

0,0

0

0,2

0

0,3

3

0,5

0

0,7

0

0,9

0

3,0

0,3

0,0

1,0

2,0

3,0

4,0

5,0

6,0

7,0T

an

gen

tal S

tress S

idew

all

Lamda

a/b

Elliptical Hole in an Elastic Medium

6,0-7,0

5,0-6,0

4,0-5,0

3,0-4,0

2,0-3,0

1,0-2,0

0,0-1,0

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

Page 20: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

Page 21: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Elliptic hole in an elastic model

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Estimation of Boundary Stresses

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Estimation of Boundary Stresses

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Estimation of Boundary Stresses

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Estimation of Boundary Stresses

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Spherical Cavity Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Spherical Cavity Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Spherical Cavity Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Spherical Cavity Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Spherical Cavity Elastic Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Mohr Coulomb Material

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 34: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 35: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 36: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 37: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 38: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 39: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 40: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

Page 41: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Mohr-Coulomb Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Hoek–Brown Criterium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 45: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 46: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 47: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 48: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 49: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

Page 52: Underground Excavation Design Shape

Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Cylindrical Hole Infinite Hoek–Brown Medium

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Generalised Hoek – Brown Criterion

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Generalised Hoek – Brown Criterion

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Stresses Shape and Primary Stress

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Stresses Shape and Primary Stress

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Stresses Shape and Primary Stress

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Stresses Shape and Primary Stress

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Stresses Shape and Primary Stress

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Lined Circular Tunnel

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Discontinuum Mechanics

Figure: Hoek Rock Engineering, course notes

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Discontinuum Mechanics

Figure: Hoek Rock Engineering

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Underground Excavation Design Tunnel Design 2 Shape Alfred Zettler

Discontinuum Mechanics

Figure: Hoek Rock Engineering

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Underground Excavation Design Alfred Zettler

References

Hoek, E., P.K. Kaiser, W.F. Bawden, “Support of Underground Excavations in Hard Rock”, Balkema, 1995

Wittke, W., B. Pierau, C.Erichsen, „Statik und Konstruktion der Spritzbetonbauweise“, Verlag Glückauf, 2002

Wittke, W. „Stability Analysis for Tunnels – Fundamentals“, Verlag Glückauf, 2000

„Empfehlungen des Arbeitskreises „Tunnelbau“ ETB“, Herausgeber Deutsche Gesellschaft für Geomechanik e.V., Verlag Ernst & Sohn, 1995

Jaeger, J.C., Cook, N.G.W., „Fundamentals of Rock Mechanics“, Chapmann and Hall Ltd., 1st edition 1969 or 3rd edition 1976

Wittke, W., “Rock Mechanics”, Springer or German Version “Felsmechanik”, Springer 1984

Girmscheid, G., “ Baubetrieb und Bauverfahren im Tunnelbau”, Verlag Ernst & Sohn, 2000

FLAC Manual Itasca Consulting Group

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References

Hoek, E., “Practical Rock Engineering”, Download http://www.rocscience.com/hoek/pdf/Practical_Rock_Engineering.pdf