Seismic Design of Underground Structures using … · Pseudo-static Analysis (Hendron and...

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Antonio BobetPGS 2011

Seismic Design of Underground Structures using

the Free-field Method and other Misconceptions

(Chuto Industrial Inc., 1997)

Misconceptions

1.Underground structures are safe against earthquakes

2.Underground structures deform with surrounding ground

3.Deep structures are safer than shallow structures

4.Use Mononobe-Okabe method to estimate loads

Outline

1. Motivation

2. Current Design

3. Design of Underground Structures

4. Misconceptions

Motivation

(EQE, 1995)

Collapse of the Daikai Station

Motivation

(Chuto Industrial Inc., 1997)

(EQE, 1995)

Cross Section

Motivation

Damage to the Central Column

Motivation

(Chuto Industrial Inc., 1997)

Plan View of the Daikai Station

Motivation

(Iida et al., 1996)

Outline

1. Motivation

2. Current Design

3. Design of Underground Structures

4. Misconceptions

Current Design

Sources of damage

• Fault displacement

• Ground failure

• Ground Shaking

Dagbreek fault in matjhabeng mine - Israel

45 cm

Current Design

Sources of damage

• Fault displacement

• Ground failure

• Ground Shaking

Current Design

Sources of damage

• Fault displacement

• Ground failure

• Ground Shaking

Current Design

(Dowding, 1977;

71 cases – 42 damaged)

(Sharma and Judd, 1991;

192 cases – 94 damaged)

Current Design

Damage to mountain tunnels during the Chi-Chi

earthquake, Taiwan, 1999. Data from Wang et al., 2001

(57 cases – 49 damaged)

Current Design

Bantaki Tunnel, after Kobe Earthquake

Current Design

Longxi Tunnel, after 2008 Wenchuan

earthquake, China (courtesy of Dr. H. Yu)

Current Design

+

Static Dynamic

Current Design

Body Waves

Current Design

Shear Wave Impinging Tunnel

Current Design

Tunnel Deformation Modes

Current Design

Free-field Method: Racking Deformation

=

V

sV

“Thought experiment”

“stiff” tunnel

Current Design

“Thought experiment”

“stiff” tunnel

Current Design

“Thought experiment”

“stiff” tunnel “soft” tunnel

Current Design

“Thought experiment”

“stiff” tunnel “soft” tunnel

Current Design

ro

ro tunnel

= 4 (1- )2F

(1- )(3- 2)F +12(3- 4)

Vmax

VP

ro

ro tunnel

= 4 (1- )2F

(1- )(3- 2)F +12(3- 4)

Vmax

VS

F = E ro

3 1- s

2 E s Is 1- 2

C = 0

Current Design

Current Design

Free Field “errors”

New Station (one year later)

(Benedicto, 2001)

Current Design

Tunnel

(Benedicto, 2001)

Current Design

Outline

1. Motivation

2. Current Design

3. Design of Underground Structures

4. Misconceptions

Pseudo-static Analysis (Hendron and Fernández, 1983)

Design

Rectangular Structure in Infinite Elastic Medium

Design

Rectangular Tunnel

Design

Rectangular Structure in Infinite Elastic Medium

Design

Depth Effect

Design

Outline

1. Motivation

2. Current Design

3. Design of Underground Structures

4. Misconceptions

Misconceptions

1.Underground structures are safe against earthquakes

2.Underground structures deform with surrounding ground

3.Deep structures are safer than shallow structures

4.Use Mononobe-Okabe method to estimate loads

Seismic Design of Underground Structures using

the Free-field Method and other Misconceptions

(Chuto Industrial Inc., 1997)

Thank you

Antonio BobetPGS 2011