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Development of Hazard Damaged Buildings Model by Chi-Chi Earthquake Data. B. J. Lee College of Construction and Development Feng Chia University Nov. 17, 2003. Contents. Introduction Overview of Building Damage Estimation of Strong Motion Fragility Curves for the Building Damage

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slide1
Development of Hazard Damaged Buildings Model by Chi-Chi Earthquake Data

B. J. Lee

College of Construction and Development

Feng Chia University

Nov. 17, 2003

slide2
Contents
  • Introduction
  • Overview of Building Damage
  • Estimation of Strong Motion
  • Fragility Curves for the Building Damage
  • BuildingSeismic Risk Analysis
  • Conclusions
slide3
Introduction

Chichi Earthquake & Chelungpu Fault

The Chelungpu fault cross Guangfu elementary school, Wufeng , Taichung County

slide4
Introduction

Building Damage Survey Report

8,773 buildings were surveyed in preliminary report

slide5
Introduction

incomplete

Building Damage Ratio

=

(Buildings)

=

(Buildings)

No suitable database

  • Although the survey report is very useful, the inventory of buildings was not possible to associated with data.
  • To construct the fragility curve to be used for damage assessments, however, building damage data associated by inventory are necessary.
slide6
Introduction

Building Damage Database

List of earthquake building

subsidy

Partially & Totally

Collapsed Building

Database of Building Tax

(inventory of buildings)

Address

Type of Structure

Floor Area

Name

Construction Period

……

Chichi Earthquake

Building Damage

Data Warehouse

slide7
Overview of Building Damage in the Chichi Earthquake

Use Base Area to Measure Building Damage

One Building

Base area

slide8
Overview of Building Damage in the Chichi Earthquake

Structural Type Distribution of Totally Collapsed Buildings

slide9
Overview of Building Damage in the Chichi Earthquake

Collapsed Ratio for Each Structural Type

slide10
Overview of Building Damage in the Chichi Earthquake

Collapsed Ratio of Reinforced Concrete Buildings in Different Construction Periods

distribution of accelerometer sites
Estimation of Strong Ground MotionDistribution of Accelerometer Sites
  • Recover region :

(Miaoli、Taichung、

Nantou、Jiayi、Yunlin and

Changhua)

  • Number of accelerometer

sites : 103

  • Min=21.05 gal

Max=989.22 gal

Avg.=214.62 gal

St.Dev.=177.492 gal

attenuation model campbell form
Estimation of Strong Ground MotionAttenuation Model - Campbell Form

Coefficients of different strong motion factors

correction factor for campbell form tsai 2001
Estimation of Strong Ground Motion

=correction factor

= number of observation (103sites)

= data of Chichi earthquake

= data of Campell form

Correction Factor for Campbell Form (Tsai, 2001)
geostatistic theory
Estimation of Strong Ground MotionGeostatistic Theory

Equation of horizontal attenuation relationship

Trend

Kriging

Residual

ordinary kriging system semi variogram
Estimation of Strong Ground MotionOrdinary Kriging System (Semi-variogram)
  • Spherical Model

Data interval : 2500 M

h

Distance (M)

slide17
Estimation of Strong Ground Motion

Estimated PGA Distribution in Recover Region

PGA(gal)

Taichung County

Taichung City

Nantou County

Che-long-pu fault

slide18
Fragility Curve for Building Damage

Fragility Curves

  • A lot of seismologists hypothesize lognormal distribution between strong motion and building damage (Shinozuka, 1999; Yamaguchi & Yamazaki, 1999; Osamu Murao, 1999)
  • After Determining the mean and standard deviation, we can construct the fragility curve
slide20
Fragility Curve for Building Damage

Fragility curves of the different structural types – totally collapsed

slide21
Fragility Curve for Building Damage

Fragility curves of RC building for three different construction periods

slide22
Near-Fault Area

Hanging Wall

Foot Wall

Puli Basin

BuildingSeismic Risk Analysis

Topographical Classification of Nantou County

slide23
BuildingSeismic Risk Analysis

CDF of estimated PGA for different topographic conditions

slide24
Topographic Condition

-

-

Hanging wall

Foot wall

Near-fault line

Basin

-

-

5.99

5.88

6.11

6.07

-

-

0.20

0.22

0.21

0.05

RC

Before 1982

6.76

0.48

7.29%

4.85%

11.05%

7.84%

1983~1989

6.87

0.45

3.83%

2.37%

6.38%

3.87%

After 1990

7.06

0.55

3.53%

2.33%

5.45%

3.72%

Reinforced Masonry

6.72

0.44

6.79%

4.36%

10.73%

7.17%

Mud-Brick

6.19

0.33

30.50%

21.23%

41.88%

35.72%

Masonry

6.48

0.40

13.78%

9.13%

20.59%

15.19%

BuildingSeismic Risk Analysis

BuildingSeismic Risk Analysis

slide25
BuildingSeismic Risk Analysis

Risk probability

  • The damage ratio of building= the degree of building resist the strong motion index (R) < PGA(S)

Risk probability of building damage refers to the probability when resistance of the building against strong motion index ( ) is smaller than significance of strong motion ( )

slide26
The stands for the cumulative probability distribution and is also called reliability index.

BuildingSeismic Risk Analysis

Risk probability

slide27
Topographic Condition

-

-

Hanging wall

Foot wall

Near-fault line

Basin

-

-

5.99

5.88

6.11

6.07

-

-

0.20

0.22

0.21

0.05

RC

Before 1982

6.76

0.48

7.29%

4.85%

11.05%

7.84%

1983~1989

6.87

0.45

3.83%

2.37%

6.38%

3.87%

After 1990

7.06

0.55

3.53%

2.33%

5.45%

3.72%

Reinforced Masonry

6.72

0.44

6.79%

4.36%

10.73%

7.17%

Mud-Brick

6.19

0.33

30.50%

21.23%

41.88%

35.72%

Masonry

6.48

0.40

13.78%

9.13%

20.59%

15.19%

BuildingSeismic Risk Analysis

Risk probability

slide28
å

m

w

N

=

Pi

k

kl

k=1

k = building category

l = indicates the subsurface soil condition

Nk = ratio of buildings with category k

w kl = risk probability of building category k on soil condition l

BuildingSeismic Risk Analysis

BuildingSeismic Risk Analysis

  • Murao et al. (1999)
slide29
BuildingSeismic Risk Analysis

Actual Damage vs. Risk Analysis

Risk level

Actual damage level

slide31
Conclusions

Haz-Taiwan

ad