SEISMIC SLOPE STABILITY - 1906eqconf.org1906eqconf.org/tutorials/EQHazMapGrndShaking_McCrink.pdf ·...

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SEISMIC SLOPE STABILITY Tim McCrink Seismic Hazards Mapping Program California Geological Survey 100 th Anniversary Earthquake Conference Commemorating the 1906 San Francisco Earthquake April 18 – 22, 2006

Transcript of SEISMIC SLOPE STABILITY - 1906eqconf.org1906eqconf.org/tutorials/EQHazMapGrndShaking_McCrink.pdf ·...

Page 1: SEISMIC SLOPE STABILITY - 1906eqconf.org1906eqconf.org/tutorials/EQHazMapGrndShaking_McCrink.pdf · SEISMIC SLOPE STABILITY Tim McCrink ... – NEWMARK DISPLACEMENT ANALYSIS. ...

SEISMIC SLOPE STABILITY

Tim McCrinkSeismic Hazards Mapping Program

California Geological Survey

100th Anniversary Earthquake Conference Commemorating the 1906 San Francisco Earthquake

April 18 – 22, 2006

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Topics Covered

• CGS Earthquake-Induced Landslide Zones

• Site-Specific Seismic Slope Stability Analyses

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CALIFORNIA GEOLOGICAL SURVEY

EARTHQUAKE-INDUCED LANDSLIDE ZONES OF REQUIRED

INVESTIGATION

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LANDSLIDE ZONES - MAPPING APPROACH SUMMARY

• INPUT DATA:– GEOTECHNICAL SHEAR TEST DATA– GEOLOGIC MAP DATA– DIGITAL TERRAIN DATA– DESIGN SEISMIC DATA

• METHODOLOGY:– INFINITE-SLOPE FAILURE MODEL– NEWMARK DISPLACEMENT ANALYSIS

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ZONE MAPPING CRITERIA

• ANALYTICALLY DETERMINED – HAZARD POTENTIAL CRITERIA - NEWMARK

DISPLACEMENTS:• VERY LOW - < 5 cm• LOW - > 5 cm to < 15 cm• MODERATE - > 15 cm to < 30 cm• HIGH - > 30 cm

• EXISTING LANDSLIDE AREAS, INCLUDING EARTHQUAKE-TRIGGERED SLOPE FAILURES

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Landslide Inventory

Shear Strength Groups

Geologic Stratigraphy

Geologic Structure

Digital Terrain

PSHA Data

Dip Gradient

Dip Azimuth

Slope Gradient

Slope Azimuth

Strong Motion Record

Hazard Potential Matrix

Dip-Slope Map

Slope Gradient

Geologic Material Strength Map

Landslide Hazard

Potential Map,

Zone MapZone Map

GENERALIZED WORK FLOWShear Strength Data

Shear Strength Groups

Ay vs. Disp.

Stability Analyses

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GEOTECHNICAL SHEAR TEST DATA

• SHEAR TEST SOURCES

• CRITERIA FOR COLLECTION

• DATA PROCESSING

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Material Strength by Geologic Unit

0 10 20 30 40 50 60Angle of Internal Friction (phi)

0

5

10

15C

ount

Coarse-Grained

Fine-Grained

Chatsworth Formation (Kc)

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Strength Groups

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Slope Stability Analysis

• Static Conditions:– FS = R/D = Wcos α tan φ / Wsin α = tan φ / tan α

• Dynamic Conditions:– ay = (FS - 1)g sin α (Newmark’s Equation)

W

kh(t)W

W

Rs Rd

Ns = W cos α Nd

α α

STATIC CONDITIONS DYNAMIC CONDITIONS

INFINITE SLOPE MODEL

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1967-1981 USGS DEM SHADED RELIEF

1998 RADAR DEM SHADED RELIEF

DIGITAL TERRAIN DATA

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Slope Gradient Map

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GEOLOGIC MAP INFORMATION

• STRATIGRAPHIC INFORMATION

• GEOLOGIC STRUCTURE INFORMATION

• LANDSLIDE INVENTORY INFORMATION

GEOLOGIC MATERIAL STRENGTH MAP=

+

+

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Stratigraphic InformationGEOLOGIC MAP:

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Geologic Structure Information

• STRIKE AND DIP MEASUREMENTS

• FOLD AXES

GEOLOGIC MAP:

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Adverse Bedding Map

Geologic Structure Information

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Landslide Inventories

• EXISTING LANDSLIDES

• KNOWN EARTHQUAKE-INDUCED SLOPE FAILURES

GEOLOGIC MAP:

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GEOLOGIC MATERIAL STRENGTH MAP

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DESIGN SEISMIC DATA

• REPRESENTATIVE STRONG-MOTION RECORD(S)

• STRONG-MOTION RECORD SELECTION

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PERMANENT SLOPE DISPLACEMENTS FROM EARTHQUAKE GROUND

MOTION

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DISPLACEMENT vs. YIELD ACCELERATION

0.1

1.0

10.0

100.0

1000.0

DIS

PLA

CE

ME

NT

(cm

)

0.01 0.1 1 YIELD ACCELERATION (g)

NEWMARK DISPLACEMENTvs. YIELD ACCELERATION

30 cm

15 cm

5 cm

0.076

0.129

0.232

USC STATION #14 - Channel 3

H M L VL

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HAZARD POTENTIAL MATRIX

Very Low Low Moderate High1 (36) 0 to 46% 47 to 52% 53 to 57% > 57%

2 (33) 0 to 39% 40 to 46% 47 to 49% > 49%

3 (30) 0 to 31% 32 to 37% 38 to 42% > 42%

4 (25) 0 to 22% 23 to 27% 28 to 31% > 31%

5 (16) - 0 to 2% 3 to 8% > 8%

MINDEGO HILL QUADRANGLE HAZARD POTENTIAL MATRIX

Geologic Material

Strength Group (Average Phi)

HAZARD POTENTIAL

(% Slope)

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HAZARD POTENTIAL

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EARTHQUAKE-INDUCED LANDSLIDE ZONES OF REQUIRED

INVESTIGATION

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LANDSLIDE HAZARD ZONE METHOD LIMITATIONS

• NOT CONSISTENTLY IDENTIFIED:– SHATTERED RIDGES– RIDGE-TOP SPREADING– FAILURE OF FLAT AREAS ABOVE HEAD SCARPS– LANDSLIDE RUNOUT

• FRACTURE DENSITY OR ORIENTATION• OUT-DATED TERRAIN INFORMATION• TOPOGRAPHIC AMPLIFICATION, DIRECTIVITY

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SITE-SPECIFIC SEISMIC SLOPE STABILITY

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Seismic Slope StabilityElements

• Investigation:– Office – Field– Laboratory

• Analyses:– Seismic– Site Response– Stability

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Site Investigation Considerations• Geology, Topography, Aerial Photo Analysis

– Existing Slope Failures– Ridge-Top Failures– Cliffs, Rock Fall– Lateral Spread Features– Nearby Active Faults

• Adverse Bedding / Discontinuity Conditions• Shear Wave Velocity

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Material Strength For Dynamic Conditions

From Blake et al., 2002

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Seismic Analysis Considerations

• Pseudo-Static Analysis– Peak Horizontal Ground Acceleration (PGA)– Magnitude (M)– Distance (r)

• Deformation Analyses– PGA, M, r– Duration (D5-95)– Mean Period of Ground Motion (Tm)– Strong Motion Time Histories

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Pseudo-Static Slope Stability Analysis

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Basic Concept

From Franklin & Chang 1977

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Origin of the Seismic Coefficient Approach

• Terzaghi (1950)– Severe – 0.1– Violent – 0.25– Catastrophic – 0.5

• Seed (1979)– Use k = 0.15, FS => 1.15

• Hynes-Griffin & Franklin (1984)– Use k = 0.5 * PGA, FS => 1.0, 80% strengths

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SP 117 Implementation Committee “Screening Analysis”

• k = feq x (PGAr / g)• FS = 1.0

• Assumptions:– Significant Displacements of 5 or 15 cm– Stiff Soil or Soft Bedrock– Relatively Thin Slide Mass (H <~ 20 m)– Ts/Tm <~ 0.5

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Determining feq

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Determining feq

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Example Pseudo-Static Analysis

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Static Analysis

FS = 2.2

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Ground Motion Estimation - PGA

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Ground Motion Estimation - M, r

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Seismic Coefficient - 5cm Criteria

k = f eq * MHAr = 0.56 * 0.8 = 0.45

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Seismic Coefficient - 15cm Criteria

K = 0.46 * 0.8 = 0.37

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Pseudo-Static Analysis

FS = 0.93

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Deformation Slope Stability Analysis

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Types of Deformation Analyses

• Sliding Block Models

• Stress-Deformation Models

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Sliding Block Model

From Kavazanjian, et al., 1997

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Types of Sliding-Block Analyses

• Rigid-Block Analysis

• Decoupled Analysis

• Coupled Analysis

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Selecting the Appropriate Sliding Block Analysis

From: Wartman, et al., 2003

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Performing A Rigid Block Analysis

• Pseudo-Static Analysis - ky

• Select Appropriate Time Histories

• Double Integrate Time Histories to Determine Cumulative Displacements

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Example Rigid Block Analysis

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Determine Yield Coefficient

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Select Earthquake Time Histories

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Perform Displacement Calculations

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What Do the Displacement Numbers Mean?

• Sliding Block Displacements Provide an Index of Probable Seismic Slope Performance– SP 117

• <10cm – Damage Unlikely• >10cm, <100cm – Serious Deformations• >100cm – Slopes Unstable

– Implementation Committee• Buildings - <5cm• Non Building Areas - <15cm• Strain Softening Materials

– Peak Strengths - <5cm– Residual Strengths - <15cm

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Internet Resources For Seismic Slope Stability

• Landslide-Related Information at CGS:– http://www.consrv.ca.gov/cgs/geologic_hazards/la

ndslides/index.htm• Seismic Hazard Zone Maps From CGS:

– http://gmw.consrv.ca.gov/shmp/ • CGS Special Publication 117

– http://www.conservation.ca.gov/cgs/shzp/webdocs/sp117.pdf

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Internet Resources For Seismic Slope Stability

• Interactive Ground Motion Estimates:– http://www.consrv.ca.gov/CGS/rghm/pshamap/pshamain

.html– http://earthquake.usgs.gov/hazmaps

• Implementation Committee Report:– http://www.scec.org/resources/catalog/hazardmitigation.

html#land

• Newmark Analysis Software:– http://earthquake.usgs.gov/resources/software/slope_perf

.php