5. PIPELINE INFRASTRUCTURE
U.S. PIPELINE INVENTORY
•489,000 km Gas & Liquid Fuel Transmission
Lines
•2,035,000 km Gas Distribution Lines
•67 Million Gas Service Lines
•1,900,000 km Water Distribution Lines
•$2.4 Trillion Water Pipeline Replace Value
•1 km Pipeline Every 9 Minutes in US
•1 km Pipeline Every 1-2 Minutes Worldwide
18. PIPELINE INFRASTRUCTURE
pmax
b) Normal Stress Distribution
τ
a) Shear Stress Orientation
θ
Expanded
View
O
θ
O
R=D/2
p(θ)
τ(θ)
dS=Rd
c) Expanded View
Note:Not in scale
dθ
pH
19. PIPELINE INFRASTRUCTURE
0 100 200
Normal Stress, kPa
= 10 mm
0 100 200
Normal Stress, kPa
= 30 mm
0 100 200
Normal Stress, kPa
= 120 mm
0 100 200
Normal Stress, kPa
= 10 mm
0 100 200
Normal Stress, kPa
= 30 mm
0 100 200
Normal Stress, kPa
= 120 mm
b) Centerline Sensor
a) Side Sensor
24. PIPELINE INFRASTRUCTURE
COUPLED TRANSVERSE & LONGITUDINAL SOIL FORCES
Gap Element:
Links Forces
Normal with
Forces Parallel
to Pipe By
Coulomb
Friction Law
tanT Nf p
25. PIPELINE INFRASTRUCTURE
LESSONS: SOIL-PIPE INTERFACE
•Relationship Between Soil Force Normal to Pipe
Surface vs Force Normal to Pipe Longitudinal
Axis Is Key for Modeling Coupled Soil-Pipe
Interaction
•Evaluation of Friction Along Pipe from Soil
Force Normal to Longitudinal Axis.
29. PIPELINE INFRASTRUCTURE
Pole for
planes
(’yy, ’yx)
(’xx, ’xy)
’ds
’ps
’
’
(0, dxy/2)
(dyy, dyx/2)
Pole for
directions
d
d/2
CO
Mohr’s circle for incremental strain
(’ff, ’ff)
Mohr’s circle for stress
(After Lings and Dietz, 2004)
Pole for
planes
(’yy, ’yx)
(’xx, ’xy)
’ds
’ps
’
’
(0, dxy/2)
(dyy, dyx/2)
Pole for
directions
d
d/2
CO
Mohr’s circle for incremental strain
(’ff, ’ff)
Mohr’s circle for stress
(After Lings and Dietz, 2004)
ψψ ψψ
Pole for
planes
(’yy, ’yx)
(’xx, ’xy)
’ds
’ps
’
’
(0, dxy/2)
(dyy, dyx/2)
Pole for
directions
d
d/2
CO
Mohr’s circle for incremental strain
(’ff, ’ff)
Mohr’s circle for stress
(After Lings and Dietz, 2004)
Pole for
planes
(’yy, ’yx)
(’xx, ’xy)
’ds
’ps
’
’
(0, dxy/2)
(dyy, dyx/2)
Pole for
directions
d
d/2
CO
Mohr’s circle for incremental strain
(’ff, ’ff)
Mohr’s circle for stress
(After Lings and Dietz, 2004)
ψψ ψψψψ ψψ
Direct Shear
Plane Strain
PLANE STRAIN & DIRECT SHEAR STRENGTH
42. PIPELINE INFRASTRUCTURE
SUCTION IN PARTIALLY SATURATED SOILS
Transpiration
Precipitation
Evaporation
Unsaturated Flow
Infiltration
Pipeline
Water table
Pores filled with
water
Meniscus formed
between particles
(After Robert et al, 2016)
48. PIPELINE INFRASTRUCTURE
LESSONS: SOIL-PIPELINE INTERACTION
• Integrated Methodology for Soil-Pipe
Interaction for All Pipe Movement Directions
and Depths: Hc/D ≥ 2
• Simulations Show Vertical Downward Soil/Pipe
Reaction Force ~ ½ to 1/3 Conventional
Bearing Capacity Force
• Suction-Enhanced Soil-Pipe Force
50. PIPELINE INFRASTRUCTURE
3D SOIL-PIPELINE INTERACTION
• Steel, HDPE and Cast
Iron
• Frequently Used D/t s
• D/L = 10
L
D
Apply Max Lateral Soil-Pipe Pressure to Simply Supported 3D Pipe (Shell) as
Proxy to Detect Transverse Distortion
D/t = 96
D = 900 mm
61. PIPELINE INFRASTRUCTURE
LESSONS: NEXT GENERATION (HAZARD-
RESILIENT) PIPELINES
•Paradigm Shift in Pipeline Technology
•Market-Driven Research Funded by
Industry
•Can’t Have Resilience Unless You Have a
Market
•Next Generation Hazard-Resilient Pipeline
Simulation Models
62. PIPELINE INFRASTRUCTURE
ADVANCED SENSORS
• Collaboration Among University of Cambridge,
Cornell, and UC Berkeley
• Demonstrate Proof of Concept
• Distributed Fiber Optics
• Joint Movement
• Pipeline Bending Strains & Displacement
• Time Domain Reflectometry
• Leakage
• Underground Wireless
• Data Transmission Without Wires
63. PIPELINE INFRASTRUCTURE
LESSONS: NEXT GENERATION (HAZARD-
RESILIENT) PIPELINES
•Paradigm Shift in Pipeline Technology
•Market-Driven Research Funded by
Industry
•Can’t Have Resilience Unless You Have a
Intelligence
•Next Generation Hazard-Resilient Pipeline
Simulation Models
73. PIPELINE INFRASTRUCTURE
SCREENING CRITERIA
• Repair Locations Checked by GIS
• Discount Landslides/Rockfall Areas
• Assume Poisson Distribution for Repairs
( ) (1p RR x p
Poisson distribution: μ = (RR)x, and σ = [(RR)x]½
Sampled repairs follow normal distr. (central limit theorem)
1
1 2 2
c
c
p
x RR
74. PIPELINE INFRASTRUCTURE
MAXIMUM PRINCIPAL LATERAL STRAIN
• Create Bilinear
Quadrilateral
Finite Element
from Lateral
Displacements
at Grid Corners
to Determine
Principal Strain
y, v
x, u
1 2
34
u1 u2
u4 u3
v2v1
v4 v3
75. PIPELINE INFRASTRUCTURE
REPAIR RATE VS ANGULAR DISTORTION AND LATERAL STRAIN
r2 = 0.86
r2 = 0.79
r2 = 0.88
Angular
Distortion
on 5-m
Spacing
Lateral
Strain
From
4 m x 4m
Cells
76. PIPELINE INFRASTRUCTURE
REPAIR RATE FOR COMBINED ANGULAR DISTORTION
AND LATERAL STRAINAsbestos Cement (AC) Pipelines
Cast Iron (CI) Pipelines
79. PIPELINE INFRASTRUCTURE
LESSONS FROM CHRISTCHURCH
• Extraordinary dataset: multiple EQs, dense ground
motion array, massive liquefaction, high density
LiDAR, geocoded repairs for thousands of km of
different pipelines
• First time comprehensive assessment of
underground lifeline response to liquefaction-
induced differential vertical movement and lateral
strain
• Unified methodology for building & lifeline damage
vs differential vertical & lateral ground movements
83. PIPELINE INFRASTRUCTURE
SAN FRANCISCO AUXILLIARY WATER SUPPLY
PERFORMANCE CRITERIA
•7.8 Mw
Deterministic EQ
•Water Demands in
Fire Response
Areas
•Monte Carlo AWSS
Network
Simulations
84. PIPELINE INFRASTRUCTURE
SUMMARY
• Coupled Soil-Pipe Forces for Soil-Pipeline Analysis
• Link Between Lateral Soil-Pipe Force and Pipe
Surface Frictional Resistance
• Methodology for Soil-Pipe Interaction in Granular Soil
for Any Pipe Movement Direction and Depth
• Vertical Downward Pipe Force Significantly Less Than
Conventional Bearing Capacity
• Soil Suction Effects
85. PIPELINE INFRASTRUCTURE
SUMMARY
• Guidance on Beam vs Shell Analysis for Soil-Pipe
Interaction. Transverse Distortion Important for
Diameters > 600 mm (Steel and Cast Iron)
• Next Generation Hazard Resilient Pipelines
• Canterbury EQ Sequence As Large-Scale Lab for
Characterizing Liquefaction Ground Deformation
• Unified Methodology for Pipeline and Building
Response to Soil Settlement and Lat’l. Displacement
• Impact on Communities