-
Sayed Mohamed El-Sayed Ahmed
April, 2014
STATE-OF-THE-ART REPORT: DEFORMATIONS ASSOCIATED WITH DEEP
EXCAVATION AND
THEIR EFFECTS ON NEARBY STRUCTURES
Ain Shams University
Faculty of Engineering
Structural Engineering Department
Geotechnical Engineering Group
SayedTypewritten TextCitation: Ahmed S.A. (2014)
"State-of-the-Art Report: Deformations Associated with Deep
Excavation and Their Effects on Nearby Structures," Ain Shams
University, Faculty of Engineering, Structural Engineering Dept.
DOI: 10.13140/RG.2.1.3966.9284.
-
1
-
2
CONTENTS 1. INTRODUCTION
...................................................................................................................
9
2. FACTORS AFFECTING EXCAVATION DEFORMATIONS
........................................... 14
2.1. Soil Type
........................................................................................................................
15
2.2. Wall Stiffness and Excavation Stability
.........................................................................
15
2.3. Overconsolidation (OCR) and At-Rest Earth Pressure
Coefficient (Ko) ....................... 22
2.4. Groundwater Conditions and Control Measures
............................................................ 23
2.5. Strut/Tie-back Prestressing
............................................................................................
28
2.6. Construction Sequence
...................................................................................................
30
2.7. Wall Lateral Deformation Patterns
................................................................................
32
2.7.1. Settlement pattern associated with the wall cantilever
deformation mode ............. 35
2.7.2. Settlement pattern associated with the wall bulging
deformation mode ................ 37
2.8. Time-Dependent Effects
................................................................................................
39
2.9. Excavation Geometry and Three-Dimensional Effects
.................................................. 39
2.9.1. Excavation dimensions and depth to firm layers
.................................................... 39
2.9.2. Corner effect
...........................................................................................................
41
2.9.3. Parallel distribution
.................................................................................................
42
2.10. Wall Installation Effect
...............................................................................................
43
2.11. Building Stiffness and Weight
....................................................................................
49
2.12. Wall-Soil Interface
.....................................................................................................
51
2.13.
Workmanship..............................................................................................................
52
3. EMPIRICAL AND SEMI- EMPIRICAL METHODS
......................................................... 55
4. NUMERICAL MODELING
.................................................................................................
73
4.1. Beam-Column on Elastic Winkler Springs
....................................................................
73
4.2. The Finite Elements
.......................................................................................................
81
4.2.1. Constitutive soil modeling
......................................................................................
83
4.2.2. Simulation of excavation and construction sequence
............................................. 84
4.2.3. Interface modeling.
.................................................................................................
86
4.2.4. Two-dimensional versus three-dimensional analyses
............................................. 87
4.2.5. Modeling of structures affected by excavations
..................................................... 87
5. ANALYTICAL APPROACH
...............................................................................................
88
6. ARTIFICIAL NEUTRAL NETWORKS
(ANNS)................................................................
90
7. PHYSICAL MODELING USING CENTRIFUGE
..............................................................
93
8. OBSERVATIONAL METHOD AND MONITORING
....................................................... 97
-
3
9. INSTRUMENTATION AND
MONITORING.....................................................................
99
9.1. Deformation
Instrumentations......................................................................................
102
9.2. Stress Measurements
....................................................................................................
105
9.2.1. Piezometers
...........................................................................................................
105
9.2.2. Strain Gauges
........................................................................................................
107
9.3. Real Time Monitoring
..................................................................................................
108
9.3.1. Robotic total stations
(RTS)..................................................................................
108
9.3.2. Three-dimensional Laser scanning
.......................................................................
109
9.4. Trigger Levels for Monitoring
.....................................................................................
110
9.5. Monitoring Experience in Egyptian Deep Excavation Projects
................................... 111
10. BUILDING DAMAGE CRITERIA
................................................................................
114
10.1. Superstructure Damage criteria
................................................................................
114
10.1.1. The maximum angular distortion () criterion
.................................................. 117
10.1.2. The maximum deflection ratio (/L) criterion
.................................................. 118
10.1.3. The limiting tensile strain criterion
...................................................................
118
10.1.4. The crack width criterion
..................................................................................
126
10.1.5. The maximum settlement (Smax) maximum rotation (max)
criterion ............. 128
10.1.6. The Damage Potential Index (DPI( criterion
.................................................... 128
10.2. Assessment of the Induced Building Damage
.......................................................... 129
10.2.1. Primary assessment
...........................................................................................
129
10.2.2. Second stage assessment
...................................................................................
130
10.2.3. Detailed
assessment...........................................................................................
130
10.3. Features Affecting Structural Damage
.....................................................................
131
10.3.1. Ratio of the buildings Young modulus to its shear
modulus (E/G) ................. 131
10.3.2. Grade beams
......................................................................................................
133
10.3.3. Building-Soil Relative Stiffness
........................................................................
133
10.4. Damage Assessment for Deep Foundations
.............................................................
136
10.5. Design Deep Excavations for Admissible Structural
Deformations ........................ 140
11. SURVEY OF DAMAGE DUE TO INDUCED GROUND MOVEMENT
.................... 141
12. RISK MANAGEMENT AND MITIGATIONS
..............................................................
143
13. SUMMARY OF THE PRESENTED WORKS
...............................................................
148
14. REFERENCES
................................................................................................................
152
-
4
List of Figures FIGURE 1. GROUND AND BUILDING DEFORMATIONS
INDUCED BY A DEEP EXCAVATION (HSIAO, 2007)
................................................ 9 FIGURE 2.
FAILURE OF A BUILDING IN CHINA IN 2009 THAT WAS INITIATED BY A
NEARBY DEEP EXCAVATION ....................................... 10
FIGURE 3. FAILURE OF A DEEP EXCAVATION ADJACENT TO NICOLL HIGHWAY,
SINGAPORE (LEE, 2008) .............................................
10 FIGURE 4. A MASONRY WALL SUFFERED FROM SEVERE CRACKING DUE TO
GROUND DEFORMATIONS (VATOVEC ET AL., 2010) ............... 11
FIGURE 5. TYPICAL FORMATIONS IN THE GREATER CAIRO AREA (EL-SOHBY
AND MAZEN, 1985)
...................................................... 12 FIGURE 6.
EFFECT OF THE SOIL TYPE ON THE SETTLEMENTS INDUCED BY DEEP
EXCAVATION (PECK, 1969A) ........................................
15 FIGURE 7. EFFECT OF WALL STIFFNESS AND SOIL STABILITY NUMBER ON
THE WALL DEFORMATIONS IN CLAYS (GOLDBERG ET AL., 1976) .. 16 FIGURE
8. EFFECT OF THE BASAL HEAVE STABILITY ON THE WALL DEFORMATIONS
INDUCED BY DEEP EXCAVATIONS IN CLAYS (MANA &
CLOUGH, 1981)
.....................................................................................................................................................
16 FIGURE 9. EFFECT OF THE BASAL HEAVE STABILITY AND THE SYSTEM
STIFFNESS ON THE WALL DEFORMATIONS INDUCED BY DEEP
EXCAVATIONS IN CLAYS (CLOUGH AT AL., 1989)
...........................................................................................................
17 FIGURE 10. NORMALIZED FIELD MEASUREMENTS OF THE LATERAL
DEFORMATIONS AGAINST CLOUGH & OROURKES (1990) SYSTEM
STIFFNESS AND BASAL HEAVE FACTOR OF SAFETY FOR CASES WITH LOW
FACTOR OF SAFETY (FOS3) (LONG, 2001) .................. 19 FIGURE
12. NORMALIZED FIELD MEASUREMENTS OF THE LATERAL DEFORMATIONS
AGAINST CLOUGH & OROURKES (1990) SYSTEM
STIFFNESS AND BASAL HEAVE FACTOR OF SAFETY FOR SOFT CLAY
(MOORMANN,
2004)......................................................... 20
FIGURE 13. NORMALIZED FIELD MEASUREMENTS OF THE LATERAL
DEFORMATIONS AGAINST CLOUGH & OROURKES (1990) SYSTEM
STIFFNESS AND BASAL HEAVE FACTOR OF SAFETY FOR STIFF CLAY
(MOORMANN, 2004)
........................................................ 20 FIGURE
14. NORMALIZED LATERAL WALL MOVEMENTS VS. RELATIVE STIFFNESS RATIO,
R, FOR DEEP EXCAVATIONS IN COHESIVE SOILS
(ZAPATA-MEDINA, 2007).
.......................................................................................................................................
21 FIGURE 15. EFFECT OF THE FACTOR OF SAFETY ON THE SETTLEMENT
TROUGH WIDTH (MANA AND CLOUGH, 1981) ............................
22 FIGURE 16. CONTOURS OF STRESS LEVEL AT AN EXCAVATION DEPTH OF
13.26M: (A) KO=2; (B) KO=0.5 (POTTS & FOURIE, 1984) ....... 22
FIGURE 17. GROUNDWATER FLOW PATTERNS ENCOUNTERED IN DEEP
EXCAVATIONS (CLOUGH & OROURKE, 1990) ..........................
23 FIGURE 18. INFLUENCE OF THE DEWATERING WORKS ON THE GROUND
SETTLEMENT ..................................................... 24
FIGURE 19. GROUNDWATER CONTROL MEASURES FOR BRACED EXCAVATION
(PULLER, 2003)
......................................................... 24 FIGURE
20. COLLAPSE OF CITY ARCHIVE BUILDING IN COLOGNE (GERMANY) DUE SOIL
PIPING INDUCED BY DEWATERING (ROWSON, 2009)
...........................................................................................................................................................................
25 FIGURE 21. THE COLLAPSED CITY ARCHIVE BUILDING IN COLOGNE
(GERMANY) (ROWSON, 2009)
.................................................. 26 FIGURE 22.
DAMAGE DUE TO SUBSIDENCE ALONG AN UNDERGROUND STATION OF THE
NORTH-SOUTH TRAIN LINE IN AMSTERDAM (VAN
BAARS, 2011).
......................................................................................................................................................
26 FIGURE 23. LEAKAGE AND DAMAGE AT THE BUILDING PIT IN MIDDELBURG,
THE NETHERLAND (VAN BAARS, 2011) ............................ 27
FIGURE 24. FAILURE OF A DIAPHRAGM WALL IN THE INFINITY TOWER IN
DUBAI IN 2007. THE CHRONOLOGICAL SEQUENCE OF EVENTS IS
(A) TO (D)
..............................................................................................................................................................
27 FIGURE 25. SCHEMES FOR GROUNDWATER CONTROL IN A DEEP EXCAVATION
(EL-NAHHAS, 2006).
................................................. 28 FIGURE 26. THE
EFFECT OF PRESTRESSING ON THE WALL DEFORMATIONS (CLOUGH, 1975)
............................................................ 29
FIGURE 27. THE EFFECT OF THE STRUT STIFFNESS ON THE MAXIMUM LATERAL
DEFORMATION OF THE WALL AND THE MAXIMUM
SETTLEMENT (MANNA & CLOUGH, 1981)
...................................................................................................................
29 FIGURE 28. CONSTRUCTION PROCEDURE STEPS FOR THE GREATER CAIRO
METRO - LINE 1 (EL-NAHHAS ET AL., 1988) ........................ 30
FIGURE 29. ROD EL-FARAG STATION (AHMED AND ABD EL-SALAM, 1996)
................................................................................
31 FIGURE 30. SETTLEMENT PATTERNS ASSOCIATED WITH DIFFERENT WALL
DEFORMATION MODES (GOLDBERG ET AL. 1976). .................. 32
FIGURE 31. MODES OF DEFORMATION OF THE WALL (CLOUGH AND OROURKE,
1990)
.................................................................
33 FIGURE 32. LATERAL AND VERTICAL DISPLACEMENT PATTERNS: CONCAVE
ON LEFT, SPANDREL ON RIGHT (BOONE 2003; BOONE &
WESTLAND, 2005).
................................................................................................................................................
33 FIGURE 33. THE RATIO BETWEEN THE MAXIMUM HORIZONTAL TO VERTICAL
DISPLACEMENT AS A FUNCTION OF THE COEFFICIENT OF
DEFORMATIONS (OROURKE, 1981)
..........................................................................................................................
34 FIGURE 34. THE RATIO BETWEEN THE MAXIMUM HORIZONTAL TO VERTICAL
DISPLACEMENT (MANA & CLOUGH 1981) ....................... 34
FIGURE 35. DEFORMATIONS PREDICTION FROM LATERAL WALL DEFLECTION
VALUES PROPOSED BY AYE (2006): (A) SETTLEMENTS; (B)
LATERAL DEFORMATIONS
..........................................................................................................................................
35 FIGURE 36. SPANDREL-TYPE SETTLEMENT TROUGH (OU ET AL., 1993)
.......................................................................................
36
-
5
FIGURE 37. ASSUMED GAUSSIAN DISTRIBUTION FOR LATERAL AND
VERTICAL GROUND DEFORMATIONS (LEE ET AL., 2007) ...................
36 FIGURE 38. CONCAVE SETTLEMENT PROFILE (HSIEH & OU, 1998)
.............................................................................................
37 FIGURE 39. RELATIONSHIP BETWEEN WALL MOVEMENT AND GROUND
SETTLEMENTS FOR SOFT/LOOSE SOILS (KARLSRUD, 1997). .......... 37
FIGURE 40. VERTICAL AND HORIZONTAL GROUND MOVEMENT PATTERNS AS A
FUNCTION OF THE EXCAVATION DEPTH (HE) AND THE
DISTANCE FROM THE WALL (D) (SCHUSTER ET AL. 2009)
................................................................................................
38 FIGURE 41. SUBSURFACE SETTLEMENT DISTRIBUTION FOR CONCAVE
SETTLEMENT PROFILES (AYE ET AL. 2006)
................................... 39 FIGURE 42. EFFECT OF THE
EXCAVATION WIDTH ON THE MAXIMUM GROUND SETTLEMENT AND THE WALL
DEFLECTION (MANA & CLOUGH,
1981)
..................................................................................................................................................................
40 FIGURE 43. EFFECT OF THE DEPTH TO FIRM LAYER ON THE MAXIMUM
GROUND SETTLEMENT AND THE WALL DEFLECTION (MANA &
CLOUGH, 1981)
.....................................................................................................................................................
40 FIGURE 44. THE EFFECT OF THE HARD STRATUM ON THE COMPUTED WALL
DEFLECTION (HSIAO, 2007) ..........................................
41 FIGURE 45. PLANE STRAIN RATIO (PSR) AS A FUNCTION OF THE ASPECT
RATIO (B/L) AND DISTANCE FROM THE CORNER (D) (OU ET
AL., 1996)
............................................................................................................................................................
41 FIGURE 46. THREE-DIMENSIONAL DISTRIBUTION OF SETTLEMENT AND
LATERAL MOVEMENT AROUND FINITE DEEP EXCAVATION (FINNO &
ROBOSKI, 2005; ROBOSKI &FINNO, 2006)
................................................................................................................
42 FIGURE 47. SETTLEMENT ASSOCIATED WITH TRENCHING IN HONG KONGS
MTR (MORTON ET AL., 1980) .......................................
43 FIGURE 48. MAXIMUM BUILDING SETTLEMENTS DUE TO SLURRY TRENCH
EXCAVATION FOR DIAPHRAGM WALLS AS A FUNCTION OF
FOUNDATION DEPTH IN HONG KONGS MTR (COWLAND & THORLEY, 1984)
....................................................................
44 FIGURE 49. BUILDING SETTLEMENT DUE TO DIAPHRAGM WALL
INSTALLATION IN HONG KONGS MTR (BUDGE-REID ET AL., 1984) ...... 44
FIGURE 50. SETTLEMENT DUE TO INSTALLATION OF A DIAPHRAGM WALL
(CLOUGH AND OROURKE, 1990) .......................................
45 FIGURE 51. LATERAL DEFORMATION ASSOCIATED WITH TRENCHING FOR
SECANT PILES INSTALLED IN CHICAGO CLAY (FINNO ET AL.,
2002)
..................................................................................................................................................................
45 FIGURE 52. THE EFFECT OF SLURRY LEVEL VARIATION AND ITS HOLDING
TIME ON THE LATERAL DEFORMATIONS ASSOCIATED WITH
TRENCHING (POH AND WONG, 1998)
........................................................................................................................
46 FIGURE 53. VERTICAL DEFORMATIONS DUE TO DIAPHRAGM WALL
INSTALLATION (GABA ET AL. 2003)
.............................................. 47 FIGURE 54.
INFLUENCE OF PANEL LENGTH ON LATERAL DISPLACEMENTS (GOURVENEC &
POWRIE, 1999). ....................................... 47 FIGURE
55. THE SETTLEMENT ENVELOPES FOR SHALLOW AND DEEP FOUNDATION DUE TO
TRENCHING TO A DEPTH OF 21M IN THE NILE
ALLUVIUMS IN THE GREATER CAIRO (ABDEL-RAHMAN & EL-SAYED,
2009).
......................................................................
48 FIGURE 56. THE RELATIONSHIP BETWEEN THE LATERAL DEFORMATIONS AND
THE MAXIMUM SETTLEMENT DUE TO TRENCHING IN THE NILE
ALLUVIUMS IN THE GREATER CAIRO (EL-SAYED & ABDEL-RAHMAN,
2002).
......................................................................
49 FIGURE 57. BUILDINGS AND INTERFACES USED IN CENTRIFUGE TESTS
(ELSHAFIE, 2008)
.................................................................
50 FIGURE 58. WALL DEFLECTIONS VARIATION WITH THE VARIATION OF THE
WALL-SAND FRICTION (YU & GANG, 2008) .........................
51 FIGURE 59. MAXIMUM SETTLEMENT VERSUS THE WALL-SAND INTERFACE
FRICTION ANGLE (YU & GANG, 2008)
................................ 51 FIGURE 60. THE VARIATION OF THE
RATIO BETWEEN THE MAXIMUM SETTLEMENT TO THE MAXIMUM WALL DEFLECTION
VERSUS THE WALL-
SAND INTERFACE FRICTION ANGLE (YU & GANG, 2008)
.................................................................................................
52 FIGURE 61. DIFFERENT METHODS OF PLACING LAGGING (PECK, 1969A)
.....................................................................................
53 FIGURE 62. SUBGRADE REACTION MODEL FOR ANALYSIS OF WALLS
SUPPORTING DEEP EXCAVATIONS (DELATTRE, 2001). .....................
74 FIGURE 63. HORIZONTAL SUBGRADE MODULI, KH (AFTER PFISTER ET AL.,
1982)
..........................................................................
75 FIGURE 64. IDEALIZED ELASTOPLASTIC EARTH RESPONSE-DEFLECTION
CURVE WITH TWO SUBGRADE REACTIONS (DAWKINS 1994B) ........ 76
FIGURE 65. ELASTOPLASTIC SAND SUBGRADE DIAGRAM USING REFERENCE
DEFLECTION METHOD (WEATHERBY ET AL., 1998) ............. 77 FIGURE
66. ELASTOPLASTIC CLAY SUBGRADE DIAGRAM USING REFERENCE DEFLECTION
METHOD (WEATHERBY ET AL., 1998) .............. 77 FIGURE 67. GROUND
ANCHOR T-Y CURVE (STROM AND EBELING, 2001)
....................................................................................
78 FIGURE 68. SHIFTED R-Y METHOD TO MODEL CONSTRUCTION STAGES
(WEATHERBY ET AL, 1998)
.................................................. 79 FIGURE 69. A
SCHEMATIC SHOWING THE DISCRETIZATION OF DEEP EXCAVATION PROBLEM
INTO A FINITE ELEMENT MESH ...................... 81 FIGURE 70.
TYPICAL EXCAVATION SEQUENCE IN DEEP EXCAVATION SUPPORTED BY STRUTS
(HASHASH & WHITTLE, 1996) .................... 82 FIGURE 71.
INACCURATE EVALUATION OF THE DIFFERENTIAL SETTLEMENT AFFECTING
BUILDINGS DUE TO THE UTILIZING OF
UNREPRESENTATIVE CONSTITUTIVE MODEL (KUNG, 2010)
..............................................................................................
83 FIGURE 72. VARIATION OF MODULUS WITH STRAIN LEVEL (OBRZUD,
2010)................................................................................
84 FIGURE 73. STRESS REVERSAL APPROACH (GUTIERREZ ET AL., 2002)
..........................................................................................
85 FIGURE 74. INTERFACE STRESSES DURING EXCAVATION AND TENSIONING
(STROM AND EBELING 2001)
........................................... 86 FIGURE 75.
DISPLACEMENT FIELDS: (A) INCREMENTAL DISPLACEMENT FIELD FOR WIDE
EXCAVATION; (B) INCREMENTAL DISPLACEMENT
FIELD FOR NARROW EXCAVATION; (C) PLASTIC DEFORMATION MECHANISM
FOR CANTILEVER RETAINING WALLS IN UNDRAINED CONDITIONS. (OSMAN
& BOLTON, 2007; LAM & BOLTON, 2011)
..................................................................................
88
-
6
FIGURE 76. ANN ELEMENTS (MAREN ET AL., 1990; FAUSETT, 1994;
SHAHIN ET AL., 2001 & 2008)
............................................ 90 FIGURE
77.COMPARISON BETWEEN MEASURED GROUND DEFORMATIONS AND ANN
PREDICTIONS (FAYED, 2002) ............................. 92 FIGURE
78. TEST SETUP UTILIZED BY LAEFER (2001)
...............................................................................................................
93 FIGURE 79. SOIL SURFACE SETTLEMENT OBTAINED BY LAEFER (2001)
PLOTTED WITH RESPECT TO PECKS (1969A) ZONES.................... 93
FIGURE 80. CENTRIFUGE MODEL PACKAGE FOR EXCAVATIONS CUT AND PROPPED
IN FLIGHT (LAM ET AL, 2011) ................................. 95
FIGURE 81. POTENTIAL BENEFITS OF THE OM ACCORDING TO CIRIA 185
(NICHOLSON AT AL., 1999)
............................................ 97 FIGURE 82.
MEASURING POINT FOR MONITORING SURFACE SETTLEMENT
..................................................................................
102 FIGURE 83. INCLINOMETER MEASUREMENT OF DISPLACEMENT
................................................................................................
103 FIGURE 84. ROD EXTENSOMETER
.......................................................................................................................................
103 FIGURE 85. MAGNETIC MULTIPLE POINT EXTENSOMETERS
.......................................................................................................
104 FIGURE 86. FEATURES OF DIFFERENT PIEZOMETERS (MURRAY, 1990)
......................................................................................
106 FIGURE 87. DIFFERENT TYPES OF VIBRATING WIRE STRAIN GAUGES
(EL-NAHHAS, 1980)
.............................................................. 107
FIGURE 88. A REFLECTORLESS ROBOTIC TOTAL STATION (RRTS) MEASURING
RSPS AND PRISMS (TAMAGNAN & BETH, 2012) .......... 108 FIGURE
89. OPERATING SCHEMATIC OF A TLS SCANNER (LATO, 2012)
.....................................................................................
109 FIGURE 90. SETTING TRIGGER LEVELS FOR A BUILDING SUBJECT TO
SETTLEMENT FROM A DEEP EXCAVATION
..................................... 110 FIGURE 91. INSTRUMENTED
SECTION AT ORABI STATION, CAIRO METRO LINE 1 (EL-NAHHAS, 2006)
........................................... 111 FIGURE 92. MEASURED
PORE WATER PRESSURE BELOW THE DEEP EXCAVATIONS OF CAIRO METRO LINE
1 .................................... 112 FIGURE 93. LAYOUT THE
MONITORING SETTLEMENT POINTS (ABDEL RAHMAN & EL-SAYED; 2002A,
2002B & 2003; EL-SAYED & ABDEL
RAHMAN, 2002; ABDEL RAHMAN & EL-SAYED, 2009)
...............................................................................................
112 FIGURE 94. THE MONITORING SYSTEM FOR AL-TAHRIR GARAGE
(ABDEL-RAHMAN, 2007).
.......................................................... 113
FIGURE 95. DEFINITION OF THE DEFORMATIONS AFFECTING THE BUILDING
BASED ON BURLAND & WROTH (1974 & 1975) AND
BOSCARDIN & CORDING (1989)
..............................................................................................................................
115 FIGURE 96. DEFINITION OF SAGGING AND HOGGING DEFORMATION MODES
(MODIFIED FROM FRANZIUS, 2003) .............................. 116
FIGURE 97. DAMAGE CRITERIA BASED ON ANGULAR DISTORTION (BJERRUM,
1963)....................................................................
118 FIGURE 98. DEEP BEAM MODEL (BURLAND AND WROTH, 1974 & 1975;
BURLAND ET AL. 1977; BURLAND ET AL., 2001) .............. 119
FIGURE 99. THRESHOLD OF DAMAGE FOR SAGGING OF LOAD BEARING WALLS,
E/G = 2.6 (BURLAND AND WROTH, 1974 & 1975) .... 123 FIGURE 100.
THRESHOLD OF DAMAGE FOR HOGGING OF LOAD BEARING WALLS, E/G = 2.6
(BURLAND AND WROTH, 1974 & 1975) . 123 FIGURE 101. RELATIONSHIP
OF DAMAGE TO ANGULAR DISTORTION AND HORIZONTAL EXTENSION STRAIN
(BOSCARDIN &
CORDING, 1989)
..................................................................................................................................................
124 FIGURE 102. TENSILE STRAIN COMPONENTS DUE TO HORIZONTAL STRAIN,
ANGULAR DISTORTION AND TILTING FOR WALL WITH L/H=1 &
E/G =2.6 (SON & CORDING, 2005)
........................................................................................................................
125 FIGURE 103. DAMAGE ZONES WITH DIFFERENT CRITICAL TENSILE
STRAINS (SON & CORDING, 2005)
.............................................. 125 FIGURE 104.
DAMAGE CRITERION ACCORDING TO BURLAND (1997).
......................................................................................
126 FIGURE 105. BOONES (1996 & 2001) PROCEDURE TO ASSESS THE
EXPECTED CRACK
WIDTHS...................................................... 127
FIGURE 106. DAMAGE CRITERION ACCORDING TO CRACK WIDTHS
(BOONE,1996).
....................................................................
127 FIGURE 107. THREE-PHASED DAMAGE ASSESSMENT FLOW CHART (BURLAND,
1995; MAIR ET AL., 1996; AND SON & CORDING, 2005)
.........................................................................................................................................................................
129 FIGURE 108. EFFECTS OF E/G AND NEUTRAL AXIS LOCATION FOR DEEP
BEAM ANALYSIS (FINNO ET AL., 2005) ................................
131 FIGURE 109. ESTIMATION AND OF THE EQUIVALENT WALL MODULII
.........................................................................................
132 FIGURE 110. EFFECT OF GRADE BEAMS FOR TWO-STORY AND THREE-BAY
STRUCTURES
.................................................................
133 FIGURE 111. THE MODIFICATION FACTOR FOR THE DEFLECTION RATIO
(GOH, 2010, GOH AND MAIR, 2011) ..................................
134 FIGURE 112. THE MODIFICATION FACTOR FOR THE HORIZONTAL STRAIN
(GOH, 2010, GOH AND MAIR, 2011) ............................... 135
FIGURE 113. BASIC PROBLEM FOR THE PILE RESPONSE (POULOS & CHEN,
1997).......................................................................
137 FIGURE 114. BASIC BENDING VERSUS DISTANCE FROM EXCAVATION FACE
(POULOS & CHEN, 1997).
............................................ 137 FIGURE 115. BASIC
MOVEMENT VERSUS DISTANCE FROM EXCAVATION FACE (POULOS & CHEN,
1997). ........................................ 137 FIGURE 116.
CORRECTION FACTORS FOR BENDING MOMENT (POULOS & CHEN, 1997).
............................................................. 138
FIGURE 117. CORRECTION FACTORS FOR LATERAL PILE MOVEMENT (POULOS
& CHEN, 1997).
.................................................... 139 FIGURE
118. ITERATIVE DESIGNING OF EXCAVATION SUPPORT SYSTEMS FOR
ADMISSIBLE DEFORMATIONS (ZAPATA-MEDINA, 2007) ... 140 FIGURE 119.
CRACK PATTERNS ASSOCIATED WITH DIFFERENT MODES OF GROUND
SETTLEMENTS ................................................... 141
FIGURE 120. CRACK PLOTTING ON BUILDING ELEVATION
........................................................................................................
142 FIGURE 121. AL-TAHRIR GARAGE, ITS SURROUNDING STRUCTURES AND
MONITORING SYSTEM (ABDEL-RAHMAN, 2007). .................. 145
FIGURE 121. PREDICTED LATERAL DISPLACEMENT OF THE DIAPHRAGM WALL
WHILE ADVANCING THE CONSTRUCTION STAGES (ABDEL-
RAHMAN, 2007)
..................................................................................................................................................
146
-
7
LIST OF TABLES
TABLE 1: SUMMARY OF SOME OF THE ACKNOWLEDGED INTERNATIONAL
EMPIRICAL AND SEMI-EMPIRICAL STUDIES ..............................
56 TABLE 2: SUMMARY OF SOME OF THE ACKNOWLEDGED NATIONAL EMPIRICAL
AND SEMI-EMPIRICAL STUDIES ..................................... 70
TABLE 3. WEIGHTED VALUE OF DIFFERENT TYPES OF DEFORMATION
MEASUREMENTS (NEGRO ET, 2009)
........................................ 101 TABLE 4. WEIGHTED
VALUE OF DIFFERENT TYPES OF STRESS MEASUREMENTS (NEGRO ET, 2009)
................................................... 101 TABLE 3.
EXPRESSION FOR THE LIMITING DEFLECTION RATIO (BURLAND & WROTH,
1974 & 1975; BURLAND ET AL., 1977) ............. 119 TABLE 4.
DAMAGE CATEGORIES ACCORDING TO BURLAND ET AL. (1977) & BRE
DIGEST 251 (1995) ........................................... 121
TABLE 5. RISK CATEGORIES ACCORDING TO RANKIN (1988)
....................................................................................................
128 TABLE 6. LEVELS OF BUILDING DAMAGE VERSUS DPI THRESHOLDS
(SCHUSTER ET AL. 2009)
........................................................ 128 TABLE
7. EXAMPLES OF UNCERTAINTY IN THE GEOTECHNICAL WORKS (PATEL ET AL.,
2007) ..........................................................
143 TABLE 8. CONTINGENCY PLANS FOR DEEP EXCAVATION (ABDEL-RAHMAN,
2007)
.......................................................................
147 TABLE 9. SUMMARY OF THE FINDINGS OF THE COMMON
EMPIRICAL/SEMI-EMPIRICAL METHODS FOR AVERAGE WORKMANSHIP IN TERMS
OF
THE EXCAVATION DEPTH (HE) OR THE TRENCH/PILE DEPTH (D)
.......................................................................................
149
-
8
The most fruitful research grows out of practical problems.
Ralph Peck
-
9
1. INTRODUCTION
There is a worldwide increasing demand to utilize the
underground space in the developments of
the urban congested areas for different purposes such as
transportation tunnels, underground
parking garages, basements and utilities. Such developments call
for deep vertical excavations
and underground tunneling that are frequently close to existing
structurally-sensitive buildings
and utilities. As deep excavations initiate lateral and vertical
ground deformations due to the
stresses relaxation and bottom heave associated with the
excavation process, the adjacent
buildings and buried utilities become kinematically loaded by
the induced ground deformations
which depend in magnitude and direction on the building
proximity to the excavations as
schematically demonstrated in Figure 1. It is well-acknowledged
that the control of ground
movements and protection of adjacent or overlying structures is
a major element in the design
and construction of deep excavations and tunneling in urban
areas (Gill & Lukas, 1990; Son,
2003; Son & Cording, 2005 & 2007; Hsiao, 2007;
Zapata-Medina, 2007; Lam, 2010 and others).
Figure 1. Ground and building deformations induced by a deep
excavation (Hsiao, 2007)
To date, failures of structures or roadway adjacent to
excavation occur despite the recent
advances made in assessing the stability of excavations and the
effects of excavations on nearby
properties. Figure 2 shows a very recent example of a failure
case history for a collapsed 13-floor
building by toppling in Minhang District of Shanghai, China. The
failure, which happened in in
2009, was due to a nearby deep excavation which overloaded the
piles of the collapsed building.
Chai et al. (2014) indicated that the failure was initiated by
lateral overloading on the pile
foundation due to excavation near one side of the collapsed
building and stockpiling the
excavation at another side of the building. The unbalanced
excavation and fill on the sides of the
collapsed building induced lateral loads on piles were also
accompanied by unforeseen soil
softening due to a rain event. This failure case history
indicates the viral need for supporting
walls for deep excavations in urban areas even in soils that can
sustain cuts to avoid affecting the
adjacent structures with the induced deformations. Commonly, a
wall is required to support deep
excavations especially in urban areas to minimize the induced
deformations. Therefore, the term
deep excavation herein is meant as a supported deep vertical
excavation by means of a peripheral
wall. Deep excavations are also termed herein and in the
literature as braced excavations (Puller,
2003).
-
10
Another very well-known recent failure is the failure of Nicoll
Highway in Singapore, Figure 3,
which occurred due to insufficient site investigations,
misinterpretation of the observations,
faults in design of the bracing system, and utilization of
unsuitable method for wall strutting by
jet grouting (Whittle & Davies, 2006; Lee, 2008).
Figure 2. Failure of a building in China in 2009 that was
initiated by a nearby deep excavation
Figure 3. Failure of a deep excavation adjacent to Nicoll
Highway, Singapore (Lee, 2008)
-
11
Serviceability problems associated with the substantial
foundation settlement and lateral
deformations induced by deep excavations are much more
widespread than failures. Structure
may experience distresses such as cracking of structural or
architectural elements, uneven floors,
or inoperable windows and doors due to the induced deformations.
Figure 4 shows an example of
a cracked external wall due to a nearby excavation. The amount
of the tolerable deformations
and the severity of excavation-related damage depend on the
building type, configuration and
stiffness as well as the characteristics of excavation support,
the ground geotechnical conditions
and the construction sequence. Both geotechnical and structural
engineers are required to
collaborate in quantifying the amount of building settlement,
assess the possible structural
damages and set up the counter measures and risk mitigations to
avoid such damage (Boscardin
and Cording, 1989; Burland, 1995; Boone, 1996 & 2001; Boone
et al., 1998 & 1999; Long,
2001; Finno and Bryson, 2002; Finno et al., 2002; Son, 2003; Son
and Cording, 2005 & 2007;
and others).
Figure 4. A masonry wall suffered from severe cracking due to
ground deformations (Vatovec et al., 2010)
It is acknowledged that the effect of deformations associated
with deep excavation depends on
the geotechnical characteristics of the soils. The less strength
and more compressible the soils
have, the more pronounced effects and deformations are
anticipated. Awkwardly, most of the
deep excavations are in urban areas that have deltaic soils
originating from rivers and oceans;
they comprise sediments such as silts, clay and sands under
shallow groundwater table. Such
deltaic soils are often encountered in the most densely
populated areas in the world. This fact
emphasizes the need to predict, control and mitigate the
deformations resulting from deep
excavations (Peck, 1969a; El-Nahhas, 1992 & 2006; Boone,
1996 & 2001; Bolton, 2008; and
others).
-
12
Nationally, most of the developments that need deep excavations
in Egypt are located in the
Greater Cairo area which is characterized by recent Nile
alluviums with shallow groundwater
table. Geologically, the Nile developed its course in this area
through the down faulting of the
limestone extending between the El-Muqattam cliff and the
Pyramids plateau and deposited
recent alluviums of alternating layers of cemented silty sand,
clayey sand and medium to coarse
sand underlain by very stiff plastic clay that rests on the
limestone marine formations as
illustrated in Figure 5 (Said, 1981; El-Sohby & Mazen, 1985;
El-Ramli, 1992; El-Nahhas, 2006;
and others).
Figure 5. Typical formations in the Greater Cairo area (El-Sohby
and Mazen, 1985)
The geotechnical conditions of the Nile alluviums are considered
problematic for deep
excavation particularly as the expected deformations impose
risks on the adjacent structures and
utilities including possible loss of support to existing
foundations and structurally distressing
buildings, pavements and utilities surrounding the excavation.
Notwithstanding these
engineering challenges, there is an ever growing need for
utilization of underground space in
Greater Cairo in the last decades due to the scarcity of the
ground space and the high cost of
lands in this area (El-Nahhas et al., 1988 & 1990;
El-Nahhas, 1992 & 2006; Abdel-Rahman,
1993; Abd El-Salam, 1995; Ahmed & Abd El-Salam, 1996; Ahmed
et al., 2005; Abdel-Rahman,
2007; Abdel-Rahman & El-Sayed, 2009 and others).
Precise evaluation of the ground displacements induced by a deep
excavation is not simple to be
achieved due to the uncertainties in soil properties,
constitutive modeling, construction stages,
three-dimensional and time-dependent natures of the problem, and
the need for incorporation of
human factors such as workmanship in the models. Notwithstanding
that, reasonable assessments
can be reached if the diverse methods for analysis are carefully
studied by an experienced
geotechnical engineer to reach a solid evaluation. Predicting
the induced movements and
mitigating them by suitable means became more feasible with the
development of observational
methods and the non-linear finite element analysis procedures
and software since the early
1970s. (Peck, 1969b; Lambe, 1970; Clough & Duncan, 1969
& 1971; Duncan & Clough, 1971; Goldberg et al. 1976 ;
ORourke et al., 1976; Boscardin et al., 1979).
-
13
Generally the methods to obtain the deformation field can be
categorized into empirical/semi-
empirical methods, numerical methods, analytical methods,
physical/centrifuge modeling, and
Artificial Neural Networks (ANNs). It is also to be noted that
the assessment of deformations
associated with deep excavation depends if there is a building
in the vicinity of the excavation or
not. For the case of no buildings, the ground deformations are
designated as free-field or
greenfield. The presence of the building modifies the induced
deformation due to the building
weight and stiffness. Heavy flexible buildings may have more
deformations that the expected
greenfield while light rigid building may have less deformations
that the anticipated greenfield
(Chang, 1969; Chandrasekaran & King, 1974; Clough &
Manna, 1976; Brown & Booker, 1986;
Powrie & Li, 1991; Ng, 1992; Abdel-Rahman, 1993; Morrison,
1995; Bentler, 1998; El-Nahhas
et al., 1989, 1994 & 1998; Seok et al., 2001; Fayed, 2002;
El-Nahhas & Morsy, 2002; and
others)
The traditional single, fully developed design with no intention
to vary the design during
construction does not exist in geotechnical engineering,
particularly, in deep excavation and
tunneling projects. Peck (1969b) coined the observational
approach to be adopted in geotechnical
projects. In this approach, the instrumentation and monitoring
are required to be carried out to
provide confidence to the administratively controlling
authorities and the affected third parties
such as the owners of the adjacent buildings. Monitoring results
often integrate with the design
and enhance the reliability of the design assumptions by
validating the design parameters as the
construction proceeds. Inverse analysis of the monitoring data
provides the appropriate tool to
combine observational and analytical approaches to enhance risk
mitigations and managements
(Clough, 1975; Powderham, 1994, 1998 & 2002; Powderham &
Nicholson, 1996; Powrie &
Kantartzi, 1996; Nicholson & Penny, 1999; Hashash et al.,
2004 & 2010; Abdel-Rahman, 2007;
Lee at al., 2007; and others).
In this state-of-the-art report, the following issues are
highlighted:
1. Factors affecting the deformations associated with deep
excavations; 2. Assessment of the ground deformations outside the
deep excavation using different
approaches (viz., empirical/semi-empirical, numerical;
analytical, physical modeling and
ANN approaches);
3. Influence of the presence of buildings on the displacements;
4. Structural damage criteria; 5. Monitoring programs for deep
excavation projects; & 6. Risk management and mitigation for
deep excavation projects
In addition to the International studies presented in this
state-of-the-art covering the
abovementioned points, National experiences in assessments of
the deformations induced by
deep excavations, monitoring programs, risk assessment and risk
mitigation are also highlighted.
-
14
2. FACTORS AFFECTING EXCAVATION DEFORMATIONS
Ground deformations associated with deep excavations are
inevitable. The relaxation of the
horizontal stress by the excavation induces horizontal movements
of the wall and the soil
towards the excavation accompanied by vertical deformations of
the soil around the excavation.
The vertical deformations are mostly downward deformations
(settlements); yet, sometimes
upward deformations (heaves) are measured adjacent to the wall
or at far distances from the wall.
Settlement may be associated with the instability of the
excavation base in clayey soils.
Deformations may also occur due to the increases in the
effective stresses during lowering
groundwater table (Caspe, 1966; Goldberg et al., 1976; ORourke,
1981 & 1993; Clough and ORourke, 1990; Ou et al., 1993 &
2000; Hseih & Ou, 1998; Poh et al., 2001; Kung, 2003; and
others).
Prior to the revolutionary state-of-the art paper of Peck
(1969a) in which he demonstrated that
substantial deformations associated with deep excavations and
tunneling may occur,
geotechnical engineers used to assume that that deformations are
negligible if the excavation
have adequate factor of safety against potential failures.
Later, ORourke et al., (1976) and Boscardin et al. (1979) reported
that sensitive structures were damaged due to the deformations
induced by an adjacent deep cut in Washington D.C., even though
the bracing experienced no
structural distress. Since then, it has been acknowledged that
excavations are commonly
accompanied by significant deformations that may considerably
affect adjacent facilities even if
they have adequate factor of safeties against possible
failures.
It is a common practice to support deep excavations by
continuous walls in urban areas to limit
the induced movements. The excavation support systems for deep
excavations consist of two
main components: a wall, and its lateral supporting elements.
Many types of walls and supports
have been used in deep excavations. Walls supporting deep
excavation may be classified into
following three major categories according to the form of
supporting measures provided for
them:
1. Cantilevered wall (usually for shallow excavation); 2.
Strutted/braced wall; & 3. Tied-back or anchored wall
Under each of the above support category, the following wall
types may be utilized:
1. Sheet pile wall; 2. Soldier pile and lagging wall (Berlin
wall); 3. Contiguous bored piles wall; 4. Secant piles wall; 5.
Diaphragm wall; & 6. Soil-mixing walls
Puller (2003) described the aforementioned systems and other
less widely used support systems
in considerable detail. The excavation-induced deformations may
be affected by a large number
of factors such as: wall stiffness, ground conditions,
groundwater condition and control
measures, excavation depth, construction sequences, and
workmanship. The following sections
address some of the important factors that profoundly affect the
induced deformation and hence
the associated building damage.
-
15
2.1. Soil Type
Peck (1969a) showed that settlements next to deep excavations
correlate to soil type. He
proposed three zones of settlement profiles based on the
prevailing soil conditions as illustrated
in Figure 6. In general, larger wall deflection and ground
deformations are induced due to
excavations in soils with lower strength and stiffness. The same
conclusion was reached in many
other following studies (e.g., Goldberg et al., 1976; Clough
& ORourke, 1990; Bentler, 1989; and others). This aspect is
further elaborated in Section 3 of this state-of-the-art
addressing
empirical and semi-empirical method for assessment of the
deformation induced by deep
excavation.
Figure 6. Effect of the soil type on the settlements induced by
deep excavation (Peck, 1969a)
2.2. Wall Stiffness and Excavation Stability
Stability and deformation are interrelated. Walls with large
factors of safety against potential
collapses have small strains around the excavation;
consequently, the ground deformations are
also likely to be also small. Conversely, if the factors of
safety (or some of them) are small,
strains around the excavation and ground deformations may become
large. Additionally, the wall
stiffness greatly affects the induced ground movements. Goldberg
et al. (1976) showed using
finite element and measured data that the maximum lateral
deformations for deep excavations in
clays can be estimated using the stability number of the
excavation H/cu (where is the soil unit weight, H is the depth of
the excavation and cu is the undrained shear strength) and the
stiffness
of the supporting system EwIw/h4 (where Ew is the youngs modulus
of the wall, Iw is the moment
of inertia of the wall per linear meter, h is a representative
unsupported length of the wall such as
the average distance between struts). Figure 7 illustrates the
findings of Goldberg et al. (1976).
-
16
Figure 7. Effect of wall stiffness and soil stability number on
the wall deformations in clays (Goldberg et al., 1976)
Mana & Clough (1981) utilized the finite element and the
field measurements to relate the
maximum wall movements with the factor of safety against basal
heave in clays as shown in
Figure 8. The quasi-constant non-dimensional movement are at
high safety factor is an indication
of an elastic response. The rapid increase in movements at lower
factor of safety is a result of the
induced plastic deformations.
Figure 8. Effect of the basal heave stability on the wall
deformations induced by deep excavations in clays (Mana &
Clough, 1981)
-
17
Clough et al. (1989) and Clough & ORourke (1990) utilized
the nonlinear finite elements and field measurements to determine
the effect of the wall stiffness on the maximum lateral wall
movement in clays that is induced by excavation. They introduced
a system stiffness factor,
similar to Goldberg et al. (1976), for estimating wall stiffness
of unit thickness (plane strain)
which depends on wall material, section properties and support
spacing; this factor is giving by:
4
avewh
EIk
(1)
where k = Dimensionless system stiffness
E = Youngs modulus of wall system I = Moment of inertia of wall
system
have = average vertical distance between tiebacks/struts
w = unit weight of water = 9.81 kN/m3
The results of their analyses are shown in Figure 9.
Figure 9. Effect of the basal heave stability and the system
stiffness on the wall deformations induced by deep
excavations in clays (Clough at al., 1989)
According to the introduction of the system stiffness factor,
the retaining system can be
categorized into two-categories:
1. Flexible systems (e.g., sheet-pile walls, soldier beam and
lagging): Generally the stiffness factors k for these systems are
less than 40.
2. Stiff systems (e.g., secant pile wall, tangent pile wall,
diaphragm walls): Generally the stiffness factors k for these
systems are greater than 300.
The selection of system stiffness and spacing generally relies
on economic as well as practical
issues such as minimum spacing to accommodate construction
activities.
-
18
Clough at al. (1989) and Clough & ORourke (1990) concluded
that the wall stiffness is less effective in reducing movements
than in cases with high factor of safety against basal
instability.
However, in case of having low factor of safety against basal
heave, the wall stiffness affects the
deformation greatly. The aforementioned studies suggest that the
maximum lateral wall
movement for stiff systems (i.e., thick diaphragm walls or
secant piles walls) in stable soils (i.e.,
factor of safety against bottom heave is greater than 3) is
limited to approximately 0.2% of the
excavation depth regardless of the system stiffness.
Clough et al. (1989) ignores the increase of stability due to
wall embedment. Hashash et al.
(2008) showed that the wall embedment and stiffness may limit
the soil movements to much
lower magnitudes than what is predicted in Figure 9.
Long (2001) analyzed 296 case histories and checked Clough et
al. (1989) chart against the study
data. Substantial scatter was noted as shown in Figures 10 &
11. He concluded that the wall
stiffness does not affect the deformation if the excavation has
a factor of safety against basal
heave more than 3.
Figure 10. Normalized field measurements of the lateral
deformations against Clough & ORourkes (1990) system
stiffness and basal heave factor of safety for cases with low
factor of safety (FOS
-
19
Figure 11. Normalized field measurements of the lateral
deformations against Clough & ORourkes (1990) system
stiffness and basal heave factor of safety for cases with high
factor of safety (FOS>3) (Long, 2001)
Moormann & Moormann (2002) and Moormann (2004) reached the
same conclusion of Long
(2001) that Clough et al. (1989) and Clough & ORourkes
(1990) system stiffness factor needs to be revisited after
reviewing more than 500 case history in both soft and stiff clays.
Figures 12
& 13 show the substantial scatter of the database points
with respect to Clough et al.s (1989) curves. Moormann (2004)
attributed the lack of dependency of lateral movements on
system
stiffness as predicted by to the factors like:
1. Soil conditions at the embedment portion of the wall; 2.
Groundwater conditions; 3. Effect of the surrounding buildings or
geometrically irregularities; 4. Workmanship; 5. Unforeseen events
and excavation sequence; 6. Pre-stressing of struts and anchors;
& 7. Time-dependent effects.
-
20
Figure 12. Normalized field measurements of the lateral
deformations against Clough & ORourkes (1990) system
stiffness and basal heave factor of safety for soft clay
(Moormann, 2004)
Figure 13. Normalized field measurements of the lateral
deformations against Clough & ORourkes (1990) system
stiffness and basal heave factor of safety for stiff clay
(Moormann, 2004)
-
21
Zapata-Medina (2007) proposed a revised system stiffness factor
which gives more reliable
results with the data using the data of 30 case histories that
comprise soft, medium and stiff
clays. A graph showing the favorable correlation between the
maximum lateral deformation, the
factor of safety and revised system stiffness is shown in Figure
14. The recommendations of
Zapata-Medina (2007) are further elaborated in the Section 3 in
this state-of-the-art report.
Figure 14. Normalized lateral wall movements vs. relative
stiffness ratio, R, for deep excavations in cohesive soils
(Zapata-Medina, 2007).
It is to be noted that Zapata-Medinas (2007) utilized Ukritchon
et al.s (2003) factor of safety (FS) against basal heave as shown
in Figure 14. The factor of safety could reach as low values as
0.65 in the analyses without having a failure of the excavation;
instead, large ground
deformations were observed. This note was not clarified by
Zapata-Medina (2007)
Juang et al. (2011) explained the lack of dependence of the
induced deformations on the system
factor by stating that the ground movements are essentially
functions of the following six
parameters in addition to the system stiffness:
1. Excavation depth; 2. Excavation width; 3. The depth from the
bottom of excavation to the hard stratum; 4. The normalized clay
layer thickness (Hclay /Hwall) where Hclay is the sum of the
thicknesses of the clay layers and Hwall is the wall depth;
5. The ratio of shear strength over vertical effective stress
(su /v); & 6. The ratio of initial Youngs tangent modulus over
vertical effective stress (Ei /v)
The factor of safety against basal failure also affects the
shape of the settlement trough
associated with deep excavation. Mana and Clough (1981) found by
numerical analyses that the
width of the settlement trough increases with the increase of
the factor of safety as shown in
Figure 15.
-
22
Figure 15. Effect of the factor of safety on the settlement
trough width (Mana and Clough, 1981)
2.3. Overconsolidation (OCR) and At-Rest Earth Pressure
Coefficient (Ko)
Overconsolidated soils generally have higher at-rest lateral
pressure (Ko) than normally
consolidated soil (Mayne & Kulhawy, 1982). Potts &
Fourie (1984) studied the behavior of a
single propped retaining wall has been using elasto-plastic
finite element method. They
concluded that by increasing the at-rest coefficient (Ko), the
deformations, forces and bending
moments in the wall substantially increase and even may exceed
those calculated using the
simple limit equilibrium approach which is in common use. The
behavior of excavated walls in a
high-Ko soil is dominated by the vertical unloading forces
caused by the excavation as shown in
Figure 16. Additional horizontal restraint in the form of
multi-propping, while reducing
horizontal movements of the wall and soil, has a much smaller
effect on vertical movements.
Peck (1969a) noted that in highly overconsolidated clays, soil
tends to heave near to the wall.
Figure 16. Contours of stress level at an excavation depth of
13.26m: (a) Ko=2; (b) Ko=0.5 (Potts & Fourie, 1984)
-
23
2.4. Groundwater Conditions and Control Measures
Groundwater develops hydro-pressure against the walls of the
deep excavation supporting
system causing them to deform which adds to the ground
deformations associated with deep
excavations. Additionally, soils under water are generally
weaker than being above them due to
the effect of water in reducing the effective stress. Moreover,
the flow of groundwater towards
the excavations may endanger the excavations and the surrounding
buildings, particularly if it
occurs through the wall itself in lieu of the dewatering system.
The different groundwater flow
patterns associated with deep excavations are shown in Figure 17
(Clough & ORourke, 1990).
Figure 17. Groundwater flow patterns encountered in deep
excavations (Clough & ORourke, 1990)
Settlements are generated by the groundwater table lowering as
the soil is passing from a
submerged to a saturated unit weight which leads to an increase
of the effective stress as shown
in Figure 18. The settlement value depends on the drawdown of
the water table and the soil
stiffness. In sands, excessive pumping out the groundwater from
a deep excavation results in a
significant drop of the groundwater table within the surrounding
areas with possible excessive
settlement of the adjacent buildings and other structures and
piping if the exist hydraulic gradient
at the bottom of excavation exceeded the safe value. Puller
(2003) summarized the groundwater
control measures for deep excavations as shown in Figure 19.
-
24
Figure 18. Influence of the dewatering works on the ground
settlement
Figure 19. Groundwater control measures for braced excavation
(Puller, 2003)
-
25
Examples of groundwater-related failures and problems that
occurred to deep excavations due to
improper groundwater considerations in design and
construction:
1. The collapse of a deep excavation for an underground metro
station in Cologne, Germany in 2009, Figures 20 & 21, which
in-turn caused the collapse of the historical
City Archive Building. This failure is anticipated to be a
piping failure induced by the
groundwater high velocity that was not considered during the
design of the dewatering
system (Rowson, 2009).
2. A diaphragm wall leaked during the construction of a deep
exaction for a new underground station of the North-South Train
Line in Amsterdam, the Netherlands. This
leakage caused washing of sand below the foundations of
surrounding buildings and a
subsequent subsidence of 23 cm as shown in Figure 22. The
predicted costs have gone
up from 1.5 to 3 billion euros and the project completion was
shifted from 2011 to 2017
(Van Tol, 2010; Van Baars, 2011).
3. In 2005, a diaphragm wall leaked and surrounding houses
started to subside in a deep excavation for a garage in Middelburg,
The Netherland. To stop the subsidence, the pit
was filled with water until 2009, Figure 23, till new walls were
placed in the pit and the
pit was filled with 13,350 m3 of concrete; a loss of almost half
the volume of parking
space (Van Baars, 2011).
4. In 2007, a well-known failure of the diaphragm for The
Infinity Tower in Dubai occurred due to piping by seepage through a
diaphragm wall joint as shown in Figure 24.
Figure 20. Collapse of City Archive Building in Cologne
(Germany) due soil piping induced by dewatering
(Rowson, 2009)
-
26
Figure 21. The collapsed City Archive Building in Cologne
(Germany) (Rowson, 2009)
Figure 22. Damage due to Subsidence along an underground station
of the North-South Train Line in Amsterdam
(Van Baars, 2011).
-
27
Figure 23. Leakage and damage at the building pit in Middelburg,
the Netherland (Van Baars, 2011)
Figure 24. Failure of a diaphragm wall in The Infinity Tower in
Dubai in 2007. The chronological sequence of
events is (a) to (d)
(a) (b)
(c) (d)
-
28
To avoid problems associated with groundwater and to minimize
the effect of groundwater
lowering on the adjacent buildings, the concrete diaphragm walls
in the Greater Cairo Metro was
extended deeper without reinforcement and a low permeability
grouted plug is provided at their
toes as shown on Figure 25-a to avoid the possible effects of
the large groundwater drawdowns
as schematically shown in in Figure 25-b. The grouting materials
were injected in two stages:
bentonite-cement slurry and soft-silica gel, in order to reduce
the permeability of the sand to 10-6
m/s. Thickness of the grouted plug and its elevation are
selected to satisfy a safe limit of the
average hydraulic gradient within the plug (less than 3) and an
average buoyancy factor of safety
of 1.1 of the remaining soil mass below the final excavation
level (El-Nahhas, 2003 & 2006; El-
Nahhas et al., 2006).
(a) With plug (utilized in Greater Cairo Metro)
(b) without plug causing large drawdowns
(not utilized in the Greater Cairo Metro)
Figure 25. Schemes for groundwater control in a deep excavation
(El-Nahhas, 2006).
2.5. Strut/Tie-back Prestressing
Support systems for deep excavations consist of two main
components: The wall and the support
provided for the retaining wall as struts (braces), rakers, and
tieback anchors. Clough (1975)
demonstrated the effects of pre-stressing of braces to control
wall deformations. The wall
movement is plotted against the normalized prestressing force
for sands and stiff clays as shown
in Figure 26. For both sands and stiff clays, the movements
decrease with increasing prestressing
force of the tie-backs. Clough (1975) suggested that the optimum
effect of prestressing in
reducing movements is achieved by using pressure levels slightly
greater than those of Terzaghi
& Peck (1967).
ORourke (1981) observed that the effective stiffness of braces
could be as low as two percent of the ideal stiffness due to
compression of the bracing and its connections without imposing
an
initial prestressing. Mana & Clough (1981) showed that
increasing the stiffness of the
strut/anchor/raker reduces the deformation 40% as shown in
Figure 27.
-
29
Figure 26. The effect of prestressing on the wall deformations
(Clough, 1975)
Figure 27. The effect of the strut stiffness on the maximum
lateral deformation of the wall and the maximum
settlement (Manna & Clough, 1981)
-
30
2.6. Construction Sequence
Generally, the following two different approaches are frequently
utilized in deep excavations:
Conventional (down-top) construction: The excavation between the
supporting walls (i.e., pit excavation) starts after installing the
supporting walls and operating the
groundwater control measures. The excavation proceeds
sequentially with the
installation of the struts, tie-backs and/or rakers to the
foundation level of the permanent
structure. After that, the construction of the permanent
structure starts from bottom to
the top. The first element of the permanent structure to be cast
is the raft foundations. An
example of this method of construction is the construction of
the Greater Cairo Metro -
Line 1 as show in Figure 28. The supporting wall may or may not
be integrated with the
permanent structure. If the walls are be integrated with the
structure, then, they should be
diaphragm walls.
Figure 28. Construction procedure steps for the Greater Cairo
Metro - Line 1 (El-Nahhas et al., 1988)
Top-down construction: In this method of construction, the
basement slabs are formed and poured on the existing subgrade. The
top slab of the basement in the permanent
structure is cast after installing the supporting walls (walls
should be diaphragm walls).
The top basement slab is considered the first support to the
wall. After that, operation of
the dewatering system and pit excavation under the top slab
proceed till reaching the
level of the second slab which is to be cast against the
subgrade at this stage. Temporary
supports are also installed while excavating. Excavation shall
continue to reach the
foundation level and then the raft foundation is to be cast.
Excavation supporting walls
are always integrated within the permanent structure. An example
of the top-down
construction is Rod El-Farag Station in the Greater Cairo Metro
Line 2 as illustrated in Figure 29.
-
31
(a) configuration of the station
(b) stages of construction
Figure 29. Rod El-Farag Station (Ahmed and Abd El-Salam,
1996)
-
32
It is anticipated the top-down construction has much less
deformations than the conventional
down-top construction due to the early installation of the top
slab which acts as a support for the
wall. However, since the tope slab cannot be prestressed, it
appears that the conventional (down-
top) construction with prestressed anchors/struts gives less
cantilever deformations than the top-
down construction in soft clays especially as the top slab may
suffer from shrinkage after its
casting and this limits its efficiency (Long, 2001).
It is also to be noted that the top-down construction helps to
eliminating the top supports such as
tie-backs which may interfere with the foundations of the
adjacent buildings (especially if they
are shallow foundations) and the nearby utilities. On the other
hand, top-down construction
reduces the rate of excavation since excavations works start
under the cast slabs in a restricted
narrow space.
2.7. Wall Lateral Deformation Patterns
Goldberg et al (1976) identified different settlement patterns
following the wall lateral
deformations patterns as shown in Figure 30. They showed that
the settlement behavior do not
only depend on soil type but also on the wall lateral
deformations as well.
Figure 30. Settlement patterns associated with different wall
deformation modes (Goldberg et al. 1976).
-
33
Clough and ORourke (1990) According to the method of
construction the wall deform in two modes: cantilever mode, and
bulging mode. The settlement troughs associated with each mode
are different as shown in Figure 31. Boone (2003) and Boone
& Westland (2005) concluded the
same effect of wall deformation on surficial settlement trough
as shown in Figure 32.
Figure 31. Modes of deformation of the wall (Clough and ORourke,
1990)
Figure 32. Lateral and vertical displacement patterns: concave
on left, spandrel on right (Boone 2003; Boone &
Westland, 2005).
ORourke (1981) envisaged a factor called the Coefficient of
Deformation (CD) which is defined
as the ratio of the cantilever deformation component (Sw) to
total deformations (Sw + Sw) where Sw is the bulging component of
the wall displacement. Figure 33 shows the relationship between CD
and ratio of the maximum wall lateral deformation to the maximum
ground settlement
relationship for clays. Accordingly, the maximum surficial
settlement associated with the
cantilever mode (CD=1) is about 0.63 times the maximum lateral
cantilever deformation of the
wall; while, the maximum settlement associated with the wall
bulging mode (CD=0) is about 2
times the maximum lateral wall bulging deformation. Mana &
Clough (1981) suggested that the
maximum vertical cumulative deformation is ranged between 0.5
& 1 times the maximum lateral
deformation of the wall based on field measurements as shown in
Figure 34.
-
34
Figure 33. The ratio between the maximum horizontal to vertical
displacement as a function of the Coefficient of
Deformations (ORourke, 1981)
Figure 34. The ratio between the maximum horizontal to vertical
displacement (Mana & Clough 1981)
In the following sections, the settlement patterns associated
with cantilever and bulging modes of
deformations of the wall are elaborated. The empirical and
semi-empirical patterns associated
with the cumulative pattern of the wall are demonstrated in
Section 3 of this-state-of-the-art.
-
35
2.7.1. Settlement pattern associated with the wall cantilever
deformation mode
Caspe (1966), Bowles (1988), Aye et al. (2006) utilized analysis
for the induced settlement that
is anticipated to be associated mainly with the wall cantilever
mode as shown in Figure 35. The
lateral wall deflection are to be determined using the 1D
beam-spring model (refer to Section 4.1
in this state-of-the-art report) and numerically integrated to
obtain the volume of the wall
deflection (Vo) utilized in this method.
Figure 35. Deformations prediction from lateral wall deflection
values proposed by Aye (2006):
(a) settlements; (b) lateral deformations
Ou et al. (1993) presented a tri-linear settlement profile
called spandrel-type settlement based on
10 case histories of deep excavation in soft clays from Taipei,
Taiwan. The maximum settlement
is located at the wall when the wall deforms as a cantilever.
The settlement trough is shown in
Figure 36.
-
36
Figure 36. Spandrel-type settlement trough (Ou et al., 1993)
Lee et al. (2007) proposed that lateral Sh and vertical Sv
deformations associated with the wall
cantilever mode can be presented in terms of the maximum wall
deformations Sw and the trough
width W using Gaussian distribution, Figure 37, as follows:
(3)
(4)
Where is the ratio between the maximum wall deflection and the
maximum surface settlement and can be assumed to be 0.5 for
diaphragm wall & 1 for sheet pile wall.
Figure 37. Assumed Gaussian distribution for lateral and
vertical ground deformations (Lee et al., 2007)
-
37
2.7.2. Settlement pattern associated with the wall bulging
deformation mode
Hsieh & Ou (1998) presented a concave settlement profile for
the bulging mode of wall based on
analysis of 9 case histories. The maximum settlement is assumed
to occur at 0.5 He, where He is
the excavation depth from the wall. The settlement at the wall
is approximated to 50% of the
maximum settlement as shown in Figure 38.
Figure 38. Concave settlement profile (Hsieh & Ou, 1998)
Karlsrud (1997a) proposed a relationship between the maximum
wall deformation and the
surficial ground settlement concave pattern, Figure 39, based on
data from sites with soft clays
and loose to medium dense sand and silts. The dashed lines close
to the wall reflects impact of
the potential for movements of the tip of the wall. Thus for
structures laying at distances from the
wall smaller than 0.2 times the depth to zero lateral
displacement, the settlements may be quite
uncertain.
Figure 39. Relationship between wall movement and ground
settlements for soft/loose soils (Karlsrud, 1997).
-
38
Schuster et al. (2009) proposed a concave settlement pattern
along with its associated lateral
deformation patterns as shown in Figure 40. The settlement at
the wall is about 20% of the
maximum settlement. The lateral deformation affecting nearby
building changes from concave
shape at the ground surface to spandrel shape to depth of 5m
depending on the foundation depth
of the building.
Figure 40. Vertical and horizontal ground movement patterns as a
function of the excavation depth (He) and the
distance from the wall (d) (Schuster et al. 2009)
For the subsurface settlement associated with concave settlement
trough, Aye et al. (2006)
proposed a vertical distribution similar to their
recommendations for the spandrel-type settlement
as shown in Figure 41.
-
39
Figure 41. Subsurface settlement distribution for concave
settlement profiles (Aye et al. 2006)
2.8. Time-Dependent Effects
For an excavation in clays, longer durations for installing the
strut or constructing the floor slab
may cause larger wall deflection due to the occurrence of
consolidation or creep of clay. Studies
that addressed that aspect by assessing the soil consolidation,
as one of the components of the
wall and ground deformations, were carried out based on finite
element analysis since it is not
possible to separate the consolidation deformation component out
of the total deformations from
the field data.
Osaimi & Clough (1979), Yong et al. (1989), Finno &
Harahap (1991), and Ou & Lai (1994)
showed that significant consolidation can take place during the
construction of a deep excavation
in clay and that the effects of consolidation are significant.
Consolidation and swelling during
excavation result in changes in the shear strength of soils and
time-dependent deformations. The
negative water pressure dissipates with time generated by the
excavation at the base of the
excavation which causes loss of some passive resistance that
occurs immediate after excavation.
This leads to time-dependent deformations in the wall and the
soil behind the wall.
2.9. Excavation Geometry and Three-Dimensional Effects
2.9.1. Excavation dimensions and depth to firm layers
Manna and Clough (1981) utilized non-linear finite elements to
study the effect of the excavation
dimensions and found that increasing the width of the excavation
and the depth to firm layer
increase the maximum ground settlement and the maximum wall
deflection as shown in Figures
42 & 43. Similarly, Hsiao (2007) demonstrated that the
maximum wall deflection has to be
modified by deflection reduction factor (K) due to presence of
hard stratum. The deflection
reduction factor (K) is related to the ratio of the depth to
hard stratum, measured from the current
-
40
excavation level, over the excavation width (T/B). At smaller
T/B ratios (T/B0.4, the influence of the hard stratum is negligible
as shown in Figure 44.
Figure 42. Effect of the excavation width on the maximum ground
settlement and the wall deflection (Mana &
Clough, 1981)
Figure 43. Effect of the depth to firm layer on the maximum
ground settlement and the wall deflection (Mana &
Clough, 1981)
-
41
Figure 44. The Effect of the hard stratum on the computed wall
deflection (Hsiao, 2007)
2.9.2. Corner effect
Ou et al. (1996) performed parametric three-dimensional finite
element analyses to investigate
the features of three-dimensional deep excavation behaviors.
They found that close relationships
existed between the aspect ratio for excavation geometry (B/L)
and wall deformation. B and L
are the excavation dimensions in horizontal plane in the
direction of lateral wall measurements
and the perpendicular direction, respectively. Increasing the
B/L decreases the wall deformation.
Additionally, the wall deformation of a deep excavation is
directly related to the smallest
distance from the corner (d). The smaller is the value of d, the
less is the wall deformation.
Ou et al. (1996) defined a ratio called the Plane Strain Ratio
(PSR). PSR is defined as the ratio
of the maximum wall deformation of the cross section at a
distance (d) from the excavation
corner to the maximum wall deformation in the plane strain
conditions of the same geometry.
They established the relationship between (PSR), (B/L) & (d)
based on the results of parametric
studies, as shown in Figure 45.
Figure 45. Plane strain ratio (PSR) as a function of the aspect
ratio (B/L) and distance from the corner (d)
(Ou et al., 1996)
-
42
2.9.3. Parallel distribution
Finno & Roboski (2005); and Roboski &Finno (2006)
studied deep excavations in soft to
medium clays based on the settlements that were observed using
optical survey around a 12.8 m
deep excavation in Chicago. The excavation was supported by a
flexible sheet pile wall and three
levels of regroutable anchors. They suggest a parallel
distribution for the deformation to account
for the corner effect. They found that the complementary error
function (erfc) can be used to
define the three-dimensional settlement distributions of ground
movement around excavation of
finite length.
(3)
where max can be either maximum settlement or maximum lateral
movement, L is the length of the excavation, and H is the height of
the excavation as presented in Figure 46.
Figure 46. Three-dimensional distribution of settlement and
lateral movement around finite deep excavation (Finno
& Roboski, 2005; Roboski &Finno, 2006)
-
43
2.10. Wall Installation Effect
The wall installation process can cause significantly movements
in the surrounding ground. The
assumption of negligible deformations associated with wall
installation may lead to a substantial
underestimation of excavation-related lateral movements (Ng and
Yan, 1999; Gourvenec and
Powrie, 1999; Abdel Rahman and El-Sayed, 2002a, 2002b &
2009; El-Sayed and Abdel-
Rahman, 2002).
In a survey of the problematic deep excavations in The
Netherlands carried out between years
2007-2012, Korff & Tol (2012) noted that many problematic
deep excavation cases have been
reported as the designer of the wall supporting the deep
excavation disregarded the installation
effects of the walls and foundations. Although a lot of efforts
are often not saved into the design
of the wall stiffness and related assessment of possible damage
to properties, the installation and
the associated deformations are often excluded which caused many
problems later.
Morton et al (1980), Budge-Reid et al (1984), Cowland &
Thorley (1984), and Thorley & Forth
(2002) reviewed the settlements induced by the construction of
the diaphragm walls in Hong
Kong, particularly for the Mass Transit Railway project where
soils are generally fill, marine
deposits and alluviums underlain by decomposed granite.
Settlement values up to 150mm were
reported for shallow foundations while less settlement was
reported for deep foundations as
shown in Figures 47, 48 & 49.
Figure 47. Settlement associated with trenching in Hong Kongs
MTR (Morton et al., 1980)
-
44
Figure 48. Maximum building settlements due to slurry trench
excavation for diaphragm walls as a function of
foundation depth in Hong Kongs MTR (Cowland & Thorley,
1984)
Figure 49. Building settlement due to diaphragm wall
installation in Hong Kongs MTR (Budge-Reid et al., 1984)
-
45
Clough & ORourke (1990) showed that significant settlement
may occur behind a diaphragm wall after installation (up to 0.15%
of the trench depth) as shown in Figure 50. Deep trenches in
Hong Kongs marine and alluvial deposits controlled the data
presented by Clough and ORourke (1990); therefore, it is
anticipated that Figure 50 overestimates the ground movements in
most cases.
Figure 50. Settlement due to installation of a diaphragm wall
(Clough and ORourke, 1990)
Finno et al. (2002) observed that 25% of the total lateral
movement occurred after installation pf
secant piles wall in soft to medium Chicago clay, as can be
shown in Figure 51. It was concluded
that lateral movements of this magnitude cannot be neglected and
must be taken into account
when designing support systems, especially when sensitive
structures are nearby.
Figure 51. Lateral deformation associated with trenching for
secant piles installed in Chicago clay
(Finno et al., 2002)
-
46
Poh and Wong (1998) investigated the influence of specific
construction methods utilized to
install the diaphragm wall on the magnitude of lateral
displacements. They found that the lateral
displacements decrease only slightly (approximately 10 percent)
as the slurry level increases;
while the lateral displacements by approximately 50 percent if
the slurry level decreases. They
also noted that increasing the holding time (i.e. time after the
completion of the trench, but
before concreting) slightly the lateral soil movements
(approximately 20 percent after 24 hours)
as shown in Figure 52.
Figure 52. The effect of slurry level variation and its holding
time on the lateral deformations associated with
trenching (Poh and Wong, 1998)
CIRIA report 580 (Gaba et al., 2003) summarizes horizontal and
vertical wall movements due to
installation of diaphragm walls and bored pile walls in stiff
clays as shown in Figure 53. While
Clough & ORourke (1990) predicted that the maximum
settlement could reach 0.15% of the trench depth, Gaba et al.
(2003) found out that the maximum settlement is 0.04-0.05% of
the
trench depth. The maximum lateral deformation is about 0.04 to
0.08% of the maximum trench
depth.
-
47
. Figure 53. Vertical deformations due to diaphragm wall
installation (Gaba et al. 2003)
Gourvenec and Powrie (1999) investigated the influence of panel
length and construction
sequence on the lateral deformations of a diaphragm wall. Figure
54 shows the lateral
displacements, normalized with respect to the maximum lateral
displacement corresponding to
the plane strain case, versus depth, normalized with respect to
the wall depth, for different panel
lengths. It can be seen in the figure that the maximum lateral
displacements for panel lengths of
2.5, 3.75, 5 and 7.5 m are approximately 90, 75, 65 and 40
percent of the displacements obtained
for plane strains conditions ( L = ), respectively.
Figure 54. Influence of Panel Length on Lateral Displacements
(Gourvenec & Powrie, 1999).
-
48
Abdel-Rahman & El-Sayed (2002a & 2002b), El-Sayed &
Abdel Rahman (2002) and Abdel-
Rahman & El-Sayed (2009) studied a case history of diaphragm
wall trenching and pit
excavation in Nile alluviums of the Greater Cairo. They
augmented the field data with 2D and
3D finite elements. They have concluded the following:
Using 3D finite elements, the maximum settlement due to
trenching was estimated to be about 0.048% of the maximum height of
the trench for deep foundations and 0.03% of
the maximum height of the trench for shallow foundations.
Using 2D finite element, the maximum trenching settlement is
estimated as 0.045% of the trench depth for both shallow and deep
foundations as shown in Figure 55.
The maximum lateral deformation due to trenching is about 0.077%
of the trench depth for piles and 0.047 % of the trench depth for
the case of shallow foundations.
The maximum settlement in both cases was estimated to be 61% of
the lateral displacement as shown in Figure 56.
Figure 55. The settlement envelopes for shallow and deep
foundation due to trenching to a depth of 21m in the Nile
Alluviums in the Greater Cairo (Abdel-Rahman & El-Sayed,
2009).
-
49
Figure 56. The relationship between the lateral deformations and
the maximum settlement due to trenching in the
Nile Alluviums in the Greater Cairo (El-Sayed &
Abdel-Rahman, 2002).
2.11. Building Stiffness and Weight
There is a mutual influence between a building located nearby
deep excavations and the induced
deformations. Both stiffness and weight of the building affect
the final shape of the
deformations. The building stiffness tends to flatten the
deformation across the building; while
the building weight increases the deformation especially in
location close to the deep excavation.
Potts & Addenbrooke (1997) found that deformation induced by
tunneling building deformation
is an interactive problem that can be solved using two relative
stiffness ratios: a ratio expressing
for the bending stiffness of the building and the other is for
the axial stiffness of the building.
Goh (2010) and Goh & Mair (2011) modified the relative
stiffness ratios that were initially
proposed by Potts & Addenbrooke (1997) for tunneling to be
utilized for deep excavations. They
introduced design charts that allow considering the effect of
building stiffness on the induced
deformations. Mair (2011) showed that field data confirmed the
trend according to Goh (2010)
and Goh & Mair (2011). The approach of relative stiffness is
elaborated later in Section 10.3.3 in this state-of-the-art.
Burd et al. (2000) studied the deformation associated with
tunneling and found the following
differences between the building influence in sagging and
hogging ground deformation modes:
1. The stiffness of the building reduces the differential
settlement in sagging deformation. They suggest that the ground
provides a certain amount of lateral restraint when the
building is subjected to sagging deformation similar to the
conclusions of Burland &
Wroth (1974 & 1975).
2. In hogging mode, such a restraint is not provided and the
structure behaves more flexibly leading to higher degrees of damage
than in sagging. Burd et al. (2000) related this
behavior to the imposition of building weight which alters the
settlement behavior
compared to the greenfield deformations.
-
50
Elshafie (2008) performed centrifuge tests on model buildings
subject to excavation-induced
ground displacements as shown in Figure 57. Buildings with two
foundation types: raft and
isolated footings, were introduced near the deep excavation.
Simulated buildings were made
from micro-concrete with variable stiffness, weights and
interface roughness. He noted the
following:
1. Horizontal displacements are clearly influenced by a smooth
interface, leaving the green field soil displacements intact, even
for higher axial stiffness. Rough interfaces restrained
the horizontal movements of the building.
2. The roughness of the buildings-soil significantly affects by
the axial stiffness of the blocks. Increasing the roughness
increases the axial stiffness of the building. The effect
of the interface between the soil and the building is seen
especially for buildings with low
bending stiffness. Stiff buildings tend to tilt regardless of
the interface roughness.
3. The effect of building weight (up to 40 kPa) was small
(maximum about 10% increase in deflection ratio) as long as a high
factor of stability (> 1.4) of the wall was maintained.
This conclusion is in line with the findings of Franzius et al.
(2004) for the deformations
induced by tunneling.
4. Buildings with individual spread footings experience large
differential deformations, because footings outside the zone of
influence do not follow the influenced part of the
building. This results in significant distortions and tensile
strains concentrating at the
weak parts of the buildings.
Figure 5