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RESEARCH PAPER Finite-element modeling of a complex deep excavation in Shanghai Y. M. Hou J. H. Wang L. L. Zhang Received: 25 June 2007 / Accepted: 14 February 2008 / Published online: 15 August 2008 Ó Springer-Verlag 2008 Abstract The excavation of the north square under- ground shopping center of Shanghai South Railway Station is a complex deep excavation using the top-down construction method. The excavation has a considerable size and is close to the operating Metro Lines. In order to predict the performance of the excavation more accu- rately, 3D finite-element analyses are conducted to simulate the construction of this complex excavation. The effects of the anisotropic soil stiffness, the adjacent excavation, and zone excavation on the wall deformation are investigated. It is shown that the numerical simulation with anisotropic soil stiffness yields a more reasonable prediction of the wall deflection than the case with iso- tropic soil stiffness. The deformation of the shared diaphragm wall between two excavations is influenced by the construction sequence of the two excavations. The zoned excavation can greatly reduce the diaphragm wall deformation. However, only the zoned excavation at the first excavation stage affects the deformation of the walls significantly. When the depth of the excavation increases, the zoned excavation has minor effect on the deformation of diaphragm walls. Keywords Anisotropic stiffness Á Deep excavation Á 3D finite-element method Á Zoned excavation 1 Introduction With the rapid increase of construction in urban areas of Shanghai, more and more excavations are constructed adjacent to the existing Metro Lines or sensitive super- structures. The impact of the excavations on surrounding structures is a major concern. The excavation for the north square underground shopping center of Shanghai South Railway Station was a large size, complex deep excavation. The depth of the excavation was 14.7 m and the total area of the excavation was 40,000 m 2 . It was only about 3 m away from the operating Shanghai Metro Lines No. 1 and No. 3. In addition, the excavation of the interchange station of Metro Lines No. 1 and No. 3 was located besides this excavation in the northeast and was carried out during the construction of this excavation. A reliable prediction of the performance of this excavation is therefore essential in design stage. After its first application to the analysis of excavation by Clough et al. [2], the finite-element (FE) method has been used to predict soil deformations and wall deflections in many research studies [35, 8, 9, 11, 13]. FE analysis could estimate the wall deflections of complex excavations by simulating various construction sequences. The accuracy of the numerical analysis is mainly affected by the constitu- tive models of the soil. Ng et al. [10] illustrated the significance of inherent stiffness anisotropy on ground deformation around deep excavations. Generally, the soils in Shanghai are sedimentary soils, which are deposited through sedimentation followed by consolidation under accumulative overburden. Zhao et al. [16] performed a Y. M. Hou (&) Á J. H. Wang Á L. L. Zhang Civil Engineering Department, Shanghai Jiaotong University, 1954 Hua Shan Road, Shanghai, China e-mail: [email protected] J. H. Wang e-mail: [email protected] L. L. Zhang e-mail: [email protected] 123 Acta Geotechnica (2009) 4:7–16 DOI 10.1007/s11440-008-0062-3

2009 - Hou, Wang, Zhang - Finite-element Modeling of a Complex Deep Excavation in Shanghai

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RESEARCHPAPERFinite-element modeling of a complex deep excavation in ShanghaiY.M.Hou J.H.Wang L.L.ZhangReceived:25June2007 / Accepted:14February2008 / Publishedonline:15August2008Springer-Verlag2008Abstract The excavation of the north square under-ground shopping center of Shanghai South RailwayStationisacomplexdeepexcavationusingthetop-downconstructionmethod. The excavation has a considerablesizeandisclosetotheoperatingMetroLines.Inordertopredict the performance of the excavation more accu-rately, 3D nite-element analyses are conducted tosimulatetheconstructionofthiscomplexexcavation. Theeffects of the anisotropic soil stiffness, the adjacentexcavation, andzoneexcavationonthewall deformationareinvestigated. Itisshownthatthenumericalsimulationwith anisotropic soil stiffness yields a more reasonablepredictionof the wall deectionthanthe case withiso-tropic soil stiffness. The deformation of the shareddiaphragmwallbetweentwoexcavationsisinuencedbythe construction sequence of the two excavations. Thezonedexcavationcangreatlyreducethediaphragmwalldeformation. However, onlythezonedexcavationat therst excavationstageaffectsthedeformationofthewallssignicantly. Whenthedepthoftheexcavationincreases,thezonedexcavationhasminoreffectonthedeformationof diaphragmwalls.Keywords Anisotropicstiffness Deepexcavation 3Dnite-elementmethod Zonedexcavation1 IntroductionWiththerapidincreaseof constructioninurbanareasofShanghai, more and more excavations are constructedadjacent tothe existing MetroLines or sensitive super-structures. Theimpact of theexcavationsonsurroundingstructuresisa majorconcern.Theexcavationforthenorthsquare underground shopping center of Shanghai SouthRailway Station was a large size, complex deep excavation.Thedepthoftheexcavationwas14.7mandthetotalareaof theexcavationwas40,000m2. It wasonlyabout 3mawayfromtheoperatingShanghaiMetroLinesNo.1andNo. 3. In addition, the excavation of the interchange stationofMetroLinesNo. 1andNo. 3waslocatedbesidesthisexcavationinthenortheastandwascarriedoutduringtheconstruction of this excavation. A reliable prediction of theperformance of this excavation is therefore essential indesignstage.After its rst application to the analysis of excavation byCloughetal.[2],thenite-element(FE)methodhasbeenusedtopredict soil deformations andwall deections inmany research studies [35, 8, 9, 11, 13]. FE analysis couldestimate the wall deections of complexexcavations bysimulating various construction sequences. The accuracy ofthenumerical analysisismainlyaffectedbytheconstitu-tive models of the soil. Ng et al. [10] illustrated thesignicance of inherent stiffness anisotropy on grounddeformationarounddeepexcavations. Generally, thesoilsin Shanghai are sedimentary soils, which are depositedthrough sedimentation followed by consolidation underaccumulative overburden. Zhao et al. [16] performed aY. M.Hou(&) J.H. Wang L. L. ZhangCivilEngineeringDepartment,ShanghaiJiaotongUniversity,1954HuaShanRoad, Shanghai, Chinae-mail:[email protected]. H.Wange-mail:[email protected]. L. Zhange-mail:[email protected] 3ActaGeotechnica(2009)4:716DOI10.1007/s11440-008-0062-3series of oedometer tests to investigate the inherentanisotropyofasiltyclayinShanghai. Soil samplesweresliced at certain angles, i.e., 0, 15, 30, 45, 60, 75, and90,totheplaneofdepositionandextractedfromthesoillayer for the oedometer tests. They found out that thecoefcientsofcompressibilityofthesiltyclay, arediffer-ent for soil samples with different sampling angles (Fig.1).ThecompressibilityofthesiltyclayinShanghaigenerallyincreases withthe samplingangle. Therefore, it maybenecessarytoconsidersoilanisotropyinnumericalanalysisof deep excavation in Shanghai in order to obtain a realisticpredictionofgroundmovementoftheexcavation.In this paper, 3D nite-element modeling is used to studythe performance of this large size complex excavation of thenorth square underground shopping center of ShanghaiSouthRailwayStation. Thedetailedconstructionprocessincludinginstallationof foundationpiles anddiaphragmwalls,zonedexcavationandinstallationofhorizontalsup-portsystemissimulated. Thecalculatedwalldeectioniscompared with the observed performance. The effects of theanisotropic soil stiffness, the adjacent excavation, and zoneexcavationonthewalldeformationareinvestigated.2 GroundconditionsandconstructionsequencesThe excavation site of the north square undergroundshopping center of Shanghai South Railway Station islocatedonthesouthofShanghai. Figure2showsthelay-outoftheexcavation.Theexcavationwasonlyabout3mawayfromtheexistingtunnelsof Shanghaimetroline No.1andNo. 3, whichwereonthenorthwest andnortheastside of the excavation, respectively. The newroute ofShanghaimetrolineNo.1wasintheeastofthesite.The04.0x10-45.0x10-46.0x10-47.0x10-48.0x10-49.0x10-4 () p=0~50 kPa p=50~100 kPa p=100~200 kPa p=200~400 kPaCoefficent of compressibility: a 15 30 45 60 75 90Surface of thedepositionCut planeAngle of soil samplingFig.1 The relationship between the coefcient of compressibility and the angle of soil sampling of a silty clay in Shanghai (modied from Zhaoetal. [16])Shanghai south railway staitionNew metro line No. 1 (planned)Metro line No.1Diaphragm wallI1I2I3I4 I5 I6 I7I11I13I16I19I21I22I23I24 I25 I27I26I18I20I17 I15I14I12 I10I9I8I28I29I30I31I32I33I38I39I40I41I37 I36I35I34Inclinometers in wallMetro line No.3Excavation site of interchange station of metro line No. 1 and No. 3NScale0 10 20(m)123456Inclinometers in soilIT10IT1IT2IT3IT4 IT5 IT6IT7IT8IT9IT11Fig.2 Thelocationandinstrumentationoftheexcavationsite8 ActaGeotechnica(2009)4:7161 3minimumdistancebetweentheexcavationandthetunnelwas only 2m. In addition, the excavation of the inter-change station of Metro Lines No. 1 and No. 3 was locatedbesides this excavationinnortheast andwas constructedbefore this excavation. The retaining walls of the twoexcavationsweresharedbybothexcavations. Tomonitortheperformanceoftheexcavation, asshowninFig. 2, 41inclinometers I1I41 were installed in the diaphragm wallstomeasuretherotationanddeectionsof thewalls. Theinclinometers IT1IT11 was installed to monitor thegroundmovementnearthemetrotunnel.According to the site investigation report, the site isunderlain by thick, relatively soft, quaternary alluvial,andmarinedeposits. As showninFig. 3, thesubsurfaceconsist of a 1.2m thick ll layer, which is mainlymediumdensesand. Beneaththell layer, thereisa2mthicksiltyclaylayer. Twolayers of verysoft siltyclaywith total thickness of 16.8mare underneath the siltyclay layer. The subsequent soil layers are a silty sandlayer, asiltyclaylayer andasiltysandlayer. InFig. 3,thevariationof soil properties, i.e., thesoil unit weight,the water content, the void ratio of the soils, the com-pression index of the soils, etc., with the depth areillustrated. It canbeseenthat thesoilsinthisexcavationsite are generallysoft soils withlowshear strengthandlowmodulus of deformation.5040302010016 18 20 20 40 600.5 1.0 1.5 0.5 1.0 0 40 80 0 20 40 0 20 40Silty sandSilty clayVery soft silty clay Soil layersDepth (m)FillSilty claySilty sand 241 - 1t (kN/m3)wwlwpw,wl,wp (%) e CcSu (kPa) c (kPa) ()Fig.3 SoilprolesandvariationofsoilpropertieswithdepthFig.4 CrosssectionAAoftheexcavationActaGeotechnica(2009)4:716 91 3Figures4and5present theretainingstructures of theexcavationincrosssections AAandBB, respectively.The excavation was 14.7m deep with two basement levelsandwas supportedby0.8mthickdiaphragmwalls. Thedepthofthediaphragmwallswasabout24m.Asthetop-downmethodwasadopted, threelevelsof concreteoorslabs were employedtosupport the diaphragmwalls atdepths of-3.0, -8.45, and -14.7m. The site of theinterchange station of Shanghai metro line No. 1 and No. 3was adjacent to the excavation site. The 12.1mdeepexcavationofthatsitewasconductedusingthebottom-upmethod. A0.8mthickand27.85mdeepdiaphragmwallwas adoptedas the earth-retainingstructure of that site.There were three levels of steel struts to support theexcavation, which were at elevations of -2.83, -6.43, and-9.83m, respectively. Thediaphragmwallsbetweenthetwoexcavationsweresharedbybothexcavations.Theconstructionsequencesofthisexcavationtogetherwith the excavation of the interchange station are asfollows:1. Stage1:excavateto-3.75m2. Stage2:installdiaphragmwallsandpiles3. Stage3: excavatetheadjacent siteoftheinterchangestationtothebottom(-12.1m)andinstallsteelstruts4. Stage 4:constructtheroofslab(B0F)at -3.00mandthenexcavateto-7.50m5. Stage5:excavateto-10.00m6. Stage 6: construct the rst oor slab (B1F) at -8.45mandthenexcavateto-12.00m7. Stage7:excavatetothebottomoftheexcavationandconstructthesecondoorslab(B2F).Toreducethewall deectionduringtheconstruction, theexcavation is carried out in layers and zones and theconcreteoorslabswerealsocastbyzones.ThesequenceofthezonedexcavationisshowninFig. 2.3 Finite-elementmodelingoftheexcavationA3Dnite-element model (1,200m9500m980m)wasestablishedusingthegeneral-purposenonlinearnite-elementanalysisprogramsuiteABAQUS. ThemeshesoftheentiremodelandtheretainingstructuresareshowninFig. 6. The 3Dsolidelements were used for soils. Thecolumns and girders of the structure are simulated bybeamelements. The diaphragmwalls and the concreteoor slabs aremodeledusingshell elements. Theentire3D model consists of 155,306 elements and 178,053nodes. Toreducethecomputationload, all theelementsarelinear-orderelements.Thefoursideboundarysurfacesare xed along the direction perpendicular to each sur-face. Thebottomboundaryis constrainedalongall x, y,andzdirections.The diaphragm walls, the steel columns, the RC piles ofthe foundation, and the oor slabs are modeled as isotropiclinear-elastic materials. The Youngs modulus and thePoissons ratio of the concrete are taken as 30GPa and 0.2,respectively,whilethoseofthesteelaretakenas211GPaand0.3,respectively.Considering the complexity of the 3Dnite-elementmesh, the difculties of numerical modeling and thecomputationtime, itisreasonabletomodel soilaselasticmaterial. Asthesoilsinthesitearegenerallyquaternaryalluvialandmarinesoils,depositedthroughtheprocessofsedimentation followed by consolidation in horizontallayers, theanisotropyof soil propertiesneedstobecon-sideredinthenumericalanalysis. Inthisstudy, twocaseswith different soil stiffness, i.e., one with the isotropicsoil properties andthe other withanisotropic soil prop-erties, are conducted. In the case with anisotropic soilproperties, the soils are assumedtobe cross-anisotropicmaterials with inherent anisotropy. The stress-inducedanisotropyandthechangeofthedegreeofanisotropyduetoexcavation are ignored. For an idealized cross-aniso-tropic elastic material, the stress-strain behavior isgovernedbyveindependent elasticparameters: Eh, Ev,Gvh, mvhand mhh,whereEhandEvaretheYoungsmoduliinthehorizontal andvertical directions, respectively;Gvhis the shear modulus in any vertical plane; mhhis thePoissons ratiofor the effect of horizontal strainonthecomplementaryhorizontal plane; andmvhisthePoissonsratiofor theeffect of vertical strainonhorizontal strain.As the stress path of the soils around an excavationcorresponds approximately to a triaxial extensionFig.5 CrosssectionBBoftheexcavation10 ActaGeotechnica(2009)4:7161 3condition[12],theextensionmoduliofthesoilsshouldbeused in the numerical analysis. Becker [1] summarizedthe undrained anisotropic elastic parameters for variousclays based on experiment results. The ratio of Eh/Evrangesfrom0.5to2.4,andtheratioof Gvh/Evvariesfrom0.23to0.44. Lee [7] suggestedthat the ratioof Gvh/Evshouldbe40-100%of thevalueof G/Eunder isotropiccondition. In this study, the Youngs modulus in thevertical direction, Ev, isassumedtobefour timesof themodulus of compressibility Ec, which was determinedby laboratory oedometer tests. The ratios of Eh/EvandGvh/Evof the soils are assumed to be 0.6 and 0.26,Fig.6 Meshofthe3Dnite-elementmodelActaGeotechnica(2009)4:716 111 3respectively. Table1presents the list of soil parametersadoptedfor thecasewithanisotropicsoil properties. Forthe case with isotropic soil properties, the Youngsmodulus E and the Poissons ratio m are equal to the valuesof EvandmhhinTable1. The effects of theanisotropicsoilstiffnesswillbediscussedinthenextsection.Numerical analysis was performedfollowingthecon-struction sequence of the excavation. The detailedconstructionprocesssuchasinstallationofpilesanddia-phragmwalls, theconstructionof theinterchangestationexcavationandthezonedandlayeredexcavationarealsosimulated. The effects of the adjacent excavation andzoned excavation procedure will be presented and dis-cussedinthenextsection.4 Resultsofnumericalanalysisanddiscussion4.1 EffectsofanisotropicsoilstiffnessFigure7 presents the contours of the wall deections of thediaphragmwallsforthecasewithanisotropicsoilproper-ties. The 3Dbehavior [15] of the diaphragmwalls isillustratedclearlyinthisgraph. Thewall deectionsnearthecornersaremuchsmallerthanthoseofthewallsnearthecenter. Thewall deectionis alsoinuencedbytheshape of the wall. For those panels forming a wall with arcshape, thelateraldisplacementsofthewallsarerelativelysmall.Figure8showsthecalculatedwall deectionsandtheeldmeasurementsatinclinometersI6andI29duringthewhole process of the excavation. The inclinometer I6isclosetotheplannednewtunnelsofmetrolineNo. 1andtheinclinometerI29isadjacent totheexistingmetrolineNo.1. Atstage4,the wallwaspropped by theroofslabattheelevationof -3.00m. Duetotheexcavationof pre-vious stages, the diaphragm wall moved towards theexcavation. With the subsequent excavation, the walldeectioncontinuedtoincrease. At thenal stageof theexcavation, adeep-seateddeectedshapeofthewall wasobserved and the maximum wall deection occurredaround the bottomof the excavation. The ratios of themaximummeasuredwalldeectiontothenalexcavationdepth at the inclinometers I6 and I29 were 0.34 and 0.32%,respectively, whichare withinthe range of the reportedvaluesin[14].AccordingtoFig. 8, thecalculatedwall deectionsofthe anisotropic case agree well withthemeasuredones,whilethecalculatedwall deectionsoftheisotropiccaseare generally smaller than the eld measurements. Thecomputed maximumwall deections for the anisotropiccasewereabout 24.5and37.9%largerthantheisotropiccaseatI6andI29, respectively. Themaximumdifferencebetween the measured and calculated deection for theanisotropic case is about 8%. However, the maximumdifferencebetweenthemeasuredandthecomputedresultsfor the isotropic case is about 30%. Therefore, the soilmodels with anisotropic stiffness can signicantly improveFig.7 Thecontoursofthecalculatedwalldeectionsatstage7forthecasewithanisotropicsoilstiffness(unit:mm)Table1 SoilparametersusedinnumericalanalysisSoillayerno. Soiltype ct(kN/m3) K0Ec(kPa) Eh(MPa) Ev(MPa) Gvh(MPa) mvhmhh Fill 19.1 0.50 5,530 13.27 22.12 6.2 0.33 0.35` Siltyclay 19.5 0.50 3,870 9.28 15.48 4.0 0.29 0.30 Verysoftsiltyclay 17.8 0.55 3,040 7.29 12.16 3.16 0.33 0.35 Verysoftsiltyclay 17.0 0.64 2,090 5 8.36 2.17 0.37 0.422Siltysand 18.5 0.52 13,750 33 55 14.3 0.29 0.304Siltyclay 24.3 0.43 20,250 48.6 81 21.06 0.29 0.301-1Siltysand 19.3 0.43 120 200 520 0.29 0.3012 ActaGeotechnica(2009)4:7161 3the accuracy of the prediction of the wall deection for thesitewithhorizontallydepositedsoils.Figure9illustrates thesoil displacement inhorizontaldirectionatinclinometerIT10.Themaximumvalueoftheobserved horizontal soil movement at IT10 was about18mm, whichis muchsmaller thanthe maximumwalldeection of the inclinometer I29. This shows that theretainingstructureof theexcavationreducedthegroundmovementandthedeformationoftheoperatingtunnelsofmetrolineNo. 1iswell controlled. Thecomputedmaxi-mum ground movement of the anisotropic case is 18.4mm,while the computedmaximumgroundmovement of theisotropiccaseisonly14.7mm. Obviously, thenumericalanalysis with anisotropic soil parameters yields betterestimationofthemaximumlateralgroundmovement.4.2 EffectofadjacentexcavationTheexcavationoftheinterchangestationofMetroLinesNo. 1andNo. 3was locatedbesides this excavationinnortheast side and was excavated to the bottom level beforetheconstructionof theroof slabof this excavation. Thediaphragm walls between the two excavations were shared.Figure10illustrates the3Ddeformationbehavior of thediaphragmwallsaroundtheexcavationoftheinterchangestation. It canbeseenthat thedeections of theshareddiaphragmwalls are smaller than those of other wall-30-25-20-15-10-500IT10Lateral displacement (mm)Depth (mm) Measured Anisotropic Isotropic10 20 30Fig.9 Effect of theanisotropicsoil stiffnessonthecalculatedsoillateraldisplacementatinclinometerIT10Fig.10 Thecontoursof thecalculatedwall deectionsaroundtheexcavation of the interchange station at a stage 3 and bstage 7(unit:mm)-30-25-20-15-10-500 10 20 30 40(Measured Anisotropic Isotropic )Stage 7 Stage 4Lateral displacement (mm)Depth (m)Stage 60 10 20 30 40 0 10 20 30 40I6I6 I6(a)-30-25-20-15-10-500 10 20 30 40Stage 7 Stage 4Lateral displacement (mm)Depth (m)(Measured Anisotropic Isotropic )Stage 60 10 20 30 40 0 10 20 30 40I29I29 I29(b)Fig.8 Effect oftheanisotropicsoil stiffnessonthecalculatedwalldeectionsatainclinometerI6andbinclinometerI29ActaGeotechnica(2009)4:716 131 3sections. This is because the deformation of the sharedwalls is affected by the excavation process on both sides ofthe walls. After the excavation of the interchange station isnished, themaximumdisplacement of thesharewall isabout 30mm. Whenthe excavationof the northsquarestarts, thesharedwall starts tomovetothesideof thatexcavation, andhencethedeectionofthesharedwall isreduced.Figure11 shows the measured and calculated deec-tions of the shared diaphragm wall at the inclinometers I16and I18. In each diagram the wall deection is greater thanzero, it means that the wall moves to the side of theexcavationofthenorthsquare. Ifthelateraldisplacementof thewall isnegative, it meansthat thediaphragmwallmoves towards the site of the interchange station. Thecalculatedwalldefectionsarefor thecasewithanisotropicsoilproperties.Accordingtotheeldmeasurements, after thesiteoftheinterchangestationwasexcavated, thewall graduallymovedtowardsthesideofthat excavation. Whenthesiteof the interchange station was excavated to the bottomlevel, themaximumwall deectionsat inclinometersI16andI18were35.5mmand34.7mm, respectively. Afterthe excavation of the north square started, the shareddiaphragmwallmovedtowardsthesideofthatexcavationand the wall deection was reduced. At stage 7, the-35-30-25-20-15-10-5010Stage 4Lateral displacement (mm)Depth (m)(measured calculated )Interchange station excavation sideStage 3I 16Stage 7 Stage 6(a)-35-30-25-20-15-10-50Stage 4Lateral displacement (mm)Depth (m)(measured calculated )Interchangestation excavationsideStage 3I 18Stage 7 Stage 6(b)0 -10 -20 -30 -40 10 0 -10 -20 -30 -40 10 0 -10 -20 -30 -40 10 0 -10 -20 -30 -4010 0 -10 -20 -30 -40 10 0 -10 -20 -30 -40 10 0 -10 -20 -30 -40 10 0 -10 -20 -30 -40Fig.11 Comparison of the observed and calculated wall deection of the shared diaphragm wall between the excavations at a inclinometer I16andbinclinometerI1814 ActaGeotechnica(2009)4:7161 3maximumdeection at inclinometer I16 and I18 were16.45mmand12.32mm, respectively. Thepoint of themaximumwall deectionmovedupwardsfromaround-14mat stage3to-11mat stage7. However, as indi-catedinFig.11,evenaftertheexcavationwascompleted,the shared wall still deected towards the site of theinterchangestation, especiallythelowerpartofthewalls,which is below the bottomof the excavation of theinterchangestation.As showninFig. 11, thecalculatedresults of the3Dnite-element analysisagreewell withtheeldmeasure-ments except for the nal two stages. For inclinometer I18,theshapeof thecalculatedwall deectionandthemea-suredoneat stage7aredifferent. Thereasonisprobablythatafterthesiteoftheinterchangestationwasexcavatedtothe bottomlevel, the steel struts were demolishedinzones and the concrete slabs were cast subsequently.However, it wouldtakeseveral daysbeforetheconstruc-tionofallconcrete slabswere nishedandthewholeoorslab was formed to support the walls. Therefore, the lateralmovement of the shared diaphragmwalls was mostlyinuencedbytheexcavationofthenorthsquare.Whileinthe3Dnite-elementanalysis ofthisstudy,thesteelstrutsin the interchange station site are kept during the con-struction of the excavation of north square. Thedemolishment of the steel struts and the construction of theconcreteslabof theadjacent interchange stationarenotmodeled as the detailed construction sequence of the site oftheinterchangestationisnotavailable.4.3 EffectofzonedexcavationIn order to investigate the effect of zoned excavation on thewalldeformation,twotypesof3Dnite-elementanalysis,zonedexcavation,andunzonedexcavation,areperformed.Theconstructionsequenceemployedinthestudiesoftheprevioussectionsistermedaszonedexcavation, inwhichthesoilsareexcavatedbyzonesasshowninFig. 2.Inthecaseof unzonedexcavation, thesoilsareremovedintheentireexcavationareaat onceineachstageof theexca-vation. Inbothcases,thesoilpropertiesareanisotropic.Figure12 presents the comparison of the calculated walldeectionsat inclinometer I6for thecasesof zonedandunzoned excavation. As indicated in this gure, zonedexcavationhassignicanteffectonthewalldeection.Atstage 4, the shape of the wall deectionof the case ofunzoned excavation is cantilever-type, which is signi-cantly different fromthe observed shape of the walldeection. It is because in the case of zoned excavation, theroofconcreteslabisconstructedsoonaftertheexcavationineachzoneandthereforetheconcreteslabintheexca-vatedzoneandthesoilsintheunexcavatedzonerestrictthe deformation of the walls. However, in the case ofunzonedexcavation, thesoilsabove-7.0mareremovedallatonceatstage4andthewallsdeectwithoutsupportof theroof concreteslab. After theroof slabis cast, thedisplacement at the top of the wall remains unchanged andthedeectionofthelowerpartofthewallisrestrictedbytheoorslabsduringthesubsequent stageofexcavation.When the excavation is completed, the maximumwalldeectionatinclinometersI6oftheunzonedexcavationis51.5%larger thanthat of thezonedcase. Therefore, thezonedexcavationcangreatlyreducethediaphragmwalldeformation.Ouet al. [15] studiedthe effect of zonedexcavationusingnite-elementanalysis.However, thecomparisonof-30-25-20-15-10-500 20 40 60Stage 7 Stage 4Lateral displacement (mm)Depth (m)(Measured Zoned Unzoned )Stage 60 20 40 60 0 20 40 60I6 I6 I6Fig.12 The effect of zoned excavation on the wall deection atinclinometerI6-30-25-20-15-10-50-4Incremental wall displacement (mm)Depth (m) Zoned Unzoned-2 0 2 4 6Fig.13 Incremental wall deection at inclinometer I6 from stage 6 tostage7ActaGeotechnica(2009)4:716 151 3zoned excavation and unzoned excavation is performedonlyforthenalstage. Therefore, thedifferencebetweenzoneandunzonedexcavationsappearstobeinsignicant.Figure13presents theincremental deectionof thedia-phragmwallatinclinometerI6fromstage6tostage7. Itcanbe seenthat at thenal stage, theincremental walldeection is only slightly affected by the zoned excavation.This observation agrees with the ndings by Ou et al. [15].AccordingtoFig. 12andFig. 13,zonedexcavationattherst excavationstagesignicantlyaffectsthedeformationofthewalls. Whenthedepthoftheexcavationincreases,zonedexcavationhaslesseffect onthedeectionofdia-phragmwalls.5 ConclusionsThispaper presentsa3Dniteelement modelingfor theexcavationofthenorthsquareofShanghaiSouthRailwayStation.Thefollowingconclusionscanbemade:1. Theassumptionofsoil stiffnesshassignicant effecton the wall deformation. The numerical simulationwithanisotropicsoil stiffnessyieldsbetter predictionof the wall deection compared with the case withisotropicsoilstiffness.2. The deformation of the shared diaphragm wallbetween twoexcavations is inuencedby constructionsequenceofbothexcavations.3. For alargeexcavation, zonedexcavationcangreatlyreduce the diaphragmwall deformation. However,onlythezonedexcavationattherstexcavationstageaffects the deformation of the walls signicantly.When the depthof the excavation increases, the zonedexcavation has minor effect on the deformation ofdiaphragmwalls.Acknowledgments This studywas substantiallysupportedbythegrants from the National Natural Science Foundation of China (GrantNo. 50679041) and the Shanghai Municipal Sciences and TechnologyCommittee(GrantNo.04DZ12001).References1. Becker DE(1981) Settlement analysis of intermittently-loadedstructures foundedonclaysub-soils. PhDthesis, UniversityofWesternOntario2. Clough GW, Weber PR and Lamont J (1972) Design andobservation of excavation support systems by iterative design. In:Proc ASCESpec Conf on Perf of Earth and Earth-supportedStructASCE, NewYork, 1:136713903. 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