Abstract
The objective of this study is to investigate ground settlement and horizontal wall deformations of supported excavations constructed in soft soils. For this purpose, a finite element model that considers the stiffness of soils at small strain levels was utilized. With this model, numerous generic cases were analyzed, considering the parameters related with soil, wall, and excavation geometry as well as their variations. The important parameters are selected to be the (i) soil strength, stiffness, unit weight, and thickness of the soft soil layer; (ii) the depth and width of the excavation; and (iii) the stiffness of the support system. The parameters representing the stiffness of the soil at the small strain level were calculated using empirical approaches. Using the multiple regression analyses, a closed form solution which estimates the ground settlements and wall deflections based on these parameters is proposed as a result of this study. In order to investigate the error level of the model, in addition to the error amount of the obtained regression equation, residuals were determined for the parameters and their ranges; moreover, the importance of each parameter on deformations was investigated. It is seen that the most important parameter affecting the behavior of this supporting system is the depth of the excavation. The results obtained from numerical analyses were compared with the real cases. It is seen that the proposed equations can predict the wall deformations and settlements in an acceptable range.
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References
Alpan I (1970) The geotechnical properties of soils. Earth Sci Rev 6:5–49
Atkinson JH (1993) An introduction to the mechanics of soils and foundations: through critical state soil mechanics. McGraw-Hill, London, pp 158–167
Bahadır AA (2022) Parameter-Based Deformation Estimation and Statistical Evaluation of Deep Excavations. Built on Soft Soils. Dissertation, University of Hacettepe. (to be published July 2022)
Benz T (2007) Small-Strain Stiffness of Soils and its Numerical Consequences. Ph.D. dissertation. University Stuttgart, Germany
Benz T, Schwab R, Vermeer P (2009) Small-strain stiffness in geotechnical analyses. Bautechnik 86:16–27
Bhatkar T, Barman D, Mandal A, Usmani A (2017) Prediction of behavior of a deep excavation in soft soil: A case study. IJGE 11:10–19
Bryson LS, Zapata-Medina DG (2012) Method for estimating system stiffness for excavation support walls. J Geotech Geoenviron Eng 138:1104–1115
Burland JB (1989) The ninth Bjerrum Memorial Lecture: ‘Small is beautiful’-the stiffness of soils at small strains. Can Geotech J 26:499–516
Brinkgreve R, Kappert M, Bonnier P (2007) Hysteretic damping in a small-strain stiffness model. In: Pietruszczak S, Pande GN (eds) Numerical models in geomechanics, Proceedings of NUMOG X, Rhodes, Greece. Taylor & Francis Group, London, pp 737–742
Bjerrum L (1972) Embankments on soft ground”. ASCE Conf. on Performance of Earth and Earth-Supported Structures. Purdue Univ 2:1–54
Bjerrum L (1973) Problems of soil mechanics and construction on soft clays. Proc. 8th Int. Conf. on Soil Mech. and Found. Eng., Moscow, 3, 111–159
Bowles JE (1988) Foundation analysis and design, 5th edn. McGraw Hill International Editions, Singapore
Casey B, Germaine JT, Abdulhadi NO, Kontopoulos NS, Jones CA (2016) Undrained Young’s modulus of fine-grained soils. J Geotech Geoenviron Eng 142(2):04015070
Clough GW, O’Rourke TD (1990) Construction induced movements of in situ walls. Proc., Design and Performance of Earth Retaining Structure, Geotechnical Special Publication No. 25, ASCE, New York, pp 439–470
Duncan JM, Chang CY (1970) Nonlinear analysis of stress and strain in soils. J Soil Mech Found Div ASCE 96(5):637–659
Duncan JM, Buchignani AL (1976) An engineering manual for settlement studies. Department of Civil Engineering, University of California, Berkeley, 94 pp
Ding Z, Jin JK, Han TC (2018) Analysis of the zoning excavation monitoring data of a narrow and deep foundation pit in a soft soil area. J Geophys Eng 15(4):1231–1241
El-Kasaby E (1991) Estimation of Guide Values for the Modulus of Elasticity of Soil Bulletin of Faculty of Engineering. Assiut Univ 19:1–7
Finno RJ, Nerby SM (1989) Saturated clay response during braced cut construction. J Geotech Eng 115(8):1065–1084
Finno RJ, Atmatzidis DK, Perkins SB (1989) Observed performance of a deep excavation in clay. J Geotech Eng 115(8):1045–1064
Hardin BO, Drnevich VP (1972) Shear modulus and damping in soils: design equations and curves. J Soil Mech Found Div ASCE 98(SM7):667–691
Hashash YMA, Whittle AJ (1996) Ground movement prediction for deep excavations in soft clay. J Geotech Eng 122(6):474–486
Hsieh PG, Ou CY (1998) Shape of ground surface settlement profiles caused by excavation. Can Geotech J 356:1004–1017
Hsieh Y-M, Dang PH, Lin H-D (2017) How small strain stiffness and yield surface affect undrained excavation predictions. Int J Geomech 17(3):04016071. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000753
Jaky J (1944) The coefficient of earth pressure at rest. J Soc Hungarian Archit Eng Budapest 7:355–358
Jardine RJ, Potts DM, Fourie AB, Burland JB (1986) Studies of the influence of nonlinear stress–strain characteristics in soil–structure interaction. Géotechnique 36(3):377–397. https://doi.org/10.1680/geot.1986.36.3.377
Janbu N (1985) Soil models in offshore engineering. Géotechnique 35(3):239–283
Kempfert HG, Gebreselassie B (2006) Constitutive Soil Models and Soil Parameters, Excavations and Foundations in Soft Soils. Springer, Berlin, pp 57–116
Kung TC (2003) Surface settlement induced by excavation with consideration of small strain behavior of Taipei silty clay. Ph.D. thesis, Dept. of Construction Engineering, National Taiwan Univ. of Science and Technology, Taipei, Taiwan
Kung TC, Ou CY (2006) Prediction of surface settlement caused by excavation. In: Bakker KJ, Broere W, Bezuijen A (eds) Proceedings of the 5th International Symposium TC28 on Geotechnical Aspects of Underground Construction in Soft Ground, Taylor & Francis Group/Balkema, Leiden, pp 853–858
Kung TC, Juang CH, Hsiao CL, Hashash YMA (2007) Simplified model for Wall deflection and ground surface settlement caused by braced excavation in clays. J Geotech Geoenviron Eng 133(6):731–747
Lemos SGFP, Pires PJM (2017) The Undrained Strength of Soft Clays Determined from Unconventional and Conventional Tests. Soils Rocks 40(3):291–301
Likitlersuang S, Surarak C, Wanatowski D, Oh E, Balasubramaniam A (2013) Finite Element Analysis of a Deep Excavation: A Case Study from the Bangkok MRT. Soils Found 53(5):756–773
Long M (2001) Database for retaining wall and ground movements due to deep excavations”. J Geotech Geoenviron Eng 127(3):203–224
Mana AI, Clough GW (1981) Prediction of movements for braced cuts in clay. J Geotech Eng 107(6):759–777
Mesri G, Wang C (2017) Discussion of correlations for undrained shear strength of Finnish soft clays. Can Geotech J 54:745–748. https://doi.org/10.1139/cgj-2016-0686
Montgomery DC, Peck EA, Vining GG (2012) Introduction to Linear Regression Analysis, vol 821. Wiley, Hoboken
Moormann C (2004) Analysis of wall and ground movements due to deep excavations in soft soil based on a new worldwide database. Soils Found 44(1):87–98
Onur Mİ, Umu SU, Okur DV, Tuncan M (2017) An Approach to Determine the Initial Shear Modulus of Clean Sandy Soils. Glob J Res Eng 17(2):31–39
O’Rourke TD (1981) Ground movements caused by braced excavations. J Geotech Eng Div Am Soc Civ Eng 107(9):1159–1178
Ou CY, Heish PG, Chiou DC (1993) Characteristics of ground surface settlement during excavation. Can Geotech J 30(5):758–767
Ou CY, Liao JT, Cheng WL (2000) Building response and ground movements induced by a deep excavation. Géotechnique 50(3):209–220
Peck RB (1969) Deep excavations and tunnelling in soft ground. Proc. 7th Int. Con& Soil Mech., Mexico, State of the art 3, 225-290
Plaxis 2D (2020) Reference Manual, Retrieved from http://www.plaxis.nl/files/files/2D-2-Reference.pdf. Accessed 5 March 2022
Roy D, Singh R (2009) Undrained shear strength gain with consolidation at soft and sensitive soil sites. In: Proceedings of the 17th International Conference on Soil Mechanics and Geotechnical Engineering, Alexandria, Egypt, pp 1534–1537
Simpson B (1993) Development and application of a new soil model for prediction of ground movements. In: Houlsby GT, Schofield AN (eds) Predictive Soil Mechanics, Proc., Wroth Memorial Symp., Thomas Telford, Oxford, pp 628–643
Schanz, T, Vermeer PA, Bonnier PG (1999) The hardening soil model: formulation and verification. In: Beyond 2000 in Computational Geotechnics. pp. 281–296. Balkema, Rotterdam
Strahler AW, Stuedlein AW (2013) Characterization of model uncertainty in immediate settlement calculations for spread footings on clays. In Proc. 18th Int. Conf. Soil Mech Geotech Eng. (pp. 3471–3474)
Stallebrass SE, Taylor RN (1997) The development and evaluation of a constitutive model for the prediction of ground movements in overconsolidation clay. Géotechnique 47(2):235–253
Stroud MA (1974) The standard penetration test in insensitive clays and soft rock. Proceedings of the 1st European Symposium on Penetration Testing, Stockholm, Sweden, vol. 2(2), pp 367–375
Umu SU, Onur MI, Okur V, Tuncan M, Tuncan A (2016) Reliability Evaluation of Dynamic Characteristics of Clean Sand Soils Based on Soft Computing Methods. Arab J Sci Eng 4(41):1363–1373
Varathungarajan DA, Garfield SM, Wright SG (2009) Characterization of undrained shear strength profiles for soft clays at six sites in Texas (No. FHWA/TX-09/0-5824-2). University of Texas at Austin. Center for Transportation Research
Vardanega PJ, Lau BH, Lam SY, Haigh SK, Madabhushi SPG, Bolton MD (2012) Laboratory measurement of strength mobilization in kaolin: Link to stress history. Géotech Lett 2(1):9–15
Wang ZW, Ng CW, Liu GB (2005) Characteristics of wall deflections and ground surface settlements in Shanghai. Can Geotech 42(5):1243–1254
Wang JH, Xu ZH, Wang WD (2010) Wall and ground movements due to deep excavations in Shanghai soft soils. J Geotech Geoenviron Eng 136(7):985e994
Whittle AJ, Hashash YMA, Whitman RV (1993) Analysis of deep excavation in Boston. J Geotech Eng 119(1):69–90
Whittle AJ, Hashash YMA (1994) Soil modeling and prediction of deep excavation behavior. Proc., Int. Symposium on Pre-Failure Deformation Characteristics of Geo-Materials (ISHokkaido’94), Vol. 1, Balkema, Rotterdam, The Netherlands, 589– 595
Wichtmann T, Triantafylidis T (2009) Influence of the grain-size distribution curve of quartz sand on the small-strain shear modulus Gmax. J Geotech Geoenviron Eng ASCE 135(10):1404–1418
Wroth CP, Houlsby GT (1985) Soil mechanics: property characterization & analysis procedures. Proceedings, 11th ICSMFE, Vol. 1, San Francisco, 1–56
Ying HW, Cheng K, Zhang LS, Ou CY, Yang YW (2020) Evaluation of excavation-induced movements through case histories in Hangzhou. Eng Comput 37:1993–2016
Zapata-Medina DG (2007) Semi-empirical method for designing excavation support systems based on deformation control. MSc Thesis, University of Kentucky, Lexington, USA
Zhang WG, Goh ATC, Xuan F (2015) A simple prediction model for wall deflection caused by braced excavation in clays. Comput Geotech 63:67–72
Zhang DM, Xie XC, Li ZL, Zhang J (2020) Simplified analysis method for predicting the influence of deep excavation on existing tunnels. Comput Geotech 121:103477
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This publication is a part of doctoral dissertation work by the first author in the Academic Program of Civil Engineering, Institute of Science, Hacettepe University.
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Bahadır, A.A., Unutmaz, B. Statistical evaluation and simplified approach for estimating excavation induced deformations in soft soils. Arab J Geosci 15, 918 (2022). https://doi.org/10.1007/s12517-022-10127-0
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DOI: https://doi.org/10.1007/s12517-022-10127-0