Abstract
Embedding single-row piles is often adopted to stabilize slopes in engineering practice. However, for large-scale and complex slopes, single-row piles might not be able to stabilize the slope; rather, double-row piles, even multirow piles, should be adopted. Currently, the optimal locations of double-row stabilizing piles considering local instability of the slope have rarely been studied. In this paper, a simplified analytical model used to analyze double-row pile stabilized slopes is proposed, where the local failure of the slope above the first row of piles is considered. Through the kinematic approach of limit analysis combined with the strength reduction technique, the required resistance forces provided by double-row piles respectively are derived for different pile locations denoted by the rotational angle. Moreover, a framework is developed for analyzing the optimal locations of multirow piles considering multistage potential slip surfaces. The results of an illustrative example are presented, and the reasonableness of the proposed method is verified. It is concluded that the optimal locations of double-row piles lie within middle-lower part of the corresponding stabilized part of the slope. Finally, discussion illustrates the influences of the seismic effects and soil shear strength parameters on the derived optimal pile locations. This study provides novel scientific insight into the optimized design of stabilizing pile locations in engineering practice.
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Al-Defa AH, Knappett JA (2014) Centrifuge modeling of the seismic performance of pile-reinforced slopes. Journal of Geotechnical and Geoenvironmental Engineering 140(6):04014014, DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0001105
Ausilio E, Conte E, Dente G (2001) Stability analysis of slopes reinforced with piles. Computers and Geotechnics 28(8):591–611, DOI: https://doi.org/10.1016/s0266-352x(01)00013-1
Bishop AW (1955) The use of slip circle in the stability analysis of earth slopes. Géotechique 5(1):7–17, DOI: https://doi.org/10.1680/geot.1955.5.1.7
Bozhinova-Haapanen A (2016) Stabilizing the landslide on Road E87 Burgas - MalkoTarnovo, Bulgaria. Procedia Engineering 143:650–657, DOI: https://doi.org/10.1016/j.proeng.2016.06.092
Cai F, Ugai K (2000) Numerical analysis of the stability of a slope reinforced with piles. Soils and Foundations 40(1):73–84, DOI: https://doi.org/10.3208/sandf.40.73
Chen WF (1975) Limit analysis and soil plasticity. Elsevier Science Press, Amsterdam, Netherlands, DOI: https://doi.org/10.1016/b978-0-444-41249-2.x5001-x
Chen CY, Martin GR (2002) Soil-structure interaction for landslide stabilizing piles. Computers and Geotechnics 29(5):363–386, DOI: https://doi.org/10.1016/s0266-352x(01)00035-0
Chen LT, Poulos HG (1997) Piles subjected to lateral soil movements. Journal of Geotechnical & Geoenvironmental Engineering 123(9):802–811, DOI: https://doi.org/10.1061/(asce)1090-0241(1997)123:9(802)
Cheng YM, Lansivaara T, Wei WB (2007) Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. Computers and Geotechnics 34(3):137–150, DOI: https://doi.org/10.1016/j.compgeo.2006.10.011
Chow YK (1996) Analysis of piles used for slope stabilization. International Journal for Numerical and Analytical Methods in Geomechanics 20(9):635–646, DOI: 10.1002(sici)1096-9853(199609)20:9<635::aid-nag839>3.3.co;2-o
Dai FC, Lee CF, Ngai YY (2002) Landslide risk assessment and management: An overview. Engineering Geology 64(1):65–87, DOI: https://doi.org/10.1016/s0013-7952(01)00093-x
Duncan JM (1996) Limit equilibrium and finite element analysis of slopes. Journal of Geotechnical Engineering 122(7):577–596, DOI: https://doi.org/10.1061/(asce)0733-9410(1996)122:7(577)
Ellis EA, Durrani IK, Reddish DJ (2010) Numerical modelling of discrete pile rows for slope stability and generic guidance for design. Geotechnique 60(3):185–195, DOI: https://doi.org/10.1680/geot.7.00090
Hajiazizi M, Bavali M, Fakhimi A (2017) Numerical and experimental study of the optimal location of concrete piles in a saturated sandy slope. International Journal of Civil Engineering 16(10):1293–1301, DOI: https://doi.org/10.1007/s40999-017-0155-1
Hassiotis S, Chameau JL, Gunaratne M (1997) Design method for stabilization of slopes with piles. Journal of Geotechnical and Geoenvironmental Engineering 123(4):314–323, DOI: https://doi.org/10.1061/(asce)1090-0241(1997)123:4(314)
He J (2016) An optimized design method of treatment for landslides under stepped overloaded plants. Chinese Journal of Rock Mechanics and Engineering 35(4):837–846, DOI: https://doi.org/10.13722/j.cnki.jrme.2015.0786 (in Chinese)
He Y, Hazarika H, Yasufuku N, Han Z, Li YG (2015) Three-dimensional limit analysis of seismic displacement of slope reinforced with piles. Soil Dynamics and Earthquake Engineering 77:446–452, DOI: https://doi.org/10.1016/j.soildyn.2015.06.015
Itasca (2013) Fast lagrangian analysis of continua, theory and background, factor of safety. Itasca Consulting Group, Inc. Minneapolis, MN, USA, 1–11
Ito T, Matsui T, Hong WP (1981) Design method for stabilizing piles against landslide - One row of piles. Soils & Foundations 21(1):21–37, DOI: https://doi.org/10.3208/sandf1972.21.21
Ito T, Matsui T, Hong WP (1982) Extended design method for multi-row stabilizing piles against landslide. Soils & Foundations 22(1):1–13, DOI: https://doi.org/10.3208/sandf1972.22.1
Jibson RW (2011) Methods for assessing the stability of slopes during earthquakes — A retrospective. Engineering Geology 122(1-2):43–50, DOI: https://doi.org/10.1016/j.enggeo.2010.09.017
Kang GC, Song YS, Kim TH (2009) Behavior and stability of a large-scale cut slope considering reinforcement stages. Landslides 6(3):263–272, DOI: https://doi.org/10.1007/s10346-009-0164-5
Lee CY, Hull TS, Poulos HG (1995) Simplified pile-slope stability analysis. Computers & Geotechnics 17(1):1–16, DOI: https://doi.org/10.1016/0266-352x(95)91300-s
Lei WJ, Zheng YR, Feng XT (2006) Analysis of pile location on landslide control. Rock and Soil Mechanics 27(6):950–954, DOI: https://doi.org/10.3969/j.issn.1000-7598.2006.06.020 (in Chinese)
Li HZ, Feng J, Song XJ (2014) Research of thrust-sharing in multi-row anti-slide piles. Journal of Highway and Transportation Research and Development 31(10):26–31, DOI: https://doi.org/10.3969/j.issn.1002-0268.2014.10.005 (in Chinese)
Li XP, He SM, Luo Y, Wu Y (2011) Numerical studies of the position of piles in slope stabilization. Geomechanics and Geoengineering 6(3):209–215, DOI: https://doi.org/10.1080/17486025.2011.578668
Li XP, He SM, Wang CH (2006) Stability analysis of slopes reinforced with piles using limit analysis method. Geotechnical Special Publication 9(151):105–112, DOI: https://doi.org/10.1061/40863(195)8
Li XP, He SM, Wu Y (2010) Seismic displacement of slopes reinforced with piles. Journal of Geotechnical and Geoenvironmental Engineering 136(6):880–884, DOI: https://doi.org/10.1061/(asce)gt.1943-5606.0000296
Li TB, Liu J, Ren Y, Xue DM, Chen MD (2012a) Sliding mechanism of high-fill slope with pre-reinforced piles at Panzhihua airport. Journal of Engineering Geology 20(5):723–731, DOI: https://doi.org/10.3969/j.issn.1004-9665.2012.05.011 (in Chinese)
Li XP, Pei XJ, Gutierrez M, He SM (2012b) Optimal location of piles in slope stabilization by limit analysis. Acta Geotechnica 7(3):253–259, DOI: https://doi.org/10.1007/s11440-012-0170-y
Li XP, Su LJ, He SM, Xu J (2016) Limit equilibrium analysis of seismic stability of slopes reinforced with a row of piles. International Journal for Numerical and Analytical Methods in Geomechanics 40(8):1241–1250, DOI: https://doi.org/10.1002/nag.2484
Li CD, Tang HM, Hu XL, Wang LQ (2013) Numerical modelling study of the load sharing law of anti-sliding piles based on the soil arching effect for Erliban landslide, China. KSCE Journal of Civil Engineering 17(8):1251–1262, DOI: https://doi.org/10.1007/s12205-013-0074-x
Li CD, Wang XY, Tang HM, Lei GP, Yan JF, Zhang YQ (2017) A preliminary study on the location of the stabilizing piles for colluvial landslides with interbedding hard and soft bedrocks. Engineering Geology 224:15–28, DOI: https://doi.org/10.1016/j.enggeo.2017.04.020
Li CD, Wu JJ, Tang HM, Wang J, Chen F, Liang DM (2015) A novel optimal plane arrangement of stabilizing piles based on soil arching effect and stability limit for 3D colluvial landslides. Engineering Geology 195:236–247, DOI: https://doi.org/10.1016/j.enggeo.2015.06.018
Li CD, Yan JF, Wu JJ, Lei GP, Wang LQ, Zhang YQ (2019) Determination of embedded length of stabilizing piles in colluvial landslides with upper hard and lower weak bedrock based on deformation control principle. Bulletin of Engineering Geology and the Environment 78(2):1–20, DOI: https://doi.org/10.1007/s10064-017-1123-3
Li YX, Yang XL (2019) Seismic displacement of 3D slope reinforced by piles with nonlinear failure criterion. International Journal of Geomechanics 19(6):04019042, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001411
Liu B, Su PD, Qiu P, Li ZB (2016) Numerical simulation of the anti-slide pile overtopping of high slope. Journal of Engineering Geology 24(s1):940–946, DOI: https://doi.org/10.13544/j.cnki.jeg.2016.s1.136 (in Chinese)
Ma N, Wu HG, Ma HM, Wu XY, Wang GH (2019) Examining dynamic soil pressures and the effectiveness of different pile structures inside reinforced slopes using shaking table tests. Soil Dynamics and Earthquake Engineering 116:293–303, DOI: https://doi.org/10.1016/j.soildyn.2018.10.005
Michalowski RL (1995) Slope stability analysis: A kinematical approach. Géotechnique 45(2):283–293, DOI: https://doi.org/10.1680/geot.1995.45.2.283
Nian TK, Chen GQ, Luan MT, Yang Q, Zheng DF (2008) Limit analysis of the stability of slopes reinforced with piles against landslides in nonhomogeneous and anisotropic soils. Canadian Geotechnical Journal 45(8):1092–1103, DOI: https://doi.org/10.1139/t08-042
Nian TK, Jiang JC, Wang FW, Yang Q, Luan MT (2016) Seismic stability analysis of slope reinforced with a row of piles. Soil Dynamics & Earthquake Engineering 84:83–93, DOI: https://doi.org/10.1016/j.soildyn.2016.01.023
Pandit B, Tiwari G, Latha GM, Sivakumar Babu GL (2018) Stability analysis of a large gold mine open-pit slope using advanced probabilistic method. Rock Mechanics and Rock Engineering 51(7):2153–2174, DOI: https://doi.org/10.1007/s00603-018-1465-6
Poulos HG (1995) Design of reinforcing piles to increase slope stability. Canadian Geotechnical Journal 32(5):808–818, DOI: https://doi.org/10.1139/t95-078
Qin CB, Chian SC, Wang CY (2017) Kinematic analysis of pile behavior for improvement of slope stability in fractured and saturated Hoek -Brown rock masses. International Journal for Numerical & Analytical Methods in Geomechanics 41(6):803–827, DOI: https://doi.org/10.1002/nag.2575
Rao PP, Zhao LX, Chen QS, Li L (2017) Limit analysis approach for accessing stability of three-dimensional (3-D) slopes reinforced with piles. Marine Georesources & Geotechnology 35(7):978–985, DOI: https://doi.org/10.1080/1064119x.2016.1273982
Sarma SK (1975) Seismic stability of earth dams and embankments. Géotechnique 25(4):743–761, DOI: https://doi.org/10.1680/geot.1975.25.4.743
Shan ZL (2002) Stability analysis and reinforcement treatments for the No. 6 Landslide on Shangyu-Sanmen expressway. The Chinese Journal of Geological Hazard and Control 13(4):66–72, DOI: https://doi.org/10.3969/j.issn.1003-8035.2002.04.014 (in Chinese)
Shen YJ, Sun HY, Shang YQ, Huang L, Yan KW (2012) Distribution of landslide thrust on cantilever double-row anti-sliding piles. Chinese Journal of Rock Mechanics and Engineering 31(S1):2668–2673, DOI: https://doi.org/10.3969/j.issn.1000-6915.2012.z1.010 (in Chinese)
Song YS, Hong WP, Woo KS (2012) Behavior and analysis of stabilizing piles installed in a cut slope during heavy rainfall. Engineering Geology 129-130(12):56–67, DOI: https://doi.org/10.1016/j.enggeo.2012.01.012
Sun HY, Zhao Y, Shang YQ, Zhong J (2013) Field measurement and failure forecast during the remediation of a failed cut slope. Environmental Earth Sciences 69(7):2179–2187, DOI: https://doi.org/10.1007/s12665-012-2046-8
Tang HM, Hu XL, Xu C, Li CD, Yong R, Wang LQ (2014) A novel approach for determining landslide pushing force based on landslide-pile interactions. Engineering Geology 182:15–24, DOI: https://doi.org/10.1016/j.enggeo.2014.07.024
Tang HM, Wasowski J, Juang CH (2019) Geohazards in the three gorges reservoir area, China - Lessons learned from decades of research. Engineering Geology 261:105267, DOI: https://doi.org/10.1016/j.enggeo.2019.105267
Wang LP, Zhang G (2013) Pile-reinforcement behavior of cohesive soil slopes: Numerical modeling and centrifuge testing. Journal of Applied Mathematics 2013:1–15, DOI: https://doi.org/10.1155/2013/134124
Wang LP, Zhang G (2014) Centrifuge model test study on pile reinforcement behavior of cohesive soil slopes under earthquake conditions. Landslides 11(2):213–223, DOI: https://doi.org/10.1007/s10346-013-0388-2
Wei WB, Cheng YM (2009) Strength reduction analysis for slope reinforced with one row of piles. Computers & Geotechnics 36(7): 1176–1185, DOI: https://doi.org/10.1016/j.compgeo.2009.05.004
Won J, You K, Jeong S, Kim S (2005) Coupled effects in stability analysis of pile-slope systems. Computers & Geotechnics 32(4): 304–315, DOI: https://doi.org/10.1016/j.compgeo.2005.02.006
Wu JJ, Li CD, Liu QT, Fan FS (2017) Optimal isosceles trapezoid cross section of laterally loaded piles based on friction soil arching. Ksce Journal of Civil Engineering 21(2):2655–2664, DOI: https://doi.org/10.1007/s12205-017-1311-5
Xiao JH, Gong WP, Martin II JR, Shen MF, Luo Z (2016) Probabilistic seismic stability analysis of slope at a given site in a specified exposure time. Engineering Geology 212:53–62, DOI: https://doi.org/10.1016/j.enggeo.2016.08.001
Zhang SL, Zhu ZH, Qi SC, Hu YX, Du Q, Zhou JW (2018) Deformation process and mechanism analyses for a planar sliding in the Mayanpo massive bedding rock slope at the Xiangjiaba Hydropower Station. Landslides 15(10):2061–2073, DOI: https://doi.org/10.1007/s10346-018-1041-x
Zheng YR, Chen ZY, Wang GX, Ling TQ (2010) Engineering treatment of slope & landslide, 2nd edition. China Communications Press, Beijing, China, 95–97 (in Chinese)
Acknowledgements
This research is supported by the National Key R&D Program of China (grant nos. 2017YFC1501304 and 2018YFC1507200), the National Natural Science Fund of China (grant nos. 41922055,41931295, 41630643 and 41702294), the Open Fund of State Key Laboratory of Geohazard Prevention and Geoenviroment Protection (grant no. SKLGP2017K017) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (grant no. CUGCJ1701).
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Li, C., Chen, W., Song, Y. et al. Optimal Location of Piles in Stabilizing Slopes Based on a Simplified Double-Row Piles Model. KSCE J Civ Eng 24, 377–389 (2020). https://doi.org/10.1007/s12205-020-0712-z
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DOI: https://doi.org/10.1007/s12205-020-0712-z