Effective stress law for rock masses and its application in impoundment analysis based on deformation reinforcement theory

Li Cheng , Yao-ru Liu , Yuan-wei Pan , Qiang Yang , Zheng Lv

Journal of Central South University ›› 2018, Vol. 25 ›› Issue (1) : 218 -229.

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Journal of Central South University ›› 2018, Vol. 25 ›› Issue (1) : 218 -229. DOI: 10.1007/s11771-018-3731-x
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Effective stress law for rock masses and its application in impoundment analysis based on deformation reinforcement theory

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Abstract

Reservoir impoundment is related to several hydraulic engineering concerns, including irreversible valley contractions, landslides and reservoir-induced earthquakes. However, these phenomena, such as valley contractions, are hardly to be explained by the conventional method. The scientific understanding of water effects during impoundment and their hazards to hydraulic structure are needed. The effective stress law for fissured rock masses is introduced in the elasto-plastic model employing the Drucker-Prager criterion and implemented in the three dimension (3D) nonlinear finite element method (FEM) program Three-dimensional FINite Element (TFINE). The slope deforms towards river-way during impoundment since the increasing pore pressure in fissures changes stress state and leads to additional plastic deformation in the rock materials. The value of Biot coefficient and the influence of water on rock materials are discussed in detail. Thus, the mechanism of slope deformation during the impoundment of Jinping-I arch dam is revealed, and the deformation is accurately measured. The application of the effective stress law provides a method to consider stress assessment, deformation evaluation and stability estimate of hydraulic structures during the impoundment process. This is a beneficial exploration and an improvement of hydraulic engineering design.

Keywords

effective stress law / elasto-plastic FEM model / Biot coefficient / impoundment / valley contractions

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Li Cheng, Yao-ru Liu, Yuan-wei Pan, Qiang Yang, Zheng Lv. Effective stress law for rock masses and its application in impoundment analysis based on deformation reinforcement theory. Journal of Central South University, 2018, 25(1): 218-229 DOI:10.1007/s11771-018-3731-x

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References

[1]

GudehusGFinite elements in geomechanics [M], 1977, London, John Wiley: 395399

[2]

GuptaH K. A review of recent studies of triggered earthquakes by artificial water reservoirs with special emphasis on earthquakes in Koyna, India [J]. Earth-Science Reviews, 2002, 58(3): 279-310

[3]

LadeP V, de BoerR. The concept of effective stress for soil, concrete and rock [J]. Geotechnique, 1997, 47(1): 61-78

[4]

de BuhanP, DormieuxL. On the validity of the effective stress concept for assessing the strength of saturated porous materials: a homogenization approach [J]. Journal of the Mechanics and Physics of Solids, 1996, 44(10): 1649-1667

[5]

GenevoisR, GhirottiM. The 1963 vaiont landslide [J]. Giornale di Geologia Applicata, 2005, 1(1): 41-52

[6]

MüllerL. New considerations on the Vaiont slide [J]. Rock Mechanics & Engineering Geology, 1968, 6(12): 4-91

[7]

TezukaM, KataokaK, ShigemitsuY. Long-term behavior of Kurobe dam and its foundation rock [C]. Transactions of the International Congress on Large Dams., 2000, 3: 1337-1362

[8]

YangJ, HuD-x, GuanW-hai. Analysis of high slope rock deformation and safety performance for left bank of Lijiaxia arch dam [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(19): 3551-3560

[9]

YangH, TuX-y, XiZ-yong. Analysis on crack monitoring and control measures of Ertan high arch dam [J]. Pearl River, 2010, 31(6): 66-69

[10]

YangH, DongY-jun. Analysis on monitoring data of Jinping-I hydropower dam during first impoundment [J]. Dam and Safety, 2015, 3: 34-40

[11]

ZhangC, YinH-an. Monitoring and back analysis of Xiluodu high arch dam during initial impoundment [J]. Design of Hydroelectric Power Station, 2014, 30(2): 7-12

[12]

ZangerlC, EberhardtE, PerzlmaierS. Kinematic behaviour and velocity characteristics of a complex deep-seated crystalline rockslide system in relation to its interaction with a dam reservoir [J]. Engineering Geology, 2010, 112(1): 53-67

[13]

WangJ, XiangW, LuN. Landsliding triggered by reservoir operation: A general conceptual model with a case study at Three Gorges Reservoir [J]. Acta Geotechnica, 2014, 9(5): 771-788

[14]

TerzaghiK. Die berechnung der durchlassigkeitsziffer des tones aus dem verlauf der hydrodynamischen spannungserscheinungen [J]. Sitzungsberichte der Akademie der Wissenschaften in Wien, Mathematisch- Naturwissenschaftliche Klasse, Abteilung IIa, 1923, 132: 125-138

[15]

BiotM A. Theory of elasticity and consolidation for a porous anisotropic solid [J]. Journal of Applied Physics, 1955, 26(2): 182-185

[16]

GeertsmaJ. The effect of fluid pressure decline on volumetric changes of porous rocks [J]. Petroleum Transactions, AIME, 1957, 210(3): 331-340

[17]

SkemptonA W. Effective stress in soils, concrete and rocks [C]. Selected papers on Soil Mechanics, 1984, London, Ice Publishing: 106118

[18]

NurA, ByerleeJ D. An exact effective stress law for elastic deformation of rock with fluids [J]. Journal of Geophysical Research, 1971, 76(26): 6414-6419

[19]

PrasadM, ManghnaniM H. Effects of pore and differential pressure on compressional wave velocity and quality factor in Berea and Michigan sandstones [J]. Geophysics, 1997, 62(4): 1163-1176

[20]

GaratJ, KriefM, StellingwerfJ. A petrophysical interpretation using the velocities of P and S waves (full-waveform sonic) [J]. The Log Analyst, 1990, 31(6): 355-369

[21]

SukljeLRheological aspects of soil mechanics [M], 1969, London, Wiley-Interscience

[22]

ChenM, ChenZ-da. Effective stress laws for multi-porosity media [J]. Applied Mathematics and Mechanics, 1999, 20(11): 1121-1127

[23]

WallsJ, NurA. Pore pressure and confining pressure dependence of permeability in sandstone [C]. Transactions of the 7th Formation Evaluation Symposium, 197918

[24]

WalshJ B. Effect of pore pressure and confining pressure on fracture permeability [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Pergamon, 1981, 18(5): 429-435

[25]

ChristensenN I, WangH F. The influence of pore pressure and confining pressure on dynamic elastic properties of Berea sandstone [J]. Geophysics, 1985, 50(2): 207-213

[26]

BernabeY. The effective pressure law for permeability in Chelmsford granite and Barre granite [J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1986, 23(3): 267-275

[27]

EllsworthW L. Injection-induced earthquakes [J]. Science, 2013, 341: 1225942

[28]

TerzaghiK V. Simple tests determine hydrostatic uplift [J]. Engineering News Record, 1936, 116(25): 872-875

[29]

TizdelR R. Deformation of rock foundations of high dams after filling the reservoirs [J]. Hydrotechnical Construction, 1970, 4512-519

[30]

XieS Y, ShaoJ F. Elastoplastic deformation of a porous rock and water interaction [J]. International Journal of Plasticity, 2006, 22(12): 2195-2225

[31]

GursonA L. Continuum theory of ductile rupture by void nucleation and growth: Part I—Yield criteria and flow rules for porous ductile media [J]. Journal of Engineering Materials and Technology, 1977, 99(1): 2-15

[32]

YangQ, ChenX, ZhouW-yuan. A practical 3D elasto-plastic incremental method in FEM based on D-P yield criteria [J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 16-20

[33]

LiuY-r, WuZ-s, ChangQ. Stability and reinforcement analysis of rock slope based on elasto-plastic finite element method [J]. Journal of Central South University, 2015, 22: 2739-2751

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