Mechanical and Hydraulic Behavior of Cut Off-Core Connecting Systems in Earth Dams
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Mechanical and Hydraulic Behavior of Cut off-Core Connecting Systems in Earth Dams Zakaria Zoorasna Graduate Student Faculty of Engineering, Tarbiat Moallem University, Tehran, Iran [email protected] Amir Hamidi Assistant Professor Faculty of Engineering, Tarbiat Moallem University, Tehran, Iran [email protected] Ali Ghanbari Assistant Professor Faculty of Engineering, Tarbiat Moallem University, Tehran, Iran [email protected] ABSTRACT Seepage through foundation of earth dams can be controlled using concrete cut off walls. The increase in hydraulic gradients in connecting zone of cut off wall and core usually results in erosion and water leakage. Also the difference between stiffness of clayey core and concrete cut off wall results in stress concentration and increase in deformations in connecting zone. As a result, connecting systems are usually used between cut off wall and core to reduce the hydraulic gradients and stress concentration. In the present research, Karkheh storage dam in Iran is considered as the case study. Seepage and stress-strain analysis are conducted to investigate the effect of different connection systems on the maximum gradient and stress concentration in connecting zone. In this regard, the most appropriate systems with the most effective characteristics and suitability in construction are recommended. KEYWORDS: Cut off wall; connecting system, hydraulic gradient, stress-strain distribution, Karkheh storage dam. INTRODUCTION Seepage can be controlled in foundation of earth dams using different methods. To select an under seepage control method for a particular dam and foundation, the relative merits and efficiency of different methods should be evaluated (U.S. Army Corps of Engineers, 2004). Concrete cut off walls are one of main methods of seepage control and are divided to the following categories according to the material type used in construction: • Slurry trench cut off wall Vol. 13, Bund. K 2 • Bentonite-cement cut off wall • Concrete cut off wall • Plastic concrete cut off wall The plastic concrete is an appropriate kind of material due to its high deformability (ICOLD, 1985). The cut off wall construction causes an increase in hydraulic head at the upstream and a reduction in downstream part of foundation. As a result, the maximum gradient happens in connection zone of the cut off wall and core (Shahbazian Ahari et al., 2000). The maximum gradient should be less than an allowable limit. Also the difference between stiffness of cut off wall and core results in some stress concentration in connection zone. Connecting systems should be designed to reduce stress concentration and hydraulic gradients in connection zone. This may be achieved by different details for connecting system. Six common details for this goal are as follows and their characteristics are shown in Fig. 1: - Penetration of the cut off into the core - Thick concrete slab at the base level of the core - Combination of cut off penetration into the core and the concrete slab - Compaction grouting around the connection zone in foundation - Clayey soil and a concrete cap over it - Clayey trench In the present study, seepage and stress-strain analysis are used to investigate the effect of different connecting systems on maximum hydraulic gradient and stress-strain distribution in cut off-core connection zone of Karkheh storage dam. System 1: Penetration of the cut System 2: Thick concrete slab at off wall into the core the base level of the core System 3: Combination of cut System 4: Compaction grouting off penetration into the core and around the connection zone in the concrete slab foundation System 5: Clayey soil and a System 6: Clayey trench concrete cap over it Figure 1: Details of different connecting systems Vol. 13, Bund. K 3 CASE STUDY Karkheh storage dam is among the largest dams, in terms of reservoir and volume of fill placed, constructed in Iran. It is a central core, zoned embankment dam, 127 meters high, 3030 meters long, with an embankment volume of 32 million cubic meters. The dam crest is located in +234 MSL and the minimum level of the foundation is +106 MSL. Normal water level is in +220 MSL and reservoir has 5572 million m3 volume at the maximum level (Karkheh dam section engineers, 1998). Foundation of this large earth dam consists of alternative layers of conglomerate and mudstone, in which the conglomerated layers have much more impermeability, resistance and elastic modulus than the mudstone layers. Figure 2 depicts the cross section of the dam, its foundation and cut off wall. Specification of materials used in dam construction are also shown in Table 1. The figure indicates that cut off wall is used in this dam for the control of seepage. Depth of wall is determined based on seepage analysis done in different stages and economical factors. Also the thickness of wall is determined based on allowable hydraulic gradient, hydraulic fracturing pressure, and the drilling facilities. The depth of wall in deepest section is about 80 meters while the average of depth is about 50 meters. With a length of 3030 m, it was vertically built in dam foundation along the dam axis. Thickness of the wall is 1 meter at the valley and in the right abutment. At some location of the left abutment, the thickness of the wall is chosen to be 0.8 meter (Shadravan et al., 2004 and Karkheh dam section engineers, 1998). 1. Impervious core (mudstone mixed with sandy gravel) 8. U/S slope protection using soil cement 1A. Impervious core (mudstone) 9. Plastic concrete cut off wall 2. Sandy gravel 10. Pre-coffer dam 3. Conglomerate or sandy gravel 11. Main cofferdam 4. Sand filter 12. Mudstone No. (-1) 5. Gravel filter and drain 13. Mudstone No. (-2) 6. Sand-gravel filter 14. Conglomerate 7. U/S slope protection using limestone riprap 15. Inspection gallery Figure 2: Cross section of Karkheh storage dam (Karkheh dam section engineers, 1995) Vol. 13, Bund. K 4 SEEPAGE ANALYSIS Seepage analysis of dams has been done by different numerical methods in literature (Li and Ming, 2004; Ghobadi et al., 2005 and Lee et al., 2005). In this paper, dam, foundation and different seepage control systems of Karkheh dam were modeled using GMS software in the largest section for seepage analysis (Zoorasna et al., 2008). In this section, the cut off wall continues 25.5 meters below the core and fixed in a mudstone layer. Figure 3 shows the finite element mesh used in seepage analysis. The soil anisotropy is modeled using different permeability coefficients in horizontal and vertical directions. The total flow and the maximum hydraulic gradient were determined in connection zone of cut off wall-core connecting systems. Table 1: Specifications of different parts of the dam (Karkheh dam section engineers, 1998) Cut off Mudstone Conglomerate Conglomerate Conglomerate Parameters Shell Core Filter wall layers layer (1) layer (2) layer (3) Dry unit weight 20 17.4 19 21 19.5 21 21 21 (kN/m3) Saturated unit weight 22 20.2 20 22 21 23 23 23 (kN/m3) Permeability coefficient 10-4 5×10-7 10-3 1×10-7 5×10-8 4.5×10-2 1.1×10-3 6.1×10-4 (cm/s) Elastic modulus 11 3.5 7 400 12 80 100 100 (kN/m2)×104 Poisson's ratio 0.25 0.35 0.27 0.25 0.3 0.25 0.25 0.25 Undrained cohesion - 70 - 800 - - - - (kN/m2) Drained cohesion 0 30 0 700 70 85 85 85 (kN/m2) Undrained friction - 6 - 28 - - - - angle (degree) Drained friction 39 20 35 33 22 39.4 39.4 39.4 angle (degree) Dilation angle 10 2 8 10 5 10 10 10 (degree) Figure 3: Finite element mesh generated for seepage analysis Vol. 13, Bund. K 5 The effect of main characteristics of each connecting system which was previously shown in Fig. 1 is investigated on total flow or maximum hydraulic gradients. A summary of the results is presented in the following sections. Connection system 1 In this case, the cut off wall simply penetrates into the core without any interface material. The length of penetration which was previously defined as "h" in Fig. 1 is the main variable for this connecting system. The effect of penetrating length on total flow is shown in Fig. 4 for different cut off wall permeability values. In this figure "H" is the total length of the cut off wall. For cut off wall permeability values less than that of the core, the total flow decreases when the penetrating length of cut off wall increases. While, there is an increasing trend in total flow for permeability values more than that of the core. 2 Penetration of the cut off wall into the dam core, b=1.0 (m) 1.5 1 K cut off wall=10^-6 (cm/s) K cut off wall=10^-7 (cm/s) Q[(m3/day)/m] K cut off wall=10^-8 (cm/s) 0.5 0 0 (1/30) (1/15) (1/10) (1/9) (1/8) (1/7) (1/6) (1/5) h/H Figure 4: Effect of cut off wall permeability and penetration length on total flow (Detail No. 1) Connection system 2 For this detail, a concrete slab is placed at the base level of the core over the foundation. The cut off wall moves through this slab but does not penetrate into the core. This was previously indicated in Fig. 1. The effect of slab length (B) and slab thickness (t) on total flow is shown in Fig. 5. As the figure illustrates, total flow increases with the increase in slab length or thickness. 1 Thick concrete slab at the base level of the core, k=1×10-7(cm/s) 0.8 0.6 0.4 Q[(m3/day)/m] t=1.0m 0.2 t=1.5m t=2.0m 0 4 6 8 101214161820 B(m) Figure 5: Effect of slab length and thickness on total flow (Detail No.