piping phenomena at ostrovul corbului dike - yrc 2011

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    SCIENTIFIC JOURNAL OF THE TECHNICAL UNIVERSITY

    OF CIVIL ENGINEERING

    Mathematical Modelling

    in Civil Engineering

    BUCHAREST

    No. 4 -December- 2011

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    CONTENTS

    PREFATA

    HARMONICS ANALYZER IN LABVIEW ......................................................................... 7 

    Florin Daniel Anton, Alexandru Mircea Iatan

    MESH DEPENDENCE STUDY USING LARGE EDDY SIMULATION

    OF A VERY LOW REYNOLDS CROSS-SHAPED JET .................................................. 16 

    Florin Bode, Ilinca Nastase, Cristiana Croitoru

    GEOCOMPOSITE-REINFORCED GRANULAR WORKING PLATFORM -

    IN SITU TESTING ................................................................................................................ 23 

     Natalia Butnarciuc

    IMPROVING ENERGY CONSUMPTION AND INDOOR COMFORT OFAN

    OLD PRIMARY SCHOOL ................................................................................................... 31 

    Tiberiu Catalina

    CONSTITUTIVE LAWS AND NECESSARY GEOTECHNICAL PARAMETERS

    FOR OPTIMUM DESIGN OF DEEP EXCAVATIONS ................................................... 38 

    Cătălin Că praru

    COMPARATIVE STUDY FOR ESTABLISHING THE MOST APROPRIATE

    FOUNDATION SOLUTION FOR LOW, FRAMED BUILDINGS ................................. 46 

    Sorina Constantinescu

    THE INFLUENCE OF THE GEOMETRIC FORM OF THE VIRTUAL THERMAL

    MANIKIN ON CONVECTIVE FLOW ............................................................................... 55 

    Cristiana Croitoru, Ilinca Nastase, Florin Bode

    NONLINEAR MODELLING FEATURES OF REINFORCED CONCRETE SHEAR

    WALLS.................................................................................................................................... 65 

    Ionut Damian

    COMMAND AND CONTROL OF SHAPE MEMORY ALLOYS USED IN

    RETROFITTED BUILDINGS ............................................................................................. 75 

    Radu Calin Donca, Mihai Petru Draghici

    PIPING PHENOMENA AT OSTROVUL CORBULUI DIKE ......................................... 81 

    Daniel Andrei Gaftoi

    THE INTRODUCTION OF GNSS METEOROLOGY IN ROMANIA –MONITORING

    2D&3D WATER VAPOR DISTRIBUTION VIA GNSS ................................................... 88 

    Raluca Ianoschi, Alexandru Lepădatu

    NUMERICAL MODELLING FOR IN-SEWER BED PROFILES .................................. 94 

    Elena Iiatan, Alexandru Iatan

    SEISMIC RESPONSE OF DUAL STEEL ECCENTRICALLY BRACED

    FRAMES WITH REMOVABLE LINKS .......................................................................... 101 

    Adriana Ioan

    BEHAVIOUR OF REINFORCED CONCRETE COLUMNS UNDER NUMERICAL

    VALIDATION OF A FREE-CONVECTIVE CELL SUBJECTED

    TO AN AIR FLOW .............................................................................................................. 111 

    Claudia-Florentina Iorgoiu, R ăzvan-Silviu Ştefan

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    Mathematical Modelling in Civil Engineering, no.4 - 2011 81

    PIPING PHENOMENA AT OSTROVUL CORBULUI DIKE

    DANIEL ANDREI GAFTOI - PhD Student, Technical University of Civil Engineering, Faculty ofHydrotechnics, e-mail: [email protected]

    Abstract: Iron Gates II hydropower plant includes, for the protection of Ostrovul Corbului area,

    an embankment dam founded on highly permeable and easily trained alluvial soils. The initial protection dike project did not supply a cutoff wall and the solution adopted to maintain acertain water level within the enclosure area was to pump the excessive water over the dike andout in the lake. Groundwater movement between the retention arrangement and lower levelscreated by pumped water lead to damages brought to the soil structure. Such a phenomenon isreported near the pumping station, which is emphasized by changes in water levels after thedrainage process. This study aims to identify the potential causes of the piping phenomenawhich have appeared at Ostrovul Corbului dike and the possible remedial solutions using the

    available data and mathematical modeling. To confirm the assumptions regarding the pipingcauses and to establish the appropriate solutions, a transient 2D model was realized using thefinite elements method. Following the mathematical modeling some of the assumptions wereconfirmed and others were determined. To remedy the situation, two complementary solutionshave been proposed: interventions on the pumps in order to be able to adjust the flow and to

    realize a cutoff wall which modifies the flow so that the current lines move away from thesensitive area near the pumping station. 

    Keywords: seepage analysis, finite element method, cutoff wall, embankment dike

    1. Introduction

    An increasing part of the hydro development in the world faces seepage phenomena through

    the embankment or through the foundation. This phenomenon accompanied by hydrodynamic

     picking up of the fine material is threatening dam stability and may cause unforeseen failure.

    The ground conditions and the geological features of the dam site influence greatly the

    amount of seepage and its relevant effects.

    The seepage problem (prevention, determination of the causes and remedial solutions) has

     been the main subject for many researchers in recent years. For example, Uromeihy and

    Barsegari [1] evaluated the seepage problems at the Ghapar-Abad Dam and selected the

     proper method for water-proofing prior to construction, Jin-Yong Lee et al. [2] investigated

    the possible seepage paths and potential damaged areas within the Unmun Dam – a rockfill

    dam with clay core from Korea, Stematiu and Teodorescu [3] studied the causes and proposed

    the remedial solutions for the significant damages that occurred at Bilciuresti Dam, Ping Li et

    al. [4] modeled seepage through fractured rock mass.

    This study aims to identify the potential causes of the piping phenomena that have appeared at

    Ostrovul Corbului dike and the possible remedial solutions using the available data andmathematical modeling.

    2. Site Description

    Iron Gates II hydropower plant includes, on the left side of the Danube, a 7 km long

    embankment dike. The dike was executed by blocking the Old Danube branch at both ends in

    order to protect the Ostrovul Corbului area (fig. 1). It was founded on highly permeable and

    easily trained alluvial soils. The initial project of the dike did not supply a cutoff wall and the

    adopted solution to maintain a certain water level into the protected area was to pump the

    excessive water back into the lake. As part of this solution, the former Old Danube riverbed -

    which drains water from adjacent terraces and from seepage – was designed as a drainage

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    82 Mathematical Modelling in Civil Engineering, no. 4/2011

    channel. A pumping station with 2 high capacity pumps (4 m3/s each) was built for pumping

    the water over the dam.

    Fig. 1 – Plan view of the Ostrovul Corbului dike

    The pumping station was placed on a caisson founded on the bed rock at the base of the

    coarse silt (sand and gravel) at approx. 18 – 20 m depth. The water access from the channel

    into caisson is made through gaps within its wall.

    The ground level for the pumping station area is about 4.00 m below the water level of the

    storage lake (42.00 maSL) and the water level from the drainage channel is 1.00 m below the

    ground level (fig. 2). Pumping water from the canal is intermittent – 2-3 rounds of pumping a

    day. The total duration of a pumping round consists in about 3 – 4 hours during which thewater level from the channel lowers with 2.00 – 2.50 m. The pumping round is followed by a

     break, during which the water level returns to its maximum level.

    Fig. 2 – Plan view of the pumping station area

    Dike

    Drainage

    Channel

    FT and FATest holes

    PumpingStation

    TransformerStation

    Danube

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    Mathematical Modelling in Civil Engineering, no.4 - 2011 83

    The groundwater movement between the retention level and the lower levels created by water

     pumping lead to soil structure damages. Such a phenomenon is reported near the pumping

    station, which is exacerbated by changes in the water level after the drainage procedure.

    Since the summer of 2003 repeatedly ground subsidence was observed near the pumping

    station caisson - transformer station site. In order to bring the land field to its original level,

    the hole was filled repeatedly with selected gravel but this measure has no influence on

    stopping the piping phenomena. The ground subsidence continued over time, so now thetransformer station is affected.

    Because these phenomena can be a real threat to the stability and the functionality of the

    transformer station and the pumping station, including the risk of taking out of service the

     pumping station and flooding of the Ostrovul Corbului area, the causes had to be identified

    and corrective actions had to be established.

    3. Site Geology

    In order to determine the geologic characteristics of the dam site we used the existing

    documentation realized by GEOTEC and INCERC in 1996 – 1997 and 2 new test holes (FTand FA represented in fig. 2). Based on the analysis and interpretation of the information

    obtained from documentary sources and additional drilling, it has been found that:

    -  The route dam foundation soil consists of a discontinuous layer of silty – sandy earth,

    with horizontally passes to silty – sandy clays. The thickness of this layer varies from

    0 to 7-8 m.

    -  The lithological profile at the pumping station site is characterized by the following

    lithological succession: from 0.00 to 3.30 m there is a layer of gravel and sand filling,

    followed by a layer of gray silty sand to a depth of 10.20 m. Next, to a depth of 18.10

    m only coarse sediments - gravel with boulders and gray-brown sand was found. Note

    that this lithology corresponds to studies performed during the 1996 – 1997 period.

    -  The FT drilling positioned next to the transformer station is characterized by a layer

    made of heterogeneous fillers (compensation settlements) followed by purple

    micaceous sands and gravel with boulders. Lithological profile of the FA drilling

     positioned near the antenna is characterized by a filling layer made of sand with

    gravel. The lack of the “sand” fraction in the FT drilling highlights the hydrodynamic

    effect involvement in this area with large gradients.

    -  The size analysis (fig. 3) showed that the silty sand present in the range of depth from

    3.30 m to 10.20 m (noted with I in the figure) is characterized by a coefficient of

    uniformity Un = 20 - 25 and for the coarse silt layer (depth interval from 10.20 to

    18.10 m), noted with II and III in the picture, the coefficient of uniformity is Un = 50 -

    150. According to the value of the coefficient of uniformity, the sands from the dam

    foundation are classified as irregular.

    -  Hydro geological investigations carried out have shown that the values of the

     permeability coefficient are high and very high, reaching hundreds of m/day and at the

     pumping station site varies between 71 m/day and 982 m/day.

    -  According to the values of the coefficient of uniformity (Un = 20 - 150), based on the

    ISTOMINA diagram (fig. 4), it results that the critic gradient for the sands from dam

    foundation is greater than 0.18 – 0.30.

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    84 Mathematical Modelling in Civil Engineering, no. 4/2011

    Fig. 3 – Size analysis for the silty sand and for the coarse silt layer

    Fig. 4 – ISTOMINA diagram

    4. Causes of Piping Phenomena

    4.1. Considered Assumptions

    Based on the existing data, it is estimated that the piping phenomena of the sand from the

     pumping station area has the following causes:

    -  Dam foundation soil that up to 18-20 m depth is composed of irregular sand and gravel,

    unstable in terms of hydrodynamic picking up,

    -  Pumping station caisson which represents an obstacle in the flow net of the groundwater

    flow from the dam to the drainage channel. This is materialized through the diversion andconcentration of flow lines to the sides of the pumping station caisson,

    -  Water pumping from the drainage channel into the storage lake takes place as a transient

    flow with 2 high capacity pumps so there is no correlation between the pumped flow and

    the water level from the channel, which favors hydrodynamic picking up.

    4.2. Mathematical Model

    To confirm the assumptions on the causes of the phenomenon, a transient 2D horizontal

    model was realized using the finite element method. The meshed region includes a large zone

    in order not to influence the results by domain limit boundary conditions. The mesh is finer in

    the pumping station area and near its surroundings in order to have better results in the

    interested area (fig. 5).

    Coefficient of uniformity ( Un)

    Safe zone

    Dangerous zonefor piping

       H  y   d  r  a  u   l   i  c  g  r  a   d   i  e  n   t   (   i

       )

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    Mathematical Modelling in Civil Engineering, no.4 - 2011 85

    Fig 5 – Finite element model

    The model was realized with Seep/w and the mesh had 2707 elements. The transmissivity

    coefficient adopted for the permeability zone was 1200 m2/day, which means a permeability

    coefficient equal to 0.0016 m/sec and a saturated volume water content of 20%.

    4.3. Simulation to Verify the Assumption

    To highlight the increase in hydraulic gradients induced by pumping, first the situation before

    the pumps were starting was modeled – high water level in drainage channel, and then the

    situation after the pumping round was modeled – low water level in drainage channel. The

    initial head boundary conditions adopted were:

    -  H = 42.00 maSL in the storage lake;

    -  H = 37.00 maSL in the drainage channel.

    Fig 6 and fig 7 illustrate the lines of constant head (left side), the hydraulic gradients and the

    flow vectors (right side) for the analyzed situations. It has been discovered that geometrical

    features of the drainage channel cause concentrations of large gradients when seepage water

    exits within the channel. The barrier created by the pumping station caisson has a second role.These results explain why the ground subsidence appeared close to the transformer station and

    near the end of the drainage channel.

    Fig. 6 – Model results before pumping round (37.00 maSL - channel water level)

    Fig. 7 – Model results after a pumping round (35.00 maSL - channel water level)

    SP

                                                        3                                                      7

        3    7

     .    5 

       3   8

     

     3 8.  5 

     3 9 

    SP

                    0

      .               0               6

     0 .0 6  

     0. 0 8 

    0.08 

      0.  1     0

     .   1 

    0 .12  

       0 .  1   8

     

    SP

                                                        3                                                      5  

          3       5

     .       5 

       3   6

     

      3  6.  5 

     3  7 

     3 7. 5 

     3 8 

    SP

                                                  0

          .                                             0                                             8

     

      0.  1 

      0 .  1 

    0 .12  

       0 .   1   2

     

                      0   .                  1

                      4

     

    0.14 

    0 .1 8  

        0 .    2    6

     

    Drainage

    Channel

    Danube

    Pumping station

    area

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    86 Mathematical Modelling in Civil Engineering, no. 4/2011

    5. Corrective Surgery

    Two types of interventions have been proposed as corrective surgery:

    -  Changes to the pumps so as to create the possibility of adjusting the flow in order to limit

    the water level offset into the channel and the lowering speed of the water.

    -  Create a sheet pile cutoff wall on an alignment parallel to the canal bank and then rotated

    to the limit of the drainage channel, behind the pumping station, in order to create a

    hydraulic barrier to reduce the flow gradients below the critical values.

    The effect of changing the pumping regime was highlighted by analyzing a transient model –

    controlled pumping, which leads to lowering water levels from the drainage channel from

    37.00 maSL to 36.00 maSL in 3 hours. After analyzing the results, it was found that this

    intervention by itself does not change the seepage regime. The difference between the actual

     pumping regime and the proposed one is insignificant – the value of the hydraulic gradient

    decreases from 0.26 to 0.22 but the risk of hydrodynamic picking up still remains.

    The cutoff wall leads to radical changes within the infiltration flow net. First we determine the

    effect of the cutoff wall in case the current pumping scheme remains unchanged and fig. 8

    represents the constant head lines (left side), the hydraulic gradients and the flow vectors(right side) for this analysis. It is noticed that the values of the hydraulic gradient are a lot

    smaller than the actual conditions - without the cutoff wall. At the end of the pumping

     process, the hydraulic gradient in the critical area is 0.15, about half that of current situation.

    Certain levels of concentration of gradient lines appear at the extremities of the cutoff wall but

    they are not dangerous since the flow path to the drainage channel is long and the gradients

    decrease significantly. In the second phase we determine the combined effect of the

    installation of the cutoff wall and the change of pumping regime (lowering the water level

    from the drainage channel from 37.00 maSL to 36.00 maSL in 3 hours). In fig. 9 we present

    the same representations for this analysis as in previous cases and it can be observed that this

    corrective measure leads to stopping the hydrodynamic picking up. The maximum value for

    the gradient is 0.1, providing a safety factor of about 1.8 to the critical hydraulic gradient.

    Fig. 8 – The effect of the cutoff wall without changing the pumping regime

    Fig. 9 – The combined effect of the cutoff wall and the change of pumping regime

    SP

     3                              5                               

      3  5 

              3          5

      .          5 

      3  5.  5 

       3   6

     

       3   6 

      3  6.  5 

        3    6

     .    5 

     3 7 

        3    7 

     3 7. 5 

     3 8 

    SP  0  .0  5   

    0   . 0   5    

       0 .   1

     

             0  .         1

     

     0. 1 5 

      0. 1  5 

     0. 1 5 

    SP

     3                      6                      .   5                       

     3 6. 5 

         3      7

     

     3  7 

      3  7.  5 

      3  7.  5

     

     3 8 

      3  8 

     3 8. 5 

     3 9 

    SP 0   . 0   5    

    0   . 0   5    

        0 .    1

      0. 1 

       0 .  1

     

    0.15 

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    Mathematical Modelling in Civil Engineering, no.4 - 2011 87

    6. Conclusions

    This paper aims to identify the causes of the subsidence phenomena observed near the

    transformer station of the Ostrovul Corbului drain system and to define the remedial solution.

    From the available hydrogeological and geological studies it appears that the coarse silt presented

    in the dam foundation is characterized by high and very high values for the permeability

    coefficient, reaching hundreds of m/day. According the values of the coefficient of uniformityresults that the critic gradient for the sands from the dam foundation is 0.18 – 0.30.

    The analysis on the mathematical model showed that hydrodynamic picking up of the sand

    from the dam foundation has 4 principal causes:

    -  the configuration of the terminal area of the drainage channel which ends close to the

    transformer station and forms a concentration area of flow lines and gradients;

    -  the presence of the caisson which represents a barrier for the groundwater movement;

    -  the presence of easily trained alluvial soils;

    the pumping regime characterized by an important oscillation of the channel waterlevel (2.00 – 2.50 m) in a very short time (3 hours) which favors the hydrodynamic

     picking up of the dam foundation materials.

    To control the seepage phenomena, which may jeopardize the integrity of the pumping

    station, are proposed : the development of a sheet pile cutoff wall on an alignment parallel to

    the canal bank and then rotated to the limit of the drainage channel, behind the pumping

    station, in order to create a hydraulic barrier to reduce the flow gradients below the critical

    values and changes to the pumps so as to create the possibility of adjusting the flow in order

    to limit the water level offset into the channel and to lower the speed of the water.

    A numerical simulation on a 2D horizontal model showed that the cutoff wall has the

    maximum effect in stopping hydrodynamic picking up of the sand from the foundation. Thecombined solution – installation of the cutoff wall and change of pumping regime – is

    recommended.

    Acknowledgements

    Thanks are expressed to the Institute of Hydroelectric Studies and Design for the opportunity

     provided to the author to work on this project.

    References

    [1] 

    Uromeihy, A., Barzegari, G. – Evaluation and treatment of seepage problems at Chapar-Abad Dam, Iran,Science Direct, in Engineering Geology, No 91, 2007, pp. 219-228[2]  Jin-Yong, L., Hyoung-Soo, K., Yea-Kwon, C., Jeong-Woo, K., Jeong-Yong, C., Myeong-Jae, Y. –

    Sequential tracer tests for determining water seepage paths in a large rockfill dam, Nakdong River basin,Korea, Science Direct, in Engineering Geology, No. 89, 2007, pp. 300-315

    [3]  Stematiu, D., Teodorescu, D. – The damage of Bilciuresti diversion dam, in Hidrotehnica, Vol 51, 2006, pp.

    12 - 22[4]  Ping, L., Wenxi, L., Yuqiao, L., Zhongping, Y., Jun, L. – Seepage analysis in a fractured rock mass: The

    upper reservoir of Pushihe pumped-storage power station in China, Science Direct, in Engineering Geology, No 97, 2008, pp. 53-62

    [5]  Krahn, J. – Seepage modeling with SEEP/W, User Guide, 2004