2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) Studying the Effect of Geometry and Type of Soil on the Stability of Clover -Leaf Cofferdam Dr. Raad Hoobi Irzooki, and Marwa Kaddori Majeed The resisting forces and moments against the sliding and overturning vary in magnitude from soil to soil depending on the unit weight, the coefficient of friction of the soil, Young’s Modulus of elasticity, poison’s ratio, and cohesion [1]. Cellular cofferdams are usually classified according to the configuration and arrangements of the cells. As shown in Fig. 1, the three basic types of cellular cofferdams are: Abstract- The stability of glover leaf coffer dam in two soil cases (dry and wet) and two positions (neutral and longitudinal), with nonlinear finite element analysis has been used in this study to predict the load deflection behavior of cellular cell cofferdam under lateral load. Series of laboratory tests have been carried out on one (single) glover-leaf cofferdam cells of different width to height ratio (b/H) (0.75, 0.85, 1.0) with three types of soil fill (sand passing sieve No.4, river sand, subbase). In finite element analysis, AN SYS(version 12.1) computer program with combination of CivilFEM was used, eight-node solid element SOLID 45 has been used to model filling with river sand soil and the same element for steel sheet pile and foundation, by using glue technique to model of steel sheet pile of cofferdam, the load applied on the one third of the cell cofferdam height and full Newton-Raphson method is used for the nonlinear solution algorithm and the results are compared with experimental data. The results expressed that the cells fill with wet subbase were more stable against sliding and overturning at different (b/H) ratio and the cells that put on the longitudinal direction was more stable against sliding and overturning at different (b/H) ratio than the cells with neutral direction. Also, the results obtained using the finite element models show a good agreement with the experimental data. The difference between the numerical ultimate loads and the corresponding experimental ultimate loads is in the range between (0-6.9)%. A. Circular Cells This type consists of a series of complete circular cells connected by shorter arcs; these generally intercept the cells at a point making an angle, (α), of 30 or 45 degrees with the longitudinal axis of the cofferdam, as shown in Fig. 1-a. B. Diaphragm Cells These cells are comprised of a series of circular arcs connected by 120 degree intersection pieces or cross walls (diaphragm). The radius of the arc is often made equal to the cell width so that these have equal tension in the arc and the diaphragm, as shown in Fig. 1-b. C. Cloverleaf Cells This type of cell consists of four arc walls, within each of the four quadrants, formed by two straight diaphragm walls normal to each other, and intersecting at the center of the cell. Adjacent cells are connected by short arc walls and are proportioned so that the intersection of arcs and diaphragms can form three angles of 120 degrees, as shown in Fig. 1-c. Index Terms— ANN, ANSYS, Glover-leaf cofferdam, Stability. I. INTRODUCTION Cellular cofferdams are constructed of steel sheet piling and used primarily as water-retaining structures. They depend for stability on the interaction of the soil used to fill the cells of these cofferdams and the steel sheet piling. Both materials in combination provide a satisfactory means to develop a dry work area in water-covered sites such as ocean or lakefront or river area construction projects. The purpose of the cofferdam is to retain a hydrostatic head of water as well as the dynamic forces due to currents and waves, ice forces, seismic loads and accidental loads or to provide a lateral support to the mass of soil behind it. However, the cofferdam is subjected to unbalanced lateral forces acting at different heights. These unbalanced forces will tend to produce a resultant moment which tends to overturn the cofferdam or to produce a resultant force which tends to slide the cofferdam on its base. Dr. Raad Hoobi Irzooki, and Marwa Kaddori Majeed, are with University - Civil Engineering Department, Iraq http://dx.doi.org/10.15242/IAE.IAE0315413 (a) Circular cells (b) Diaphragm cells (c) Cloverleaf cells Fig. 1. Cellular cofferdams; [TVA, (2003)] Tikrit 60 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) The design analysis and stability of cofferdams, especially circular type, was studied analytically and experimentally by a number of researchers as follow: Farrokh and Robert, (1972)[2] presented the design of circular type cellular cofferdams formulated as a nonlinear optimization model that takes explicit account of relevant economic and technologic aspects. The objective is to minimization of total expected cost. The geometric programming approach provides important design insights by yielding the proportions of the total cost to be assigned to the cost components, fill material, sheet piling and flooding in an optimal design. Schroeder et al., (1977)[3] performed investigation on 12cell wharf at Terminal No.4 along the Willamette River in Portland, Oregon. Individual cells are 19.74m in diameter, spaced 25.74m center to center, a freestanding height of 20.1m, and connecting arcs which have a radius of 4.32m. He was found that the maximum interlock force in the cell was also near the dredge line and the lateral earth pressure values recommended by Terzaghi are adequate for design[4]. Sorota and Kinner, (1981)[5] presented a description of design of a steel sheet pile cellular cofferdam that was required for construction of a graving dry dock. The cofferdam was constructed approximately 168m offshore within the Hood Canal of Washington State and was required to retain 24m of water after basin dewatering. Items discussed include the need for two pumped dewatering systems, the need for vibratory probe compaction of the cell fills, site soil conditions, dredging, and steel sheet pile corrosion protection. Jahren, (1990)[6] stated that the sheet-pile cellular structure is constructed by arranging straight web sheet piles in a cylindrical shape and filling the enclosed volume with soil. Further analysis indicates that the results are sensitive to changes in several of the input parameters, but that the basic findings are unchanged within the range of changes in the sensitivity analysis. AL-shamkey, (1992)[7] studied the analysis of stability of circular cell in order to know the behavior of this cell under the lateral load to back fill loads inside the cell. The conclusion that obtained was the maximum hoop tension sheet occurs in the same zone at the level (1/6 ) from cell height. Mohammod et al., (2001)[8] studied the behavior of double sheet pile wall cofferdam on sandy soil subjected to high level of water. Test results imply that: (i) the shear deformation of the fill dominates the failure mechanism of the cofferdam, (ii) as the width of the cofferdam increases, the water height at failure increases and (iii) the sheet pile wall at the downstream is subjected to higher stresses than the sheet pile wall at the upstream. Peng et al., (2007)[9] based on the hydraulic computation theory, a hydraulic numerical model describing an overflow cofferdam during multi - phase diversion was presented to achieve the discharge capacities, stream wise water levels, velocities of both overflow cofferdam and narrowed river. The calculated values of this model are in good agreement with the observed data. Al-Rmmahi, (2009)[10] studied the design and construction of cellular cofferdams through test models to observe their stability. Series of laboratory tests had been http://dx.doi.org/10.15242/IAE.IAE0315413 carried out on two diaphragm cells of different width to depth ratios (0.75, 0.85, and 1). Then analysis of cellular cofferdam by software which is known PLAXIS is used to compute deformations, stresses, and strain in the body of cofferdam and foundation. The functions represent the relation between deformations and embedment depths that occurred after applied loads. Many conclusions had been drawn from this study. One of the main conclusions is that embedment depth is greatly effect on the resistance and deformation of the cell. AL-Khyatt, (2009)[11] studied the stability of cellular cofferdams through testing the models of three cases of isolated circular cofferdams with different cell width (b) to cell height (H) ratio (b/H), with five types of soil fill. The results of the tests indicate the following: the cells filled with subbase were more stable against sliding at different (b/H) ratios, the cells filled with sand passing No.8 were more stable against overturning at different (b/H) ratios. AL– Kelabbee, (2010)[12] presented a study about nonlinear finite element analysis that has been used to predict the load deflection behavior of circular cell cofferdam under lateral load by using ANSYS (version 5.4). The full NewtonRaphson method was used for the nonlinear solution algorithm. Al-Kassar, (2011)[13] studied the effect of berm and embedment depth on stability of cofferdam in wet soils. The results of tests declared that the resistance of cellular retaining structure (cofferdam) with wetting soils in wet foundations gives greater resistance than in dry soils. Al-janabi, (2012)[14] present study of nonlinear finite element analysis predict the load deflection behavior of cellular cell cofferdam under lateral load by using ANSYS (version 12.1) computer program. The main objective of this paper is studying the effect of geometry and type of filling soil on the stability of glover-leaf type cofferdams experimentally and analytically using ANSYS (version 12.1). II. MATERIALS AND METHODS A. Testing Instruments The following testing instruments were selected and constructed by authors in order reach the objectives of this study. 1) The Steel Frame A steel frame used to carry the soil box with dimension (900*900mm), and 700mm height. At the middle of its width fastened knee-braced frame. A knee-braced frame made of two angle beams (50*50 mm) and 850mm length, are welded vertically, at their bottom end, to the steel frame. The upper side of the angles is connected by a steel beam of 200mm length, 50mm width and 30mm thickness. A space of 150mm is provided between the two angle beams to allow passing the steel cable load, on each side of knee-braced frame. Finally, two steel angle beams (50*50mm) of 470mm length, are welded at 350mm height from knee-braced to support it. In each angle beams, a slit-like opening with dimensions of 650mm length and 25mm width is made at 50mm height 61 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) and 50mm height was fastened by screws above the two sides of the box. There is one hole in the middle of the beam to support a steel screwed shaft, 15mm diameter, and 800mm length. The steel shaft was used to support four dial gages. from the knee-braced base, this slit is use to fix the pulley system. 1) The Loading System The load is applied to the cell by steel cable loop 5mm in diameter hold around the cell tightly from one end and connected to the weight holder from the other. The loading system consists of: 1- The dead weight holder comprises of two parts, the first is a steel beam with dimension 300mm length, and 50mm diameter. 2- Square steel plate of 100mm length and 10mm thickness. The first part is welded vertically to the second part. A different dead weights of were used as a loading unit. 4) The Dial Gages System Three dial gages, of 0.01mm accuracy, were used to measure the displacement of the models throughout the entire testing program, these dial gages were mounted to the vertical steel shaft. Fig. 2 shows the cell loading model which was used in this study. 2) The Pulley System The pulley system consists of a round steel shaft 30mm in diameter and 200mm length, a pulley 50mm in diameter was fixed in the middle of the shaft, and two brackets each one surrounding ball 60mm and internal diameter 30mm, the two brackets provided with two holes that was used to fix the pulley set to the knee braced frame. Fig. 2. Glover-leaf cell testing model 3) The Soil Box B. Properties of Soil A wooden container with inner dimensions (900*900mm), and 200mm height, was used for modeling the cellular cofferdams system. At a distance 150mm from the back end of this box a steel angle beam of 920mm length, 50mm width Type of soil Subbase Sand Passing on Sieve No.4 River sand Dry Density (γd) (kN/m3) 17.37 Three different types of soils were used in all tests, the dry density, total unit weight and angle of internal friction for wet and dry conditions of these soils are shown in Table I. TABLE I THE PROPERTIES OFTHE FILLING SOILS IN THE CELL Total unit weight Angle of internal (γw) friction (ød) (kN/m3) (Degree) 19.014 38 15.573 14.3 17.455 14.54 34 31.5 Symbol of soil 32 30 GM SP SM and the second on one leaf (neutral or longitudinal directions). C. Experimental Testing Program In all experimental tests, the soil filling the steel box was compacted by vibrator to provide uniformly dense bed soil for models which were used in the study [14]. Three types of soils were used in the experimental tests; for each test the same type of soil was used as cell fill and foundation, and two cases of soils were used (dry and wet). Water content, dry density, direct shear test were executed for all soil types, the wetting unit weight was found. The second test tries to find the angle of internal friction (Ø). The glover-leaf cell was then filled with dry or wet soil at three layers and compacted carefully. This cell was located on the middle of foundation testing box, three different types of clover leaf cells were tested, see Fig. 3, these types have bed width to height ratio (b/H) equal to (1.0, 0.85, and 0.75). All types of clover leaf cells were tested by applying loads at three different location heights from the base, 100mm, 150mm, Fig. 3. Glover-leaf cells III. THEORETICAL MODELING (ANSYS+CivilFEM), is a finite-element analysis package, is used to simulate the response of a physical system to structural loading, and thermal and electromagnetic effects. (ANSYS+CivilFEM) uses the finite-element method to solve the underlying governing equations and the associated problem-specific boundary conditions. The SOLID45 element has been used in the modeling of soil and steel. This element is defined by eight nodes having three degrees of freedom at each node: translations in the node’s x, and at the top point of model, 300mm. Two different conditions for applying loads, the first applied on two leafs http://dx.doi.org/10.15242/IAE.IAE0315413 Angle of internal friction (øw) (Degree) 36 62 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) y, and z directions. The element has plasticity, creep, swelling, stress stiffening, large deflection, and large strain capabilities. Loads are described in Node and Element Loads. Pressures may be input as surface loads on the element faces. Positive pressures act into the element temperatures and fluencies may be input as element body loads at the nodes. The geometry and node locations for this element are shown in Fig, 4, [15]. B. Material Properties Parameters needed to define the material models can be found in Table II. As shown in this table, there are two parts of the material model for each element. C. Cloverleaf Cofferdam in (ANSYS+CIVIL FEM) Cloverleaf cofferdam was in depth of 300mm, and width of (300,255 and 225 mm) respectively. The dimensions of the foundation base (X=900mm, Y=900mm, Z=200mm), Fig. 5 shows the details of cofferdam geometry. The sand river soil was used in the program model in dry and wet cases. The load was applied at one third of height 100mm. Fig. 4 SOLID45 element [ANSYS12.1, (2010)][14] A. Nonlinear Solution The finite element discrimination process yields a set of simultaneous equations [14]. [K]{u}={Fa} (1) Where: [K] = coefficient matrix. N.m {u} = vector of unknown DOF (degree of freedom) values. {Fa} = Vector of applied loads. (ANSYS + CivilFEM) employs the "Newton - Raphson" approach to solve nonlinear problems. In this approach, the load is subdivided into a series of load increments. The load increments can be applied over several load steps, illustrates the use of Newton-Raphson equilibrium iterations in a single DOF nonlinear analysis[14]. Parameters needed to define for the models material such as (density, angle of internal friction, ect), there are two parts of the material model for each element. Material model number 1 consisting of soil filling the cell and foundation and material model number 2 refers to the steel sheet pile. The SOLID45 element was being used for modeling the filling material of cofferdam and steel sheet pile for the cofferdam. Fig. 5-a: Clover leaf Cofferdam and foundation in longitudinal direction Fig. 5-b: Clover leaf Cofferdam and foundation in neutral direction TABLE II MATERIAL PROPERTIES Material Model Number 1 2 Material Properties Element Type River sand soil SOLID45 SOLID45 𝐸soil 𝜐soil Young’s modulus (𝑁/𝑚2) Poisson’s ratio 13*103 0.3 𝜌wet Density of wet soil(𝑘g⁄m3) 1480 𝜌dry Density of dry soil (𝑘g⁄m ) 1457.69 𝐶d 𝐶w 𝜙d Cohesion in dry case(𝑘𝑁⁄m2) Cohesion in wet case(k𝑁⁄m2) Angle of Friction in dry case 3 5 31.5 𝜙w Angle of Friction in wet case 30 𝐸s 𝜐s 𝜌s Steel Young’s modulus (𝑁⁄m2) Poisson’s ratio Steel Density (𝑘g⁄m3) 201*109 0.3 7865 http://dx.doi.org/10.15242/IAE.IAE0315413 3 63 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) IV. RESULTS OF EXPERIMENTAL TESTS Figs. 6 to 14 represent the relationship between the lateral load and displacement for experimental tests on glover-leaf cofferdam cells filling with different soil types and for applying load at 100mm height from the base only. From these figures it can be seen the following:1-The displacement is linearly proportional to applied load at the beginning and after that, the curves show non linearly displacement proportional with load, and then the loaddisplacement relationship become again linear with failure occurrence. 2- For all tests, the displacement of cell which was filled with wet soil is resist more than the cell with dry soil when applying same load on these two cells. This is because the weight of wet soil is more than the dry soil, in spite of the friction between the wet soil and the foundation soil is less than the friction between the dry soil and the base. 3- The cells filled with subbase was resist more than the two other soils because the density of subbase is more than the two other soil, so that the cell which fill with subbase will be have more weight when the volume was constant. 4- The longitudinal direction of clover leaf cell expressed more resistance than the neutral direction because the increasing in the length side that versus to load. 5- By making comparison between the experimental results of the present study with the experimental results of (Alkassar, 2001)[13] which used circular cofferdam cell was filled with saturated soils (subbase, sand passing sieve No.4 and river sand) and (b/H) equal to (0.75 and 1), this comparison show that the failure load required for glover-leaf cofferdam is more than that load required for circular cell as following: - For neutral direction (130-190%) with (b/H)=0.75 - For neutral direction ( 40-80%) with (b/H)=1 - For longitudinal direction (160-250%) with b/H=0.75 - For longitudinal direction (50-100%) with b/H=1 From the above results it can be seen that the glover-leaf cofferdams is more stable than other types. Fig. 7. Horizontal displacement and lateral load relationship for river sand (Load at 100mm height and, 𝐛/𝐇=0.75) Fig. 8. Horizontal displacement and lateral load relationship for subbase (Load at 100mm height and, 𝐛/𝐇=0.75) Fig. 9. Horizontal displacement and lateral load relationship for sand (Load at 100mm height and, 𝐛/𝐇=0.85) Fig. 6. Horizontal displacement and lateral load relationship for sand (Load at 100mm height and, 𝐛/𝐇=0.75) http://dx.doi.org/10.15242/IAE.IAE0315413 64 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) Fig. 13. Horizontal displacement and lateral load relationship for river sand (Load at 100mm height and, b/H=1) Fig.10. Horizontal displacement and lateral load relationship for river sand (Load at 100mm height and, 𝐛/𝐇=0.85) Fig. 14. Horizontal displacement and lateral load relationship for subbase (Load at 100mm height and, b/H=1) V. RESULTS OF THEORETICAL ANALYSIS Figs. 15 to 26 show the comparison between the theoretical and experimental results of applied load with lateral displacement for cloverleaf cofferdam cell using different (b/H) ratios (0.75, 0.85 and 1), different cases of soil (wet and dry), different cases of cell location (longitudinal and neutral) and for case of applying load at height 100mm from the base. These figures concluded a good agreement between the results of the above two methods. Fig. 11. Horizontal Displacement and lateral load relationship for subbase (Load at 100mm height and, b/H=0.85) Fig. 12: Horizontal displacement and lateral load relationship for sand (Load at 100mm height and, b/H=1) Fig.15. Comparison between ANSYS and experimental results for dry river sand in neutral direction for b/H=0.75 http://dx.doi.org/10.15242/IAE.IAE0315413 65 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) Fig.16. Comparison between ANSYS and experimental results for dry river sand in longitudinal direction for b/H=0.75 Fig.19. Comparison between ANSYS and experimental results for dry river sand in neutral direction for b/H=0.85 Fig,17. Comparison between ANSYS and experimental results for wet river sand in neutral direction for b/H=0.75 Fig. 20. Comparison between ANSYS and experimental results for dry river sand in longitudinal direction for b/H=0.85 Fig,18. Comparison between ANSYS and experimental results for wet river sand in longitudinal direction for b/H=0.75 http://dx.doi.org/10.15242/IAE.IAE0315413 Fig,21. Comparison between ANSYS and experimental results for wet river sand in neutral direction for b/H=0.85 66 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) Fig, 22. Comparison between ANSYS and experimental results for wet river sand in longitudinal direction for b/H=0.85 Fig.25. Comparison between ANSYS and experimental results for wet river sand in neutral direction for b/H=1 Fig.23. Comparison between ANSYS and experimental results for dry river sand in neutral direction for b/H=1 Fig. 26. Comparison between ANSYS and experimental results for wet river sand in longitudinal direction for b/H=1 VI. ARTIFICIAL NEURAL NETWORK (ANN) MODEL Artificial Neural Network (ANN) is powerful solution to many complex modeling problems. Many studies have demonstrated that the (ANN) models are very successful in hydraulic maters [16, 17, 18]. ANN is an information processing system that is inspired by the biological nervous system, such as brain. The human brain is composed of large number of interconnected processing elements (neurons). Due to structure in which the neurons arranged and operate, human are able to quickly recognize patterns and process data. An (ANN) is a simplified mathematical representation of biological neural network. It has the ability to learn from examples, recognize a pattern in the data, adapt solution over time, and process information[17]. There are many different types of artificial neural networks in terms of structure and mode of operation. In this study, one of the most popular Fig. 24. Comparison between ANSYS and experimental results for dry river sand in longitudinal direction for b/H=1 http://dx.doi.org/10.15242/IAE.IAE0315413 67 2015 International Conference on Food Nutrition and Civil Engineering (ICFNCE’2015) March 14-15, 2015 Dubai (UAE) neural networks is examined, the widely used multilayer perceptron (MLP) network. Artificial Neural Network is a layered network of artificial neurons. The neurons or nodes are generally arranged in parallel to form layers. The first layer, which receives the inputs, is called input layer and the last layer is called output layer. The rest are hidden layers whose depend on the problem to be solved. The input layer which takes the input values from the outside. All the nodes of the input layer from the inputs of the neural network. The nodes of the output layer send the output values to the user’s external environment[19]. The hidden layers are the processing center of network system. The weights are adjusted in an iterative manner to achieve the expected output values. A typical artificial neural is shown in Fig. 27. The number of nodes in input and output layer are fixed according to the number of dependent and independent variable in the training data, while the selection of an optimal number of nodes in the hidden layer depend on the specific problem. If the number of neurons is small in hidden layer, the network may not learn the process correctly. On the other hand if the number is too high, the training will take a long time and the over fitting of the training data may produce [17]. From the above table it can be seen that the most important variable in the stability of glover-leaf cofferdams, in each direction, is the density of filling soil (γ), while the bed width of the cell (b) has a little importance. VIII. CONCLUSIONS In the present research, the effect of geometry and soil type on the stability of glover-leaf cofferdams was investigated experimentally and theoretically. This study concludes to the following: 1- The clover leaf cells filled with wet subbase were more stable against sliding and overturning at different (b/H) ratio. 2- For all tests, the displacement of clover leaf cell which was filled with wet soil expressed more resistance than the cell with dry soil when applying same load on these two cells. 3- The cells that put on the longitudinal direction were more stable against sliding and overturning at different (b/H) ratios, because the increase of the opposite load side of the loading cell. 4- In general, the results obtained using the finite element models represented by the load applied at one third of the cell cofferdam height for river sand deflection curves show good results with the experimental. The difference between the numerical ultimate loads and the corresponding experimental ultimate loads is in the range between (0-6.9)%. 5- The glover-leaf cofferdam has more resistance and it’s more stable than other types against applying load. 6- By using Artificial Neural Network (ANN) program, the importance of each effecting variables determined in neutral and longitudinal direction, the results show that the density of soil is the bigger effect variable on the failure loading with effect ratio (35.3%) in neutral direction and (36%) in longitudinal direction. The effectiveness of , loading height(y) and the cell position (B) in neutral and longitudinal direction was (10.2%, 33.3%, 21.2%), (18.6%, 31.9%, 13.5%) respectively. Fig. 27. Typical Artificial Neural Network VII. RESULTS OF ANN The SPSS.17 software application allows the selection of data division into training set. The (ANN) model comprised of four neurons in the input layer the input data namely (b, ɣ (Gama), (b/H) and y), the output value was the failure force (F). The most suitable data division found here to be 68.5% in neutral direction (37 runs) for training and 31.5% (17 runs) for testing. Also, the most suitable data division found for longitudinal direction is 68.5% (37 runs) for training and 31.5% (17 runs) for testing. Table III shows the relative importance for each input variable in neutral and longitudinal directions. REFERENCES [1] [2] [3] [4] TABLE III THE RALATIVE IMPORTANCE OF VARIABLES Input Variable b γ (Gama) b/H y Neutral Direction Importance 0.130 0.426 0.148 0.296 Normalized Importance 30.4% 100% 34.7% 69.5% [5] Longitudinal Direction Importance 0.135 0.360 0.186 0.319 http://dx.doi.org/10.15242/IAE.IAE0315413 Normalized Importance [6] 37.5% 100% 51.7% 88.8% [7] [8] 68 K. M. Nemati,"Temporary structure cofferdam", Department of Construction Management, University of Washington, 2007. Farrokh Neghabat and Robert M. Stark, "A Cofferdam Design Optimization", Mathematical programming 3, North-Holland publishing company , 1972, pp.263-275. W. L. Schroeder, D. K. Marker, and T. Khuayjarempanishk, "Performance of a cellular wharf", J. Geotech, Eng. Div., ASCE, Vol.103, No. GT3, pp. 153-168, 1977. K. Terzaghi, R. B. Ralf and G. Mesri, Soil Mechanics in Engineering Practice, 3rd ed., John Wiley & Sons. Inc., 1996, ch. 6, p. 349. Max. D. Sorota and Edward B. Kinner, "Cellular cofferdam for trident dry dock: Design", J. Geotech. Eng. Div., ASCE, Vol. 107, No. GT12, pp. 1643-1655, 1981. Charles T. Jahren "Reliability comparison for sheet-pile cellular", ASCE, Structures Vol. 4, No. 4, pp. 216-235, November 1990. AL-shamkey, "Stability of cellular cofferdams", M.Sc.. Thesis, College of Engineering, University of Baghdad, 1992. R. Amin Khan Mohammod, T. Jiro, F. 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Middle East Technical University, 2004. Dr. Raad Hoobi Irzooki, birth in Iraq, Baghdad, October-1963, Assistant Professor, B.Sc. in Water Resources Engineering from Baghdad University, Iraq in 1985. M.Sc. in Water Resources Engineering – Hydraulic Structures from Baghdad University in 1991. Ph.D. in Building and Construction Engineering-Water Resources Engineering from University of Technology, Iraq in 1998. Areas of Expertise: Hydraulic Structures and Seepage Through Earth Dams. He is instructor in the College of Engineering – Tikrit University, Iraq from 1992 till now. He is a head of Civil Engineering in Tikrit University from 2001 to 2003 and the director of consulting engineering bureau from 2007 to 2011. Dr. Irzooki issued supervised more than 20 Ph.d , M.Sc. and Higher Diploma students and published 15 papers in local and international journals. E-mail: dr.raadhoobi@yahoo.com Marwa.k Majeed from Iraq, Samarra, birth in June 1990, B.Sc. in Civil Engineering 2012 from Tikrit University, Iraq, She is a master Student in Tikrit university too. She is work as a lecturer in Engineering College in Samarra University. http://dx.doi.org/10.15242/IAE.IAE0315413 69
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