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Analytical solution for the consolidation of a composite ground reinforced by partially penetrated impervious columns
Institution:1. Civil and Industrial Engineering Department, High Polytechnic School of Algeciras, University of Cadiz, Ramon Puyol Avenue, Algeciras 11202, Spain;2. Tribology and Dynamics of Systems Laboratory, National School of Engineers at Saint-Etienne, 58 Jean Parot Avenue, Saint-Etienne 42100, France;3. Modelling and Analysis of Systems Laboratory, Faculty of Sciences at Tetouan, BP. 2121 M’hannech, Tetouan 93002, Morocco;1. College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China;2. Department of Civil Engineering, Shanghai University, Shanghai 200444, China;3. College of Mechanical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;4. Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. Department of Civil Engineering, Industrial University of Ho Chi Minh City, Ho Chi Minh City 700000, Viet Nam;2. Department of Civil Engineering, Ho Chi Minh City University of Technology, Vietnam National University, HCM City, Ho Chi Minh City 700000, Viet Nam;3. Department of Ocean Engineering, Pukyong National University, Busan 608-737, Republic of Korea
Abstract:Composite ground improved by partially penetrated impervious columns consists of a reinforced zone and an underlying stratum. Based on the axisymmetric consolidation model, the governing equations for the average excess pore water pressure were developed within the surrounding soil and the underlying untreated soil. The corresponding solutions were given on the basis of the consolidation theory of a double-layer subsoil ground, and the overall average degree of consolidation of the composite ground was obtained. The accuracy of the proposed solution was examined by FEM. The proposed solution and FEM results show a good match. A parametric analysis of consolidation behavior of the composite ground was then investigated. The results indicate that the consolidation rate of the composite ground strongly depends on the penetration ratio of the impervious columns (ratio of column length to soil thickness) in the way that the higher the ratio, the faster the consolidation rate. In addition, an increasing area replacement ratio of an impervious column decreases the consolidation rate. The consolidation rate of the composite ground decreases with the increasing of the constrained modulus ratio of an impervious column to its surrounding soil for a lower penetration ratio, while it increases with the increasing of the constrained modulus ratio for a higher penetration ratio.
Keywords:Consolidation  Impervious columns  Composite ground  Analytical solution
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