Assessment of steady-state seepage through dams with nonsymmetric boundary conditions: analytical approach

作者: Hamed Reza Zarif Sanayei , Hamed Javdanian

DOI: 10.1007/S10661-019-7973-3

关键词: GeologySteady stateHydraulic headPiecewiseBoundary value problemPartial differential equationPlane (geometry)Boundary (topology)Step functionMechanics

摘要: In this study, new analytical solutions were developed for 2D and 3D steady-state water seepage through dams with nonsymmetric boundary conditions. The conditions the cases created different unit step functions on a part and/or parts of right dam plane. Six investigated in 2D, where constant hydraulic head is applied at left plane rectangular, ramp, triangular, trapezoidal, tunnel, piecewise rectangular distributions are Then, case upstream linearly distributed downstream was investigated. Subsequently, performance proposed examined by comparison numerical finite difference modeling. results demonstrate reasonable accuracy equations. can be utilized as benchmark to verify models similar

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