Analytical solutions of seepage theory problems. Inverse method, variational theorems, optimization and estimates (a review)

DOI10.1007/BF02698697zbMath0938.76100OpenAlexW2039044122MaRDI QIDQ1289466

N. D. Yakimov, N. B. Il'inskij, Aslan R. Kasimov

Publication date: 27 June 2000

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02698697

zbMATH Keywords

dam problemparametric analysisoptimization methodsseepage theorymethods of inverse boundary value problemsvariational-topological methods

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (8)

A conformal mapping approach for investigating the free-boundary seepage from symmetric channels ⋮ Reliability analysis of seepage using an applicable procedure based on stochastic scaled boundary finite element method ⋮ Seepage from a channel: solution structure and flow-rate estimation ⋮ Phreatic seepage flow through an earth dam with an impeding strip ⋮ Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited ⋮ 2-D Darcian flow in vicinity of permeable fracture perturbing unidirectional flow in homogeneous formation ⋮ Constructal design of permeable reactive barriers: groundwater-hydraulics criteria ⋮ Groundwater flow in hillslopes: analytical solutions by the theory of holomorphic functions and hydraulic theory

Cites Work

• Estimates of the flow rate characteristics in the theory of filtration and heat conduction
• Extremal estimates in the theory of freezing of filtering soils
• Second-order necessary conditions in a domain optimization problem
• Comparison theorems for some problems of filtration in inhomogeneous ground
• Finite groups with \(2\)-nilpotent subgroups of even index
• Explicit, rigorous solutions of two-dimensional heat transfer: Two-component media and optimzation of cooling fins
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• The Estimation of Integral Seepage Characteristics of Hydraulic Structures in Terms of the Theory of Inverse Boundary-Value Problems
• Analytically computed rates of seepage flow into drains and cavities
• Optimization of the protrusion shape for a couette‐type flow
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