2-D Darcian flow in vicinity of permeable fracture perturbing unidirectional flow in homogeneous formation

DOI10.1007/S10665-019-10011-ZzbMath1446.74200OpenAlexW2973013699MaRDI QIDQ1989216

N. D. Yakimov, Anvar R. Kacimov

Publication date: 24 April 2020

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-019-10011-z

zbMATH Keywords

complex potentialRobin boundary conditionhydrofrackingKantorovich-Krylov system

Mathematics Subject Classification ID

Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Complex variables methods applied to problems in fluid mechanics (76M40) Numerical and other methods in solid mechanics (74S99)

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructal design of permeable reactive barriers: groundwater-hydraulics criteria
• Leaky-layer seepage: The Verigin function revisited
• Analytical solutions of seepage theory problems. Inverse method, variational theorems, optimization and estimates (a review)
• Estimation of tracer migration time in ground water flow
• Groundwater flow in a medium with periodic inclusions
• Complex analytical solutions for flow in hydraulically fractured hydrocarbon reservoirs with and without natural fractures
• Analytical solutions for pore-fluid flow focusing within inclined elliptic inclusions in pore-fluid-saturated porous rocks: Solutions derived in an elliptical coordinate system
• A solution of steady-state fluid flow in multiply fractured isotropic porous media
• Capture flows of funnel-and-gate reactive barriers without gravel packs
• Analytical solution and shape optimization for groundwater flow through a leaky porous trough subjacent to an aquifer
• The Estimation of Integral Seepage Characteristics of Hydraulic Structures in Terms of the Theory of Inverse Boundary-Value Problems
• Darcy flow around a two-dimensional permeable lens
• On the perturbation of a filtration flow by a single crack

This page was built for publication: 2-D Darcian flow in vicinity of permeable fracture perturbing unidirectional flow in homogeneous formation