Nonlinear and non-local analytical solution for Darcy–Forchheimer flow through a deformable porous inclusion within a semi-infinite elastic medium

DOI10.1017/jfm.2020.1024zbMath1483.76058OpenAlexW3127606951MaRDI QIDQ5014072

Wei Zhang, Amin Mehrabian

Publication date: 6 December 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2020.1024

zbMATH Keywords

Green functionfluid injectionporous medium flowdisk-shaped inclusionwellbore performance index

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05)

Uses Software

• COMSOL

Cites Work

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• Integrating products of Bessel functions with an additional exponential or rational factor
• Carbon dioxide dissolution in structural and stratigraphic traps
• MATHEMATICAL FRAMEWORK OF THE WELL PRODUCTIVITY INDEX FOR FAST FORCHHEIMER (NON-DARCY) FLOWS IN POROUS MEDIA
• Fundamental Solutions for a Poroelastic Half-Space With Compressible Constituents
• From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection
• Fluid transport in geological reservoirs with background flow
• The effect of solid boundaries on pore shrinkage in Stokes flow
• Similarity solutions for fluid injection into confined aquifers
• Nuclei of Strain in the Semi-Infinite Solid
• Thermoelastic Stress in the Semi-Infinite Solid
• On certain integrals of Lipschitz-Hankel type involving products of bessel functions