Deformation and fluid flow due to a source in a poro-elastic layer

DOI10.1016/S0307-904X(97)00097-8zbMath0905.76087OpenAlexW2000018094MaRDI QIDQ1384377

G. N. Mercer, C. Zoppou, S. I. Barry

Publication date: 9 February 1999

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(97)00097-8

zbMATH Keywords

Hankel transformpoint sourcefilterdisplacement of solid matrixlinearly elastic solidaxisymmetric geometryHankel inversion integralpressure contourssurface fluid velocity

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05)

Related Items

Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube ⋮ Hydrodynamics and convection enhanced macromolecular fluid transport in soft biological tissues: application to solid tumor ⋮ Two-phase modeling of fluid injection inside subcutaneous layer of skin ⋮ Consolidation of an anisotropic soil stratum on a smooth-rigid base due to surface loads ⋮ Droplet absorption and spreading into thin layers of polymer hydrogels ⋮ A numerical study of wave propagation in a poroelastic medium by use of localized differential quadrature method ⋮ Isogeometric analysis of subcutaneous injection of monoclonal antibodies ⋮ Shallow, gravity-driven flow in a poro-elastic layer ⋮ Variability quantification of excess pressure head in heterogeneous deformable aquifers ⋮ Flow and deformation in poroelasticity. I: Unusual exact solutions.

Cites Work

• Unnamed Item
• Theories of immiscible and structured mixtures
• Withdrawal of a compressible pore fluid from a point sink in an isotropic elastic half space with anisotropic permeability
• Incompressible porous media models by use of the theory of mixtures
• Unsteady flow induced deformation of porous materials
• The theory of an incompressible solid-fluid mixture
• [https://portal.mardi4nfdi.de/wiki/Publication:3275633 Theorie dreidimensionaler Setzungsvorg�nge in Tonschichten]
• LONG TERM SUBSIDENCE DUE TO FLUID EXTRACTION FROM A SATURATED, ANISOTROPIC, ELASTIC SOIL MASS
• Numerical Laplace-Fourier transform inversion technique for layered-soil consolidation problems: I. Fundamental solutions and validation
• Recent Developments in Synovial Joint Biomechanics
• Radial flow through deformable porous shells
• PLANE STRAIN AND AXIALLY SYMMETRIC CONSOLIDATION OF A CLAY LAYER ON A SMOOTH IMPERVIOUS BASE