Boundary Conditions for Porous Solids Saturated With Viscous Fluid

M. D. Sharma

doi:10.3879/j.issn.1000-0887.2009.07.002

Volume 30 Issue 7

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M. D. Sharma. Boundary Conditions for Porous Solids Saturated With Viscous Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(7): 766-776. doi: 10.3879/j.issn.1000-0887.2009.07.002

Citation:

M. D. Sharma. Boundary Conditions for Porous Solids Saturated With Viscous Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(7): 766-776. doi: 10.3879/j.issn.1000-0887.2009.07.002

Citation:

M. D. Sharma. Boundary Conditions for Porous Solids Saturated With Viscous Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(7): 766-776. doi: 10.3879/j.issn.1000-0887.2009.07.002

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Boundary Conditions for Porous Solids Saturated With Viscous Fluid

doi: 10.3879/j.issn.1000-0887.2009.07.002

M. D. Sharma

Department of Mathematics, Kurukshetra University, India-136 119

Received Date: 2008-07-29
Rev Recd Date: 2009-04-28
Publish Date: 2009-07-15

Abstract

Abstract

Boundary conditions were derived to represent the continuity requirements at the boundaries of a porous solid saturated with viscous fluid.These were derived from the physically grounded principles with a mathematical check on the conservation of energy.The poroelastic solid is a dissipative one,for the presence of viscosity in inter stitial fluid.The dissipative stresses due to the viscosity of pore-fluid,are well represented in the boundary conditions.The unequal particle motions of two constituents of porous aggregate at a boundary between two solids were explained interms of drainage of pore-fluid leading to imperfect bonding.Mathematical model was derived for the partial connection of surface pores at the porous-porous interface.At this interface,the loose-contact slipping and partial pore opening/connection may dissipate a part of strain energy.Numerical example shows that,at the interface between water and oil-saturated sandstone,the modified boundary conditions do affect the energies of the waves refracting into the isotropic porous medium.
- porous solid,
- dissipative,
- boundary conditions,
- fluid-solid coupling,
- Darcy law

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References(21)

References

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