Boundary conditions for porous solids saturated with viscous fluid

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Boundary conditions for porous solids saturated with viscous fluid

Boundary conditions are derived to represent the continuity requirements at the boundaries of a porous solid saturated with viscous fluid.They are 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 the interstitial 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 are explained in terms of the drainage of pore-fluid leading to imperfect bonding.A mathematical model is 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.A 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.水利论文!G8h*~y B,Xq2JL T Y

作 者: M.D.Sharma  
作者单位:Department of Mathematics,Kurukshetra University,Kurukshetra 136119,Haryana,India 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(7) 
分类号:O359.2 
关键词:porous solid   dissipative   boundary conditions  
机标关键词:boundary conditionsinterfacemathematical modelprinciplesaggregatetwoterms 
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