Homogenized models for filtration and for acoustic wave propagation in thermo-elastic porous media
نویسندگان
چکیده
منابع مشابه
Homogenized Models for a Short-time Filtration and for Acoustic Waves Propagation in a Porous Media
Abstract. We consider a linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space. The rigorous justification, under various conditions imposed on physical parameters, is fulfilled for homogenization procedures as the dimensionless size of the pores tends to zero, while the porous body is geometrically periodic and a characteristic...
متن کاملHomogenization and Filtration and Seismic Acoustic Problems in Thermo-elastic Porous Media
A linear system of differential equations describing a joint motion of thermoelastic porous body and thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justification, under...
متن کاملAcoustic and Filtration Properties of Thermo-elastic porous medium: Biot’s Equations of Thermo-Poroelasticity
A linear system of differential equations describing a joint motion of thermoelastic porous body and incompressible thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justi...
متن کاملNguetseng’s Two-scale Convergence Method For Filtration and Seismic Acoustic Problems in Elastic Porous Media
A linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justification, under various con...
متن کاملHigh-order Numerical Methods for Wave Propagation in Porous Media
Groundwater is a hugely important resource in both developed and developing countries and makes up over 90% of the world’s freshwater. The idea behind our work is to use wave scattering in saturated porous media to quantify aquifer state and hydraulic properties. We initially focused on solving related inverse problem using the Specfem software to model coupled elastic/poroelastic waves. Of par...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Applied Mathematics
سال: 2008
ISSN: 0956-7925,1469-4425
DOI: 10.1017/s0956792508007523