DOUBLE POROSITY MODELS FOR LIQUID FILTRATION IN INCOMPRESSIBLE POROELASTIC MEDIA
نویسندگان
چکیده
منابع مشابه
Double Porosity Models for Liquid Filtration in Incompressible Poroelastic Media
Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level consist of the stationary Stokes system for an incompressible viscous fluid, occupying a crack-pore space (liquid domain), and stationary Lame equations for an incompressible elastic solid skeleton, coupled with correspon...
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Double-porosity materials were introduced as models for oil and gas reservoirs having both storage and transport porosities, and were at first usually treated as static mechanical systems in order to study the flow patterns of fluids during reservoir pump-down. Because fluid withdrawal normally increases the effective stress acting on the reservoir, it also turns out to be important to study th...
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Double porosity models for the liquid filtration in an absolutely rigid body is derived from homogenization theory. The governing equations of the fluid dynamics on the microscopic level consist of the Stokes system for a slightly compressible viscous fluid, occupying a crack – pore space. In turn, this domain is a union of two independent systems of cracks (fissures) and pores. We suppose that...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2010
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202510004374