Unidirectional infiltration in deformable porous media: mathematical modeling and self-similar solution
نویسندگان
چکیده
منابع مشابه
Infiltration of Initially Dry, Deformable Porous Media
The present paper studies the in ltration of an incompressible liquid in an initially dry (or partially dry), deformable spongeous material made of an incompressible constituent in the slugow approximation having in mind the application to some industrial processes involving ow through spongeous materials and, in particular, some composite materials manufacturing processes. The resulting initia...
متن کاملInfiltration through porous media.
We study the kinetics of infiltration in which contaminant particles, which are suspended in a flowing carrier fluid, penetrate a porous medium. The progress of the "invader" particles is impeded by their trapping on active "defender" sites which are on the surfaces of the medium. As the defenders are used up, the invader penetrates further and ultimately breaks through. We study this process i...
متن کاملBrine transport in porous media: self-similar solutions
In this paper we analyze a model for brine transport in porous media, which includes a mass balance for the fluid, a mass balance for salt, Darcy’s law and an equation of state, which relates the fluid density to the salt mass fraction. This model incorporates the effect of local volume changes due to variations in the salt concentration. Density variations affect the compressibility of the flu...
متن کاملMathematical Modeling and Analysis Multigrid Homogenization of Heterogenous Porous Media
Introduction: The earth is perhaps the most obvious example of a porous medium. Flows in porous media are part of our everyday lives, from water in the garden, to oil in underground reservoirs. The mathematical modeling of flow in porous media, particularly with the ever increasing power of computers, is playing a fundamental and increasingly important role in the forecasting of petroleum reser...
متن کاملMathematical Modeling of Anomalous Diffusion in Porous Media
Analysis of diffusion in a complex environment shows that the conventional diffusion equation based on Fick’s law fails to model the anomalous character of the diffusive mass transport observed in the field and laboratory experiments. New mathematical models of diffusive transport, different from Fick’s law, were proposed and validated in literature. In the present paper the examples of the equ...
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: Quarterly of Applied Mathematics
سال: 2000
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1738559