Abstract and Applied Analysis

Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media

Z. You, P. Bedrikovetsky, and L. Kuzmina

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Abstract

Long-term deep bed filtration in porous media with size exclusion particle capture mechanism is studied. For monodispersed suspension and transport in porous media with distributed pore sizes, the microstochastic model allows for upscaling and the exact solution is derived for the obtained macroscale equation system. Results show that transient pore size distribution and nonlinear relation between the filtration coefficient and captured particle concentration during suspension filtration and retention are the main features of long-term deep bed filtration, which generalises the classical deep bed filtration model and its latter modifications. Furthermore, the exact solution demonstrates earlier breakthrough and lower breakthrough concentration for larger particles. Among all the pores with different sizes, the ones with intermediate sizes (between the minimum pore size and the particle size) vanish first. Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 680693, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449642

Digital Object Identifier
doi:10.1155/2013/680693

Mathematical Reviews number (MathSciNet)
MR3147828

Zentralblatt MATH identifier
07095228

Citation

You, Z.; Bedrikovetsky, P.; Kuzmina, L. Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 680693, 9 pages. doi:10.1155/2013/680693. https://projecteuclid.org/euclid.aaa/1393449642


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