Boltzmann's colloidal transport in porous media with velocity-dependent capture probability

2021 ◽  
Vol 33 (5) ◽  
pp. 053306
Author(s):  
Thomas Russell ◽  
Pavel Bedrikovetsky
Keyword(s):  
Porous Media ◽  
Capture Probability ◽  
Colloidal Transport ◽  
Transport In Porous Media

Averaged Boltzmann’s Kinetics for Colloidal Transport in Porous Media

2021 ◽  
Vol 57 (3) ◽  
Author(s):  
T. Russell ◽  
O. Yu Dinariev ◽  
L. A. Pessoa Rego ◽  
P. Bedrikovetsky
Keyword(s):  
Porous Media ◽  
Colloidal Transport ◽  
Transport In Porous Media

Size-Exclusion Colloidal Transport in Porous Media--Stochastic Modeling and Experimental Study

SPE Journal ◽  
2013 ◽  
Vol 18 (04) ◽  
pp. 620-633 ◽  
Author(s):  
Zhenjiang You ◽  
Alexander Badalyan ◽  
Pavel Bedrikovetsky
Keyword(s):  
Experimental Study ◽  
Porous Media ◽  
Stochastic Modeling ◽  
Size Exclusion ◽  
Colloidal Transport ◽  
Transport In Porous Media

scholarly journals Well-defined poly(ethylene glycol) polymers as non-conventional reactive tracers of colloidal transport in porous media

2021 ◽  
Vol 584 ◽  
pp. 592-601
Author(s):  
Thomas Ritschel ◽  
Katharina Lehmann ◽  
Michaela Brunzel ◽  
Jürgen Vitz ◽  
Ivo Nischang ◽  
...  
Keyword(s):  
Porous Media ◽  
Ethylene Glycol ◽  
Poly Ethylene Glycol ◽  
Colloidal Transport ◽  
Transport In Porous Media ◽  
Reactive Tracers ◽  
Poly Ethylene

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

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Z. You ◽  
P. Bedrikovetsky ◽  
L. Kuzmina
Keyword(s):  
Exact Solution ◽  
Porous Media ◽  
Pore Size ◽  
Total Concentration ◽  
Equation System ◽  
Size Exclusion ◽  
Deep Bed Filtration ◽  
Colloidal Transport ◽  
Transport In Porous Media

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.

Modified Particle Detachment Model for Colloidal Transport in Porous Media

2010 ◽  
Vol 86 (2) ◽  
pp. 353-383 ◽  
Author(s):  
Pavel Bedrikovetsky ◽  
Fernando D. Siqueira ◽  
Claudio A. Furtado ◽  
Antonio Luiz S. Souza
Keyword(s):  
Porous Media ◽  
Colloidal Transport ◽  
Particle Detachment ◽  
Transport In Porous Media
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