Anomalous Diffusion Behavior of CO2 in the Macromolecular Network Structure of Coal and Its Significance for CO2 Sequestration

2007 ◽  
Author(s):  
Saikat Mazumder ◽  
Johannes Bruining
Keyword(s):  
Network Structure ◽  
Anomalous Diffusion ◽  
Co2 Sequestration ◽  
Diffusion Behavior ◽  
Macromolecular Network

Investigation on the macromolecular network structure of Xianfeng lignite by a new two-step depolymerization

Fuel ◽  
2013 ◽  
Vol 109 ◽  
pp. 49-53 ◽  
Author(s):  
Chun-Xiu Pan ◽  
Xian-Yong Wei ◽  
Heng-Fu Shui ◽  
Zhi-Cai Wang ◽  
Juan Gao ◽  
...  
Keyword(s):  
Network Structure ◽  
Macromolecular Network

scholarly journals Infiltration experiments demonstrate an explicit connection between heterogeneity and anomalous diffusion behavior

2016 ◽  
Vol 52 (7) ◽  
pp. 5167-5178 ◽  
Author(s):  
N. Filipovitch ◽  
K. M. Hill ◽  
A. Longjas ◽  
V. R. Voller
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Behavior

Analysis of a Model for Anomalous-Diffusion Behavior of CO2 in the Macromolecular-Network Structure of Coal

SPE Journal ◽  
2010 ◽  
Vol 16 (04) ◽  
pp. 856-863 ◽  
Author(s):  
Saikat Mazumder ◽  
Fred Vermolen ◽  
Johannes Bruining
Keyword(s):  
Anomalous Diffusion ◽  
Intermediate Phase ◽  
Time Behavior ◽  
Enhanced Diffusion ◽  
Coal Swelling ◽  
Pure Diffusion ◽  
Macromolecular Network ◽  
Diffusion In Polymers ◽  
Saturation Effects ◽  
Stress Induced Diffusion

Summary This paper gives an analysis of the Thomas and Windle model (Thomas and Windle 1982) to determine its usefulness for describing anomalous diffusion of CO2 in coal and its relation to matrix swelling. In addition, a finite-element description for this model is derived. For reasons of easy reference, a shortened derivation of the Thomas and Windle model is presented, which was originally derived to describe diffusion in polymers. The derivation includes the surface saturation effects proposed by Hui et al. (1987a, 1987b). Because the cumulative sorption showed tα behavior with α > 0.5, the behavior was described as enhanced diffusion or even superdiffusion. Analysis of the model equation shows no evidence for superdiffusion even if non-Fickian behavior is observed [i.e., there is (1) an initial phase in which the coal surface gets saturated with a slope > 0.5 in a log-log plot of cumulative sorption vs. time, (2) an intermediate phase that shows the typical square-root-of-time behavior of an ordinary diffusion process, and (3) a final phase with a slope < 0.5 toward equilibrium]. The cumulative mass is for all times less than what would have been obtained for pure diffusion in a particle characterized by a rubber diffusion coefficient. The slow saturation at the surface masks a process where fast stress-induced diffusion dominates, which indeed can be faster than Fickian. The cumulative sorption rates give behavior similar to the Rückenstein model (Rückenstein et al. 1971), but the advantage of the Thomas and Windle model is that it can also calculate the resulting coal-swelling effects.

The nature of the macromolecular network structure of bituminous coals

1985 ◽  
Vol 50 (24) ◽  
pp. 4729-4735 ◽  
Author(s):  
John W. Larsen ◽  
Thomas K. Green ◽  
Jeffrey Kovac
Keyword(s):  
Network Structure ◽  
Macromolecular Network ◽  
Bituminous Coals

Anomalous diffusion behavior in parliamentary presence

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Denner S. Vieira ◽  
Jesus M. E. Riveros ◽  
Max Jauregui ◽  
Renio S. Mendes
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Behavior

Diffusion Behavior of Water Molecules in Hydrogels with Controlled Network Structure

2019 ◽  
Vol 52 (5) ◽  
pp. 1923-1929 ◽  
Author(s):  
Takeshi Fujiyabu ◽  
Xiang Li ◽  
Ung-il Chung ◽  
Takamasa Sakai
Keyword(s):  
Network Structure ◽  
Water Molecules ◽  
Diffusion Behavior

Anomalously high Na+ and low Li+ mobility in intercalated Na2Ti6O13

2017 ◽  
Vol 19 (15) ◽  
pp. 10036-10041 ◽  
Author(s):  
Chen Ling ◽  
Ruigang Zhang
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Behavior

We report an anomalous diffusion behavior in intercalated Na2Ti6O13.

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