A fast explicit finite difference method for determination of wellhead injection pressure

2012 ◽  
Vol 19 (11) ◽  
pp. 3266-3272 ◽  
Author(s):  
Bing Bai ◽  
Xiao-chun Li ◽  
Ming-ze Liu ◽  
Lu Shi ◽  
Qi Li
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Injection Pressure ◽  
Explicit Finite Difference ◽  
Explicit Finite Difference Method

Determination of effective oxygen diffusivity in biofilms grown in a completely mixed biodrum reactor

1994 ◽  
Vol 29 (10-11) ◽  
pp. 455-462 ◽  
Author(s):  
Y.-C. Fu ◽  
T. C. Zhang ◽  
P. L. Bishop
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Unsteady State ◽  
The Past ◽  
Oxygen Diffusivity ◽  
Oxygen Microelectrodes ◽  
State Variation ◽  
Explicit Finite Difference ◽  
Explicit Finite Difference Method

Direct measurement of unsteady-state variation of oxygen concentrations inside deactivated biofilm at intervals of 100 μm was conducted with oxygen microelectrodes. The diffusivity of each layer was estimated using an explicit finite-difference method. The results show that the distribution of the biofilm effective oxygen diffusivity varies from 25% Dw at the substratum of the biofilm to 90% Dw at the surface of the biofilm. This information provides experimental evidence necessary for biofilm modelling that could not be approached in the past, and will create a new dimension for evaluation of biofilm processes.

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