Application of the transformation of variables technique for uncertainty mapping in nonlinear filtering

2014 ◽  
Vol 118 (2) ◽  
pp. 129-164 ◽  
Author(s):  
R. M. Weisman ◽  
M. Majji ◽  
K. T. Alfriend
Keyword(s):  
Nonlinear Filtering ◽  
Uncertainty Mapping ◽  
Transformation Of Variables

A SIMPLIFIED NONLINEAR FILTERING

1981 ◽  
Vol 1 (3-4) ◽  
pp. 313-324
Author(s):  
Zu-Rong Wang
Keyword(s):  
Nonlinear Filtering

Chemical Transport Facilitated by Multiphase Flow Systems1

1985 ◽  
Vol 17 (9) ◽  
pp. 1-12 ◽  
Author(s):  
Carl G. Enfield
Keyword(s):  
Organic Carbon ◽  
Boundary Conditions ◽  
Transport Equation ◽  
Fluid Phase ◽  
Chemical Transport ◽  
Facilitated Transport ◽  
Organic Fraction ◽  
Dispersive Transport ◽  
Transformation Of Variables ◽  
The Impact

Relatively immobile chemicals have been observed moving significantly faster than anticipated from hydrophobic theory. A theory is developed considering transport in three mobile fluid phases which can be used to describe this facilitated transport. The convective dispersive transport equation is solved utilizing a transformation of variables which permits utilizing existing solutions covering a wide variety of boundary conditions. The impact of the facilitated transport is demonstrated for one case where the soils organic carbon is 10%. If 2% of the fluid phase is an organic fraction, the theory developed projects that hydrophobic theory may underestimate mobility by more than 100 times. At concentrations of dissolved organic carbon normally observed in nature (5 - 10 mg/l), a measurable increased mobility is anticipated for the very immobile compounds like dioxins.

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