Mathematical Modeling of Encapsulated Buffer Performance in Sand Columns

Theoretical Analysis of the Influence of Process Parameters on the Use of an Encapsulated Phosphate Buffer to Control pH in a Soil Column

“…Thus, the sensitivity of the model predictions as a function of various parameters for the three different scenarios is performed and is compared to the base case shown in Table 1. The primary source for the physical and chemical parameters in Table 1 was the article by Liu et al, [7] with some parameters slightly modified. The molecular weight of C was assumed to be 62 g/mol (that of nitrate).…”

“…Rust [12] performed experiments that were analyzed using the model developed by Liu et al [7] Because experiments can often be resource-intensive, a model's ability to estimate the process performance due to a change in an operating condition can be invaluable. Furthermore, it is also necessary to understand changes in the model predictions due to uncertainties in the process variables.…”

“…, Na þ , K þ , and compound C. An expression that described the rate of release of the encapsulated buffer core contents was developed earlier, [7] …”

“…The kinetic constant is a function of pH and can be described by, [7] p ¼ Àlog ¼ À0:25 þ 2:83 1 þ exp ðpH À 7:97Þ=ð0:36ÞÞ ð ð13Þ…”

“…They applied the model to a denitrifying suspended growth system. Liu et al [7] used a deterministic approach to describe the release kinetics of encapsulated core and developed a one-dimensional model that describes denitrification in a soil column. Although the pH rise was significant and pH control was demonstrated and predicted by the models in both denitrifying systems, there were no apparent benefits for the system investigated because nitrate removal was not enhanced.…”