Mathematical Modeling of Natural in Situ Bioremediation to Estimate Initial Contaminant Concentration Effect

Mathematical modeling the effect of catalyst initial shape and the crack pattern in olefin copolymerization

A two-dimensional (2D) single particle model for the copolymerization of propylene-ethylene with heterogeneous Ziegler-Natta catalyst is developed. The model accounts for the effects of the initial shape of the catalyst and carck/ pore patterns on the copolymer composition, polymerization rate and the average molecular weight properties. The spherical and oblate ellipsoidal shapes of catalyst p...

Mathematical modeling of bioremediation of trichloroethylene in aquifers

Trichloroethylene (TCE) is a very common contaminant of groundwater. It is used as an industrial solvent and is frequently poured into the soil. There exist bacteria that can degrade TCE. In contrast with most cases of bioremediation, the bacteria that degrade TCE do not use it as a carbon source. Instead the bacteria produce an enzyme to metabolize methane. This enzyme can degrade other organi...

Fuzzy Systems Modeling of In Situ Bioremediation of Chlorinated Solvents

The full-scale in situ bioremediation demonstration conducted at DOE’s Savannah River Site revealed a wide range of spatial and temporal variations of concentrations of VOCs, enzymes, and biomass in groundwater and vadose zone monitoring boreholes over the field site. One of the powerful modern approaches to analyze uncertain and imprecise data is based on the use of methods of fuzzy systems mo...

mathematical modeling the effect of catalyst initial shape and the crack pattern in olefin copolymerization

a two-dimensional (2d) single particle model for the copolymerization of propylene-ethylene with heterogeneous ziegler-natta catalyst is developed. the model accounts for the effects of the initial shape of the catalyst and carck/ pore patterns on the copolymer composition, polymerization rate and the average molecular weight properties. the spherical and oblate ellipsoidal shapes of catalyst p...

In Situ Bioremediation of Trichloroethylene

Volatile organic compounds (VOC) are present at over two-thirds of Superfund, Resource Conservation and Recovery Act of 1976 (RCRA), and U.S. Department of Defense sites (EPA 1996). Thus, remediation of VOCs is a top concern to the Environmental Protection Agency. Trichloroethylene (TCE) is a persistent VOC contaminant that infiltrates soil and ground water from improper disposal of dry cleanin...

Numerical Analysis of a Simple Mathematical Model to Design Bioremediation System in Rhizosphere