Abstract
Mathematical modelling of in situ (on site) bioremediation of crude petroleum polluted soil was investigated. An unsteady state mathematical model based on bulk flow of oil through the soil and molecular diffusion through the pores of the soil was developed. The parabolic partial differential equation developed was resolved into a system of ordinary differential equations (ODEs) by orthogonal collocation method and the necessary boundary condition was used. The resultant system of ODE was solved using fourth-order Runge-Kutta method. The simulated data gave a good agreement with experimental data.
Highlights
One of the major concerns of oil industry today is how to improve the recovery of large percentage of oil remaining unrecovered in the old and new depleted producing fields
The arts and crafts of mathematical modelling are exhibited in the construction of models that are consistent in themselves and mirror the behaviours of their prototype, but serve some exterior purpose
The methods used for this study are listed below: (i) Conversion of variables to dimensionless form. (ii) Discretion of model
Summary
One of the major concerns of oil industry today is how to improve the recovery of large percentage of oil remaining unrecovered in the old and new depleted producing fields. Release of hydrocarbons into the environment whether accidentally or due to human activities is a main cause of water and soil pollution [4]. This is one of the major environmental problems today resulting from the activities of the petrochemical industry. Among the many techniques employed to decontaminate the affected sites, in situ bioremediation using indigenous microorganisms is by far the most widely used [7,8,9,10,11,12] This approach to reclaiming contaminated land reduces the threat to groundwater and enhances the rate of biodegradation [13]. The arts and crafts of mathematical modelling are exhibited in the construction of models that are consistent in themselves and mirror the behaviours of their prototype, but serve some exterior purpose
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