In-situ bio-remediation is a viable cleanup alternative for aquifers contaminated by hydrocarbons such as BTEX. Transport models of varying complexity and capabilities are used to quantify their degradation. A model that has gained wide acceptance in applications is BIOPLUME II, which assumes that oxygen-limited biodegradation takes place as an instantaneous reaction. In this work we have employed theoretical analysis, using non-dimensional variables, and numerical modelling to establish a quantitative criterion demarcating the range of validity of the instantaneous reaction approximation against biodegradation kinetics. Oxygen was the limiting species and sorption was ignored. This criterion relates <Da>(o), the Dahmköhler number at oxygen depletion, to O(o)*, the ratio of initial to input oxygen concentration, <Da>(o) > or = 0.7(O(o)*)(2) + 0.1O(o)* + 1.8. The derived <Da>(o) reflects the intrinsic characteristics of the physical transport and of the biochemical reaction, including the effect of biomass density. Relative availability of oxygen and hydrocarbons exerts a small influence on results. Theory, verified and refined via numerical simulations, showed that significant deviations of instantaneous reactions from kinetics are to be expected in the space-time region s<L(d), t<T(d) ('near source' and 'initial period'). Under the assumptions considered, numerical simulations also verified the wide applicability of the computationally efficient, stoichiometry-based (algebraic) BIOPLUME concept. Kinetic modelling is required only in active (engineered) bio-remediation cases, with high velocities (e.g., near pumped wells), and for short distances from the source.
Copyright 2002 Elsevier Science B.V.