Bd. Wood et al., EFFECTS OF MICROBIAL METABOLIC LAG IN CONTAMINANT TRANSPORT AND BIODEGRADATION MODELING, Water resources research, 31(3), 1995, pp. 553-563
A model is introduced for microbial kinetics in porous media that incl
udes effects of transients in the metabolic activity of subsurface mic
roorganisms. The model represents the microbial metabolic activity as
a functional of the history of aqueous phase substrates; this dependen
ce is represented as a temporally nonlocal convolution integral. Conce
ptually, this convolution represents the activity of a microbial compo
nent as a fraction of its maximum activity, and it is conventionally k
nown as the metabolic potential. The metabolic potential is used to sc
ale the kinetic expressions to account for the metabolic state of the
organisms and allows the representation of delayed response in the mic
robial kinetic equations. Calculation of the convolution requires the
definition of a memory (or kernel) function that upon integration over
the substrate history represents the microbial metabolic response. A
simple piecewise-linear metabolic potential functional is developed he
re; however, the approach can be generalized to fit the observed behav
ior of specific systems of interest. The convolution that results from
the general form of this model is nonlinear; these nonlinearities are
handled by using two separate memory functions and by scaling the dom
ains of the convolution integrals. The model is applied to describe th
e aerobic degradation of benzene in saturated porous media. Comparativ
e simulations show that metabolic lag can be used to consistently desc
ribe observations and that a convolution form can effectively represen
t microbial lag for this system. Simulations also show that disregardi
ng metabolic lag when it exists can lead to overestimation of the amou
nt of substrate degraded.