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The reacting system is analyzed without resorting to the kinetic steady state hypothesis, thus allowing the computation of concentration profiles for the intermediate activated species.
The main assumption was using a quasi steady state hypothesis, that states that the characteristic diffusion time over one single fracture is negligible compared with the characteristic time of the macroscopic problem, e.g. change of boundary conditions.
This paper is concerned with the effect of neglecting certain chemical species on the stability of a stirred tank chemical reactor as is done when one assumes the steady state hypothesis in chemical kinetics.
The steady state hypothesis is used.
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The simplifications were based on the pseudo-steady state hypothesis for the fluid phase.
When the quasi-steady state hypothesis is introduced for the live polymers, direct integration of the model equations gives rise to extremely simple expressions for the molecular weight averages.
The interporosity flow function, constant shape factors and time-varying shape factors considering threshold pressure in one, two and three dimensional fractures are derived for low permeability fractured reservoirs under no pseudo-steady state hypothesis.
The defects of the interporosity flow function and shape factors mostly are generated under the pseudo-steady state hypothesis, in which no-linear pressure gradients in the matrix cannot be accurately captured.
On average, nitrogen and carbon balances closed to 70%and88%8%, respectively, and experimental data were consistent with the assumed biochemistry and the pseudo-steady state hypothesis (see Methods).
In all cases, the pseudo-steady state hypothesis on intracellular metabolites was assumed, since extracellular metabolite profiles were approximately linear during the initial 48h to 72h productive phase after infection.
Under conditions where the steady-state hypothesis applies, estimates of these sensitivities can be obtained analytically.
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