Enhanced and non-monotonic effective kinetics of solute pulses under michaelis–Menten reactions

Hubert, Antoine; Aquino, Tomás; Tabuteau, Hervé; Méheust, Yves; Borgne, Tanguy Le

doi:10.1016/j.advwatres.2020.103739

Cited by 7 publications

(7 citation statements)

References 46 publications

(58 reference statements)

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“…Equation (6) can also be expressed so as to highlight the role of concentration gradients associated with a given concentration in determining the value of the PDF. To this end, consider the harmonic average g h (c; t) of the concentration gradient magnitudes in Λ(c; t).…”

Section: Single-species Formulationmentioning

confidence: 99%

“…Quantifying the variability in solute concentrations in the subsurface is of primary importance to a large range of applications, including reactive transport modeling (e.g., [1]), characterizing the natural chemical signature of groundwater systems (e.g., [2]), and assessing human health risks associated with contaminant transport (e.g., [3]). In particular, when reaction rates depend nonlinearly on available concentrations, effective reaction rates can differ by orders of magnitude from reaction rates determined under well-mixed conditions [4][5][6][7]. In such cases, knowledge of mean concentrations is not sufficient 1 to predict overall reaction rates, which requires additional knowledge about the spatial variability of concentration values and local reaction rates.…”

Section: Introductionmentioning

confidence: 99%

“…Here, we consider a different reactive transport problem in which mixing does not act to bring segregated reactants into contact but rather to dilute a reactive plume. This system is relevant to a broad range of reactive transport problems [6,7], including situations where transported solute plumes react nonlinearly with a solid phase as they get diluted by mixing. This leads to new dynamics that fundamentally differ from what is known regarding mixing-limited reactions across diffusing or dispersing fronts [48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

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Dilution of Reactive Plumes: Evolution of Concentration Statistics Under Diffusion and Nonlinear Reaction

2022

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Concentration fields of solutes in porous media often exhibit large fluctuations, driven by physical and chemical heterogeneity from the pore to the Darcy scale. For many applications, ranging from reactive transport modeling to toxicology, the knowledge of mean concentrations is not sufficient, and quantifying concentration variability is necessary. The probability density function (PDF) of concentration quantifies the frequency of occurrence of concentration values throughout a spatial domain. While evolution equations and analytical solutions for the concentration PDF Highlights• We introduce a general framework quantifying the link between concentration PDFs and spatial concentration profiles.• We derive a dynamical equation for the evolution of the concentration PDF under diffusion and nonlinear reaction in 1D.• We derive analytical predictions for the concentration PDF and its moments using a weakcoupling approximation.

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Section: Single-species Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dilution of Reactive Plumes: Evolution of Concentration Statistics Under Diffusion and Nonlinear Reaction

2022

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“…The derivation involves the so called Michaelis-Menten kinetics. The Michaelis-Menten kinetics itself has been widely recognised in chemistry for reaction problems [1,2,3,4,5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Some Numerical and Analytical Solutions to an Enzyme-Substrate Reaction-Diffusion Problem

Mungkasi

2020

2020 3rd International Seminar on Research of Information Technology and Intelligent Systems (ISRITI)

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“…The observations that a large 𝐶 0 and transport dominated by diffusion (i.e. low advection velocity) leads to enhanced biodegradation under spatially heterogeneous concentrations has also been made by Hubert et al (2020), for reactions in a bulk fluid.…”

Section: Role Of Mixing In Biodegraded Fraction Outcomesmentioning

confidence: 82%

Managed aquifer recharge with marginal water for irrigation and contaminant attenuation

Tang¹

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Managed aquifer recharge with marginal water allows for contaminants of emerging concern (CECs) to be attenuated in-situ, and for water to be more efficiently used. In phreatic aquifers underlying agricultural fields, this also increases water availability for crops. Existing drainage systems may be adapted for both injection (subirrigation) and extraction (drainage). We address subirrigation with treated domestic wastewater by considering numerical simulations and an experimental field site implemented as a proofof-concept. The transport, adsorption, and biodegradation of tracers, and relatively mobile and persistent CECs (using carbamazepine as an example), are analyzed. For this scenario, almost all non-biodegraded solutes irrigated into the soil are advected laterally towards surface water channels by regional groundwater flow. During the crop season, tracers may rise to the root zone, but only directly above irrigation drains. Accordingly, although up to 10% of tracers irrigated over four years are passively taken up by crops, this is concentrated in the plants situated directly above irrigation drains. No significant spreading of carbamazepine to the root zone occurs, and <1% of the total irrigated amount is taken up by crops after four years. Due to the annual precipitation surplus, solutes that are not very mobile are unlikely to enter the root zone even after decades of irrigation, because the length of the short-term precipitation shortage (crop season) is insufficient for them to rise to the root zone. Furthermore, carbamazepine biodegrades almost completely before being advected any significant distance from the drains. As carbamazepine is a relatively mobile and persistent CEC, the risks of crop, soil and surface water contamination by most other CECs is even smaller. The fraction of the irrigated CEC mass that seeps into surface water channels from the phreatic aquifer decreases exponentially with the distance between the agricultural plot and the channel, and increases exponentially with the agricultural plot width. Thus, the studied subsurface wastewater irrigation system reduces the environmental impacts of marginal water discharge and agricultural water use, with minimal risk of crop and environmental contamination.

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Enhanced and non-monotonic effective kinetics of solute pulses under michaelis–Menten reactions

Cited by 7 publications

References 46 publications

Dilution of Reactive Plumes: Evolution of Concentration Statistics Under Diffusion and Nonlinear Reaction

Dilution of Reactive Plumes: Evolution of Concentration Statistics Under Diffusion and Nonlinear Reaction

Some Numerical and Analytical Solutions to an Enzyme-Substrate Reaction-Diffusion Problem

Managed aquifer recharge with marginal water for irrigation and contaminant attenuation

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