Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media

Cotta, Renato M.; Lisbôa, Kleber Marques; Zotin, José Luiz Zanon

doi:10.1016/j.advwatres.2020.103621

Cited by 10 publications

(8 citation statements)

References 58 publications

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“…5 of 21 of environmental flows such as the ones occurring in fluvial systems and porous-fractured media (e.g., Bonazzi et al, 2021;Cotta et al, 2020;de Barros & Cotta, 2007;Ling et al, 2021;Rubol et al, 2016).…”

Section: Semi-analytical Solution For the Flow Fieldmentioning

confidence: 99%

Hyporheic Flows in Stratified Sediments: Implications on Residence Time Distributions

Marzadri,

Ciriello,

de Barros

2024

Water Resources Research

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The fate of nutrients and contaminants in fluvial ecosystems is strongly affected by the mixing dynamics between surface water and groundwater within the hyporheic zone, depending on the combination of the sediment's hydraulic heterogeneity and dune morphology. This study examines the effects of hydraulic conductivity stratification on steady‐state, two‐dimensional, hyporheic flows and solute residence time distribution. First, we derive an integral transform‐based semi‐analytical solution for the flow field, capable of accounting for the effects of any functional shape of the vertically varying hydraulic conductivity. The solution considers the uneven distribution of pressure at the water‐sediment interface (i.e., the pumping process) dictated by the presence of dune morphology. We then simulate solute transport using particle tracking. Our modeling framework is validated against numerical and tracer data from flume experiments and used to explore the implication of hydraulic conductivity stratification on the statistics and pdf of the residence time. Finally, reduced‐order models are used to enlighten the dependence of key residence time statistics on the parameters characterizing the hydraulic conductivity stratification.

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Section: Semi-analytical Solution For the Flow Fieldmentioning

confidence: 99%

Hyporheic Flows in Stratified Sediments: Implications on Residence Time Distributions

Marzadri,

Ciriello,

de Barros

2024

Water Resources Research

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“…Temperature and concentration have an impact on the rate of a chemical reaction. Reference 31 , 32 shows that temperature and concentration are also related to permeability. It is widely accepted that the response of the sensor is directly related to the surface reaction 33 and surface permeability 34 .…”

Section: Sensing Principlementioning

confidence: 99%

“…Essentially, this means that we treat porous particles as uniform plates containing fluid and catalyst. Instead, porosity is adopted to model the fluid, and its useful transport characteristics depend on the porosity and tortuosity of the particles 31 , 32 . The homogenization model shows in Fig.…”

Section: Design Of Chemical Reaction Engineering Modulementioning

confidence: 99%

Simulation of gas sensing mechanism of porous metal oxide semiconductor sensor based on finite element analysis

Zhang

Wang

2021

Sci Rep

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In recent years, finite element analysis is increasingly adopted to simulate the mechanism of metal oxide semiconductor (MOS) resistive gas sensors. In this article, the chemical reaction engineering module in the COMSOL Multiphysics tool is used to describe the dynamic equilibrium process of oxygen ions in the sensor. The boundary conditions of temperature transfer, conductivity model, and mass transfer are applied to simulate the convection, diffusion, and penetration processes. The response of the sensor at different temperatures (445 K–521 K) and different target gas concentrations (1–500 ppm) is simulated. In this paper, the dynamic model of oxygen ions is used creatively as a bridge between gas concentration and sensor response instead of the traditional direct parameter fitting method. The simulated result of the surface oxygen ion control and permeability control model of the MOS gas sensor shows a good agreement with the real sensor. For explaining the principle of metal oxide semiconductor gas sensors simulations has been performed on COMSOL Multiphysics software. The proposed method in this paper is based on the underlying transfer logic of the sensor signal, it is expected to predict the sensor signal and assist the sensor design.

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“…Previous studies have revealed that the presence of discrete fractures has significant influence on characteristics of fractured porous media (Berkowitz, 2002;Adler et al, 2013;Wang et al, 2020). However, modeling of flow and transport in fractured porous media raises numerical challenges in geoscience applications (Cotta et al, 2020;Medici et al, 2021;Wang et al, 2022). In the community of geological modeling, there are two main categories of the computational model, namely the discrete fracture model (DFM) (Aliouache et al, 2019;Wang et al, 2022) and the equivalent continuum model (Kottwitz et al, 2021;Lasseux et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media

Wang¹,

Golfier²,

Tinet³

et al. 2022

Advances in Water Resources

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Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media

Cited by 10 publications

References 58 publications

Hyporheic Flows in Stratified Sediments: Implications on Residence Time Distributions

Hyporheic Flows in Stratified Sediments: Implications on Residence Time Distributions

Simulation of gas sensing mechanism of porous metal oxide semiconductor sensor based on finite element analysis

An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media

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