Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack

Fluid flow and transport processes in fractured porous media are of particular interest for geologists and in the material sciences. Here a systematic investigation is presented, dealing with a generic geometric set-up of a porous matrix with a crack. In such a combined porous medium/free fluid syst...

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Үндсэн зохиолч: Ekkehard Holzbecher
Формат: Өгүүллэг
Хэл сонгох:English
Хэвлэсэн: MDPI AG 2021-10-01
Цуврал:Fluids
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Онлайн хандалт:https://www.mdpi.com/2311-5521/6/10/358
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author Ekkehard Holzbecher
author_facet Ekkehard Holzbecher
author_sort Ekkehard Holzbecher
collection DOAJ
description Fluid flow and transport processes in fractured porous media are of particular interest for geologists and in the material sciences. Here a systematic investigation is presented, dealing with a generic geometric set-up of a porous matrix with a crack. In such a combined porous medium/free fluid system flow patterns have been examined frequently, while the resulting transport patterns have attracted less attention. Using numerical modeling with finite elements the problem is approached using a dimensionless formulation. With a reduced number of dimensionless parameter combinations (Darcy-, Peclet- and Reynolds-numbers) solution dependencies are examined in parametric sweeps. Breakthrough curves are fitted in comparison to those of 1D model approaches, yielding effective diffusivities and velocities. The computations reveal highest sensitivity concerning the angle between crack axis and flow direction, followed by the Peclet number and the crack axes ratio. As a dimensionless representation is used the results are scale independent. Thus, they deliver estimations concerning effective heat and solute transport parameters that can be relevant in all application fields.
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spelling doaj.art-25208e72f24d4296bf750679a060a6132023-11-22T18:12:41ZengMDPI AGFluids2311-55212021-10-0161035810.3390/fluids6100358Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a CrackEkkehard Holzbecher0Department of Applied Geosciences, German University of Technology in Oman (GUtech), Muscat 130, OmanFluid flow and transport processes in fractured porous media are of particular interest for geologists and in the material sciences. Here a systematic investigation is presented, dealing with a generic geometric set-up of a porous matrix with a crack. In such a combined porous medium/free fluid system flow patterns have been examined frequently, while the resulting transport patterns have attracted less attention. Using numerical modeling with finite elements the problem is approached using a dimensionless formulation. With a reduced number of dimensionless parameter combinations (Darcy-, Peclet- and Reynolds-numbers) solution dependencies are examined in parametric sweeps. Breakthrough curves are fitted in comparison to those of 1D model approaches, yielding effective diffusivities and velocities. The computations reveal highest sensitivity concerning the angle between crack axis and flow direction, followed by the Peclet number and the crack axes ratio. As a dimensionless representation is used the results are scale independent. Thus, they deliver estimations concerning effective heat and solute transport parameters that can be relevant in all application fields.https://www.mdpi.com/2311-5521/6/10/358porous mediacrackfree fluidsbreakthrough curves (btc)advection-diffusionplug flow
spellingShingle Ekkehard Holzbecher
Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
Fluids
porous media
crack
free fluids
breakthrough curves (btc)
advection-diffusion
plug flow
title Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
title_full Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
title_fullStr Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
title_full_unstemmed Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
title_short Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack
title_sort breakthrough investigation of advective and diffusive transport in a porous matrix with a crack
topic porous media
crack
free fluids
breakthrough curves (btc)
advection-diffusion
plug flow
url https://www.mdpi.com/2311-5521/6/10/358
work_keys_str_mv AT ekkehardholzbecher breakthroughinvestigationofadvectiveanddiffusivetransportinaporousmatrixwithacrack