TY - JOUR

T1 - Advective Trapping in the Flow Through Composite Heterogeneous Porous Media

AU - Hidalgo, Juan J.

AU - Neuweiler, Insa

AU - Dentz, Marco

N1 - Funding Information: Data used for producing the figures can be downloaded from digital.csic.es (https://digital.csic.es/handle/10261/255273) and by solving the respective equations. J.J.H. and M.D. acknowledge the support of the Spanish Research Agency (10.13039/501100011033), Spanish Ministry of Science through grants CEX2018-000794-S and HydroPore PID2019-106887GB-C31. J.J.H. acknowledges the support of the Spanish Research Agency (10.13039/501100011033), the Spanish Ministry of Science and Innovation and the European Social Fund “Investing in your future” through the “Ramón y Cajal” fellowship (RYC-2017-22300). The authors thank Prof. Aldo Fiori his comments on the paper.

PY - 2022/7

Y1 - 2022/7

N2 - We study the mechanisms of advective trapping in composite porous media that consist of circular inclusions of distributed hydraulic conductivity embedded in a high conductivity matrix. Advective trapping occurs when solute enters low velocity regions in the media. Transport is analyzed in terms of breakthrough curves measured at the outlet of the system. The curve’s peak behavior depends on the volume fraction occupied by the inclusions, while the tail behavior depends on the distribution of hydraulic conductivity values. In order to quantify the observed behaviors, we derive two equivalent upscaled transport models. First, we derive a Lagrangian trapping model using the continuous-time random walk framework that is parameterized in terms of volume fraction and the distribution of conductivities in the inclusions. Second, we establish a non-local partial differential equation for the mobile solute concentration by volume averaging of the microscale transport equation. We show the equivalence between the two models as well as (first-order) multirate mass transfer models. The upscaled approach parameterized by medium and flow properties captures all features of the observed solute breakthrough curves and sheds new light on the modeling of advective trapping in heterogeneous media.

AB - We study the mechanisms of advective trapping in composite porous media that consist of circular inclusions of distributed hydraulic conductivity embedded in a high conductivity matrix. Advective trapping occurs when solute enters low velocity regions in the media. Transport is analyzed in terms of breakthrough curves measured at the outlet of the system. The curve’s peak behavior depends on the volume fraction occupied by the inclusions, while the tail behavior depends on the distribution of hydraulic conductivity values. In order to quantify the observed behaviors, we derive two equivalent upscaled transport models. First, we derive a Lagrangian trapping model using the continuous-time random walk framework that is parameterized in terms of volume fraction and the distribution of conductivities in the inclusions. Second, we establish a non-local partial differential equation for the mobile solute concentration by volume averaging of the microscale transport equation. We show the equivalence between the two models as well as (first-order) multirate mass transfer models. The upscaled approach parameterized by medium and flow properties captures all features of the observed solute breakthrough curves and sheds new light on the modeling of advective trapping in heterogeneous media.

KW - Continuous-time random walks

KW - Multirate mass transfer

KW - Porous media

KW - Stochastic modeling

UR - http://www.scopus.com/inward/record.url?scp=85134716127&partnerID=8YFLogxK

U2 - 10.1007/s11242-022-01799-z

DO - 10.1007/s11242-022-01799-z

M3 - Article

AN - SCOPUS:85134716127

VL - 143

SP - 599

EP - 618

JO - Transport in porous media

JF - Transport in porous media

SN - 0169-3913

IS - 3

ER -