Upscaling bimolecular reactive transport in highly heterogeneous porous media with the LAgrangian Transport Eulerian Reaction Spatial (LATERS) Markov model

2021 ◽  
Author(s):  
Elise E. Wright ◽  
Nicole L. Sund ◽  
David H. Richter ◽  
Giovanni M. Porta ◽  
Diogo Bolster
Keyword(s):  
Porous Media ◽  
Markov Model ◽  
Reactive Transport ◽  
Heterogeneous Porous Media ◽  
Lagrangian Transport

scholarly journals A Lagrangian Transport Eulerian Reaction Spatial (LATERS) Markov Model for Prediction of Effective Bimolecular Reactive Transport

2017 ◽  
Vol 53 (11) ◽  
pp. 9040-9058 ◽  
Author(s):  
Nicole Sund ◽  
Giovanni Porta ◽  
Diogo Bolster ◽  
Rishi Parashar
Keyword(s):  
Markov Model ◽  
Reactive Transport ◽  
Lagrangian Transport

Lagrangian models of reactive transport in heterogeneous porous media with uncertain properties

2011 ◽  
Vol 468 (2140) ◽  
pp. 1154-1174 ◽  
Author(s):  
G. Severino ◽  
D. M. Tartakovsky ◽  
G. Srinivasan ◽  
H. Viswanathan
Keyword(s):  
Porous Media ◽  
Reactive Transport ◽  
Three Dimensional ◽  
Chemical Properties ◽  
Parametric Uncertainty ◽  
Bimolecular Reaction ◽  
Breakthrough Curves ◽  
Heterogeneous Porous Media ◽  
Advective Transport ◽  
Transport Parameters

We consider multi-component reactive transport in heterogeneous porous media with uncertain hydraulic and chemical properties. This parametric uncertainty is quantified by treating relevant flow and transport parameters as random fields, which renders the governing equations stochastic. We adopt a stochastic Lagrangian framework to replace a three-dimensional advection–reaction transport equation with a one-dimensional equation for solute travel times. We derive approximate expressions for breakthrough curves and their temporal moments. To illustrate our general theory, we consider advective transport of dissolved species undergoing an irreversible bimolecular reaction.

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