An Analytical Solution for Variable Viscosity Flow in Fractured Media: Development and Comparative Analysis With Numerical Simulations

Younes, Anis; RAJABI, Mohammadmahdi; Rezaiezadeh Roukerd, Fatemeh; Fahs, Marwan

doi:10.1029/2023WR035741

Article (Scientific journals)

An Analytical Solution for Variable Viscosity Flow in Fractured Media: Development and Comparative Analysis With Numerical Simulations

Younes, Anis; RAJABI, Mohammadmahdi; Rezaiezadeh Roukerd, Fatemeh et al.

2024 • In Water Resources Research, 60 (3)

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https://hdl.handle.net/10993/64373

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10.1029/2023WR035741

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Keywords :

analytical solution; breakthrough curve; explicit fracture model; fractured rocks; Markov chain Monte Carlo; tracer transport; Analytical solution; Breakthrough curve; Explicit fracture model; Fracture model; Fractured media; Fractured rock; Markov Chain Monte-Carlo; Tracer transport; Variable viscosity; Water Science and Technology

Abstract :

[en] Explicit fracture models often use analytical solutions for predicting flow in fractured media, usually assuming uniform fluid viscosity for simplicity. This assumption, however, can be inaccurate as fluid viscosity varies due to factors like composition, temperature, and dissolved substances. Our study, recognizing these discrepancies, abandons this uniform viscosity assumption for a more realistic model of variable viscosity flow, focusing on viscous displacement scenarios. This includes instances like injecting viscous surfactants for hydrocarbon recovery in fractured reservoirs or soil decontamination. This presents a significant challenge, enhancing our understanding of transport within fractures, mainly governed by advection. Our study centers on a low-permeability rock matrix intersected by two fractures with variable apertures. We employ two methods: an analytical approach with a new solution and numerical simulations with two distinct in-house codes, discretizing both the rock matrix and fractures with two-dimensional triangular elements. The first code uses a Discontinuous Galerkin finite element method, while the second utilizes a finite-volume method, allowing a comprehensive comparison of solutions. Additionally, we investigate parameter identifiability, like fracture apertures and viscosity ratios, using breakthrough curves from our analytical solution, applying the Markov Chain Monte Carlo technique.

Disciplines :

Civil engineering

Author, co-author :

Younes, Anis ; ITES, University of Strasbourg, CNRS, ENGEES, Strasbourg, France

RAJABI, Mohammadmahdi ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) ; Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

Rezaiezadeh Roukerd, Fatemeh; Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

Fahs, Marwan ; ITES, University of Strasbourg, CNRS, ENGEES, Strasbourg, France

External co-authors :

yes

Language :

English

Title :

An Analytical Solution for Variable Viscosity Flow in Fractured Media: Development and Comparative Analysis With Numerical Simulations

Publication date :

March 2024

Journal title :

Water Resources Research

ISSN :

0043-1397

eISSN :

1944-7973

Publisher :

John Wiley and Sons Inc

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

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https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2023WR035741

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