Article
Water Resources
Martin Dugstad, Kundan Kumar
Summary: In this study, a series of reduced models with small parameter ε as the limit are derived using formal asymptotic approach, including new models in hybrid-dimensional setting and models exhibiting two-scale behavior. Numerical examples are provided to confirm the theoretical derivations and gain additional insight.
ADVANCES IN WATER RESOURCES
(2022)
Article
Computer Science, Interdisciplinary Applications
Federico Municchi, Nicodemo Di Pasquale, Marco Dentz, Matteo Icardi
Summary: The study implements the MRMT model in OPENFOAM library for mobile-immobile transport in porous media. The model is flexible for spatial variation and has been verified and tested on different permeability fields, showing the significant role of heterogeneity in mass transfer.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Water Resources
Luyu Wang, Fabrice Golfier, Anne-Julie Tinet, Weizhong Chen, Cornelis Vuik
Summary: This study investigates the numerical method and equivalent continuum approach for fluid flow in fractured porous media. By developing an efficient implicit scheme and utilizing an improved equivalent continuum approach, the proposed numerical scheme improves convergence condition and computational efficiency, and successfully simulates fluid flow in fracture networks with complex geometry.
ADVANCES IN WATER RESOURCES
(2022)
Review
Engineering, Environmental
Xiaoying Zhang, Funing Ma, Zhenxue Dai, Ju Wang, Liang Chen, Hui Ling, Mohamad Reza Soltanian
Summary: This study focuses on the significant progress achieved in radionuclide transport in fractured rocks for geological disposal of high-level radioactive waste. It emphasizes the importance of accurately constrained transport models and discusses various issues in transport modeling, including parameter determination and upscaling. The paper provides valuable insights into radionuclide transport behavior and safety assessment for HLW repositories.
JOURNAL OF HAZARDOUS MATERIALS
(2022)
Article
Environmental Sciences
Sandro Andres, Marco Dentz, Luis Cueto-Felgueroso
Summary: This study investigates the nonequilibrium effects in coupled flow and deformation in fractured media, revealing the limitations of classical DPP formulations. It provides insights into the drainage and displacement scalings to be expected in highly heterogeneous fractured porous media and identifies expected behaviors regarding flow and deformation in fractured aquifers and reservoirs. The theoretical predictions from the multirate DPP model and high-fidelity models agree, even in highly heterogeneous matrix-fracture systems, accurately reproducing observed nonequilibrium effects.
WATER RESOURCES RESEARCH
(2021)
Review
Energy & Fuels
Xiaoying Zhang, Funing Ma, Shangxian Yin, Corey Wallace, Mohamad Reza Soltanian, Zhenxue Dai, Robert W. Ritzi, Ziqi Ma, Chuanjun Zhan, Xiaoshu Lu
Summary: The physical and biogeochemical heterogeneity in geological formations significantly impacts fluid flow and solute transport behaviors, making upscaling a valid approach for estimating large-scale parameters. Deterministic and stochastic are the two main categories of upscaling methodologies, with volume averaging being widely applicable and numerical solutions gaining popularity. The gap between approach algorithms and real-world applications calls for an integrated upscaling framework incorporating uncertainty quantification techniques, data sciences, and artificial intelligence for future geo-energy research.
Article
Engineering, Petroleum
Wenhui Song, Masa Prodanovic, Javier E. Santos, Jun Yao, Kai Zhang, Yongfei Yang
Summary: This study uses a physics-driven level set lattice Boltzmann method (LS-LBM)-coupled model to investigate the multiphase flow properties in complex fractures during injected water flowback and proposes the upscaled relative permeability models for induced fracture network (IFN) and hydraulic fracture (HF) with proppant. The results show that different aperture variation coefficients lead to various fluid expansion patterns in IFN and HF. Additionally, a upscaled relative permeability model is established considering channel tortuosity variation and pore structure difference.
Article
Water Resources
D. Hernandez, E. C. Herrera-Hernandez
Summary: This study presents different Generalized Double Porosity Models for anomalous fluid flow in fractured porous media and discusses their applications in transient production decline. It explores the effects of subdiffusive and superdiffusive flows in fracture networks, coupled with subdiffusive transport inside the matrix, and provides insights into identifying these types of flow in geological formations. Additionally, it discusses different interpretations of model parameters for estimating the length scales of system main heterogeneities and shows that superdiffusive flow regimes could result from highly heterogeneous porous systems with scale-free permeability distributions. Finally, it demonstrates that the use of non-local models discussed here allows for a novel way to construct effective single porosity models for describing double porosity systems over the long term.
ADVANCES IN WATER RESOURCES
(2021)
Article
Engineering, Geological
Alejandro Cardona, Carlos Santamarina
Summary: We studied immiscible imbibition in fractured rocks using dual porosity microfluidics and fluorescence microscopy. We found that the interplay between advection-dominant flow in fractures and capillary-driven matrix imbibition leads to different displacement patterns. Corner flow imbibition displaces non-wetting fluids trapped in the matrix during fast advective invasion. Fractures control the entry pressure, while the matrix determines storativity.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Feng Xiong, Hao Sun, Zuyang Ye, Qihua Zhang
Summary: In this study, an efficient solution based on the finite volume method is proposed for thermohydro coupling modeling in fractured porous media considering the nonlinear flow regime within fractures. The proposed method is validated through detailed predictions of nonlinear flow in single and intersecting fracture cases.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Engineering, Geological
Zhechao Wang, Jiafan Guo, Liping Qiao, Jie Liu, Wei Li
Summary: Matrix-fracture flow transfer is an important characteristic of flow in fractured porous media. Experiments and simulations were conducted to analyze matrix-fracture flow transfer in fractured porous media with regular and irregular fractures. The flow transfer rate showed a nonlinear increasing trend with increasing matrix-fracture pressure difference. The influence of heterogeneous pressure and inconsistent transfer direction varied with fracture aperture, fracture/matrix permeability ratio, trace length, and density.
ROCK MECHANICS AND ROCK ENGINEERING
(2022)
Article
Mathematics, Applied
Paola F. Antonietti, Jacopo De Ponti, Luca Formaggia, Anna Scotti
Summary: This work focuses on efficiently solving the system of equations derived from mimetic finite difference discretization of a hybrid-dimensional mixed Darcy problem in fractured porous media. By investigating the spectral properties and proposing an approximation of block factorization preconditioners, the convergence of iterative solvers applied to the resulting discrete system is accelerated. Numerical tests on significant three-dimensional cases confirm the effectiveness of the proposed preconditioners.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Engineering, Environmental
Funing Ma, Xiaoying Zhang, Chuanjun Zhan, Wei Chen, Linlin Qi, Zhenxue Dai
Summary: This study successfully bridges the gap between laboratory-scale measurements and field-scale simulations and provides important information for field-scale predictive modeling.
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
(2023)
Article
Engineering, Geological
Mohammad Komijani, Peter Wriggers, Taha Goudarzi
Summary: A novel mixed enriched finite element model is developed for coupled non-linear thermo-hydro-mechanical simulation of fractured porous media with three-phase flow and thermal coupling. Simulation of induced acoustic emission (AE) and microseismic emission (ME) due to tensile fracturing and shear slip instability of pre-existing fracture interfaces is carried out and the numerical results of the emitted signals are analyzed.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2023)
Article
Energy & Fuels
Daigang Wang, Yushan Ma, Kaoping Song, Jianwen Tao, Runfei Bao, Jing Zhang
Summary: Horizontal wells with complicated fracture networks are crucial for improving the oil recovery of low-permeability and tight reservoirs in China. This study developed a novel mathematical model and numerically solved it using the phase-field method to understand the oil replacement mechanism during spontaneous imbibition in fractured porous media. The effects of rock wettability, oil-water viscosity ratio, interfacial tension, and fracture network on oil imbibition recovery were explored. The findings provide important insights for the efficient development of similar reservoirs.
Article
Engineering, Chemical
Philippe Gouze, Alexandre Puyguiraud, Delphine Roubinet, Marco Dentz
Summary: This study investigates the pore-scale transport of a passive solute in three types of reservoir rocks with different heterogeneity characteristics. Two numerical modeling methods are used to compare the impact of pore-scale flow velocity distribution on large-scale transport behavior. Results show that the presence of numerical dispersion does not significantly affect the simulated large-scale transport compared to the impact of velocity fluctuations.
TRANSPORT IN POROUS MEDIA
(2023)
Article
Engineering, Chemical
Lazaro J. Perez, Alexandre Puyguiraud, Juan J. Hidalgo, Joaquin Jimenez-Martinez, Rishi Parashar, Marco Dentz
Summary: We study mixing-controlled chemical reactions in unsaturated porous media from a pore-scale perspective. The results show that there is a significant increase in reactive mixing for decreasing saturation, which is caused by the stronger heterogeneity of the water phase and flow field.
TRANSPORT IN POROUS MEDIA
(2023)
Article
Engineering, Chemical
Alessandra Bonazzi, Marco Dentz, Felipe P. J. de Barros
Summary: In this study, we investigate transport of an inert solute in multidimensional porous media and analyze the factors that impact solute mixing. We compare the probability distributions obtained from numerical simulations with the beta distribution and propose variable transformations to improve the fit at low concentrations. The results are validated against existing analytical solution for both homogeneous and heterogeneous media.
TRANSPORT IN POROUS MEDIA
(2023)
Article
Engineering, Chemical
Joaquim Soler-Sagarra, Jesus Carrera, Enrique Bonet, Carles Roig, Pablo Becker
Summary: This paper proposes a formulation based on the Water Mixing Approach to model solute transport in heterogeneous porous media. The formulation takes into account the scale dependence of dispersion and the separation of mixing from spreading. It introduces velocity as an independent variable, allowing concentration to depend on time, space, and velocity. The formulation, termed the Multi-Advective Water Mixing Approach, incorporates a new mixing term between velocity classes. Experimental results demonstrate the high accuracy of the formulation in both dispersion and mixing, with the mixing process exhibiting Markovianity in space despite being modeled in time.
TRANSPORT IN POROUS MEDIA
(2023)
Article
Engineering, Chemical
Marco Dentz, Juan J. Hidalgo, Daniel Lester
Summary: This review provides an overview of concepts and approaches for quantifying passive, non-reactive solute mixing in porous media flows. It discusses the interrelated processes of stirring, dispersion, and mixing, and reviews different methods to quantify them. The review also emphasizes the multiscale nature of mixing and its dependence on medium structure and flow conditions.
TRANSPORT IN POROUS MEDIA
(2023)
Editorial Material
Engineering, Chemical
Marco Dentz, Daniel R. Lester, Michel F. M. Speetjens
TRANSPORT IN POROUS MEDIA
(2023)
Article
Water Resources
Laurent Talon, Emma Ollivier-Triquet, Marco Dentz, Daniela Bauer
Summary: Transport processes in the subsurface are strongly influenced by the heterogeneity of the porous structure. The heterogeneity of the permeability field and exchange times have significant impacts on the transient and asymptotic transport regimes. A parametric study is conducted to investigate these impacts and a continuous time random walk (CTRW) model is developed to upscale the transport behaviors.
ADVANCES IN WATER RESOURCES
(2023)
Article
Green & Sustainable Science & Technology
D. Petrovskyy, C. Jacquemyn, S. Geiger, M. D. Jackson, J. D. Machado Silva, S. Judice, F. Rahman, M. Costa Sousa
Summary: Sketch-based interface and modelling is a rapid and intuitive approach to create 3D reservoir models for evaluating geological concepts and uncertainties. It improves the efficiency of reservoir modelling and simulation workflows by highlighting key uncertainties.
INTERNATIONAL JOURNAL OF GREENHOUSE GAS CONTROL
(2023)
Article
Engineering, Environmental
Daniel Gutierrez-Martin, Ruben Gil-Solsona, Maarten W. Saaltink, Valenti Rodellas, Rebeca Lopez-Serna, Albert Folch, Jesus Carrera, Pablo Gago-Ferrero
Summary: This study evaluates the presence and distribution of a wide range of chemicals of emerging concern (CECs) in a Mediterranean coastal aquifer near Barcelona, Spain, and identifies potential markers and tracers for anthropogenic contamination in groundwater and seawater. The results highlight the importance of submarine groundwater discharge as a source of CECs and suggest new approaches for studying the fate and transport of pollutants.
JOURNAL OF HAZARDOUS MATERIALS
(2023)
Article
Environmental Sciences
Daniel R. Lester, Marco Dentz, Prajwal Singh, Aditya Bandopadhyay
Summary: This study compares the transverse macrodispersion in porous media with different conductivity structures under purely advective transport. It is found that porous media with smooth, locally isotropic hydraulic conductivity exhibit zero transverse macrodispersion, while non-smooth or locally anisotropic conductivity fields can generate transverse macrodispersion. These findings provide insights into the mechanisms that govern transverse macrodispersion in groundwater flow.
WATER RESOURCES RESEARCH
(2023)
Article
Physics, Fluids & Plasmas
A. Ganesh, C. Douarche, M. Dentz, H. Auradou
Summary: This paper presents a numerical study on the dispersion of bacteria in a plane Poiseuille flow, modeling the bacteria as active Brownian ellipsoids. The longitudinal and transverse macroscopic dispersion coefficients are determined and their scaling with the Peclet number is studied. Three different regimes are observed: a Taylor dispersion regime at low shear rate, an intermediate active regime with increased longitudinal dispersion and decreased transverse dispersion, and a new Taylor regime with diffusivity determined by molecular diffusion coefficient. The active regime is shown to originate from the increased time taken by particles to diffuse across the channel gap, and the transition to the active regime is delayed by decreasing the channel height.
PHYSICAL REVIEW FLUIDS
(2023)
Article
Geosciences, Multidisciplinary
Marco Dentz, James W. Kirchner, Erwin Zehe, Brian Berkowitz
Summary: In this study, we investigate anomalous transport in a hydrological catchment system over a 36-year period at kilometer scales. Using spectral analysis, we examine the fluctuation scaling of long-term time series measurements of chloride, a natural passive tracer, for rainfall and runoff. The findings suggest that the scaling behavior can be described by a continuous time random walk (CTRW) based on a power-law distribution of transition times, indicating the presence of two distinct power-law regimes in the overall travel time distribution in the catchment. The CTRW framework provides a means to assess anomalous transport in catchments and its implications for water quality fluctuations.
GEOPHYSICAL RESEARCH LETTERS
(2023)
Article
Geosciences, Multidisciplinary
Ran Holtzman, Marco Dentz, Ramon Planet, Jordi Ortin
Summary: We develop a thermodynamic framework for quasistatic dissipative systems with multiple metastable states by utilizing the return-point memory of cyclic macroscopic trajectories. Using this framework, we analyze and quantify the energy dissipation during quasistatic fluid-fluid displacements in disordered media. Numerical computations reveal that energy dissipation in quasistatic displacements is primarily caused by abrupt changes in the fluid-fluid configuration between consecutive metastable states (Haines jumps), which depend on microstructure and gravity. Comparison with quasistatic experiments helps determine the relative importance of viscous dissipation.
GEOPHYSICAL RESEARCH LETTERS
(2023)
Article
Environmental Sciences
Aronne Dell'Oca, Marco Dentz
Summary: In this study, we focus on the upscaling and prediction of ensemble dispersion in two-dimensional heterogeneous porous media, specifically transverse dispersion. We investigate the stochastic dynamics of advective particles in the heterogeneous flow field and find that transverse dispersion exhibits ultraslow diffusion due to the solenoidal character of the flow field. By analyzing particle velocities and orientations through equidistant sampling along particle trajectories obtained from direct numerical simulations, we derive a stochastic model that combines correlated Gaussian noise for transverse motion and a spatial Markov model for particle speeds. We compare the model results with detailed numerical simulations in different heterogeneous porous media.
WATER RESOURCES RESEARCH
(2023)
Article
Geosciences, Multidisciplinary
Tybaud Goyetche, Maria Pool, Jesus Carrera, Marc Diego-Feliu, Laura Martinez Perez, Albert Folch, Linda Luquot
Summary: This study applies a simplified numerical methodology to analyze tidal response in a Mediterranean coastal aquifer, considering both hydraulic and mechanical effects. The results demonstrate that mechanical effects play a strong role in the aquifer's response to tides.
HYDROGEOLOGY JOURNAL
(2023)
