4.7 Article

Flow topology and scalar mixing in spatially heterogeneous flow fields

期刊

GEOPHYSICAL RESEARCH LETTERS
卷 39, 期 -, 页码 -

出版社

AMER GEOPHYSICAL UNION
DOI: 10.1029/2012GL051302

关键词

-

资金

  1. Spanish Juan de la Cierva
  2. Spanish Ministry of Economy and Competitivity (MINECO) [CGL2010-18450]
  3. German Research Foundation (DFG) through the Cluster of Excellence in Simulation Technology [EXC310/1]
  4. German Research Foundation (DFG) through the International Research Training Group 'NUPUS' [IRTG 1398]

向作者/读者索取更多资源

Scalar mixing plays a significant role for transport in geophysical flows because it controls dilution and is a main driver for many chemical reactions. Here we study the local scale flow mechanisms that lead to enhanced scalar mixing, and how they impact on the global mixing behavior. Mixing is quantified in terms of the entropy of the scalar distribution. It is shown that the evolution of entropy is directly linked to the flow topology in terms of the Okubo-Weiss parameter Theta. Dominant shear and stretching deformation (Theta > 0) leads to a strong increase of local mixing strength, while dominant vorticity (Theta < 0) has only a minor impact. This allows to delineate regions of increased scalar mixing potential by mapping out the spatial distribution of Theta(x), and to relate global scalar mixing to an areal averaged effective Okubo-Weiss measure. Citation: de Barros, F. P. J., M. Dentz, J. Koch, and W. Nowak (2012), Flow topology and scalar mixing in spatially heterogeneous flow fields, Geophys. Res. Lett., 39, L08404, doi:10.1029/2012GL051302.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Engineering, Chemical

Pore-scale Transport in Rocks of Different Complexity Modeled by Random Walk Methods

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 Mechanics

Experimental evaluation and uncertainty quantification for a fractional viscoelastic model of salt concrete

Matthias Hinze, Sinan Xiao, Andre Schmidt, Wolfgang Nowak

Summary: This study evaluates and analyzes creep testing results on M2 salt concrete and determines the parameters of the fractional viscoelastic constitutive law using the Bayesian inversion method for reliable prediction of concrete behavior.

MECHANICS OF TIME-DEPENDENT MATERIALS (2023)

Article Engineering, Chemical

Upscaling Mixing-Controlled Reactions in Unsaturated Porous Media

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 Computer Science, Interdisciplinary Applications

The method of forced probabilities: a computation trick for Bayesian model evidence

Ishani Banerjee, Peter Walter, Anneli Guthke, Kevin G. Mumford, Wolfgang Nowak

Summary: Bayesian model selection ranks competing models by computing Bayesian Model Evidence (BME) against test data. Computing BME can be problematic, and we propose a method called the Method of Forced Probabilities (MFP) to address this issue. We demonstrate the effectiveness of our approach on simulating gas migration models.

COMPUTATIONAL GEOSCIENCES (2023)

Editorial Material Engineering, Chemical

Editorial to the Special Issue: Mixing in Porous Media

Marco Dentz, Daniel R. Lester, Michel F. M. Speetjens

TRANSPORT IN POROUS MEDIA (2023)

Article Environmental Sciences

Solute Trapping and the Mechanisms of Non-Fickian Transport in Partially Saturated Porous Media

Ilan Ben-Noah, J. J. Hidalgo, Joaquin Jimenez-Martinez, Marco Dentz

Summary: In this study, the upscaling of pore-scale solute transport in partially saturated porous media at different saturation degrees was investigated. It was found that the interaction between structural heterogeneity, phases distribution, and small-scale flow dynamics leads to complex flow patterns and broad probability distributions of flow. A continuous-time random walk (CTRW) framework was used to upscale and evaluate the transport of diluted solutes, and the results were compared to direct numerical simulations. The analysis showed that the fluid phase saturation, as well as the Peclet number, influenced the advective tortuosity, characteristic length, fraction of immobile region, mean trapping time, trapping length, and trapping frequency.

WATER RESOURCES RESEARCH (2023)

Article Environmental Sciences

Linear Stochastic Analysis of the Partial Reversibility of Ensemble and Effective Dispersion in Heterogeneous Porous Media

Marie-Madeleine Stettler, Marco Dentz, Olaf A. A. Cirpka

Summary: Macrodispersion in heterogeneous formations is caused by spatial variability of the velocity field. Differential advection interacts with diffusion to determine effective dispersion, while pure advection is reversible and diffusion is irreversible. We found that the reversibility of macrodispersion is bigger for ensemble dispersion than for effective dispersion, challenging the use of the latter as a metric of mixing.

WATER RESOURCES RESEARCH (2023)

Article Computer Science, Interdisciplinary Applications

Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark

Rebecca Kohlhaas, Ilja Kroeker, Sergey Oladyshkin, Wolfgang Nowak

Summary: Surrogate models are widely used to improve computational efficiency in geophysical simulation problems. Existing multi-resolution PCE is a global representation that cannot estimate the uncertainty of the resulting surrogate. We propose combining multi-resolution PCE and GPE to correct surrogate bias and assess its uncertainty, resulting in a more stable emulator compared to GPE.

COMPUTATIONAL GEOSCIENCES (2023)

Article Environmental Sciences

Under What Conditions Does Transverse Macrodispersion Exist in Groundwater Flow?

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 Environmental Sciences

Bayesian Calibration Points to Misconceptions in Three-Dimensional Hydrodynamic Reservoir Modeling

Sebastian Schwindt, Sergio Callau Medrano, Kilian Mouris, Felix Beckers, Stefan Haun, Wolfgang Nowak, Silke Wieprecht, Sergey Oladyshkin

Summary: This study investigates the use of Bayesian calibration to identify faulty model setups and parameter combinations. Bayesian calibration utilizes a Gaussian process emulator as a surrogate model, which is faster than the actual numerical model. The results show that Bayesian calibration can describe the quality of calibration and correctness of model assumptions through geometric characteristics of posterior distributions.

WATER RESOURCES RESEARCH (2023)

Article Physics, Fluids & Plasmas

Numerical modeling of dispersion of swimming bacteria in a Poiseuille flow

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)

Editorial Material Energy & Fuels

Opportunities and challenges in CO2 geologic utilization and storage

Liwei Zhang, Wolfgang Nowak, Sergey Oladyshkin, Yan Wang, Jianchao Cai

Summary: CO2 geological utilization and storage is an effective approach to reduce anthropogenic CO2 emissions. Recent advancements in modeling concepts, experimental approaches, safety assurance, and emerging technologies have driven the development of CO2 geological utilization and storage. A Sino-German joint symposium was organized to encourage global communication and collaboration in this field, bringing together experts from China, Germany, and other countries.

ADVANCES IN GEO-ENERGY RESEARCH (2023)

Article Environmental Sciences

Information-Theoretic Scores for Bayesian Model Selection and Similarity Analysis: Concept and Application to a Groundwater Problem

Maria Fernanda Morales Oreamuno, Sergey Oladyshkin, Wolfgang Nowak

Summary: Bayesian model selection (BMS) and Bayesian model justifiability analysis (BMJ) provide a statistically rigorous framework for comparing competing models using Bayesian model evidence (BME). However, BME-based analysis has limitations in accounting for a model's predictive performance after calibration and in comparing models using different calibration subsets. To address these limitations, we propose augmenting BMS and BMJ analyses with information-theoretic measures such as expected log-predictive density (ELPD), relative entropy (RE), and information entropy (IE). We demonstrate how these measures, alongside BME, enhance the understanding of the Bayesian updating process and enable objective model comparison using different calibration datasets.

WATER RESOURCES RESEARCH (2023)

Article Environmental Sciences

Stochastic Dynamics of Two-Dimensional Particle Motion in Darcy-Scale Heterogeneous Porous Media

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 Computer Science, Information Systems

Using Surrogate Models and Data Assimilation for Efficient Mobile Simulations

Christoph Dibak, Wolfgang Nowak, Frank Duerr, Kurt Rothermel

Summary: Numerical simulations on mobile devices are important for engineers and decision makers, but providing simulation results is challenging due to complexity and limited resources. This article presents an optimized approach using surrogate models and data assimilation to reduce communication overhead. Evaluation shows that the approach is 6.5 times faster than streaming from the server.

IEEE TRANSACTIONS ON MOBILE COMPUTING (2023)

暂无数据