Mathematical Formulations Of Water Mixing For Reactive Transport Through Heterogeneous Media
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Mathematical Formulations Of Water Mixing For Reactive Transport Through Heterogeneous Media
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Author : Joaquim Soler Sagarra
language : en
Publisher:
Release Date : 2020
Mathematical Formulations Of Water Mixing For Reactive Transport Through Heterogeneous Media written by Joaquim Soler Sagarra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
The study of transport of reacting solute through aquifers is relevant in many engineering fields. Reactive transport (RT) is complex because it consists of two phenomena, solute transport and chemical reactions, both of which are affected by heterogeneity. Because of this complexity, RT is solved by using numerical methods obtained from mathematical formulations. This thesis seeks to improve these mathematical formulations for RT and, specifically, to (a) provide a formulation that recognizes the heterogeneity of transport and chemistry at different scales and (b) improve the algorithms to solve RT. The thesis proposes using water exchange to describe mixing, which controls fast chemical reactions. This choice leads to a family of formulations. The Water Mixing Approach (WMA) is initially proposed as an efficient formulation equivalent to the Advection Dispersion equation (ADE). Multi-Rate Water Mixing (MRWM) is employed to account explicitly for chemical heterogeneity. Finally, the Multi-Advective Water Mixing Approach (MAWMA) allows distinguishing between dispersion, driven by hydraulic heterogeneity, and mixing, driven by both hydraulic heterogeneity and diffusion. In all these formulations, the entire transport phenomenon may be modeled as water processes. This implies that solute concentration becomes an attribute of water, exclusively relevant for chemical phenomena that become decoupled from transport. The accuracy of these formulations is tested in several cases.
Exposure Time Formulation For Reactive Transport
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Author : Deviyani Gurung
language : en
Publisher:
Release Date : 2020
Exposure Time Formulation For Reactive Transport written by Deviyani Gurung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Chemical reactions categories.
Reactive transport modeling is an important tool for the analysis of physical, chemical and biological processes encountered in many environmental systems. Several upscaled models, of natural or engineered porous media, are commonly used for such modeling and take advantage of standard advection dispersion reaction equations (ADREs). These simple models are however unable to account for physical processes that can heavily influence reactive transport in such media, such as pre-asymptotic flow fields and mixing limitations between transport and reaction processes. To account for these complexities, researchers have developed proportionally complex mathematical and simulation-based models. However, these complicated models have remained underutilized among most practitioners owing to their non-intuitive formulations and computationally intensive mathematics. In this thesis, we present a novel, intuitive and relatively less strenuous computational method for the simulation of homogenous chemical reactions through the use of age: defined as exposure-time to the flow field, structured ADREs.The utility of this method is demonstrated through the development of two models to quantify mixing processes and pre-asymptotic dispersion without the use of non-local models. Analysis of reactive transport in porous media has benefited from the concept of mixing ratios, in particular as a basis for mathematical separation of different species and processes. Additionally, general use of solute age has been recently explored as a proxy for reaction extent. Pairing these two concepts we developed mixing ratio models, structured on age, that is cast into a 1D transport formulation and compared with conventional formulations of mixing ratio models. This modeling framework was applied to the problem of mixing-limited reactive transport in one-dimension by explicitly considering unmixed and mixed phases. To address mixing limitations under the entirety of transport, including the pre-asymptotic dispersion timeframe, I use age-dependent dispersion coefficient in a local-formulation of transport. This formulation addresses the divisive controversy surrounding the use of time-dependent dispersion coefficients within an ADRE framework. Our physically intuitive model matches the performance of a recently published complicated and computationally intensive model of transient dispersion in direct comparison. Furthermore, our solutions can be applied to other upscaled one-dimensional transport problems such as river corridor, pipe networks, groundwater flows.
Reactive Transport In Natural And Engineered Systems
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Author : Jennifer Druhan
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-03-04
Reactive Transport In Natural And Engineered Systems written by Jennifer Druhan and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-04 with Science categories.
Open system behavior is predicated on a fundamental relationship between the timescale over which mass is transported and the timescale over which it is chemically transformed. This relationship describes the basis for the multidisciplinary field of reactive transport (RT). In the 20 years since publication of Review in Mineralogy and Geochemistry volume 34: Reactive Transport in Porous Media, RT principles have expanded beyond early applications largely based in contaminant hydrology to become broadly utilized throughout the Earth Sciences. RT is now employed to address a wide variety of natural and engineered systems across diverse spatial and temporal scales, in tandem with advances in computational capability, quantitative imaging and reactive interface characterization techniques. The present volume reviews the diversity of reactive transport applications developed over the past 20 years, ranging from the understanding of basic processes at the nano- to micrometer scale to the prediction of Earth global cycling processes at the watershed scale. Key areas of RT development are highlighted to continue advancing our capabilities to predict mass and energy transfer in natural and engineered systems.
Mathematical And Numerical Modeling In Porous Media
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Author : Martin A. Diaz Viera
language : en
Publisher: CRC Press
Release Date : 2012-07-24
Mathematical And Numerical Modeling In Porous Media written by Martin A. Diaz Viera and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.
Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.
Fluid Flow And Transport In Porous Media Mathematical And Numerical Treatment
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Author : Zhangxin Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Fluid Flow And Transport In Porous Media Mathematical And Numerical Treatment written by Zhangxin Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The June 2001 conference brought together mathematicians, computational scientists, and engineers working on the mathematical and numerical treatment of fluid flow and transport in porous media. This collection of 43 papers from that conference reports on recent advances in network flow modeling, parallel computation, optimization, upscaling, uncertainty reduction, media characterization, and chemically reactive phenomena. Topics include modeling horizontal wells using hybrid grids in reservoir simulation, a high order Lagrangian scheme for flow through unsaturated porous media, and a streamline front tracking method for two- and three- phase flow. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Distributed Hydrological Modelling
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Author : Michael B. Abbott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Distributed Hydrological Modelling written by Michael B. Abbott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
It is the task of the engineer, as of any other professional person, to do everything that is reasonably possible to analyse the difficulties with which his or her client is confronted, and on this basis to design solutions and implement these in practice. The distributed hydrological model is, correspondingly, the means for doing everything that is reasonably possible - of mobilising as much data and testing it with as much knowledge as is economically feasible - for the purpose of analysing problems and of designing and implementing remedial measures in the case of difficulties arising within the hydrological cycle. Thus the aim of distributed hydrologic modelling is to make the fullest use of cartographic data, of geological data, of satellite data, of stream discharge measurements, of borehole data, of observations of crops and other vegetation, of historical records of floods and droughts, and indeed of everything else that has ever been recorded or remembered, and then to apply to this everything that is known about meteorology, plant physiology, soil physics, hydrogeology, sediment transport and everything else that is relevant within this context. Of course, no matter how much data we have and no matter how much we know, it will never be enough to treat some problems and some situations, but still we can aim in this way to do the best that we possibly can.
Reactive Transport In Porous Media
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Author : Peter C. Lichtner
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17
Reactive Transport In Porous Media written by Peter C. Lichtner and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Science categories.
Volume 34 of Reviews in Mineralogy focuses on methods to describe the extent and consequences of reactive flow and transport in natural subsurface systems. Since the field of reactive transport within the Earth Sciences is a highly multidisciplinary area of research, including geochemistry, geology, physics, chemistry, hydrology, and engineering, this book is an attempt to some extent bridge the gap between these different disciplines. This volume contains the contributions presented at a short course held in Golden, Colorado, October 25-27, 1996 in conjunction with the Mineralogical Society of America's (MSA) Annual Meeting with the Geological Society of America in Denver, Colorado.
Flowing Matter
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Author : Federico Toschi
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
Flowing Matter written by Federico Toschi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science categories.
This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Fluid Flow In Fractured Porous Media
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Author : Yujing Jiang
language : en
Publisher: MDPI
Release Date : 2019-09-30
Fluid Flow In Fractured Porous Media written by Yujing Jiang and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-30 with Technology & Engineering categories.
The fluid flow in fracture porous media plays a significant role in the assessment of deep underground reservoirs, such as through CO2 sequestration, enhanced oil recovery, and geothermal energy development. Many methods have been employed—from laboratory experimentation to theoretical analysis and numerical simulations—and allowed for many useful conclusions. This Special Issue aims to report on the current advances related to this topic. This collection of 58 papers represents a wide variety of topics, including on granite permeability investigation, grouting, coal mining, roadway, and concrete, to name but a few. We sincerely hope that the papers published in this Special Issue will be an invaluable resource for our readers.
Diffusion In Random Fields
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Author : Nicolae Suciu
language : en
Publisher: Springer
Release Date : 2019-05-31
Diffusion In Random Fields written by Nicolae Suciu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.
This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling. Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.