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Inverse And Forward Modeling Of Flow And Transport In Heterogeneous Geological Media
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Book Synopsis Inverse and Forward Modeling of Flow and Transport in Heterogeneous Geological Media by : Amy Michele Wilson
Download or read book Inverse and Forward Modeling of Flow and Transport in Heterogeneous Geological Media written by Amy Michele Wilson and published by . This book was released on 2000 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Double Constraint Inversion Methodology by : Wouter Zijl
Download or read book The Double Constraint Inversion Methodology written by Wouter Zijl and published by Springer. This book was released on 2017-12-26 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a novel physics-based approach to inverse modeling that makes use of the properties of the equations governing the physics of the processes under consideration. It focuses on the inverse problems occurring in hydrogeology, but the approach is also applicable to similar inverse problems in various other fields, such as petroleum-reservoir engineering, geophysical and medical imaging, weather forecasting, and flood prediction. This approach takes into consideration the physics – for instance, the boundary conditions required to obtain a well-posed mathematical problem – to help avoid errors in model building and therefore enhance the reliability of the results. In addition, this method requires less computation time and less computer memory. The theory is presented in a comprehensive, not overly mathematical, way, with three practice-oriented hydrogeological case studies and a comparison with the conventional approach illustrating the power of the method. Forward and Inverse Modeling of Groundwater Flow is of use to researchers and graduate students in the fields of hydrology, as well as to professional hydrologists within industry. It also appeals to geophysicists and those working in or studying petroleum reservoir modeling and basin modeling.
Book Synopsis Mathematical Modeling for Flow and Transport Through Porous Media by : Gedeon Dagan
Download or read book Mathematical Modeling for Flow and Transport Through Porous Media written by Gedeon Dagan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.
Book Synopsis Applied Stochastic Hydrogeology by : Yoram Rubin
Download or read book Applied Stochastic Hydrogeology written by Yoram Rubin and published by Oxford University Press. This book was released on 2003-03-27 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Subsurface Hydrogeology is the study of subsurface, geological heterogeneity, and its effects on flow and transport process, using probabilistic and geostatistical concepts. This book presents a rational, systematic approach for analyzing and modeling subsurface heterogeneity, and for modeling flow and transport in the subsurface, and for prediction and decision-making under uncertainty. The book covers the fundamentals and practical aspects of geostatistics and stochastic hydrogeology, coupling theoretical and practical aspects, with examples, case studies and guidelines for applications, and provides a summary and review of the major developments in these areas.
Book Synopsis Flow Through Heterogeneous Geological Media by : Tian-Chyi Yeh
Download or read book Flow Through Heterogeneous Geological Media written by Tian-Chyi Yeh and published by Cambridge University Press. This book was released on 2015-07-07 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates principles of flow through porous media with stochastic analyses, for advanced-level students, researchers and professionals in hydrogeology and hydraulics.
Book Synopsis Flow and Transport Modelling in Highly Heterogeneous Geological Porous Media by : Eugenio Pescimoro
Download or read book Flow and Transport Modelling in Highly Heterogeneous Geological Porous Media written by Eugenio Pescimoro and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conceptual Models of Flow and Transport in the Fractured Vadose Zone by : National Research Council
Download or read book Conceptual Models of Flow and Transport in the Fractured Vadose Zone written by National Research Council and published by National Academies Press. This book was released on 2001-05-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flow and solute transport within the vadose zone, the unsaturated zone between the land surface and the water table, can be the cause of expanded plumes arising from localized contaminant sources. An understanding of vadose zone processes is, therefore, an essential prerequisite for cost-effective contaminant remediation efforts. In addition, because such features are potential avenues for rapid transport of chemicals from contamination sources to the water table, the presence of fractures and other channel-like openings in the vadose zone poses a particularly significant problem, Conceptual Models of Flow and Transport in the Fractured Vadose Zone is based on the work of a panel established under the auspices of the U.S. National Committee for Rock Mechanics. It emphasizes the importance of conceptual models and goes on to review the conceptual model development, testing, and refinement processes. The book examines fluid flow and transport mechanisms, noting the difficulty of modeling solute transport, and identifies geochemical and environmental tracer data as important components of the modeling process. Finally, the book recommends several areas for continued research.
Book Synopsis Estimation of Hydrologic Properties of Heterogeneous Geologic Media with an Inverse Method Based on Iterated Function Systems by : Christine Allison Doughty
Download or read book Estimation of Hydrologic Properties of Heterogeneous Geologic Media with an Inverse Method Based on Iterated Function Systems written by Christine Allison Doughty and published by . This book was released on 1995 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subsurface Flow and Transport by : Gedeon Dagan
Download or read book Subsurface Flow and Transport written by Gedeon Dagan and published by Cambridge University Press. This book was released on 1997-09-04 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a major method in modelling the flow of water and transport of solutes in the subsurface, a subject of considerable interest in the exploitation and preservation of water resources. The stochastic approach allows the uncertainty which affects various properties and parameters to be incorporated in models of subsurface flow and transport. These much more realistic models are of greater use in, for example, modelling the transport and build-up of contaminants in groundwater. The volume is based on the second Kovacs Colloquium organised by the International Hydrological Programme (UNESCO) and the International Association of Hydrological Sciences. Fifteen leading scientists with international reputations review the latest developments in this area. The book is a valuable reference work for graduate students, research workers and professionals in government and public institutions, interested in hydrology, environmental issues, soil physics, petroleum engineering, geological engineering and applied mathematics.
Book Synopsis Modeling flow and transport in heterogeneous media by : Ramoj K. Paruchuri
Download or read book Modeling flow and transport in heterogeneous media written by Ramoj K. Paruchuri and published by . This book was released on 2003 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiphase Flow and Transport Processes in the Subsurface by : Rainer Helmig
Download or read book Multiphase Flow and Transport Processes in the Subsurface written by Rainer Helmig and published by Springer. This book was released on 1997-09-04 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general formulation of a model is an important precondition for modeling multiphase flow and transport processes in subsurface hydrosystems. This book presents a consistent and easily accessible formulation of the fundamental phenomena and concepts, a uniform description of mathematical and numerical modeling, and latest developments in the field of simulation of multiphase processes, especially in porous and heterogeneous media. The author discusses in detail not only general aspects of the selection of relevant processes and corresponding parameters but also the mathematical and numerical modeling concepts.
Book Synopsis Rock Fractures and Fluid Flow by : National Research Council
Download or read book Rock Fractures and Fluid Flow written by National Research Council and published by National Academies Press. This book was released on 1996-08-27 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific understanding of fluid flow in rock fracturesâ€"a process underlying contemporary earth science problems from the search for petroleum to the controversy over nuclear waste storageâ€"has grown significantly in the past 20 years. This volume presents a comprehensive report on the state of the field, with an interdisciplinary viewpoint, case studies of fracture sites, illustrations, conclusions, and research recommendations. The book addresses these questions: How can fractures that are significant hydraulic conductors be identified, located, and characterized? How do flow and transport occur in fracture systems? How can changes in fracture systems be predicted and controlled? Among other topics, the committee provides a geomechanical understanding of fracture formation, reviews methods for detecting subsurface fractures, and looks at the use of hydraulic and tracer tests to investigate fluid flow. The volume examines the state of conceptual and mathematical modeling, and it provides a useful framework for understanding the complexity of fracture changes that occur during fluid pumping and other engineering practices. With a practical and multidisciplinary outlook, this volume will be welcomed by geologists, petroleum geologists, geoengineers, geophysicists, hydrologists, researchers, educators and students in these fields, and public officials involved in geological projects.
Author :Ekkehard O. Holzbecher Publisher :Springer Science & Business Media ISBN 13 :3642587674 Total Pages :308 pages Book Rating :4.6/5 (425 download)
Book Synopsis Modeling Density-Driven Flow in Porous Media by : Ekkehard O. Holzbecher
Download or read book Modeling Density-Driven Flow in Porous Media written by Ekkehard O. Holzbecher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of flow and transport in groundwater has become an important focus of scientific research in recent years. Most contributions to this subject deal with flow situations, where density and viscosity changes in the fluid are neglected. This restriction may not always be justified. The models presented in the book demonstrate immpressingly that the flow pattern may be completely different when density changes are taken into account. The main applications of the models are: thermal and saline convection, geothermal flow, saltwater intrusion, flow through salt formations etc. This book not only presents basic theory, but the reader can also test his knowledge by applying the included software and can set up own models.
Book Synopsis Flow and Transport in Porous Formations by : Gedeon Dagan
Download or read book Flow and Transport in Porous Formations written by Gedeon Dagan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mid-seventies, a new area of research has emerged in subsurface hydrology, namely sto chastic modeling of flow and transport. This development has been motivated by the recognition of the ubiquitous presence of heterogeneities in natural formations and of their effect upon transport and flow, on the one hand, and by the vast expansion of computational capability provided by elec tronic machines, on the other. Apart from this, one of the areas in which spatial variability of for mation properties plays a cardinal role is of contaminant transport, a subject of growing interest and concern. I have been quite fortunate to be engaged in research in this area from its inception and to wit ness the rapid growth of the community and of the literature on spatial variability and its impact upon subsurface hydrology. In view of this increasing interest, I decided a few years ago that it would be useful to present the subject in a systematic and comprehensive manner in order to help those who wish to engage themselves in research or application of this new field. I viewed as my primary task to analyze the large scale heterogeneity of aquifers and its effect, presuming that the reader already possesses a background in traditional hydrology. This is achieved in Parts 3, 4 and 5 of the text which incorporate the pertinent material.
Book Synopsis Macroscale Models of Flow Through Highly Heterogeneous Porous Media by : M. Panfilov
Download or read book Macroscale Models of Flow Through Highly Heterogeneous Porous Media written by M. Panfilov and published by Springer Science & Business Media. This book was released on 2000-02-29 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.
Book Synopsis Geochemical Modeling of Groundwater, Vadose and Geothermal Systems by : Jochen Bundschuh
Download or read book Geochemical Modeling of Groundwater, Vadose and Geothermal Systems written by Jochen Bundschuh and published by CRC Press. This book was released on 2011-12-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geochemical modeling is an important tool in environmental studies, and in the areas of subsurface and surface hydrology, pedology, water resources management, mining geology, geothermal resources, hydrocarbon geology, and related areas dealing with the exploration and extraction of natural resources. The book fills a gap in the literature through its discussion of geochemical modeling, which simulates the chemical and physical processes affecting the distribution of chemical species in liquid, gas, and solid phases. Geochemical modeling applies to a diversity of subsurface environments, from the vadose zone close to the Earth’s surface, down to deep-seated geothermal reservoirs. This book provides the fundamental thermodynamic concepts of liquid-gas-solid phase systems. It introduces the principal types of geochemical models, such as speciation, reaction-path or forward, inverse- and reactive-transport models, together with examples of the most common codes and the best-practices for constructing geochemical models. The physical laws describing homogeneous and heterogeneous chemical reactions, their kinetics, and the transport of reactive solutes are presented. The partial differential or algebraic equations representing these laws, and the principal numerical methods that allow approximate solutions of these equations that can provide useful solutions to model different geochemical processes, are discussed in detail. Case studies applying geochemical models in different scientific areas and environmental settings, conclude the book. The book is addressed to students, teachers, other professionals, and to the institutions involved in water, geothermal and hydrocarbon resources, mining, and environmental management. The book should prove useful to undergraduate and graduate students, postgraduates, professional geologists and geophysicists, engineers, environmental scientists, soil scientists, hydrochemists, and others interested in water and geochemistry.
Book Synopsis Distribution-based Framework for Uncertainty Quantification of Flow in Porous Media by : Hyung Jun Yang
Download or read book Distribution-based Framework for Uncertainty Quantification of Flow in Porous Media written by Hyung Jun Yang and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative predictions of fluid flow and transport in porous media are often compromised by multi-scale heterogeneity and insufficient site characterization. These factors introduce uncertainty on the input and output of physical systems which are generally expressed as partial differential equations (PDEs). The characterization of this predictive uncertainty is typically done with forward propagation of input uncertainty as well as inverse modeling for the dynamic data integration. The main challenges of forward uncertainty propagation arise from the slow convergence of Monte Carlo Simulations (MCS) especially when the goal is to compute the probability distribution which is necessary for risk assessment and decision making under uncertainty. On the other hand, reliable inverse modeling is often hampered by the ill-posedness of the problem, thus the incorporation of geological constraints becomes increasingly important. In the thesis, four significant contributions are made to alleviate these outstanding issues on forward and inverse problems. First, the method of distributions for the steady-state flow problem is developed to yield a full probabilistic description of outputs via probability distribution function (PDF) or cumulative distribution (CDF). The derivation of deterministic equation for CDF relies on stochastic averaging techniques and self-consistent closure approximation which ensures the resulting CDF has the same mean and variance as those computed with moment equations or MCS. We conduct a series of numerical experiments dealing with steady-state two-dimensional flow driven by either a natural hydraulic head gradient or a pumping well. These experiments reveal that the proposed method remains accurate and robust for highly heterogeneous formations with the variance of log conductivity as large as five. For the same accuracy, it is also up to four orders of magnitude faster than MCS with a required degree of confidence. The second contribution of this work is the extension of the distribution-based method to account for uncertainty in the geologic makeup of a subsurface environment and non-stationary cases. Our CDF-RDD framework provides a probabilistic assessment of uncertainty in highly heterogeneous subsurface formations by combining the method of distributions and the random domain decomposition (RDD). Our numerical experiments reveal that the CDF-RDD remains accurate for two-dimensional flow in a porous material composed of two heterogeneous geo-facies, a setting in which the original distribution method fails. For the same accuracy, the CDF-RDD is an order of magnitude faster than MCS. Next, we develop a complete distribution-based method for the probabilistic forecast of two-phase flow in porous media. The CDF equation for travel time is derived within the efficient streamline-based framework to replace the MCS in the previous FROST method. For getting fast and stable results, we employ numerical techniques including pseudo-time integration, flux-limited scheme, and exponential grid spacing. Our CDF-FROST framework uses the results of the method of distributions for travel time as an input of FROST method. The proposed method provides a probability distribution of saturation without using any sampling-based methods. The numerical tests demonstrate that the CDF-FROST shows good accuracy in estimating the probability distributions of both saturation and travel time. For the same accuracy, it is about 5 and 10 times faster than the previous FROST method and naive MCS, respectively. Lastly, we propose a consensus equilibrium (CE) framework to reconstruct the realistic geological model by the inverse modeling of sparse dynamic data. The optimization-based inversion techniques are integrated with recent machine learning-based methods (e.g., variational auto-encoder and convolutional neural network) by the proposed CE algorithm to capture the complicated geological features. The numerical examples verify that the proposed method well preserves the geological realism, and it efficiently quantifies the uncertainty conditioned on dynamic information.
