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A Numerical Simulator For Flow And Transport In Stochastic Discrete Fracture Networks
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Book Synopsis A Numerical Simulator for Flow and Transport in Stochastic Discrete Fracture Networks by : Alain Rouleau
Download or read book A Numerical Simulator for Flow and Transport in Stochastic Discrete Fracture Networks written by Alain Rouleau and published by Saskatoon : National Hydrology Research Institute. This book was released on 1988 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This report describes a stochastic discrete fracture (SDF) modelling package that simulates ground-water flow and mass transport in fracture systems. The program NETWRK generates two-dimensional fracture networks with a Monte Carlo method based on the statistics of field data on fracture geometry, i.e., fracture orientation, trace length, aperture, and density. The program APEGEN can be used to generate supplementary aperture distributions for the fracture network generated by NETWRK. A third program, NETFLO, computes the steady-state fluid flow through the fracture network generated by NETWRK and APEGEN. NETFLO also computes the statistic s of selected parameters in every ten-degree range of direction, including the total length of fracture segments, the total flow velocity, and the total flow rate. The latter directional parameters are used by the program NETRANS to compute the transit time of particles over an arbitrary distance using a second-level stochastic process"--Abstract, p. vi.
Book Synopsis Fracture Modeling and Flow Behavior in Shale Gas Reservoirs Using Discrete Fracture Networks by : Joachim Nwabunwanne Ogbechie
Download or read book Fracture Modeling and Flow Behavior in Shale Gas Reservoirs Using Discrete Fracture Networks written by Joachim Nwabunwanne Ogbechie and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flow process in fractured reservoirs is controlled primarily by the connectivity of fractures. The presence of fractures in these reservoirs significantly affects the mechanism of fluid flow. They have led to problems in the reservoir which results in early water breakthroughs, reduced tertiary recovery efficiency due to channeling of injected gas or fluids, dynamic calculations of recoverable hydrocarbons that are much less than static mass balance ones due to reservoir compartmentalization, and dramatic production changes due to changes in reservoir pressure as fractures close down as conduits. These often lead to reduced ultimate recoveries or higher production costs. Generally, modeling flow behavior and mass transport in fractured porous media is done using the dual-continuum concept in which fracture and matrix are modeled as two separate kinds of continua occupying the same control volume (element) in space. This type of numerical model cannot reproduce many commonly observed types of fractured reservoir behavior since they do not explicitly model the geometry of discrete fractures, solution features, and bedding that control flow pathway geometry. This inaccurate model of discrete feature connectivity results in inaccurate flow predictions in areas of the reservoir where there is not good well control. Discrete Fracture Networks (DFN) model has been developed to aid is solving some of these problems experienced by using the dual continuum models. The Discrete Fracture Networks (DFN) approach involves analysis and modeling which explicitly incorporates the geometry and properties of discrete features as a central component controlling flow and transport. DFN are stochastic models of fracture architecture that incorporate statistical scaling rules derived from analysis of fracture length, height, spacing, orientation, and aperture. This study is focused on developing a methodology for application of DFN to a shale gas reservoir and the practical application of DFN simulator (FracGen and NFflow) for fracture modeling of a shale gas reservoir and also studies the interaction of the different fracture properties on reservoir response. The most important results of the study are that a uniform fracture network distribution and fracture aperture produces the highest cumulative gas production for the different fracture networks and fracture/well properties considered.
Book Synopsis Quantifying Non-Fickian Transport in Porous and Fractured Media Using Fractional-calculus Based Stochastic Models by : Bingqing Lu
Download or read book Quantifying Non-Fickian Transport in Porous and Fractured Media Using Fractional-calculus Based Stochastic Models written by Bingqing Lu and published by . This book was released on 2019 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Fickian or "anomalous" transport, where the target's spatial variance grows nonlinearly in time, describes the pollutant dynamics widely observed in heterogeneous geological media deviating significantly from that described by the classical advection dispersion equation (ADE). The ADE describes the Fickian-type of transport, with symmetric snapshots like the Gaussian distribution in space (Berkowitz et al., 2006). Non-Fickian transport can be observed at all scales. Non-Fickian transport is typically characterized by apparent (as heavy as power-law) early arrivals and late time tailing behaviors in the tracer breakthrough curves (BTCs). Non-Fickian transport is well known to be affected by medium heterogeneity. Heterogeneity can refer to variations in the distribution of geometrical properties, as well as variations in the biogeochemical properties of the medium, which cannot be mapped exhaustively at all relevant scales. Complex geometric structures and intrinsic heterogeneity in geological formations affect predictions of tracer transport and further challenge remediation analyses. Hence, efficient quantification of non-Fickian transport requires parsimonious models such as the fractional engine based physical models. In this dissertation, I first compared three types of time non-local transport models, which include the multi-rate mass transfer (MRMT) model, the continuous time random walk (CTRW) framework, and the tempered time fractional advection dispersion equation (tt-fADE) model. I then found that tt-fADE can model the rate-limited diffusion and sorption-desorption of Arsenic in soil. Additionally, non-Fickian dynamics for pollutant transport in field-scale discrete fracture networks (DFNs) were explored. Monte Carlo simulations of water flow were then conducted through field-scale DFNs to identify non-Darcian flow and non-Fickian pressure propagation. Finally, to address non-Fickian transport for reactive pollutants, I proposed a time fractional derivative model with the reaction term. Findings of this dissertation improve our understanding of the nature of water flow and pollutant transport in porous and fractured media at different scales. The correlated parameters and relationships between media properties and parameters can enhance the applicability of fractional partial differential equations that can be parameterized using the measurable media characteristics. This provides one of the most likely ways to improve the model predictability, which remained the most challenge for stochastic hydrologic models
Book Synopsis Groundwater in Fractured Rocks by : John M. Sharp
Download or read book Groundwater in Fractured Rocks written by John M. Sharp and published by CRC Press. This book was released on 2007-07-05 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hydrogeologic environment of fractured rocks represents vital natural systems, examples of which occur on every continent. This book discusses key issues, methodologies and techniques in the hydrogeology of fractured rocks, summarizing recent progress and anticipating the outcome of future investigations. Forty-four revised and updated papers w
Book Synopsis Tracers and Modelling in Hydrogeology by : Alain Dassargues
Download or read book Tracers and Modelling in Hydrogeology written by Alain Dassargues and published by IAHS Press. This book was released on 2000 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Modeling and Geostatistics by : Timothy C. Coburn
Download or read book Stochastic Modeling and Geostatistics written by Timothy C. Coburn and published by AAPG. This book was released on 2005-12-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Watershed Research in the U.S. Geological Survey by : National Research Council
Download or read book Watershed Research in the U.S. Geological Survey written by National Research Council and published by National Academies Press. This book was released on 1997-04-09 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Watershed research is conducted by the U.S. Geological Survey (USGS) to expand our understanding of basic hydrologic mechanisms and their responses at the watershed scale and to provide information that serves as the basis for water and environmental management activities carried out largely by other governmental and private entities. The work of the USGS in this area is carried out by its Water Resources Division and occurs in three general program areas: basic research, regional and site assessments, and data collection. These activities are becoming increasingly important, especially in the context of water and environmental management, where contemporary problems are being approached more than ever on an integrated ecosystems or watershed basis and where the underlying physical, chemical, and biological science is complex. Although the value of this type of hydrologic research is well recognized within the USGS, available financial resources to support it remain modest. Thus, this study seeks to help maximize the effectiveness of the agency's work. The study took two years, during which time the committee visited field sites, received briefings, reviewed descriptive materials, deliberated toward conclusions, and wrote this report. Recommendations are intended to assist the USGS in improving its overall strategy for work in this area; descriptions of a number of scientific opportunities are included, and appropriate circumstances for collaboration with and support for others are identified.
Book Synopsis Embedded Discrete Fracture Modeling and Application in Reservoir Simulation by : Kamy Sepehrnoori
Download or read book Embedded Discrete Fracture Modeling and Application in Reservoir Simulation written by Kamy Sepehrnoori and published by Elsevier. This book was released on 2020-08-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of naturally fractured reservoirs, especially shale gas and tight oil reservoirs, exploded in recent years due to advanced drilling and fracturing techniques. However, complex fracture geometries such as irregular fracture networks and non-planar fractures are often generated, especially in the presence of natural fractures. Accurate modelling of production from reservoirs with such geometries is challenging. Therefore, Embedded Discrete Fracture Modeling and Application in Reservoir Simulation demonstrates how production from reservoirs with complex fracture geometries can be modelled efficiently and effectively. This volume presents a conventional numerical model to handle simple and complex fractures using local grid refinement (LGR) and unstructured gridding. Moreover, it introduces an Embedded Discrete Fracture Model (EDFM) to efficiently deal with complex fractures by dividing the fractures into segments using matrix cell boundaries and creating non-neighboring connections (NNCs). A basic EDFM approach using Cartesian grids and advanced EDFM approach using Corner point and unstructured grids will be covered. Embedded Discrete Fracture Modeling and Application in Reservoir Simulation is an essential reference for anyone interested in performing reservoir simulation of conventional and unconventional fractured reservoirs. Highlights the current state-of-the-art in reservoir simulation of unconventional reservoirs Offers understanding of the impacts of key reservoir properties and complex fractures on well performance Provides case studies to show how to use the EDFM method for different needs
Book Synopsis Fractional Calculus: Theory and Applications by : Francesco Mainardi
Download or read book Fractional Calculus: Theory and Applications written by Francesco Mainardi and published by MDPI. This book was released on 2018-09-20 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Fractional Calculus: Theory and Applications" that was published in Mathematics
Download or read book IAHS Publication written by and published by . This book was released on 1981 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Bulletin written by and published by . This book was released on 1987 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractured Porous Media by : Pierre M. Adler
Download or read book Fractured Porous Media written by Pierre M. Adler and published by Oxford University Press, USA. This book was released on 2013 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic treatment of the geometrical and transport properties of fractures, fracture networks, and fractured porous media. It is divided into two major parts. The first part deals with geometry of individual fractures and of fracture networks. The use of the dimensionless density rationalizes the results for the percolation threshold of the networks. It presents the crucial advantage of grouping the numerical data for various fracture shapes. The second part deals mainly with permeability under steady conditions of fractures, fracture networks, and fractured porous media. Again the results for various types of networks can be rationalized by means of the dimensionless density. A chapter is dedicated to two phase flow in fractured porous media.
Book Synopsis Stochastic Modeling of Flow and Transport in Random Domains by : Sang Woo Park
Download or read book Stochastic Modeling of Flow and Transport in Random Domains written by Sang Woo Park and published by . This book was released on 2012 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation deals with mathematical modeling of flow and transport in random domains. Such problems arise when boundaries of simulation domains are either uncertain or fluctuate randomly in time or both. Examples of such problems include flow in micro-channels, micro-fin exchangers, and biological systems. In these and other applications, random domain geometry affects flow and/or transport behavior and heat efficiency. We use a numerical algorithm consisting of three steps to solve random domain problems with. The first step is to use a finite-term expansion (e.g., a Karhunen-Loeve or Fourier expansion) to parameterize random surfaces (or roughness) of micro-vessels and micro-channels. The second step is to use stochastic mapping, which transforms a deterministic governing equation in a random domain into a stochastic equation in a deterministic domain. The final step is to use either a stochastic Galerkin method or a stochastic collocation method to represent a solution of the stochastic equation as polynomial chaos expansions in terms of orthogonal polynomials. The polynomial type is dependent upon the random variable representing the uncertain data/parameter. This general procedure is used to investigate the effect of endothelial roughness on blood flow, the impact of temporal and spatial fluctuations of cell free layer on nitric oxide production and scavenging, and Stokes flow in domains bounded by surfaces with roughness under a periodic condition.
Book Synopsis Numerical Methods and Applications by : Ivan Dimov
Download or read book Numerical Methods and Applications written by Ivan Dimov and published by Springer Science & Business Media. This book was released on 2011-01-14 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited papers were carefully reviewed and selected from numerous submissions for inclusion in this book. The papers are organized in topical sections on Monte Carlo and quasi-Monte Carlo methods, environmental modeling, grid computing and applications, metaheuristics for optimization problems, and modeling and simulation of electrochemical processes.
Book Synopsis An Introduction to Reservoir Simulation Using MATLAB/GNU Octave by : Knut-Andreas Lie
Download or read book An Introduction to Reservoir Simulation Using MATLAB/GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1987 with total page 1294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Analysis of Flow and Transport in Porous Media by : Veronika S. Vasylkivska
Download or read book Stochastic Analysis of Flow and Transport in Porous Media written by Veronika S. Vasylkivska and published by . This book was released on 2012 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties such as permeability, porosity and diffusivity. In many situations description of properties of the porous media is aided by a limited number of observations at fixed points. These observations constrain the randomness of the field and lead to conditional simulations. In this work we propose a method of simulating the random fields which respect the observed data. An advantage of our method is that in the case that additional data becomes available it can be easily incorporated into subsequent representations. The proposed method is based on infinite series representations of random fields. We provide truncation error estimates which bound the discrepancy between the truncated series and the random field. We additionally provide the expansions for some processes that have not yet appeared in the literature. There are several approaches to efficient numerical computations for partial differential equations with random parameters. In this work we compare the solutions of flow and transport equations obtained by conditional simulations with Monte Carlo (MC) and stochastic collocation (SC) methods. Due to its simplicity MC method is one of the most popular methods used for the solution of stochastic equations. However, it is computationally expensive. The SC method is functionally similar to the MC method but it provides the faster convergence of the statistical moments of the solutions through the use of the carefully chosen collocation points at which the flow and transport equations are solved. We show that for both methods the conditioning on measurements helps to reduce the uncertainty of the solutions of the flow and transport equations. This especially holds in the neighborhood of the conditioning points. Conditioning reduces the variances of solutions helping to quantify the uncertainty in the output of the flow and transport equations.
