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Author: Alaa El-din Ahmed Abdin
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 424
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Author: Alaa El-din Ahmed Abdin
Publisher:
ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 424
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Book Description
Author: David W. Dean
Publisher:
ISBN:
Category : Fluids
Languages : en
Pages : 12
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Book Description
This paper is a follow-up to Dean and Russell's in which the formulation of a model of NAPL (Non-Aqueous Phase Liquid) flow in heterogeneous porous media is based on the traditional argument of developing a Fokker-Planck equation for a diffusion process and then modifying this equation to handle the behavior of the fluid particle at an interface between sands of different permeabilities. In this paper, an attempt is made to accomplish the same result starting with a theory of stochastic processes that allows jumps.--Authors' abstract.
Author: D.B. Das
Publisher: Springer Science & Business Media
ISBN: 1402036043
Category : Science
Languages : en
Pages : 259
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Book Description
This book provides concise, up-to-date and easy-to-follow information on certain aspects of an ever important research area: multiphase flow in porous media. This flow type is of great significance in many petroleum and environmental engineering problems, such as in secondary and tertiary oil recovery, subsurface remediation and CO2 sequestration. This book contains a collection of selected papers (all refereed) from a number of well-known experts on multiphase flow. The papers describe both recent and state-of-the-art modeling and experimental techniques for study of multiphase flow phenomena in porous media. Specifically, the book analyses three advanced topics: upscaling, pore-scale modeling, and dynamic effects in multiphase flow in porous media. This will be an invaluable reference for the development of new theories and computer-based modeling techniques for solving realistic multiphase flow problems. Part of this book has already been published in a journal. Audience This book will be of interest to academics, researchers and consultants working in the area of flow in porous media.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
The effects of subsurface heterogeneity on two-phase flow can be observed from the characterization functions of field-scale effective relative permeability and capillary pressure with respect to mean saturation. Numerical experiments were used to evaluate such effective properties of two-phase flow in a heterogeneous medium with properties representing the Borden Aquifer, and compared with the results of stochastic analysis developed using a spectral perturbation technique that employs a stationary, stochastic representation of the spatial variability of soil properties. Arbitrary forms of the relative permeability and capillary pressure characteristic functions with respect to saturation can be used in the theoretical analysis and numerical code. A statistical scaling procedure, which is a generalization of Leverett scaling, was developed for the relationship between intrinsic permeability and two capillary parameters. The procedure for estimating the effective properties of two-phase flow using numerical simulation consists of three-steps. Firstly, a local-scale heterogeneous system with random fields of intrinsic permeability and two capillary parameters was generated. Secondly, numerical simulation of single-phase flow in the system, with different sets of flow boundary conditions for different directions, was performed; the field-scale effective saturated hydraulic conductivity tensor was calculated on the basis of the mean Darcy law. The tensor obtained numerically is very close to that determined using the generalized spectral-perturbation approximation. Finally, a number of numerical experiments on two-phase flow in the system were conducted with different infiltration rates of DNAPL; the field-scale effective relative permeability and capillary pressure functions were obtained. In each experiment, a highly heterogeneous saturation field was obtained, leading to large variations of actual nonwetting phase permeability (combination of intrinsic permeability and its positively correlated relative permeability). Both stochastic and numerical analyses produced very similar results of effective properties of multiphase flow. The vertical effective relative permeability is significantly lower than the homogeneous one found using mean capillary parameters, particularly at low mean DNAPL saturation (low mean capillary pressure). On the other hand, the effective capillary pressure function differs only slightly from the homogeneous case. Various statistical properties of local-scale NAPL saturation, capillary pressure and relative permeability and their relationships with intrinsic permeability and capillary parameters were analyzed in detail.
Author: D.B. Das
Publisher: Springer Science & Business Media
ISBN: 9781402035135
Category : Science
Languages : en
Pages : 276
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Book Description
This book provides concise, up-to-date and easy-to-follow information on certain aspects of an ever important research area: multiphase flow in porous media. This flow type is of great significance in many petroleum and environmental engineering problems, such as in secondary and tertiary oil recovery, subsurface remediation and CO2 sequestration. This book contains a collection of selected papers (all refereed) from a number of well-known experts on multiphase flow. The papers describe both recent and state-of-the-art modeling and experimental techniques for study of multiphase flow phenomena in porous media. Specifically, the book analyses three advanced topics: upscaling, pore-scale modeling, and dynamic effects in multiphase flow in porous media. This will be an invaluable reference for the development of new theories and computer-based modeling techniques for solving realistic multiphase flow problems. Part of this book has already been published in a journal. Audience This book will be of interest to academics, researchers and consultants working in the area of flow in porous media.
Author: P.M. Adler
Publisher: Springer Science & Business Media
ISBN: 9401723729
Category : Science
Languages : en
Pages : 196
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Book Description
The study of multiphase flow through porous media is undergoing intense development, mostly due to the recent introduction of new methods. After the profound changes induced by percolation in the eighties, attention is nowadays focused on the pore scale. The physical situation is complex and only recently have tools become available that allow significant progress to be made in the area. This volume on Multiphase Flow in Porous Media, which is also being published as a special issue of the journal Transport in Porous Media, contains contributions on the lattice-Boltzmann technique, the renormalization technique, and semi-phenomenological studies at the pore level. Attention is mostly focused on two- and three-phase flows. These techniques are of tremendous importance for the numerous applications of multiphase flows in oil fields, unsaturated soils, the chemical industry, and environmental sciences.
Author: Mingjie Chen
Publisher:
ISBN: 9780542612817
Category :
Languages : en
Pages : 258
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Book Description
We present a novel approach to modeling stochastic multiphase now problems, for example NAPL flow, in a heterogeneous subsurface medium with random soil properties. A stochastic numerical model for steady state and transient two-phase and three-phase flow in a random soil property field is developed using the Karhunen-Loeve Moment Equation (KLME) approach and is numerically implemented. An exponential model and van Genuchten model are adopted to define the constitutive relationship between phase relative permeability and capillary. The log-transformed intrinsic permeability, soil pore size distribution, and van Genuchten fitting parameter are assumed to be Gaussian random functions with a separable exponential covariance function. We demonstrate the validity of the proposed KLME model by favorably comparing up to second-order approximations to Monte Carlo simulations, which are considered "true" solutions. The significant computational efficiency of the KLME approach over Monte Carlo simulation is also illustrated.
Author: Michael B. Butts
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Zhangxin Chen
Publisher: Springer Science & Business Media
ISBN: 3540675663
Category : Science
Languages : en
Pages : 467
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Book Description
The need to predict, understand, and optimize complex physical and c- mical processes occurring in and around the earth, such as groundwater c- tamination, oil reservoir production, discovering new oil reserves, and ocean hydrodynamics, has been increasingly recognized. Despite their seemingly disparate natures, these geoscience problems have many common mathe- tical and computational characteristics. The techniques used to describe and study them are applicable across a broad range of areas. The study of the above problems through physical experiments, mat- matical theory, and computational techniques requires interdisciplinary col- boration between engineers, mathematicians, computational scientists, and other researchers working in industry, government laboratories, and univ- sities. By bringing together such researchers, meaningful progress can be made in predicting, understanding, and optimizing physical and chemical processes. The International Workshop on Fluid Flow and Transport in Porous - dia was successfully held in Beijing, China, August 2{6, 1999. The aim of this workshop was to bring together applied mathematicians, computational scientists, and engineers working actively in the mathematical and nume- cal treatment of ?uid ?ow and transport in porous media. A broad range of researchers presented papers and discussed both problems and current, state-of-the-art techniques.
Author: Bruce Lee Jacobs
Publisher:
ISBN:
Category :
Languages : en
Pages : 564
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Book Description
