Stochastic Differential Equation Approach for Modeling of Non-Aqueous Phase Liquid Flow in Heterogeneous Porous Media PDF Download
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Author: David W. Dean
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 16
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Book Description
Presents a stochastic differential equation approach to multiphase flow, a typical example of which is flow in the unsaturated domain. Specifically, a two phase problem is studied which consists of a wetting phase and a nonwetting phase. The approach given results in a nonlinear stochastic differential equation describing the position of the non-wetting phase fluid particle.
Author: David W. Dean
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 16
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Book Description
Presents a stochastic differential equation approach to multiphase flow, a typical example of which is flow in the unsaturated domain. Specifically, a two phase problem is studied which consists of a wetting phase and a nonwetting phase. The approach given results in a nonlinear stochastic differential equation describing the position of the non-wetting phase fluid particle.
Author:
Publisher:
ISBN:
Category : Hydrology
Languages : en
Pages : 962
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Book Description
Author:
Publisher:
ISBN:
Category : Water
Languages : en
Pages : 1424
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Book Description
Author: Helge Holden
Publisher: Springer Science & Business Media
ISBN: 1468492152
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or "noisy". We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions.
Author: Abdel-Mohsen O. Mohamed
Publisher: Butterworth-Heinemann
ISBN: 0128051450
Category : Technology & Engineering
Languages : en
Pages : 710
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Book Description
Fundamentals of Geoenvironmental Engineering: Understanding Soil, Water, and Pollutant Interaction and Transport examines soil-water-pollutant interaction, including physico-chemical processes that occur when soil is exposed to various contaminants. Soil characteristics relevant to remedial techniques are explored, providing foundations for the correct process selection. Built upon the authors' extensive experience in research and practice, the book updates and expands the content to include current processes and pollutants. The book discusses propagation of soil pollution and soil characteristics relevant to remedial techniques. Practicing geotechnical and environmental engineers can apply the theory and case studies in the book directly to current projects. The book first discusses the stages of economic development and their connections to the sustainability of the environment. Subsequent chapters cover waste and its management, soil systems, soil-water and soil-pollutant interactions, subsurface transport of pollutants, role of groundwater, nano-, micro- and biologic pollutants, soil characteristics that impact pollution diffusion, and potential remediation processes like mechanical, electric, magnetic, hydraulic and dielectric permittivity of soils. - Presents a clear understanding of the propagation of pollutants in soils - Identifies the physico-chemical processes in soils - Covers emerging pollutants (nano-, micro- and biologic contaminants) - Features in-depth coverage of hydraulic, electrical, magnetic and dielectric permittivity characteristics of soils and their impact on remedial technologies
Author: Viorel Barbu
Publisher: Springer
ISBN: 3319410695
Category : Mathematics
Languages : en
Pages : 209
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Book Description
Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model". The book will be of interest to PhD students and researchers in mathematics, physics and biology.
Author: Vashi Kanan
Publisher: Techroot
ISBN: 9781805452829
Category : Psychology
Languages : en
Pages : 0
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Book Description
INTRODUCTION; The physico-mathematical background of the flowing phases through homogeneous and heterogeneous porous media is discussed in this chapter which is necessary to understand the author's investigations presented in the subsequent chapters. The fundamental definitions of piezometric head, piezometricalope, filtration (Seepage) velocity and seepage face are given. The basic Darey's law governing the flow of fluid through porous media is stated; its range of validity and general forms are discussed. Further, we have introduced basic flow equations describing a poro-hydrodynamical systems, viz., generalized Darey's law, the equation of continuity applied to each phase individually, the relation between capillary pressure and phase saturation [Fig.l] together with necessary boundary and initial conditions which are sufficient for a complete specification of the flow system.
Author: Adam Szymkiewicz
Publisher: Springer Science & Business Media
ISBN: 364223559X
Category : Science
Languages : en
Pages : 254
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Book Description
The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.
Author: Eugene Sidney Simpson
Publisher:
ISBN:
Category : Diffusion in hydrology
Languages : en
Pages : 40
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Book Description
Author: Pan Ming Huang
Publisher: CRC Press
ISBN: 1439803048
Category : Science
Languages : en
Pages : 2249
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Book Description
An evolving, living organic/inorganic covering, soil is in dynamic equilibrium with the atmosphere above, the biosphere within, and the geology below. It acts as an anchor for roots, a purveyor of water and nutrients, a residence for a vast community of microorganisms and animals, a sanitizer of the environment, and a source of raw materials for co
