# Porous Media Fluid Transport And Pore Structure Pdf

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*Transport Processes in Porous Media pp Cite as. Pore size and pore size distribution are defined, 1-D pore structure models are reviewed.*

- Porous Media: Fluid Transport and Pore Structure
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## Porous Media: Fluid Transport and Pore Structure

The permeability is described by an effective hydraulic pore radius in the porous medium, the fluctuation in local hydraulic pore radii, the length of streamlines, and the fractional volume conducting flow.

The effective hydraulic pore radius is related to a characteristic hydraulic length, the fluctuation in local hydraulic radii is related to a constriction factor, the length of streamlines is characterized by a tortuosity, and the fractional volume conducting flow from inlet to outlet is described by an effective porosity.

The characteristic length, the constriction factor, the tortuosity, and the effective porosity are thus intrinsic descriptors of the pore structure relative to direction.

We show that the combined effect of our pore structure description fully describes the permeability of a porous medium. We also apply this theory to full network models of Fontainebleau sandstone, where we show how the pore structure and permeability correlate with porosity for such natural porous media. This work establishes how the permeability can be related to porosity, in the sense of Kozeny—Carman, through fundamental and well-defined pore structure parameters: characteristic length, constriction, and tortuosity.

Abstract — In this article, we present fundamental transport property relations incorporating direct descriptors of the pore structure. The pore structure descriptors are defined from streamline decomposition of the numerical solutions of the transport equations.

These descriptors have been introduced earlier, while the calculations are extended to voxel-based microstructures in this article. The pore structure descriptors for the respective transport equations are used in turn to obtain rigorous cross-property relations for porous media. We derive such cross-property relations exemplarily for computed tomography CT data and digital rock models of Fontainebleau sandstone, and CT data of two reservoir sandstone facies.

Pore structure parameterizations of these porous media are given for electrical conductance and fluid permeability in the microstructure, yielding correlations for the transport property-dependent descriptors of effective porosity, tortuosity and constriction. These relations are shown to be well-correlated functions over the range of sample porosities for the Fontainebleau sandstone.

Differences between the outcrop Fontainebleau sandstone and the reservoir samples are observed mainly in the derived hydraulic length descriptor. A quantitative treatment of the obtained cross-property functions is provided that could be applied for porous medium characterization. It is suggested that such cross-property investigation honoring the detailed microstructure will lead to more fundamental relations between porous medium properties, which could be exploited for example in rock typing or wire-line log interpretation.

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Dullien F. Second Edition, Academic Press, , pages, ISBN: This book examines the relationship between transport properties and pore structure of porous material. Models of pore structure are presented with a discussion of how such models can be used to predict the transport properties of porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. Practical applications are given where applicable, and are expected to be useful for a large number of different fields, including reservoir engineering, geology, hydrogeology, soil science, chemical process engineering, biomedical engineering, fuel technology, hydrometallurgy, nuclear reactor technology, and materials science. Key Features: Presents mechanisms of immiscible and miscible displacement hydrodynamic dispersion process in porous media. Examines relationships between pore structure and fluid transport.

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Due to the complexity of porous media, it is difficult to use traditional experimental methods to study the quantitative impact of the pore size distribution on multiphase flow. In this paper, the impact of two pore distribution function types for three-phase flow was quantitatively investigated based on a three-dimensional pore-scale network model. Additionally, the formation of wetting film is better for the process of displacement. Porous media exists in most areas of science and engineering, and the multiphase flow phenomenon has important application significance in scientific research and engineering technology development. Example applications include reservoir exploration and development, protection and pollution control of soil and groundwater, drying approaches in various industrial processes, and so on [ 1 ]. The porous media with a changeable microcosmic pore structure as well as interfacial properties results in complicated multiphase flow in porous media and a microscopic distribution of multiphase fluid in pores.

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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Dullien, Academic Press, pp. Mohanty Published Chemistry Aiche Journal.

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Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Dullien Published Materials Science.

The permeability is described by an effective hydraulic pore radius in the porous medium, the fluctuation in local hydraulic pore radii, the length of streamlines, and the fractional volume conducting flow. The effective hydraulic pore radius is related to a characteristic hydraulic length, the fluctuation in local hydraulic radii is related to a constriction factor, the length of streamlines is characterized by a tortuosity, and the fractional volume conducting flow from inlet to outlet is described by an effective porosity. The characteristic length, the constriction factor, the tortuosity, and the effective porosity are thus intrinsic descriptors of the pore structure relative to direction. We show that the combined effect of our pore structure description fully describes the permeability of a porous medium. We also apply this theory to full network models of Fontainebleau sandstone, where we show how the pore structure and permeability correlate with porosity for such natural porous media. This work establishes how the permeability can be related to porosity, in the sense of Kozeny—Carman, through fundamental and well-defined pore structure parameters: characteristic length, constriction, and tortuosity.

Porous media: Fluid transport and pore structure. By F. A. L. Dullien, Academic Press, pp., Kishore K. Mohanty. Dept. of Chemical Engineering.

#### Introduction

Dullien, A. The importance of pore structure in determining capillary and flow phenomena in porous media is pointed out in a number of examples, mostly involving outcrop sandstones. The use of two kinds of bivariate pore size distributions is shown to be a versatile approach to characterizing pore structure. They together describe capillary hysteresis for both independent and interacting domains, and one of them correlates tertiary oil displacement efficiencies with pore structure; it also results in good predictions of the permeabilities and electric resistivity factors of tightly consolidated porous media such as sand- stones. As is generally known, barring the presence of special effects, the flow of homogeneous fluids through porous media, under conditions of relatively low velocity follows Darcy's law:. Where v is the filter or seepage velocity, k is the permeability, VP is the pressure gradient and P the viscosity of the fluid.

This book examines the relationship between transport properties and pore structure of porous material. Models of pore structure are presented with a discussion of how such models can be used to predict the transport properties of porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. Practical applications are given where applicable, and are expected to be useful for a large number of different fields, including reservoir engineering, geology, hydrogeology, soil science, chemical process engineering, biomedical engineering, fuel technology, hydrometallurgy, nuclear reactor technology, and materials science. Civil, chemical, and petroleum engineers; geochemists; geophysicists, geologists, and hydrogeologists. We are always looking for ways to improve customer experience on Elsevier.

A porous medium or a porous material is a material containing pores voids. The pores are typically filled with a fluid liquid or gas. The skeletal material is usually a solid , but structures like foams are often also usefully analyzed using concept of porous media. A porous medium is most often characterised by its porosity. Other properties of the medium e. Even the concept of porosity is only straightforward for a poroelastic medium.

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Лично я проходил это в четвертом классе. Сьюзан вспомнила стандартную школьную таблицу. Четыре на шестнадцать. - Шестьдесят четыре, - сказала она равнодушно.

Садитесь! - рявкнул Нуматака. Она опустилась на стул. - В четыре сорок пять ко мне на личный телефон поступил звонок. Вы можете сказать, откуда звонили? - Он проклинал себя за то, что не выяснил этого раньше. Телефонистка нервно проглотила слюну.

*В глазах Клушара вспыхнуло возмущение.*

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