fundamentals of fluid flow in porous media

... These include: ● linear flow of incompressible fluids; ● linear flow of slightly compressible fluids; ● linear flow of compressible fluids; ● radial flow of incompressible fluids; ● radial flow of ... 21Hemispherical flow Trang 22Number of flowing fluids in the reservoir There are generally three cases of flowing system: (1) single-phase flow (oil, water, or gas); (2) two-phase flow (oil–water, ... many engineering purposes, the actual flow geometry may be represented by one of the following flow geometries: Trang 17Radial flow Trang 18Linear flow Trang 19Linear flow Trang 20Spherical flow

Ngày tải lên: 07/04/2023, 06:26

... Flow Processes in Porous Media Hartmut Eichel, Rainer Heling, Insa Neuweiler and Olaf A Cripka 237–257 Trang 7Multiphase flow in porous media is an extremely important process in a number of industrial ... 2UPSCALING MULTIPHASE FLOW IN POROUS MEDIATrang 3Upscaling Multiphase FlowUtrecht University, The Netherlands Part of this volume has been published in the Journal Transport in Porous Media vol ... theoretical work in order to gain insight into the various aspects of this phenomenon Thus, in this paper, we try to gain insight into the underlying physics of Equation (2) and the effect of various

Ngày tải lên: 05/05/2018, 14:19

... German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com c
Springer-Verlag Berlin Heidelberg 2005 Printed in The Netherlands The use of general descriptive ... numericallyaccording to prescribed initial and/or boundary conditions In spite of contin-uing improvement in numerical results, this avenue of research has not led tothe hoped-for increase in understanding In ... understanding of hysteresis in wetting and drainage developedin the 1980s is lacking today, at least if one inquires into the usual literature In addition, the summaries of the work done during that

Ngày tải lên: 07/09/2020, 11:08

... theequal-eigenvalue point of the initial tie line, 2) use of an intermediate tie line, which we term the double contact tie line (C-tie line) and 3) utilization of the interior branch of the nontie-line path ... tie-line path to the nontie-line path A nontie-line rarefaktion connects the initial tie line to the injection tie line (B to C1) At point C1, the landing point of the nontie-line path on the injection ... consists of solving a system of conservation laws in an infinite domain, with piecewise-constant initial states separated by a single discontinuity Continuous variation of the solution from the injection

Ngày tải lên: 19/10/2022, 01:23

... two-phase flow · Ergodicity 1 Introduction The characterization of porous media at the pore level is undergoing a revolution (Blunt the pore space completely, including the tracking of motion of immiscible ... defined by the positions of all fluid interfaces We show that the configuration probability is proportional to the inverse of the flow rate Using a two-dimensional network, advancing the interfaces ... simulation of the flow of two immiscible fluids in a porous medium under macroscopic steady-state conditions using a dynamical pore network model that tracks the motion of the fluid interfaces

Ngày tải lên: 19/11/2022, 11:38

... system(1.1) and (1.2)will give us interesting properties on thewave curves together with characterizations of the existence domain of each kind of Riemann solutions when the initial databelong to different ... sgnðu0Þ u2lðqc 1qc1 Trang 7Eliminating u ¼ w3ðU0;qÞ in(2.15), we obtain the following nonlinear equation inqFðu1ðU0;aÞÞ ¼ Fðu2ðU0;aÞÞ ¼ 0: ð2:19Þ The following lemma characterizes the stationary ... in the ðq;plane uÞ-It is interesting to see that the shock speeds k1; k2may vanish, and therefore can coincide with the zero-shock speed of thestationary shocks, as indicated in the following

Ngày tải lên: 16/12/2017, 14:16

...      d where d is the mean grain diameter in porous media Streaming current in porous media The streaming current in a capillary of radius r under a fluid pressure difference (∆P rev) ... coefficient in porous media based on the fractal theory of porous media and on the streaming potential in a capillary The proposed model has been applied to explain the dependence of the streaming potential ... useful means for studying the transport phenomenon and analyzing the macroscopic transport properties of porous media To derive the streaming potential coefficient in porous media, a representative

Ngày tải lên: 12/02/2020, 21:35

... background of streaming potential 2.1 Physical chemistry of the electric double layer Streaming potential is the result of a coupling between fluid flow and electric current flow in a porous medium ... sleeve inside a conical stainless steel cell and inserted into a stainless steel holder to prevent flow a long the interface of the sample To measure the streaming potential as a function of temperature, ... negative and increases in magnitude with increasing temperature for all samples (an average increase of the zeta potential of 0.4 mV/ oC in magnitude) The experimental results are in good agreement

Ngày tải lên: 24/01/2021, 15:16

...      d where d is the mean grain diameter in porous media Streaming current in porous media The streaming current in a capillary of radius r under a fluid pressure difference (∆P rev) ... coefficient in porous media based on the fractal theory of porous media and on the streaming potential in a capillary The proposed model has been applied to explain the dependence of the streaming potential ... useful means for studying the transport phenomenon and analyzing the macroscopic transport properties of porous media To derive the streaming potential coefficient in porous media, a representative

Ngày tải lên: 27/01/2021, 06:29

... background of streaming potential 2.1 Physical chemistry of the electric double layer Streaming potential is the result of a coupling between fluid flow and electric current flow in a porous medium ... potential obtained in this work is always negative and increases in magnitude with increasing temperature for all samples (an average increase of the zeta potential of 0.4 mV/ oC in magnitude) ... sleeve inside a conical stainless steel cell and inserted into a stainless steel holder to prevent flow a long the interface of the sample To measure the streaming potential as a function of temperature,

Ngày tải lên: 04/02/2021, 10:27

... variety of influential factors, including the magnitude of strain/stress, number of loading cycles, number of loading occurrences, tensor of strain, and the strain energy density, can result in bone ... and inhibits Wnt/𝛽-catenin signaling by binding to LRP5 and preventing the binding of Wnt Dkk-1 is highly expressed in osteocytes [67–69] Clinical trial studies using antibodies to sclerostin ... ImP and bone strain in response to a range of loading frequencies of 1 Hz to 10 Hz [51–54] DHS-induced ImP in the stimulated tibia was in a nonlinear fashion over the range of loading frequencies,

Ngày tải lên: 02/11/2022, 14:34

... increasing length of porous media The compressibility of a fluid (C f) is defined as: www.intechopen.com Steady State Compressible Fluid Flow in Porous Media  C f 473 d  dp (13) Combination of equations ... following data were obtained www.intechopen.com Steady State Compressible Fluid Flow in Porous Media 487 Flow rate (Q) = 1,000cc of air in 500sec Pressure down stream of core (p2) = atm absolute Flowing ... compressibility of a real gas p1 = Pressure at inlet end of porous medium p2 = pressure at exit end of porous medium θ = Angle of inclination of porous medium with horizontal in degrees z2 =...

Ngày tải lên: 27/07/2014, 23:44

... MODEL OF FLUID FLOW AND HEAT TRANSFER WITH POROUS MEDIA XIONG JIE B Eng HUST A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING DEPARTMENT OF MECHANICAL ENGINEERING NATIONAL UNIVERSITY OF ... rule, makes simulation of flow in porous media by suitable LBM The main advantage of this method is that the local information of the flow can be obtained and CHAPTER INTRODUCTION used to study ... simulation of flow in porous media by introducing a term describing the no-slip boundary condition By this approach, the loss of momentum resulting from the solid obstacles is incorporated into the...

Ngày tải lên: 16/09/2015, 12:42

... point “0”along the direction of main fluid flow and Y is the distance from the ribbed surface perpendicular to the direction of main fluid flow Figure Velocity profile for flow over an inclined ... enerzization of retarded main flow due to release of secondary flow through the gap This is in line with the assumption of the Cho et al [12] that a gap in the inclined rib accelerates the flow through ... discretization of the continuous rib The present investigation was therefore, taken up to determine the optimum width of a gap in the inclined rib to form discrete rib This study will help in determining...

Ngày tải lên: 05/09/2013, 16:10

... discontinuities at finitely many points and we integrate them using the definition of Riemann integral of a function f (t) over the interval [a,b]:  b a n f (t ) dt  lim  f ( in ) ( tin  tin ... (E((B(tin )  B(tin ))2 )) (2.3.11) E(( B(tin )  B(tin ))2 ) is the variance of an independent increment { B(tin )  B(tin )} As seen before, Var[ B(tin )  B(tin )]  (tin  tin ) Therefore, ... continuous functions are the main concern The integral converges regardless of the chosen  in within [ tin , tin ] A generalization of Riemann integral is Stieltjes integral which is defined...

Ngày tải lên: 28/06/2014, 08:20

... discontinuities at finitely many points and we integrate them using the definition of Riemann integral of a function f (t) over the interval [a,b]:  b a n f (t ) dt  lim  f ( in ) ( tin  tin ... (E((B(tin )  B(tin ))2 )) (2.3.11) E(( B(tin )  B(tin ))2 ) is the variance of an independent increment { B(tin )  B(tin )} As seen before, Var[ B(tin )  B(tin )]  (tin  tin ) Therefore, ... continuous functions are the main concern The integral converges regardless of the chosen  in within [ tin , tin ] A generalization of Riemann integral is Stieltjes integral which is defined...

Ngày tải lên: 29/06/2014, 09:20

... transiently increasing fluid- phase endocytosis; and they are capable of producing intracellular actin and myosin filaments that are oriented in the flow direction Eskin et al (1984) investigated ... driven flow in an inclined square cavity 152 Fig 2.7 Grid system utilized in the inclined square cavity (a coarse grid is shown here) 152 Fig 2.8 Streamlines at different Re numbers in the inclined ... one of the most important nutrients for cells However, it is often the limiting nutrient because of the difficulty in bringing sufficient amounts of oxygen to the surface of the cells mainly...

Ngày tải lên: 12/09/2015, 21:13

... the flow of the fluid itself, and the second the transport of a solute introduced into the flow at a specific point in space The fluid flow problem is usually one of stationary flow, i.e, the fluid ... and heat flow within porous media is also of significant importance in many other fields of science and engineering, such as drying of biological materials and biomedical studies But in these ... transport in porous media We believe that the problem of modeling transport processes in porous media is a natural setting to discuss applications of stochastic dynamics We hope that the engineering...

Ngày tải lên: 22/03/2014, 15:20

... determine the rate of biodegradation of specific contaminants in groundwater during a field study Mass flux of the studied contaminant through a line/cluster of wells (a transect) is recorded instead ... reached as a final timepoint, an earlier time was chosen for the kinetics calculation, if possible; the use of zero as a denominator in the first-order rate equation would result in an “infinite” value ... leveled off at that point for the remainder of the experiment, the final concentration and time were chosen at the point where the concentration leveled off In column studies, the time field in the...

Ngày tải lên: 28/03/2014, 19:20

... Berlin/Figueres Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Contents Treatment of Rising Damp in Historical Buildings Ana Sofia Guimarães, ... presented in Fig This type of experiment is interesting in the way it provides an easy assessment of the transient behaviour of a building element Just by watching the curves, the effect of painting ... the level of rising damp, conducted at the Building Physics Laboratory, Faculty of Engineering, University of Porto, has yielded interesting results Numerical simulation studies, using the programme...

Ngày tải lên: 31/03/2014, 16:20