Consider an incompressible homogeneous fluid flow combined with a macroscopic representation of flow in heterogeneous porous media. Flow of homogeneous fluids through porous media originally published in 1937 and translated into russian years later. Pdf fluid flow in homogeneous and heterogeneous porous media. Most porous solids are inhomogeneous and anisotropic, and the flows of fluids taking place through such porous solids may show features very different from that of flow through a porous medium with constant porosity and permeability. This paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. Dec 15, 2009 the flow of homogeneous fluids through porous media by m. In 1937 muskat published the flow of homogeneous fluids through porous media. The flow of homogeneous fluids through porous media, core. It is well known that when a porous medium filled with some fluid is. Fundamental equations for primary fluid recovery from porous.
Many combinations of configurations, important fluidmechanical forces, and boundary conditions have been studied. Muskat, january 31, 1982, springer edition, hardcover in english 1 edition. Panfilov, m 2000 macroscale models of flow through highly heterogeneous porous media kluwer academic publication. The flow of homogeneous fluids through porous media, book. Analysis of variable porosity, thermal dispersion, and local. Using the finite difference technique, zhao and toks6z 1991 have studied the effects of heterogeneity on the steady fluid flow in porous media. Buy the flow of homogeneous fluids through porous media on free shipping on qualified orders. Large emphasize is put on discussing results of experimental analogues such as heat flow and electric current.
Flow control of fluids through porous media, applied. Morris muskat and 1897 ralph dewey wyckoff abstract this book was originally begun as a joint undertaking with mr. Thus, layered heterogeneous medium is more appropriate as a protective filter for seepage control. Accordingly, flow through heterogeneous, but isotropic porous media, of a homogeneous fluid of mass density, p, moving at a velocity, the macroscopic fluid pore velocity and related to the fluid flux vector. The physical models studied consist of random threedimensional arrays of homogeneous porous blocks. It would not very much be overstatement to say that everything in and around us is porous through which our world flows. On the flow of fluids through inhomogeneous porous media due. Home august 1938 volume 46 issue 2 the flow of homogeneous fluids through porous media. The flow of heterogeneous fluids through porous media. Morris, 1907flow of homogeneous fluids through porous media. Discretization and gridding in reservoir simulation 2. The flow of heterogeneous fluids through porous media nasa. Morris muskat 21 april 1906 20 june 1998 was an american petroleum engineer.
Extraordinary biomassburning episode and impact winter triggered by the younger dryas cosmic impact. Dec 01, 2012 this paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. In this book muskat focused on flow of singlephase fluid in a porous medium, and what. The rate, magnitude and direction of seepage of fluid flow in porous media are vital tools in seepage and drainage control in soils.
The transformation is also used to derive the equations governing steady twodimensional flows and steady axisymmetric flows of a fluid of variable viscosity and specific weight. Muskat, the flow of homogeneous fluids through porous media, mcgrawhill, new york, 1937. Pdf this paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. Morris, 1907flow of homogenous fluids through porous media. Morris, 1907 flow of homogeneous fluids through porous media. The imbibition phenomenon in double phase flow during displacement process through homogeneous porous medium with capillary pressure, due to difference in wetting abilities of the two immiscible fluids flowing in the medium. The objectives of this study were to investigate the difference in the flow rate of fluid in. Fluid flow in homogeneous and heterogeneous porous media. Experimental investigation of flow characteristics in porous. Pdf flow control of fluids through porous media researchgate. A calculation is given of the viscous force, exerted by a flowing fluid on a dense swarm of particles. Krumbein, the flow of homogeneous fluids through porous media. Konieczek, the concept of critical rate in gas coning and its use in production. Natural fractured reservoir engineering phdg textbooks in preparation, intended to be issued during 2015.
The flow of fluids is described by the boussinesq equation with. Flow of viscoelastic fluids through porous media slattery. The effect of permeability variation on both the steadystate and the transient flow of a single fluid has been investigated. The flow of homogeneous fluids through porous media muskat m.
Primary fluid recovery from a porous medium is driven by the volumetric expansion of the in situ fluid. Dec 27, 2004 in part i the general partial differential equations are derived for the flow of compressible liquids and of gases through porous media, on the basis of the generalized darcy law that. Understanding natural flows in porous media with low reynolds number re has significant implications for both science and engineering. As commonly observed, some fluid flows through the media while some mass of the fluid is stored in the pores present in the media. The flow through porous media happens in countless number of applications ranging from geophysical flow, recovery of oil, gas, minerals from mother earth, transport and sequestration of contaminant in subsurface, to the large scale chemical processes involving catalyst. The model underlying these calculations is that of a spherical particle embedded in a porous mass.
William nelson geochemical and geophysical research, chemical effluents technology, chemical laboratory abstract stream functions are derived for general threedimensional flow of nondiffusive fluids through heterogeneous porous media. A calculation of the viscous force exerted by a flowing fluid. Numerical solutions of imbibition in double phase flow. The movement of wetting and nonwetting fluid flow in columns packed with glass beads is used to understand the more complicated flows in homogeneous porous media. In this study, we will model the dynamic fluid flow in the het erogeneous porous media using the theory ofdynamic permeability. Aug 22, 2016 study reveals new physics of how fluids flow in porous media key flow mechanisms, crucial to carbon sequestration and fuelcell operation, have been visualized. For steady state flow such that inertial effects can be neglected, a resistance transformation is. The flow of homogeneous fluids through porous media, by h. Please redirect your searches to the new ads modern form or the classic form.
It is found that the properties of these flow systems change but little from the corresponding ones for homogeneous fluids as long as the pressure exceeds about. The flow of homogenous fluids through porous media. Flow control of fluids through porous media sciencedirect. In fluid mechanics, fluid flow through porous media is the manner in which fluids behave when flowing through a porous medium, for example sponge or wood, or when filtering water using sand or another porous material. The flow of compressible fluids through porous media and some. A calculation of the viscous force exerted by a flowing. Study reveals new physics of how fluids flow in porous media. The flow of homogeneous fluids through porous media muskat, m. Chapter 4 flow through porous mediaa simulation approach before embarking into the aspects of simulation of multiphase fluid flow through porous medium, let us glance through components required to construct the geological reservoir model. Mathematical treatment of saturated macroscopic flow in. In this book muskat focused on flow of singlephase fluid in a porous medium, and what type of differential equation can be used to model this flow behavior. Muskat m and wycoff r d, the flow of homogeneous fluids through porous media. However, knowledge and experimental gaps remain regarding such natural flows. Wyckoff, and its plan and much of the material were outlined jointly.
The flow of homogeneous fluids through porous media hathitrust. Local volume averaging of the equations of continuity and of motion over a porous medium is discussed. In this context, we designed a sand columnbased laboratory filtration experiment to investigate flow characteristics in porous media with low re. Pdf fluid flow in homogeneous and heterogeneous porous. For production from a petroleum reservoir, primary recovery accounts for more than half of the total amount of recovered hydrocarbon. Khillar, k and fogler, s 1998 migration of fines in porous media. Fluid flow in porous media montanuniversitat leoben. The flow of homogeneous fluids through porous media. A finitedifference method will be developed to model the effects of heterogeneities.
The flow of homogeneous fluids through porous media full. Introduction this chapter deals with the knowledge of very basic concepts of hydrodynamics and basics of fluid mechanics, which is essential part of study to have better understanding of behavior of particle in flow. The flow of homogeneous fluids through porous media 1937. The speed of the actual flow is obtained by dividing the speed of the homogeneous fluid flow by a factor proportional to the actual viscosity. However, fluid flow in homogeneous porous media is generally faster than that of heterogeneous media of similar geometry and grain packing. The flow through this porous mass is decribed by a modification of darcys equation. The flow of homogeneous fluids through porous media by m. Incompressible free surface fluid flow in porous media has been the subject of many. Limited comparisons with field and laboratory data have been made. An analysis of the movement of wetting and nonwetting fluids.
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