• The results of experimental and theoretical investigations of miscible displacement process of compressible fluids within fractured porous media are reported. (onepetro.org)
  • A general state-based peridynamics model for multiphase, multicomponent flow of non-Newtonian and compressible fluids is developed to simulate transport of fluids in an arbitrary heterogeneous porous medium. (ornl.gov)
  • The generality encompasses modeling of multiphase, multicomponent flow of non-Newtonian and compressible fluids, which is often encountered in but not limited to subsurface reservoirs. (ornl.gov)
  • As commonly observed, some fluid flows through the media while some mass of the fluid is stored in the pores present in the media. (wikipedia.org)
  • A particular physical framework of interest in digital rocks physics is to describe how a fluid flows through a given material driven by a pressure difference. (springer.com)
  • Models of fluid flows in porous materials commonly fall short because they fail to capture the effects of the puzzling underlying microscopic dynamics. (ugent.be)
  • In FLOWSCOPY, I will cause a paradigm shift by resolving this inaccessibility, enabling the measurement of unsteady 3D flows inside opaque porous materials. (ugent.be)
  • Second, I will unriddle flows of viscoelastic fluids, such as those to clean up polluted sediments, which exhibit a poorly understood transition from steady to chaotic dynamics. (ugent.be)
  • The relative roles of parameters governing relative permeability, a crucial property for two-phase fluid flows, are incompletely known. (wiley.com)
  • 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. (wikipedia.org)
  • Classical flow mechanics in porous media assumes that the medium is homogenous, isotropic, and has an intergranular pore structure. (wikipedia.org)
  • 2] KANGO S.K., SINGH V., Thermosolutal convection in Rivlin-Ericksen fluid in the presence of Hall currents in porous medium in hydromagnetics, Int. J. of Applied Mechanics and Engineering, 2012, 17 (1), 71-82. (sciendo.com)
  • Paper presented at the Symposium on Mechanics of Rheologically Complex Fluids, Houston, Texas, December 1966. (onepetro.org)
  • A thorough review of the subject of the application of micropolar fluid mechanics has been given by Lukaszewicz [ 3 ] and Ariman et al. (hindawi.com)
  • A readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. (doverpublications.com)
  • The book begins with a derivation of the equations of fluid motion from statistical mechanics, followed by examinations of the classical theory and a portion of the modern mathematical theory of viscous, incompressible fluids. (doverpublications.com)
  • Here we revisit and expand the work of Pascal and Pascal [4], who analyzed the dynamics of a moving stable interface in a semi-infinite porous domain saturated by two fluids, displacing and displaced, both non-Newtonian of power-law behavior, assuming continuity of pressure and velocity at the interface, and constant initial pressure. (witpress.com)
  • A single-molecule study on polymer fluid dynamics in porous media. (edu.sa)
  • Dive into the research topics of 'A single-molecule study on polymer fluid dynamics in porous media. (edu.sa)
  • This research area includes analysis of differential equations, especially those which occur in applications in the natural sciences, such as fluid dynamics, materials science, or mathematical physics. (siam.org)
  • Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational fluid dynamics. (jyu.fi)
  • In this study, computational fluid dynamics (CFD) modeling was conducted to optimize gas sampling locations for the early detection of spontaneous heating in longwall gob areas. (cdc.gov)
  • Experimental results compared well with model predictions based on a computational fluid dynamics fire dynamics simulator. (cdc.gov)
  • While the early studies about phase change in porous media treated melting and solidification as conduction-controlled, the effect of natural convection is often very important. (thermalfluidscentral.org)
  • The movement of a fluid through porous media is described by the combination of Darcy's law with the principle of conservation of mass in order to express the capillary force or fluid velocity as a function of various other parameters including the effective pore radius, liquid viscosity or permeability. (wikipedia.org)
  • According to Darcy's law, the fluid's viscosity, effective fluid permeability, and fluid pressure gradient determine the flow rate at any given location in the reservoir. (wikipedia.org)
  • The permeability of complex porous materials is of interest to many engineering disciplines. (springer.com)
  • Permeability is a property of the porous medium that measures the capacity and ability of the formation to transmit fluids. (perminc.com)
  • The rock permeability, k, is a very important rock property because it controls the directional movement and the flow rate of the reservoir fluids in the formation. (perminc.com)
  • By analogy with electrical conductors, permeability represents reciprocal of residence which porous medium offers to fluid flow. (perminc.com)
  • A porous material has permeability equal to 1 Darcy if a pressure difference of 1 atm will produce a flow rate of 1 cm 3 / sec of a fluid with 1 cP viscosity through a cube having side 1 cm in length. (perminc.com)
  • The outlet fluid composition and flow rate is measured and used in determining the relative permeability. (perminc.com)
  • Additionally, it demonstrates the role of microfluidic platforms in providing a more representative and accurate model for polymer retention and permeability reduction in porous media. (edu.sa)
  • This work presents a fractal porous medium model to predict gob porosity and permeability for controlling methane flow and to predict air leakage into the gob. (cdc.gov)
  • Figure 2‑80-a is a simplified schematic diagram detailing the fluid saturation in the core during a typical unsteady-state test. (perminc.com)
  • Unsteady Inertial Effects in Fluid Flow Through Porous Media. (epa.gov)
  • Numerical Methods for Unsteady Thermal Fluid Structure Interaction, in S. Frei, B. Holm, T. Richter, T. Wick and H. Yang (eds), Fluid-Structure Interaction. (lu.se)
  • 10] SURESH CHAND, Effect of rotation on triple-diffusive convection in Walters' (Model B′) fluid in porous medium, Research J. Science and Tech., 5(1), Jan.-Mar. 2013, 184-188. (sciendo.com)
  • 11] VERONIS G., Thermohaline convection in a layer of fluid heated from below, J. Marine Res. (sciendo.com)
  • Convection-controlled melting and solidification of PCMs saturated in porous media are discussed in the following topics. (thermalfluidscentral.org)
  • Natural convection in an inclined fluid layer with a transverse magnetic field. (polymtl.ca)
  • Jena and Mathur [ 6 ] further studied the laminar free convection flow of thermomicropolar fluids past a nonisothermal vertical plate. (hindawi.com)
  • This study presents a theoretical analysis for the problem of steady, laminar mixed convection heat transfer from a hot/cold vertical plate embedded in a fluid-saturated porous medium. (ktu.edu.tr)
  • Porous Convection, the Chebyshev Tau Method, and Spurious Eigenvalues. (dur.ac.uk)
  • A comprehensive study of mass transfer and thermal radiation on a steady two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium in the presence of heat generation is analyzed numerically. (hindawi.com)
  • Micropolar fluids may also represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of the particle is ignored. (hindawi.com)
  • Non-Newtonian fluid flow, mass transfer through diffusion, and multiphase and multicomponent fluid flow are the primary flow issues. (wikipedia.org)
  • We present a general state-based peridynamic formulation for multiphase, multicomponent fluids showing varying compressibility and non-Newtonian behavior. (ornl.gov)
  • To demonstrate its capability to simulate multiphase flow in porous media, the derived model is verified against the analytical Buckley-Leverett solution for immiscible Newtonian two-phase flow. (ornl.gov)
  • Advances in computational and image acquisition capabilities have made direct simulation of multiphase fluid flow through porous media possible. (tees.ac.uk)
  • For the calculation of capillary imbibition speed of a liquid to an initially dry medium, Washburn's or Bosanquet's equations are used. (wikipedia.org)
  • Local volume-averaging of the equations of continuity and of notion over a porous medium, is discussed. (onepetro.org)
  • Micropolar fluids are fluid with microstructure. (hindawi.com)
  • The attractiveness and power of the model of micropolar fluids are come from the fact that it is both a significant and a simple generalization of the classical Navier-Stokes model. (hindawi.com)
  • The theory of micropolar fluids developed by Eringen [ 1 ] and has been a field of very active research for the last few decades as this class of fluids represents, mathematically, many industrial important fluids such as paints, body fluids, polymers, colloidal fluids, suspension fluids, animal blood, liquid crystal, and so forth among the various non-Newtonian fluids models. (hindawi.com)
  • Eringen [ 2 ] has also developed the theory of thermomicropolar fluids by the extending theory of micropolar fluids. (hindawi.com)
  • However, of late the effects of MHD to the micropolar fluids problem are very important. (hindawi.com)
  • It also assumes that the fluid is a Newtonian fluid, that the reservoir is isothermal, that the well is vertical, etc. (wikipedia.org)
  • On the basis of these studies the fluids miscible filtration mechanism within naturally fractured reservoirs is established.The influence of such factors as reservoir performance, dynamic characteristics of displacement process including displacement rates, the magnitude of rock pressure and rates of its variation on the displacement effectiveness was revealed. (onepetro.org)
  • The choice of test method should be made with due regard for reservoir saturation history, rock and fluid properties. (perminc.com)
  • The process of resonant acoustic response of a porous fluid-saturated reservoir of a hierarchical structure to an acoustic frequency stimulation located in an elastic N-layer medium with plastic properties is written using an algorithm. (digiwire.co.in)
  • The color map produced is useful to provide accurate estimates of k nw in reservoir-scale simulations and to help identify the optimum properties of the immiscible fluids to be used in a geologic reservoir. (wiley.com)
  • Finally, I will apply the methods' transformative capabilities to two pertinent problems in arguably some of the most complex porous media: geological materials. (ugent.be)
  • Based on the discussion of the Noll simple fluid, a suggestion is made for the correlation and extrapolation of experimental data for a single viscoelastic fluid in a set of geometrically similar porous structures. (onepetro.org)
  • We assume that the fluid is described by the 3D incompressible Stokes system, with a non-linear viscosity following the Carreau law of flow index 1 (hal.science)
  • To characterize the influence of viscosity ratio ( M ) and capillary number ( Ca ), we calculated relative permeabilities of nonwetting fluids ( k nw ) and wetting fluids ( k w ) in a 3D model of Berea sandstone under steady state condition using the lattice-Boltzmann method. (wiley.com)
  • However, the use of Darcy's law alone does not produce accurate results for heterogeneous media like shale, and tight sandstones, where there is a huge proportion of nanopores. (wikipedia.org)
  • In particular, the simulation convergence time scales poorly as the simulation domains become less porous or more heterogeneous. (springer.com)
  • Finally, for an isotropic porous structure [the proper values of the resistance transformation are all equal and are termed the resistance coefficient] and an incompressible fluid, the functional dependence of the resistance coefficient is discussed using the Buckingham-Pi theorem for an Ellis model fluid, a power-model fluid, a Newtonian fluid and a Noll simple fluid. (onepetro.org)
  • In the fourth section we consider the problem for the incompressible Noll simple fluid, currently believed to be a general description of a wide variety of memory fluids. (onepetro.org)
  • Nevertheless, characterization based on stand-alone images does not provide enough insight on how the small-scale structures affect the macroscopic behavior for a given phenomenon (i.e., fluid flow). (springer.com)
  • As for the problem of crack propagation in poroelastic media, the behavior is asymptotically drained at the crack-tip. (unimore.it)
  • Understanding the dynamic behavior of polymeric fluids in porous media is essential for vast geoscience applications, particularly enhanced oil recovery and polymer-enhanced soil washing, to clean up soil contamination. (edu.sa)
  • During the past decades, the behavior of polymeric fluids in microscopic space has only been investigated using ensemble-averaged experimental methods in which a bulk phase behavior of the fluids characterizes flow mechanisms. (edu.sa)
  • Here we report direct visualization and multi-scale characterization of the dynamic behavior of polymer molecules in a representative porous medium by integrating microfluidics with single-molecule imaging. (edu.sa)
  • Our study illustrates how microfluidics can help in understanding the dynamic behavior of polymers, their interactions with the solid/fluid interface and their effects on flow properties. (edu.sa)
  • The obtained insights encourage the development of improved models that better capture the behavior of complex fluids in confined environments and have significant implications for a wide range of applications in geoscience, materials science, and rheology. (edu.sa)
  • It has been suggested that the observed shear-thinning behavior of HPAM solutions at low flux in porous media could be an experimental artifact due to the use of insufficiently accurate pressure transducers. (hw.ac.uk)
  • We show that k nw increases and k w decreases as M increases due to the lubricating effect, locally occurred pore-filling behavior, and instability at fluid interfaces. (wiley.com)
  • A more robust way of understanding these (and potentially being able to upscale them) is through simulating the underlying physics of fluid flow. (springer.com)
  • nInvited to give a course of 6 lectures on Porous Flow, at the International\nSummer School in Mathematical Physics, Ravello, Italy, September 2003. (dur.ac.uk)
  • Displacement of non-Newtonian fluid in porous media is of paramount importance in the flow modeling of oil reservoirs. (witpress.com)
  • The Buckley-Leverett equation for linear fluid displacement is the basis for all calculations. (perminc.com)
  • Furthermore, the non-Newtonian two-phase fluid flow in porous media is verified by simulating the polymer flood process involving an immiscible displacement of a Newtonian fluid by a non-Newtonian fluid against a generalized solution. (ornl.gov)
  • We present the outcomes of a high-resolution direct-simulation two-phase fluid displacement study performed on a series of five two-dimensional images of sandy porous media produced using erosion and dilation algorithms. (tees.ac.uk)
  • Our results show that the drainage and imbibition processes result in very distinct fluid displacement patterns in these models at the pore scale. (tees.ac.uk)
  • Problem statement: This paper presents the findings of a research of seism acoustic emission in a porous two-phase geological environment under acoustic impact. (digiwire.co.in)
  • In this work, we address this limitation with a general multiscale deep learning model that is able to learn from porous media simulation data. (springer.com)
  • The basic law governing the flow of fluids through porous media is Darcy's Law, which was formulated by the French civil engineer Henry Darcy in 1856 on the basis of his experiments on vertical water filtration through sand beds. (wikipedia.org)
  • Q = − k A μ ( d p d x ) {\displaystyle Q={\frac {-kA}{\mu }}\left({\frac {dp}{dx}}\right)} Darcy's law is valid for situation where the porous material is already saturated with the fluid. (wikipedia.org)
  • The flow law for both fluids is a modified Darcy's law. (witpress.com)
  • The object of this paper is to develop by a method considerably different from Whitaker's an extension of Darcy's law which is appropriate to viscoelastic fluids. (onepetro.org)
  • These limitations have been attributed to insufficient understanding of liquid configuration and growth media transport processes in reduced gravity. (psu.edu)
  • The objective of this NASA-funded research program is the quantitative characterization of physical processes associated with flow of wetting and non-wetting phases in particulate plant growth media that are essential for successful design and control of plant production systems during space flight. (psu.edu)
  • Combined heat and mass transfer in fluid-saturated porous media finds applications in a variety of engineering processes such as heat exchanger devices, petroleum reservoirs, chemical catalytic reactors and processes, geothermal and geophysical engineering, moisture migration in a fibrous insulation and nuclear waste disposal, and others. (hindawi.com)
  • Typical Results: The relationship between resonant frequencies of acoustic emission was discovered for the first time, and these values were used in the algorithm of modelling acoustic processes in a fluid saturated nonlinear plastic environment. (digiwire.co.in)
  • Coupling the nonlinear flow law with the continuity equation considering the fluids compressibility, yields a set of nonlinear second-order PDEs. (witpress.com)
  • Hady [ 10 ] studied the solution of a heat transfer to a micropolar fluid from a nonisothermal stretching sheet with injection. (hindawi.com)
  • 12 ] studied a numerical solution for heat transfer in a micropolar fluid over a stretching sheet. (hindawi.com)
  • Abo-Eldahab and Ghonaim [ 14 ] investigated the convective heat transfer in an electrically conducting micropolar fluid at a stretching surface with uniform free stream. (hindawi.com)
  • Our prime motivation here is thermal interaction between fluids and structures, also called conjugate heat transfer. (lu.se)
  • For steady-state flow such that inertial effects can be neglected, a resistance transformation is introduced which in part transforms the local average velocity vector into the local force per unit volume which the fluid exerts on the pore walls. (onepetro.org)
  • So it is not correct to use the Poiseuille's equation for flow in the porous media. (perminc.com)
  • In 1856, D' Arcy (commonly known as Darcy) developed a fluid flow equation that has since become one of the standard mathematical tools of the petroleum engineer. (perminc.com)
  • The velocity, u , in Equation 2-29 is not the actual velocity of the flowing fluid but is the apparent velocity determined by dividing the flow rate by the cross-sectional area across which fluid is flowing. (perminc.com)
  • Whitaker has recently derived a generalization of Eq. 2 appropriate to anisotropic porous media by taking a local average of the equation f motion. (onepetro.org)
  • The physicochemical flow process will involve various physical property changes and chemical reactions in contrast to the basic Newtonian fluid in the classical flow theory of porous system. (wikipedia.org)
  • We consider the flow of a generalized Newtonian fluid through a thin porous medium of thickness ε, perforated by periodically distributed solid cylinders of size ε. (hal.science)
  • Pressure drop (ΔP) versus volumetric injection rate (Q) data from linear core floods have typically been used to measure in situ rheology of non-Newtonian fluids in porous media. (hw.ac.uk)
  • First, I will investigate how two fluids, such as water and H 2 , displace each other in porous rocks, lifting the veil on capillary fluctuations that deviate from current models. (ugent.be)
  • Electrophoresis employs a uniformly maintained electric field, which influences particles suspended in a fluid, through which this electric field is passed. (cdc.gov)
  • Studies of viral attachment to cells on porous collagen-I coated microcarrier beads under cultured gastrointestinal epithelial cells (Caco-2) using conditions of physiological fluid shear in rotating wall ves- recombinant virus-like particles or infectious noroviruses sel bioreactors. (cdc.gov)
  • The implants Titamax® and External Hex (Titanium Fix, São José dos Campos, Brazil) exhibited characteristics of roughness through the blasting of particles, and OSSEOTITE®, Revolution® Implant (Sin, São Paulo, Brazil) and porous Master® (Connection System Prostheses, Aruja, Brazil) had porous characteristics analyzed by a scanning electron microscope (SEM) and energy dispersive spectroscopy (EDS). (bvsalud.org)
  • The considerations on the efficiency decrease of fluids extraction from fractured porous reservoirs assuming the use of different technological solutions: selection of optimal techniques of wells position, regulation and redistribution of injection rates and production rates of wells, and also cycling pressure variation within rocks are expressed. (onepetro.org)
  • The formulation presented in this work, combined with a peridynamics-based damage model, can be used to simulate hydraulic fracturing with complex fluids. (ornl.gov)
  • As a benchmark case, we simulate flow in porous media and measure both strong and weak scaling performance with the emphasis being on large-scale simulations using realistic input data. (jyu.fi)
  • We propose a theory to account for the NMR relaxation of water protons in situations in which the fluid is confined to porous structures exhibiting a scarce distribution of paramagnetic centers on their surface. (bvsalud.org)
  • Results from plant growth experiments utilizing particulate growth media during space flight revealed difficulties associated with providing reliable and reproducible water and air supply to plant roots. (psu.edu)
  • Transport in Porous Media. (wikipedia.org)
  • This information gap has made it impossible to determine whether culturing technique or microgravity significantly effects water and air transport through particulate media in microgravity. (psu.edu)
  • Enhanced NMR relaxation of fluids confined to porous media: A proposed theory and experimental tests. (bvsalud.org)
  • Application of the new methods to experimental data also enabled accurate investigation of memory and rate effects during polymer flow through porous media. (hw.ac.uk)
  • In the last few decades, micro-tomographic imaging in conjunction with direct numerical simulations (digital rock technologies) have been developed extensively to act as a complementary tool for laboratory measurements of porous materials (Schepp et al. (springer.com)
  • This relationship is useful in designing engineered porous materials where pore sizes need to be estimated based on grain sizes. (tees.ac.uk)
  • Cover upholstered furniture and porous materials that cannot be washed with sheets, blankets, tarps, and other covers. (cdc.gov)
  • Traditional flow issues in porous media often involve single-phase steady state flow, multi-well interference, oil-water two-phase flow, natural gas flow, elastic energy driven flow, oil-gas two-phase flow, and gas-water two-phase flow. (wikipedia.org)
  • Instead, the test involves displacing in-situ fluids with a constant rate/pressure driving fluid. (perminc.com)
  • We demonstrate that the polymers' adsorption, entrapment and hydrodynamic retention contribute to their overall retention in porous media. (edu.sa)
  • Based on results from pore network modelling, Chauveteau (1981) demonstrated that polymer flow in porous media may at some rate be influenced by the prior history. (hw.ac.uk)
  • 5] PEARLSTEIN A.J., HARRIS R.M., TERRONES G., The onset of convective instability in triply diffusive fluid layer, J. Fluid Mech. (sciendo.com)
  • Modeling soil venting in a three fluid phase porous medium for hydroca" by Jagath J. Kaluarachchi, J. S. Rainer et al. (usu.edu)
  • An example is application of volume of fluid modeling on images produced using the X-ray computed micro-tomography technique. (tees.ac.uk)
  • An asymptotic solution is obtained for stress and pore pressure fields near the tip of a crack steadily propagating in an elastic-plastic fluid-saturated porous material displaying linear isotropic hardening. (unimore.it)
  • In the third and fourth sections we specialize to isotropic media and consider the functional dependence of the resistance parameter by means of the Buckingham-Pi theorem. (onepetro.org)
  • One of the main results of the paper is to show that the local anisotropy introduced by the dominant dipolar coupling in the relaxation rates of active surface elements induces a measurable dependence on sample orientation in the overall relaxation rates of the saturating fluid provided its confining structure is not statistically isotropic. (bvsalud.org)
  • Na and Pop [ 11 ] investigated the boundary layer flow of micropolar fluid due to a stretching wall. (hindawi.com)
  • Pavlov [ 15 ] studied the boundary layer flow of an electrically conducting fluid due to a stretching of a plane elastic surface in the presence of a uniform transverse magnetic field. (hindawi.com)
  • The lattice Boltzmann method is a well-established numerical approach for complex fluid flow simulations. (jyu.fi)