Topic

# Displacement (fluid)

About: Displacement (fluid) is a research topic. Over the lifetime, 4073 publications have been published within this topic receiving 57350 citations.

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TL;DR: In this paper, the authors present the results of network simulators (100 × 100 and 25 × 25 pores) based on the physical rules of the displacement at the pore scale, and they show the existence of the three basic domains (capillary fingering, viscous fingering and stable displacement) within which the patterns remain unchanged.

Abstract: Immiscible displacements in porous media with both capillary and viscous effects can be characterized by two dimensionless numbers, the capillary number C, which is the ratio of viscous forces to capillary forces, and the ratio M of the two viscosities. For certain values of these numbers, either viscous or capillary forces dominate and displacement takes one of the basic forms: (a) viscous fingering, (b) capillary fingering or (c) stable displacement. We present a study in the simple case of injection of a non-wetting fluid into a two-dimensional porous medium made of interconnected capillaries. The first part of this paper presents the results of network simulators (100 × 100 and 25 × 25 pores) based on the physical rules of the displacement at the pore scale. The second part describes a series of experiments performed in transparent etched networks. Both the computer simulations and the experiments cover a range of several decades in C and M. They clearly show the existence of the three basic domains (capillary fingering, viscous fingering and stable displacement) within which the patterns remain unchanged. The domains of validity of the three different basic mechanisms are mapped onto the plane with axes C and M, and this mapping represents the ‘phase-diagram’ for drainage. In the final section we present three statistical models (percolation, diffusion-limited aggregation (DLA) and anti-DLA) which can be used for describing the three ‘basic’ domains of the phase-diagram.

1,378 citations

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TL;DR: In this article, the elastic moduli of the composite medium were derived for both solid and liquid inclusions in a solid matrix as well as for solid suspensions in a fluid matrix.

Abstract: The propagation of seismic waves in two‐phase media is treated theoretically to determine the elastic moduli of the composite medium given the properties, concentrations, and shapes of the inclusions and the matrix material. For long wavelengths the problem is formulated in terms of scattering phenomena in an approach similar to that of Ament (1959). The displacement fields, expanded in series, for waves scattered by an “effective” composite medium and individual inclusions are equated. The coefficients of the series expansions of the displacement fields provide a relationship between the elastic moduli of the effective medium and those of the matrix and inclusions. The expressions are derived for both solid and liquid inclusions in a solid matrix as well as for solid suspensions in a fluid matrix. Both spherical and oblate spheroidal inclusions are considered. Some numerical calculations are carried out to demonstrate the effects of fluid inclusions of various shapes on the seismic velocities in rocks. I...

1,210 citations

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01 Jan 1991

TL;DR: Plate and Shell bending approximation - thin (Kirchhoff) plates and C1 continuity requirements "Thick" Reissner-Mindlin plates - irreducible and mixed formulations shells as an assembly of flat elements axisymmetric shells shells as a special case of three-dimensional analysis.

Abstract: Plate and Shell bending approximation - thin (Kirchhoff) plates and C1 continuity requirements "Thick" Reissner-Mindlin plates - irreducible and mixed formulations shells as an assembly of flat elements axisymmetric shells shells as a special case of three-dimensional analysis - Reissner-Mindlin assumptions semi-analytical finite element processes - use of orthogonal functions and "Finite Strip" methods non-linear problems - plasticity, creep (viscoplasticity), non-linear field problems, etc. geometrically non-linear problems - large displacement and structural instability the time dimension - semi-discretization of field and dynamic problems and analytical solution procedures the time dimension - discrete approximation in time coupled systems convection dominated problems fluid mechanics - governing equations an incompressible flow Newtonian and non-Newtonian viscous flows compressible high-speed gas flow shallow water equations and waves computer procedures for finite element anlaysis.

598 citations

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TL;DR: A theory describing two-phase displacement in the gap between closely spaced planes as a double asymptotic expansion in the small parameters ε and Ca1/3 is developed.

Abstract: A theory describing two-phase displacement in the gap between closely spaced planes is developed. The main assumptions of the theory are that the displaced fluid wets the walls, and that the capillary number Ca and the ratio of gap width to transverse characteristic length e are both small. Relatively mild restrictions apply to the ratio M of viscosities of displacing to displaced fluids; in particular the theory holds for M = o(Ca−1/3). We formulate the theory as a double asymptotic expansion in the small parameters e and Ca1/3. The expansion in e is uniform while that in Ca1/3 is not, necessitating the use of matched asymptotic expansions. The previous work of Bretherton (1961) is clarified and extended, and both the form and the constants in the effective boundary condition of Chouke, van Meurs & van der Poel (1959) and of Saffman & Taylor (1958) are determined.

535 citations

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TL;DR: In this article, the dispersion characteristics of three different solid particles (corn, copper, and glass) injected in the flow are obtained by integrating the complete equation of particle motion along the instantaneous trajectories of 22-cubed particles for each particle type, and then by performing ensemble averaging.

Abstract: Results of a numerical investigation of the dispersion of solid particles in decaying isotropic turbulence are presented. The 3D time-dependent velocity field of a homogeneous nonstationary turbulence is computed using the method of direct numerical simulation (DNS). The dispersion characteristics of three different solid particles (corn, copper, and glass) injected in the flow are obtained by integrating the complete equation of particle motion along the instantaneous trajectories of 22-cubed particles for each particle type, and then by performing ensemble averaging. Good agreement was achieved between the present DNS results and the measured time development of the mean-square displacement of the particles. Questions of how and why the dispersion statistics of a solid particle differ from those of its corresponding fluid point and surrounding fluid and what influences inertia and gravity have on these statistics are also discussed.

441 citations