Modelling and Simulation of Fluid Flow/Solid Particles with a New Contact Model

2018 ◽  
Author(s):  
Salah Zouaoui ◽  
Hassane Djebouri ◽  
Kamal Mohammedi
Keyword(s):  
Fluid Flow ◽  
Modelling And Simulation ◽  
Solid Particles ◽  
Contact Model

A Two-Dimensional Model of Particle Motion in Ureteral Peristaltic Flow

2009 ◽  
Author(s):  
Joel Jiménez-Lozano ◽  
Mihir Sen ◽  
Patrick Dunn
Keyword(s):  
Fluid Flow ◽  
Particle Motion ◽  
Muscular Contraction ◽  
Perturbation Series ◽  
Peristaltic Flow ◽  
Solid Particles ◽  
Navier Stokes ◽  
Regular Perturbation ◽  
Nonuniform Fluid ◽  
Embryo Transport

Physiological fluids in human or animals are, in general, propelled by the continuous periodic muscular contraction or expansion (or both) of the ducts through which the fluids pass, a phenomenon known as peristalsis. Peristaltic mechanisms may be involved in the swallowing of food through the esophagus, vasomotion of small blood vessels, spermatic flows in the ductus efferentes, embryo transport in the uterus, and transport of urine through the ureters, among others [1]. Peristaltic fluid flow can be accompanied by solid particles. In this work the Basset-Boussinesq-Oseen (BBO) equation will be employed to analyze particle motion in peristaltic fluid flow, this model considers motion of a small spherical particle suspended in a nonuniform fluid flow and diverse forces are considered. In ureteral peristaltic flow, fluid being transported is essentially Newtonian and incompressible. Ureteral peristaltic flow is sometimes accompanied by particles such as stones or bacteria. In the present study, the geometrical form of the peristaltic wave will be taken to be sinusoidal. The governing equations are Navier-Stokes for the fluid and momentum for the particle (BBO equation). A regular perturbation series in which the variables are expanded in a power series of the wavenumber (ε = πRw/λ) is used to solve the fluid problem. One-way coupling between the fluid and particles is assumed.

Modelling and Simulation of Heterogeneous and Anisotropic Formations using Advanced Fractal Reservoir Models

2020 ◽  
Author(s):  
Piroska Lorinczi ◽  
Paul Glover ◽  
Al-Zainaldin Saud ◽  
Saddam Sinan ◽  
George Daniel
Keyword(s):  
Fluid Flow ◽  
Production Rate ◽  
Water Saturation ◽  
Modelling And Simulation ◽  
Core Material ◽  
Reference Case ◽  
Hydrocarbon Production ◽  
Fractal Approach ◽  
Reservoir Models ◽  
Wide Range

<p>Energy and carbon-efficient exploitation, management, and remediation of subsurface aquifers, gas and oil resources, CO<sub>2</sub>-disposal sites, and energy storage reservoirs all require high quality modelling and simulation. The heterogeneity and anisotropy of such subsurface formations has always been a challenge to modellers, with the best current technology not being able to deal with variations at scales of less than about 30-50 m. Most formations exhibit heterogeneities and anisotropy which result in variations of the petrophysical properties controlling fluid flow down to millimetre scale and below. These variations are apparent in well-logs and core material, but cannot be characterised in the inter-well volume which makes up the great majority of the formation.</p><p>This paper describes a new fractal approach to the modelling and simulation of heterogeneous and anisotropic aquifers and reservoirs. This approach includes data at all scales such that it can represent the heterogeneity of the reservoir correctly at each scale.</p><p>Advanced Fractal Reservoir Models (AFRMs) in 3D can be produced using our code. These AFRMs can be used to model fluid flow in formations generically to understand the effects of an imposed degree of heterogeneity and anisotropy, or can be conditioned to match the characteristics of real aquifers and reservoirs. This paper will show how 3D AFRMs can be created such that they represent critical petrophysical parameters, as well as how fractal 3D porosity and permeability maps, synthetic poro-perm cross-plots, water saturation maps and relative permeability curves can all be calculated. It will also show how quantitative controlled variation of heterogeneity and anisotropy of generic models affects fluid flow. We also show how AFRMs can be conditioned to represent real reservoirs, and how they provide a much better simulated fluid flow than the current best technology.</p><p>Results of generic modelling and simulation with AFRMs show how total hydrocarbon production, hydrocarbon production rate, water cut and the time to water breakthrough all depend strongly on heterogeneity, and also depend upon anisotropy. Modelling with different degrees and directions of anisotropy shows how critical hydrocarbon production data depends on the direction of the anisotropy, and how that changes over the lifetime of the reservoir.</p><p>Advanced fractal reservoir models are of greatest utility if they can be conditioned to represent individual reservoirs. We have developed a method for matching AFRMs to aquifer and reservoir data across a wide range of scales that exceeds the range of scales currently used in such modelling. We show a hydrocarbon production case study which compares the hydrocarbon production characteristics of such an approach to a conventional krigging approach. The comparison shows that modelling of hydrocarbon production is appreciably improved when AFRMs are used, especially if heterogeneity and anisotropy are high. In this study AFRMs in moderate to high heterogeneity reservoirs always provided results within 5% of the reference case, while the conventional approach resulted in massive systematic underestimations of production rate by over 70%.</p>

Theory of Plasticity of Porous Media With Fluid Flow

1974 ◽  
Vol 14 (03) ◽  
pp. 263-270 ◽  
Author(s):  
Milos Kojic ◽  
J.B. Cheatham
Keyword(s):  
Plastic Deformation ◽  
Porous Medium ◽  
Porous Media ◽  
Fluid Flow ◽  
General Theory ◽  
Pressure Gradient ◽  
Yield Criterion ◽  
Solid Particles ◽  
Fluid Mixture ◽  
Moving Fluid

Abstract Plastic deformation of a porous medium containing moving fluid is analyzed as a motion of a solid-fluid mixture. The fluid is considered to be Newtonian, and the porous material consists of interconnected pore spaces and of solid particles that can deform pore spaces and of solid particles that can deform elastically. The effective stress principle and a general form of the yield function-including work-hardening characteristics-and general stress-strain relations are applied to describe the plastic deformation of the solid. The system of plastic deformation of the solid. The system of governing equations with the number of unknowns being equal to the number of equations is formed. A possible method of solution of a general problem is described. Some simplification such as problem is described. Some simplification such as the assumptions of quasi-static plastic deformation and incipient plastic deformation with the application of Darcy's law for the fluid flow are discussed. To illustrate an application of the theory, the problem of incipient plane plastic deformation of a Coulomb material is presented. Introduction The motion of fluid through a porous medium and the deformation of a porous medium containing fluid have been the subjects of many investigations. For problems concerning fluid flow through porous media in petroleum and civil engineering literature, the porous material is usually considered undeformable and Darcy's law is taken as the governing relation between the velocity and the pressure of the fluid. pressure of the fluid. Most of the effort concerning fluidization of porous media has been experimental; here the task porous media has been experimental; here the task is to find the critical pressure gradient or the critical velocity of the fluid that will cause fluidization. Only the one-dimensional equilibrium equation, which relates Ne pressure gradient of the fluid and densities of solid and fluid, has been analyzed in most fluidization studies. Recently, a more general theoretical approach has been taken and equations of motion of fluid and solid have been established. Some of the results of this theory are used in the present study. Previous investigations of the deformation of porous media containing fluid have been both porous media containing fluid have been both empirical and theoretical. In the domain of elastic deformation much of the published material has dealt with experimental work aimed at finding the relation between a change in fluid pressure and stresses and deformation of the solid phase. A general theory of elasticity of porous media containing moving fluid was established by Biot. However, that theory is approximate since Darcy's law is considered as a governing relation for the fluid, and the change of permeability with the deformation of the solid is neglected. A simplification of this theory was presented by Lubinski. Experimental work has been carried out in the domain of plastic deformation of porous media containing fluid. The effective stress principle has been established as a result of experiments using saturated sand and porous rocks with various pore pressures (fluid is static in these experiments. pressures (fluid is static in these experiments. This principle, which is considered as a fundamental principle in soil mechanics, states that the pore principle in soil mechanics, states that the pore pressure does not affect the yield criterion of the pressure does not affect the yield criterion of the solid. In other words, the yield condition of the solid depends only on stresses transmitted among the solid particles. The influence of fluid flow on plasticity of porous media was indicated by Lambe and Whitman porous media was indicated by Lambe and Whitman in the analysis of stability of an infinite slope of a soil. In the equilibrium equation of a so-called "free body" a term equal to the negative pressure gradient is added. There is no general theory for plasticity of porous media containing moving fluid. plasticity of porous media containing moving fluid. GENERAL THEORY Consider the motion of a solid-fluid mixture and suppose that the motion of the solid is a plastic deformation. Then the problem reduces to the following: define the motion of a solid-fluid mixture so that the yield criterion of the solid is satisfied. The mechanical model can be described as follows. 1. The system comprises one fluid and one should constituent. SPEJ P. 263

scholarly journals Numerical Investigation of Jamming of Solid Particles in a Straight Pipe

1996 ◽  
Author(s):  
Yi Sun ◽  
Oleg Vinogradov
Keyword(s):  
Fluid Flow ◽  
Fluid Velocity ◽  
Solid Particles ◽  
Spherical Particles ◽  
Critical Parameters ◽  
Straight Pipe ◽  
Volumetric Density ◽  
Physical Experiments ◽  
Variable Topology ◽  
Two Parameters

The flow of fluids containing solid particles is numerically simulated in order to determine the critical parameters of the system leading to a jam. Two parameters are varied: the volumetric density of solid particles and the velocity of fluid flow. The energy dissipation in the system is due to dry friction losses and collisions. The results presented are based on the mathematical models of granular materials treated as multibody systems with variable topology. The fluid flow is considered to be potential. It is shown that jamming strongly depends on the volumetric density of particles and fluid velocity. The results of numerical experiments are in qualitative agreement with physical experiments of flow of spherical particles in a pipe.

scholarly journals Transport of Solid Particles with Fluid Flow in Rotating Pipes

2019 ◽  
Vol 9 (2) ◽  
pp. 201-206
Author(s):  
F.Sh. Zabirov ◽  
B.M. Latypov ◽  
R.G. Sharafiev ◽  
R.A. Gilmanshin
Keyword(s):  
Fluid Flow ◽  
Experimental Studies ◽  
Equation System ◽  
Solid Particles ◽  
Sand Transport ◽  
Operating Life ◽  
Surface Type ◽  
Horizontal Pipe ◽  
Study Results ◽  
Carry Over

Abstract The article addresses the recent problem of borehole lifting of oil containing sand solids. The presence of sand in oil produced results in a reduced operating life of downhole equipment. The problem of preventing sanding up and sand formation in pumping equipment may be solved and stable sand production may be ensured by producing oil using borehole screw pumps with a surface-type drive, in which the screw is rotated by rotating hollow rods. Rotating hollow rods improve carry-over of sand particles to the surface with rotational oil flow by imparting additional momentum to these particles. Rotational variables of the pipe (cylinder) that enables transport of solids are set only for the air flow moving in a horizontal pipe (cylinder). The purpose of the study is to establish pipe rotational variables in directional wells that enable stable sand transport with fluid flow. Work results have been obtained from numerical studies using the differential equation system and rules of theoretical solid movement, computer simulation and experimental results processing at a laboratory facility. Theoretical study results have been acknowledged by experimental studies. The work establishes the criteria that allow defining the speed range of directional hollow rods that enables carry-over of solids to the surface with fluid flow. Study results may be used to produce oil with submersible screw pumps with a surface-type drive that use hollow sucker rods for pump down.

scholarly journals ANALYSIS OF THE NUMERICAL MODELLING OF TURBULENCE IN THE CONICAL REVERSE-FLOW CYCLONE

2010 ◽  
Vol 2 (5) ◽  
pp. 17-22
Author(s):  
Inga Jakštonienė ◽  
Petras Vaitiekūnas
Keyword(s):  
Fluid Flow ◽  
Numerical Modelling ◽  
Reverse Flow ◽  
Three Dimensional ◽  
Cylindrical Part ◽  
Solid Particles ◽  
Good Prediction ◽  
Transfer Equations ◽  
Volume Method ◽  
Tangential Inlet

The paper describes the numerical modelling of the swirling fluid flow in the Stairmand cyclone (conical reverse-flow – CRF) with tangential inlet (equipment for separating solid particles from the gaseous fluid flow). A review of experimental and theoretical papers is conducted introducing three-dimen­sional differential equations for transfer processes. The numerical modelling of the Stairmand cyclone the height of which is 0.75 m, diameter – 0.17 m, the height of a cylindrical part – 0.290 m, a conical part – 0,39 m and an inlet area is 0,085×0,032 m is presented. When governing three-dimensional fluid flow, transfer equations Navje-Stokes and Reynolds are solved using the finite volume method in a body-fitted co-ordinate system using standard k– e and RNG k– e model of turbulence. Modelling is realised for inlet velocity 4.64, 9.0 and 14.8 m/s (flow rate was 0.0112, 0.0245 and 0.0388 m3/s). The results obtained from the numerical tests have demonstrated that the RNG k– e model of turbulence yields a reasonably good prediction for highly swirling flows in cyclones: the presented numerical results (tangential and radial velocity profiles) are compared with numerical and experimental data obtained by other authors. The mean relative error of ± 7,5% is found.

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