The rheological and microstructural characterisation of the non-linear flow behaviour of concentrated oil-in-water emulsions

1999 ◽  
Vol 38 (2) ◽  
pp. 145-159 ◽  
Author(s):  
C. Bower ◽  
C. Gallegos ◽  
M. R. Mackley ◽  
J. M. Madiedo
Keyword(s):  
Flow Behaviour ◽  
Linear Flow ◽  
Oil In Water ◽  
Non Linear ◽  
Microstructural Characterisation

Non-linear flow behaviour of rough fractures having standard JRC profiles

2015 ◽  
Vol 76 ◽  
pp. 192-199 ◽  
Author(s):  
Mahdi Zoorabadi ◽  
Serkan Saydam ◽  
Wendy Timms ◽  
Bruce Hebblewhite
Keyword(s):  
Flow Behaviour ◽  
Linear Flow ◽  
Non Linear

Study on the Flow Characteristics of Shengli Oilfield Super Heavy Oil

2017 ◽  
Vol 10 (1) ◽  
pp. 69-78 ◽  
Author(s):  
Wang Shou-long ◽  
Li Ai-fen ◽  
Peng Rui-gang ◽  
Yu Miao ◽  
Fu Shuai-shi
Keyword(s):  
Pressure Drop ◽  
Pressure Gradient ◽  
Heavy Oil ◽  
Flow Characteristics ◽  
Fluid Viscosity ◽  
Linear Flow ◽  
Start Up ◽  
Non Linear ◽  
Core Permeability ◽  
Velocity Pressure

Objective:The rheological properties of oil severely affect the determination of percolation theory, development program, production technology and oil-gathering and transferring process, especially for super heavy oil reservoirs. This paper illustrated the basic seepage morphology of super heavy oil in micro pores based on its rheological characteristics.Methods:The non-linear flow law and start-up pressure gradient of super heavy oil under irreducible water saturation at different temperatures were performed with different permeable sand packs. Meanwhile, the empirical formulas between start-up pressure gradient, the parameters describing the velocity-pressure drop curve and the ratio of gas permeability of a core to fluid viscosity were established.Results:The results demonstrate that temperature and core permeability have significant effect on the non-linear flow characteristics of super heavy oil. The relationship between start-up pressure gradient of oil, the parameters representing the velocity-pressure drop curve and the ratio of core permeability to fluid viscosity could be described as a power function.Conclusion:Above all, the quantitative description of the seepage law of super heavy oil reservoir was proposed in this paper, and finally the empirical diagram for determining the minimum and maximum start-up pressure of heavy oil with different viscosity in different permeable formations was obtained.

scholarly journals Linear and non-linear flow mode in Pb–Pb collisions at sNN=2.76 TeV

2017 ◽  
Vol 773 ◽  
pp. 68-80 ◽  
Author(s):  
S. Acharya ◽  
D. Adamová ◽  
J. Adolfsson ◽  
M.M. Aggarwal ◽  
G. Aglieri Rinella ◽  
...  
Keyword(s):  
Flow Mode ◽  
Linear Flow ◽  
Non Linear

scholarly journals Multi-Scale Insights on the Threshold Pressure Gradient in Low-Permeability Porous Media

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 364 ◽  
Author(s):  
Huimin Wang ◽  
Jianguo Wang ◽  
Xiaolin Wang ◽  
Andrew Chan
Keyword(s):  
Porous Media ◽  
Pressure Gradient ◽  
Water Saturation ◽  
Flow Behavior ◽  
Low Permeability ◽  
Threshold Pressure ◽  
Threshold Pressure Gradient ◽  
Linear Flow ◽  
Multi Scale ◽  
Non Linear

Low-permeability porous medium usually has asymmetric distributions of pore sizes and pore-throat tortuosity, thus has a non-linear flow behavior with an initial pressure gradient observed in experiments. A threshold pressure gradient (TPG) has been proposed as a crucial parameter to describe this non-linear flow behavior. However, the determination of this TPG is still unclear. This study provides multi-scale insights on the TPG in low-permeability porous media. First, a semi-empirical formula of TPG was proposed based on a macroscopic relationship with permeability, water saturation, and pore pressure, and verified by three sets of experimental data. Second, a fractal model of capillary tubes was developed to link this TPG formula with structural parameters of porous media (pore-size distribution fractal dimension and tortuosity fractal dimension), residual water saturation, and capillary pressure. The effect of pore structure complexity on the TPG is explicitly derived. It is found that the effects of water saturation and pore pressure on the TPG follow an exponential function and the TPG is a linear function of yield stress. These effects are also spatially asymmetric. Complex pore structures significantly affect the TPG only in the range of low porosity, but water saturation and yield stress have effects on a wider range of porosity. These results are meaningful to the understanding of non-linear flow mechanism in low-permeability reservoirs.

Conservation Law of Energy Using Fractional Taylor Series

2016 ◽  
Vol 841 ◽  
pp. 105-109
Author(s):  
Ali Soroush ◽  
Farzam Farahmand
Keyword(s):  
Taylor Series ◽  
Conservation Law ◽  
Control Volume ◽  
Fractional Differentiation ◽  
Linear Flow ◽  
First Order ◽  
Taylor Series Approximation ◽  
Series Approximation ◽  
Non Linear ◽  
Flow Power

Customary conservation law of energy is commonly derived using first-order Taylor series, which is only valid for situation of linear changes in the flow of energy in control volume. It is shown that using high-order Taylor series will approximate non-linear changes in the flow of energy but in fact some error remains. We used fractional Taylor series which exactly represent non-linear flow of energy in control volume. By replacing the customary integer-order Taylor series approximation with the fractional-order Taylor series approximation, limitation of the linear flow of energy in the control volume and the restriction that the control volume must be infinitesimal is omitted. The innovation of this paper is we show that as long as the order of fractional differentiation is equal with flow power-law, the fractional conservation law of energy will be exact and it can be used for fluid in a porous medium.

The flow of polycrystalline metals under simple shear. Ill

1963 ◽  
Vol 271 (1347) ◽  
pp. 472-498 ◽  
Keyword(s):  
Simple Shear ◽  
Fixed Number ◽  
Flow Behaviour ◽  
Flow Properties ◽  
Linear Flow ◽  
Forward Flow ◽  
Polycrystalline Metals ◽  
Slip Bands ◽  
Final Strain ◽  
General Explanation

The flow behaviour of poly crystalline lead under simple shear has been further investigated, the method involving an annulus cut in a disk being supplemented by a method that utilizes a rectangular plate cut with two rectangular grooves, which makes for easy photomicrography. It has been found that in a region of strain below that in which the t 1/3 law is valid a t 1/2 law holds precisely, from a strain of 0.01 upwards. The transition between the t 1/2 and t 1/3 flow is continuous and expressible in terms of the constants of the two régimes. When preceded by a t 1/2 régime the t 1/3 law holds with the time as measured from the first imposition of stress, an explanation of which is offered in terms of a first process involving the establishment of glide planes and a second process consisting in the establishment of glide lamellae on a fixed number of planes, optically visible as coarse slip bands. The flow behaviour of the metal at strains of less than 0.01, where the t 1/2 law does not prevail, and the magnitude of the immediate strain have received attention. The flow linear with time which ensues on a first reversal of stress has been further examined. It has been shown in particular that, although the flow is uniform, the metal is changing its properties with time, since when a re-reversal is effected at an interval after the reversal, the behaviour depends upon the interval. This throws some light on the mechanism of the linear flow. Repeated reversals of stress at intervals equal to the duration of first forward flow produce a succession of alternate linear and t 1/3 stages, with an increase of strain at each cycle. The final strain can attain a large value without recrystallization. Repeated reversals at intervals larger than the duration of the first forward flow produce a more complicated behaviour which leads to recrystallization at small strains. It appears from this and other experimental results that a t 1/3 forward flow followed by a reverse linear flow of approximately the same duration, in which the same slip bands have been shown to be involved, is a comparatively simple process which restores the metal to a state in some respects similar to that on first application of stress. Some attention has been paid to the effect of grain size and surface conditions. The general flow properties of polycrystalline lead under the simple mechanical conditions in question have been reviewed and a general explanation attempted of the behaviour under forward and reversed stress.

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