Analysis of the Impact of Fluid Viscosities on the Rate of Countercurrent Spontaneous Imbibition

Standnes, Dag Chun; Andersen, Pål Østebø

doi:10.1021/acs.energyfuels.7b00863

Cited by 38 publications

(12 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…66,83,96 The latest model is shown in eq 30. 66 It accounts for the effect of end points of relative permeability functions, the curvature of the relative permeability curves, and a fluid−fluid interaction that considers the viscous coupling effects. Therefore, it, in principle, is universally valid for co-current imbibition, all fluid viscosities, and all relative permeability shapes where k rwe and k rnwe are the relative permeabilities of the wetting and non-wetting phases at the end point, respectively, α and β are the saturation exponents of the wetting and nonwetting phases, respectively, which are related to the Coreytype expression, 97 S w * is a characteristic saturation of the wetting phase, which is usually equal to 0.5, and I is a fluid− fluid interaction coefficient.…”

Section: Handy's Model For Imbibition In Rocksmentioning

confidence: 99%

See 1 more Smart Citation

A Critical Review of Enhanced Oil Recovery by Imbibition: Theory and Practice

Tian

Gao

et al. 2021

Energy Fuels

View full text Add to dashboard Cite

Imbibition is very common, occurring in life, material, chemistry, and energy. It plays an important role in enhanced oil recovery (EOR). The development of many reservoirs is beneficial to the imbibition process, such as fractured reservoirs, conventional reservoirs developed by a water-injection mode of huff-n-puff in their later development, and unconventional reservoirs with abundant micro–nanopores developed by the fracturing technology. Here, we present a critical review of EOR through imbibition. First, the mechanisms of EOR through imbibition are reviewed, including the mechanical analysis of imbibition in a capillary, imbibition models for rocks, and the scaling law. Then, the governing factors of EOR by imbibition are summarized, including the properties of rocks and fluids and the effects of the temperature and pressure. Besides, the EOR by imbibition in the oil and gas development is discussed, including the roles of surfactants, nanofluids, salinity, shut-in time, and injection/production rates. Finally, conclusions and outlooks are presented. This review provides systematic and recent insights about EOR by imbibition and a direction for future research on this topic, which can help for a better understanding of EOR by imbibition.

show abstract

Section: Handy's Model For Imbibition In Rocksmentioning

confidence: 99%

“…When eqs , , , , , and are combined, then eq can be written as follows: The conservation equation of the wetting phase (displacing phase) is written as follows: , where S is the saturation.…”

Section: Mechanisms Of Eor By Imbibitionmentioning

confidence: 99%

A Critical Review of Enhanced Oil Recovery by Imbibition: Theory and Practice

Tian

Gao

et al. 2021

Energy Fuels

View full text Add to dashboard Cite

show abstract

“…So-called COUC relative permeabilities is a concept introduced to account for the observed lower fractional recovery rate in COUC SI tests compared to cocurrent SI tests. The physical argument for introducing COUC relative permeability curves is based on that momentum transfer between two immiscible fluids is dependent on whether the fluids are moving co- or counter currently. , Since the magnitude and impact this effect may have on the individual water and oil relative permeability curves, the concept of COUC relative permeabilities adds uncertainty when such processes are simulated. The choice used by Bourbiaux and Kalaydjian was to reduce the measured water and oil cocurrent relative permeability curves with the same factor (= 0.7) when used to simulate COUC processes.…”

Section: Results and Discussionmentioning

confidence: 99%

“…The physical argument for introducing COUC relative permeability curves is based on that momentum transfer between two immiscible fluids is dependent on whether the fluids are moving co-or counter currently. 58,59 Since the magnitude and impact this effect may have on the individual water and oil relative permeability curves, the concept of COUC relative permeabilities adds uncertainty when such processes are simulated.…”

Section: Resultsmentioning

confidence: 99%

Interpretation of 1-D Counter-Current Spontaneous Imbibition Processes Using Microscopic Diffusion Theory and a Modified Buckley–Leverett Approach

et al. 2020

Self Cite

View full text Add to dashboard Cite

This paper presents a new convenient and easy-to-use method to analyze and calculate measurable quantities in 1-D counter-current (COUC) spontaneous imbibition (SI) processes. Cumulative water imbibed vs time can be calculated both up to and after the water has contacted the no-flow boundary as well as the time required to contact the no-flow boundary. The model’s applicability for the whole process is a big advantage compared to other models which only are valid before this event. The method is developed based on a hypothesis that a frontal advance equation (FAE) also can be established for 1-D COUC SI processes in line with the Buckley – Leverett method for forced water imbibition. A relationship between distance traveled, x, by a diffusing water saturation, S w, and time of the form, , is identified from the microscopic theory for diffusion. The proportionality factor between distance and time is the square root of the capillary diffusion coefficient, assumed to be constant for a given water saturation, S w. The corresponding cumulative water volume diffusing into the medium for the same water saturation, S w, is calculated from the diffusion equation using the same constant capillary diffusion coefficient D(S w). The final step to establish the FAE is to recalculate the cumulative volume of water imbibed to an equivalent distance (ED) waterfront, i.e., the distance traveled by the imbibing water phase having the same cumulative volume water imbibed as calculated from the diffusion equation. The FAE is similar to the water saturation characteristics in the BL method. The results for cumulative water imbibed vs time is giving a highly accurate approximation when compared to analytical solutions (i.e., the McWhorter and Sunada solution), deviating slightly from the correct value due to the use of constant diffusion coefficients. The difference can be corrected by a factor in the range 1.0–1.24 for the four data sets considered. The conclusion obtained by comparing the FAE method result to the only experiment data set in the literature where all input data are available, GVB-3 (Bourbiaux and Kalaydjian, 1990), is that the new FAE cannot be falsified within the input parameter uncertainty range. The FAE method is qualitatively corroborated by the results from four 1-D COUC SI cases using synthetic input data as well comparison with many other test results reported in the literature.

show abstract

“…Moreover, it has been observed that inclusion of the fluid-fluid interaction termk ow (u w − u o ) can give improvements over standard Darcy's equation based formulation for water-oil flow in porous media. We refer to [35,31] for a first discussion of this in the context of core scale modelling and generalized permeability functions and [36] for a discussion of this generalized two-phase flow in the context of imbibition (i.e., capillary pressure driven counter-current flow). • The viscous terms ε o ∇ · (n∇u o ) and ε w ∇ · (m∇u w ) in (1.1) 3,4 can account for frictional forces within the fluid due to its viscosity.…”

Section: (Communicated By Paola Goatin)mentioning

confidence: 99%

Compressible and viscous two-phase flow in porous media based on mixture theory formulation

Qiao¹,

Wen²,

Evje³

2019

Networks &Amp; Heterogeneous Media

View full text Add to dashboard Cite

The purpose of this work is to carry out investigations of a generalized two-phase model for porous media flow. The momentum balance equations account for fluid-rock resistance forces as well as fluid-fluid drag force effects, in addition, to internal viscosity through a Brinkmann type viscous term. We carry out detailed investigations of a one-dimensional version of the general model. Various a priori estimates are derived that give rise to an existence result. More precisely, we rely on the energy method and use compressibility in combination with the structure of the viscous term to obtain H 1 -estimates as well upper and lower uniform bounds of mass variables. These a priori estimates imply existence of solutions in a suitable functional space for a global time T > 0. We also derive discrete schemes both for the incompressible and compressible case to explore the role of the viscosity term (Brinkmann type) as well as the incompressible versus the compressible case. We demonstrate similarities and differences between a formulation that is based, respectively, on interstitial velocity and Darcy velocity in the viscous term. The investigations may suggest that interstitial velocity seems more natural to use in the formulation of momentum balance than Darcy velocity.

show abstract

Analysis of the Impact of Fluid Viscosities on the Rate of Countercurrent Spontaneous Imbibition

Cited by 38 publications

References 40 publications

A Critical Review of Enhanced Oil Recovery by Imbibition: Theory and Practice

A Critical Review of Enhanced Oil Recovery by Imbibition: Theory and Practice

Interpretation of 1-D Counter-Current Spontaneous Imbibition Processes Using Microscopic Diffusion Theory and a Modified Buckley–Leverett Approach

Compressible and viscous two-phase flow in porous media based on mixture theory formulation

Contact Info

Product

Resources

About