Modification of Buckley-Leverett and JBN methods for power-law fluids

Salman, M.; Baghdikian, S.Y.; Handy, L.L.; Yortsos, Y.C.

doi:10.2172/6934674

Cited by 3 publications

(2 citation statements)

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“…Compared with the steady-state method, much measurement time can be saved, so it is the most commonly used experimental method to acquire a relative permeability curve. Salman et al (1979) rederived the polymer solution fractional flow equation, based on which he rederived the modified J.B.N. [16].…”

Section: Introductionmentioning

confidence: 99%

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Iso-Permeability Point Trail Method to Determine the Relative Permeability Curve for a New Amphiphilic Polymer Flooding

Wang,

Ju,

Jin

et al. 2023

Energies

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Amphiphilic-polymer flooding, which can increase water viscosity, decrease oil viscosity, and improve oil displacement efficiency, is a promising oil exploitation method for heavy oil. Due to oil–water emulsification, shear-thinning, and changes in oil viscosity when determining the relative permeability data of new amphiphilic polymers, the conventional J.B.N. method is not accurate. This paper presents a new method called the iso-permeability point trial method to determine the relative permeability curve by combining the J.B.N. method, the Corey model, and the relationship between water saturation and the relative permeability ratio. To avoid using polymer viscosity, a mathematical equation was derived based on the characteristics of the relative permeability curve. The results indicate that the new method is feasible and the obtained curve is more reasonable and smooth. The influence of concentration, permeability, and oil viscosity on amphiphilic-polymer displacement relative permeability was also analyzed, demonstrating that under the same water saturation, the water relative permeability is lower than that of water flooding but the oil relative permeability is bigger, which manifests as the iso-permeability point moves to the right and results in a lower residual oil saturation. In addition, the aforementioned trends are more obvious when the amphiphilic-polymer concentration is high, formation permeability is low, and oil viscosity is low.

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Section: Introductionmentioning

confidence: 99%

“…Salman et al (1979) rederived the polymer solution fractional flow equation, based on which he rederived the modified J.B.N. [16]. However, the effective viscosity model of the polymer solution is based on the Blake-Kozney equation; therefore, it is a constant in the process of displacement, so it is relatively simple.…”

Section: Introductionmentioning

confidence: 99%

Iso-Permeability Point Trail Method to Determine the Relative Permeability Curve for a New Amphiphilic Polymer Flooding

Wang,

Ju,

Jin

et al. 2023

Energies

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Vertical displacement of a non-Newtonian Bingham plastic by a Newtonian phase in an axially composite reservoir

Constantino,

Rodríguez-Bermudez,

Francisco

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part L:

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In general, oil reservoirs may consist of composite sedimentary structures composed of materials such as sand, clay, or limestone, which exhibit varying lithology due to sedimentary processes. A comprehensive knowledge of this lithology is essential for accurately assessing their hydrocarbon storage and production capacity. Additionally, this information is indispensable for the implementation of various recovery techniques such as waterflooding, gas injection, surfactant injection, polymer injection, alkaline water solution injection, and others. Highly viscous oil can exhibit non-Newtonian behavior during water injection in certain cases. The use of surfactants, alkaline, or polymer solutions in enhanced oil recovery also introduces non-Newtonian behavior. Recovery methods face challenges when non-Newtonian phases, gravity, and reservoir heterogeneity are combined. Against this backdrop, this work presents a mathematical model for immiscible two-phase flow in an axially composite reservoir with a periodic-layered structure. The model considers a non-Newtonian plastic Bingham-type phase extension of the Buckley-Leverett model. To address the porous medium’s heterogeneity with discontinuous flux functions, the numerical solutions were obtained using the Lax-Friedrichs and Lagrangian-Eulerian schemes. The numerical solutions were compared to analytical solutions obtained using an extended version of Oleinik’s geometric construction for discontinuous flux functions. The outcomes display shock and rarefaction waves, as well as a fixed shock due to the porous medium heterogeneity. The numerical results closely correspond with the analytical solutions, seen particularly in the greater accuracy of the Lagrangian-Eulerian method compared to the Lax-Friedrichs method.

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Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs

El-Khatib

2006

SPE Reservoir Evaluation &Amp; Engineering

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The displacement of non-Newtonian power-law fluids in communicating stratified reservoirs with a log-normal permeability distribution is studied. Equations are derived for fractional oil recovery, water cut, injectivity ratio, and pseudorelative permeability functions, and the performance is compared with that for Newtonian fluids. Constant-injection-rate and constant-total-pressuredrop cases are studied. The effects of the following factors on performance are investigated: the flow-behavior indices, the apparent mobility ratio, the Dykstra-Parsons variation coefficient, and the flow rate. It was found that fractional oil recovery increases for n w >n o and decreases for n w n o. Increasing the total injection rate increases the recovery for n w >n o , and the opposite is true for n w

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Modification of Buckley-Leverett and JBN methods for power-law fluids

Cited by 3 publications

References 0 publications

Iso-Permeability Point Trail Method to Determine the Relative Permeability Curve for a New Amphiphilic Polymer Flooding

Iso-Permeability Point Trail Method to Determine the Relative Permeability Curve for a New Amphiphilic Polymer Flooding

Vertical displacement of a non-Newtonian Bingham plastic by a Newtonian phase in an axially composite reservoir

Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs

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