Prediction of relative permeability in unsaturated porous media with a fractal approach

Xu, Peng; Qiu, Shuxia; Yu, Bo; Jiang, Zhouting

doi:10.1016/j.ijheatmasstransfer.2013.05.003

Cited by 183 publications

(68 citation statements)

References 43 publications

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“…The estimated result is not only complete but also highly precise (Daoud and Velasquez 2006;Barroeta and Thompson 2010). In recent decades, a variety of numerical inversion methods have been developed to implicitly estimate the relative permeability curve for water-oil or oilgas systems (Chen et al 2008;Li et al 2009;Eydinov et al 2009;Wang et al 2010;Wang and Li 2011;Li and Yang 2011;Abdollahzadeh et al 2011;Zhang and Yang 2013;Xu et al 2013;Miao et al 2014).…”

Section: Introductionmentioning

confidence: 99%

Estimation of the water–oil–gas relative permeability curve from immiscible WAG coreflood experiments using the cubic B-spline model

Wang

Sun

et al. 2016

Pet. Sci.

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Immiscible water-alternating-gas (WAG) flooding is an EOR technique that has proven successful for water drive reservoirs due to its ability to improve displacement and sweep efficiency. Nevertheless, considering the complicated phase behavior and various multiphase flow characteristics, gas tends to break through early in production wells in heterogeneous formations because of overriding, fingering, and channeling, which may result in unfavorable recovery performance. On the basis of phase behavior studies, minimum miscibility pressure measurements, and immiscible WAG coreflood experiments, the cubic B-spline model (CBM) was employed to describe the three-phase relative permeability curve. Using the Levenberg-Marquardt algorithm to adjust the vector of unknown model parameters of the CBM sequentially, optimization of production performance including pressure drop, water cut, and the cumulative gas-oil ratio was performed. A novel numerical inversion method was established for estimation of the water-oil-gas relative permeability curve during the immiscible WAG process. Based on the quantitative characterization of major recovery mechanisms, the proposed method was validated by interpreting coreflood data of the immiscible WAG experiment. The proposed method is reliable and can meet engineering requirements. It provides a basic calculation theory for implicit estimation of oil-water-gas relative permeability curve.

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Section: Introductionmentioning

confidence: 99%

Estimation of the water–oil–gas relative permeability curve from immiscible WAG coreflood experiments using the cubic B-spline model

Wang

Sun

et al. 2016

Pet. Sci.

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“…Xu et al indicated that the geometrical parameters like porosity, fractal dimension for pore size distribution and tortuosity fractal dimension, have significant effect on the multiphase flow through unsaturated porous media [25]. Cai et al [26] proposed a generalized fractal model to study spontaneous imbibitions process in different rock types, fibrous materials, and silica glass.…”

Section: Introductionmentioning

confidence: 99%

Porous ceramic materials by pore-forming agent method: An intermingled fractal units analysis and procedure to predict thermal conductivity

Pia

Casnedi

Sanna

2015

Ceramics International

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“…Here we define the critical capillary diameter, λ cr , to be the capillary diameter (Xu et al, 2013). Where oil is just displaced by water completely at a given time, t. Substituting t d = t into Eq.…”

Section: Mathematical Modelmentioning

confidence: 99%

The effect of flow resistance on water saturation profile for transient two-phase flow in fractal porous media

Lai

et al. 2018

Adv. Geo-Energy Res.

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Abstract:Due to the rapid development of Micro-Electro-Mechanical System (MEMS), more and more attention has been paid to the fluid properties of porous media, which is significant for petroleum engineering. However, most of surfaces of pores and capillaries in porous media are rough. On the approximation that porous medium consists of a bundle of tortuous and rough capillaries, a Buckley-Leverett conceptual model with considering flow resistance is developed based on the fractal geometry theory, which is beneficial to predict water saturation profile in porous medium. The proposed Buckley-Leverett solution is a function of fractal structural parameters (such as pore fractal dimension, tortuosity fractal dimension, maximum and minimum diameters of capillaries), fluid properties (such as viscosity, contact angle and interfacial tension) and pore structure parameter (relative roughness) in fractal porous medium. Besides, the relationship between water saturation and distance is presented according to Buckley-Leverett solution. The impaction of flow resistance on water saturation profile is discussed.

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Prediction of relative permeability in unsaturated porous media with a fractal approach

Cited by 183 publications

References 43 publications

Estimation of the water–oil–gas relative permeability curve from immiscible WAG coreflood experiments using the cubic B-spline model

Estimation of the water–oil–gas relative permeability curve from immiscible WAG coreflood experiments using the cubic B-spline model

Porous ceramic materials by pore-forming agent method: An intermingled fractal units analysis and procedure to predict thermal conductivity

The effect of flow resistance on water saturation profile for transient two-phase flow in fractal porous media

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