Effective Permeability of Fractured Porous Media With Fractal Dual-Porosity Model

Xu, Peng; Liu, Haicheng; Sasmito, Agus P.; Qiu, Shuxia; Li, Chun‐Zhu

doi:10.1142/s0218348x1740014x

Cited by 25 publications

(9 citation statements)

References 36 publications

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“…From then on, seepage models of multiplemedium reservoirs developed rapidly since the application of the fractal theory (Kong et al, 2008;Lu et al, 2017;Razminia et al, 2015;Wang et al, 2015;Xu et al, 2008). In addition to that, Xu et al (2017) developed a fractal dual-porosity model to study the single-phase fluid flow through fractured porous media, which can capture the statistical characteristics of fractures and shed light on the transport mechanism of fractured porous media compared with empirical formulas for effective permeability.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of transient pressure performance of horizontal wells in fractured-vuggy tight fractal reservoirs considering nonlinear seepage

Jiang

Zhang

Cui

et al. 2019

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Since the classical seepage theory has limitations in characterizing the heterogeneity of fractured-vuggy tight reservoirs, well test interpretation results are not consistent with actual production by far. Based on the nonlinear percolation theory, a new nonlinear seepage equation considering the boundary layer and yield stress was derived to describe the seepage characteristics of dense matrix blocks and the stress sensitivity and fractal features of fracture systems were characterized by applying the fractal theory. Thus, the nonlinear model of a horizontal well in a fractured-vuggy tight fractal reservoir was established naturally. Then the finite element method was applied to solve the bottom hole pressure based on the processing of internal boundary conditions. After solving the model, the seepage characteristics of different models were summarized by analyzing the bottom hole pressure dynamic curves and the sensitivity analysis of multiple parameters such the nonlinear parameter and fractal index were conducted. Finally, the practicality of the model was proved through a field application. The results show that the pressure dynamic curves can be divided into nine flow stages and the increase of the nonlinear parameter will cause the intensity of the cross flow from matrix blocks to the fracture system to decrease. The fractal index is irrelevant to the intensity of the cross flow while it decides the upwarping degree of the curve at the middle and late flow stages. On the basis of the results of the field application, it can be concluded that the model fits well with actual production and the application of this model can improve the accuracy of well test interpretation.

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Section: Introductionmentioning

confidence: 99%

Characteristics of transient pressure performance of horizontal wells in fractured-vuggy tight fractal reservoirs considering nonlinear seepage

Jiang

Zhang

Cui

et al. 2019

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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“…Miao et al developed a fractal permeability model for fractured rocks with smooth surfaces on the basis of the cubic law [31]. Xu et al obtained an analytical expression for effective permeability of fractured porous media according to the fractal theory and analyzed the influence of fractal dimensions on the effective permeability [32]. However, the influence of real gas effect and fracture wall roughness on the permeability for fractured porous media was neglected in the above-mentioned articles [31,32].…”

Section: Modelmentioning

confidence: 99%

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

Wang

2021

Polymers

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The investigation of gas transport in fractured porous media is essential in most petroleum and chemical engineering. In this paper, an apparent gas permeability model for real gas flow in fractured porous media is derived with adequate consideration of real gas effect, the roughness of fracture surface, and Knudsen diffusion based on the fractal theory. The fractal apparent gas permeability model is obtained to be a function of micro-structural parameters of fractured porous media, relative roughness, the pressure, the temperature, and the properties of gas. The predictions from the apparent gas permeability model based on the fractal theory match well with the published permeability model and experimental data, which verifies the rationality of the present fractal apparent gas permeability model.

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“…Instead, they have been confined to fractured rock systems where the matrix is considered impermeable, with the exception of a few synthetic studies (e.g., Bogdanov et al 2003) and studies of fractured, porous reservoir rock for oil and gas or geothermal development (e.g., Müller et al 2010;Xu et al 2017).…”

Section: Hydrogeosphere Mikeshe Modflow-mt3dms)mentioning

confidence: 99%

Estimation of the representative elementary volume of a fractured till: a field and groundwater modeling approach

et al. 2019

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Fractured till is often represented as an equivalent porous medium (EPM) in groundwater models. Knowledge of the representative elementary volume (REV) is necessary for proper application of an EPM model. While REV estimation and hydraulic conductivity tensor determinations are common in fractured rock studies, they are rarely applied to materials with a permeable matrix, such as fractured till. This study uses field fracture measurements, model simulations, and the FracKFinder toolbox to estimate the REV and determine hydraulic conductivity tensors for the fractured, late Wisconsinan till of the Dows Formation in central Iowa (USA), at depths of 1.0-1.5, 2.0-2.5, and 3.3-3.7 m. Results indicate that the REV of the till is directly related to both fracture density and transmissivity. REV size ranges from 4 to 5 m3 at depths of 1-2 m, where fractures are densest (P32 27.5 m2/m3) and most transmissive, to 2 to 3 m3 at depths of 3.3-3.7 m where fractures are least dense (P32 24.4 m2/m3) and least transmissive. Fracture hydraulic conductivity is five, four, and three orders of magnitude greater than matrix hydraulic conductivity at the shallowest to deepest depths of investigation, respectively. The results also suggest that hydraulic conductivity values estimated from permeameters and large-core laboratory experiments may not be of sufficient volume to represent the REV of fractured till.

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Effective Permeability of Fractured Porous Media With Fractal Dual-Porosity Model

Cited by 25 publications

References 36 publications

Characteristics of transient pressure performance of horizontal wells in fractured-vuggy tight fractal reservoirs considering nonlinear seepage

Characteristics of transient pressure performance of horizontal wells in fractured-vuggy tight fractal reservoirs considering nonlinear seepage

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

Estimation of the representative elementary volume of a fractured till: a field and groundwater modeling approach

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