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Journal ArticleDOI

Numerical investigations on compressible non-linear fluid flow associated with a stress -sensitive fractured reservoir

TL;DR: In this article, the authors developed an improved mathematical model to understand the single-phase gas flow in a coupled matrix-fracture fluid mass exchange in a stress-sensitive reservoir.
Abstract: This paper emphasizes on the development of an improved mathematical model to understand the single-phase gas flow in a coupled matrix-fracture fluid mass exchange in a stress-sensitive reservoir a...
Citations
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Journal ArticleDOI
TL;DR: In this paper, a comprehensive geofluid flow model for a well in a subsurface formation was established and solved, and a general solution method for this model and its general solutions were obtained for vertical and horizontal wells in ordinary, fractured and fractured-vuggy formations.

5 citations

References
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Journal ArticleDOI
TL;DR: In this article, a novel relationship between nonlinear fluid flow and diffusion-convection transport is presented, which indicates that neglecting the quadratic gradient term in the flow equation can be considered as equivalent to neglecting convective flow in the diffusion convection transport mechanism.

16 citations


"Numerical investigations on compres..." refers background in this paper

  • ...Bai and Roegiers (1994) presented a relationship between nonlinear fluid flow and linear transport for dual-porosity modeling....

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Journal ArticleDOI
05 Apr 2018-PLOS ONE
TL;DR: The results show that the initiation pressure is inversely proportional to the horizontal stress difference and positively related to fracturing fluid injection rate, and fracturing fluid flows to downward easily after comparing horizontal well fracturing with vertical well fracturing.
Abstract: Hydraulic fracturing can improve the permeability of coalbed methane (CBM) reservoirs effectively, which is of great significance to the commercial production of CBM. However, the efficiency of hydraulic fracturing is affected by multiple factors. The mechanism of fracture initiation, morphology and propagation in CBM reservoirs is not clear and need to be further explored. Hydraulic fracturing experiment is an accurate tool to explore these mechanisms. The quantity of experimental coal rock is large and processing method is complex, so specimen made of similar materials was applied to replace coal rock. The true triaxial hydraulic fracturing experimental apparatus, 3D scanning device for coal rock section were applied to carry out hydraulic fracturing experiment. The results show that the initiation pressure is inversely proportional to the horizontal stress difference (Δσ) and positively related to fracturing fluid injection rate. When vertical stress (σv) is constant, the initiation pressure and fracture width decrease with the increasing of Δσ. Natural fractures can be connected by main fracture when propagates perpendicular to the direction of minimum horizontal stress (σh), then secondary fractures and fracture network form in CBM reservoirs. When two stresses of crustal stress are close and far different from the third one, the fracture morphology and propagation become complex. Influenced by perforations and filtration of fracturing fluid in specimen, fracturing fluid flows to downward easily after comparing horizontal well fracturing with vertical well fracturing. Fracture width increases with the decreasing of elastic modulus, the intensity of fracture is positively related with the elastic modulus of coal rock. The research results can provide theoretical basis and technical support for the efficient development of CBM.

14 citations


"Numerical investigations on compres..." refers background in this paper

  • ...2019), coalbed methane (Zhang et al. 2018) especially in US and Canada....

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Journal ArticleDOI
TL;DR: In this article, the Fourier transform is used to model the one-dimensional fluid flow through porous media by considering the quadratic terms, and a new analytical solution is presented for the nonlinear diffusivity equation.

13 citations


"Numerical investigations on compres..." refers background or methods in this paper

  • ...Abbasi et al. (2017) proposed the analytical solution of the one-dimensional nonlinear flow equation for a reservoir....

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  • ...Verification of the present numerical nonlinear model with the analytical solution (Abbasi et al. 2017) (a) constant wellbore...

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  • ...The pressure distribution obtained in the present numerical nonlinear model has been verified with the analytical solution (Abbasi et al. 2017; Temeng 1988) as given in Figure 4....

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  • ...Input Parameters for verification (Abbasi et al. 2017)....

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  • ...Abbasi et al. (2017) proposed the analytical solution of the one-dimensional nonlinear flow equation for a reservoir. Ren and Guo (2017) proposed the semi-analytical solution for the nonlinear flow equation in a multi-fractured horizontal well with a stimulated reservoir volume....

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01 Jan 1986

12 citations


"Numerical investigations on compres..." refers methods in this paper

  • ...The nonlinear diffusivity equation including the hyperbolic dominant term was linearized by functional transformation for a homogeneous reservoir (Finjord 1986)....

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Journal ArticleDOI
27 Mar 2019-Energies
TL;DR: In this paper, the impacts of fracture uncertainties, such as natural fracture density, proppant distribution, and natural fracture heterogeneity on flowback and productivity are quantitatively assessed, and it is shown that considering fracture closure during flowback can promote water imbibition into the matrix and delay the oil breakthrough time.
Abstract: Multi-stage hydraulic fracturing along with horizontal wells are widely used to create complex fracture networks in tight oil reservoirs. Analysis of field flowback data shows that most of the fracturing fluids are contained in a complex fracture network, and fracture-closure is the main driving mechanism during early clean up. At present, the related fracture parameters cannot be accurately obtained, so it is necessary to study the impacts of fracture compressibility and uncertainty on water-loss and the subsequent production performance. A series of mechanistic models are established by considering stress-dependent porosity and permeability. The impacts of fracture uncertainties, such as natural fracture density, proppant distribution, and natural fracture heterogeneity on flowback and productivity are quantitatively assessed. Results indicate that considering fracture closure during flowback can promote water imbibition into the matrix and delay the oil breakthrough time compared with ignoring fracture closure. With the increase of natural fracture density, oil breakthrough time is advanced, and more water is retained underground. When natural fractures connected with hydraulic fractures are propped, well productivity will be enhanced, but proppant embedment can cause a loss of oil production. Additionally, the fracture network with more heterogeneity will lead to the lower flowback rate, which presents an insight in the role of fractures in water-loss.

12 citations


"Numerical investigations on compres..." refers background in this paper

  • ...…there is a significant increase in the hydrocarbon production helped by the flow through the induced fractures in the low permeable unconventional reservoirs such as shale gas (Xie et al. 2019), tight gas (Liao et al. 2019), coalbed methane (Zhang et al. 2018) especially in US and Canada....

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  • ...2019), tight gas (Liao et al. 2019), coalbed methane (Zhang et al....

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