A new approach for gas-water flow simulation in multi-fractured horizontal wells of shale gas reservoirs

Xu, Yunfeng; Sheng, Guanglong; Zhao, Hui; Hui, Yanni; Zhou, Yuhui; Ma, Jinxing; Rao, Xiang; Zhong, Xun; Gong, Jie

doi:10.1016/j.petrol.2020.108292

Cited by 33 publications

(24 citation statements)

References 32 publications

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“…The Moving Least Square method (SLS) is used to construct approximate functions in this paper, followed by the Least Square method to discretize the governing equations and establish the corresponding meshless method, namely the weighted least squares meshless method (MWLS). For more information about the weighted least squares meshless method, see reference [14].…”

Section: Weighted Least-squares Meshless Methodsmentioning

confidence: 99%

“…For the first time, Yousef et al [13] applied the MWLS method to a complex fault block hydrocarbon reservoir numerical good test and obtained satisfactory results in terms of calculation accuracy and efficiency. Xu et al [14] used fractal theory to characterize the permeability and porosity of horizontal shale gas fracturing wells, although they solved the gas-water two-phase flow model using the weighted least squares meshless method [15]. This Paper introduces the fractal permeability expression, establishes a numerical model of fractal oil reservoir two-phase, and solves it using the weighted least squares meshless method (MWLS).…”

Section: Introductionmentioning

confidence: 99%

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Two Phase Flow Simulation of Fractal Oil Reservoir Based on Meshless Method

Zhou¹,

Wang²,

Wang³

et al. 2022

Energy Engineering

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The reservoir is the networked rock skeleton of an oil and gas trap, as well as the generic term for the fluid contained within pore fractures and karst caves. Heterogeneity and a complex internal pore structure characterize the reservoir rock. By introducing the fractal permeability formula, this paper establishes a fractal mathematical model of oil-water two-phase flow in an oil reservoir with heterogeneity characteristics and numerically solves the mathematical model using the weighted least squares meshless method. Additionally, the method's correctness is verified by comparison to the exact solution. The numerical results demonstrate that the fractal oil-water two-phase flow mathematical model developed using the meshless method is capable of more accurately and efficiently describing the flow characteristics of the oil-water two-phase migration process. In comparison to the conventional numerical model, this method achieves a greater degree of convergence and stability. This paper examines the effect of varying the initial viscosity of the oil, the initial formation pressure, and the production and injection ratios on daily oil production per well, water cut in the block, and accumulated oil in the block. For 10 and 60 cp initial crude oil viscosities, the water cut can be 0.62 and 0.80, with 3100 and 1900 m 3 cumulative oil production. Initial pressures have little effect on production. In this case, the daily oil production of well PRO1 is 1.7 m 3 at 7 and 10 MPa initial pressure. Block cumulative oil production is 3465.4 and 2149.9 m 3 when the production injection ratio is 1.4 and 0.8. The two-phase meshless method described in this paper is essential for a rational and effective study of production dynamics patterns in complex reservoirs and the development of reservoir simulations of oil-water flow in heterogeneous reservoirs. KEYWORDSOil-water two-phase flow; fractal theory; weighted least square method; meshless method Nomenclature ρ o , ρ w Density of oil and water respectively (kg/m 3 ); k(r) Fractal permeability (mD); k rw , k ro Relative permeability of water phase and oil phase (mD); μ o , μ w Viscosity of oil phase and water phase mPa•s; p o , p w Pressure of oil phase and water phase in Reservoir (MPa);

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Section: Weighted Least-squares Meshless Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two Phase Flow Simulation of Fractal Oil Reservoir Based on Meshless Method

Zhou¹,

Wang²,

Wang³

et al. 2022

Energy Engineering

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“…Theoretical studies have shown that, compared with tight rock formations, when the reservoir contains fluid such as water, oil or gas, it will cause the scattering of seismic waves and the attenuation of seismic energy. Therefore, analyzing the attenuation change characteristics of earthquakes, it can be seen that the greater the attenuation gradient in the reservoir, the better the physical properties of the reservoir (Xu et al 2020). Tectonic stress is an important factor affecting the development of fractures, and tectonic activity is the direct cause of fractures.…”

Section: Seismic Wave-field Characteristicsmentioning

confidence: 99%

A study on the characteristics of seismic wave propagation in fractured marlstone reservoirs based on mechanical principles

Zhang

Liu

et al. 2021

Arab J Geosci

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Marlstone reservoirs are closely related to the degree of fracture development and their hydrocarbon accumulation are also controlled by the distribution of fractures. Hence, the prediction of fracture development zones is very important to the discovery of fractured oil and gas reservoirs. Tectonic movements and their intensities are one of the key factors affecting the formation of fracture systems and the distribution of tectonic stress field has great impact on the generation of fractures. Therefore, taking marginal subsags in the Jiyang Depression, Eastern China, as an example, this paper studied the characteristics of seismic wave propagation in fractured marlstone reservoirs based on mechanical principles. This study proposed the equivalent geological model and elastic characterization parameters for the fractured marlstone reservoirs in study area, analyzed the seismic response patterns, anisotropy characteristics, and seismic wave-field distribution of the marginal subsags in the Jiyang Depression, discussed the influences of fracture filling fluid, density, inclination, orientation, and layer thickness on the characteristics of seismic wave propagation in fractured marlstone reservoirs, and finally explored the shear wave splitting phenomenon and the exploration and development significance of the seismic wave propagation in fractured marlstone reservoirs. The study results show that the fracture filling fluid can lead to the dispersion and attenuation of seismic wave propagating in the medium, and rock saturated with fluid can exhibit frequency-dependent attenuation and dispersion due to wave-induced fluid flow between pores and fractures. The change of fracture density can make seismic wave appear anisotropic and biphasic and the difference between the high and low frequency of the longitudinal wave phase velocity becomes more and more obvious. The change of fracture inclination and orientation can cause the shear wave splitting phenomenon, in which the fast shear wave polarized parallel to the fracture with a fast velocity and a slow attenuation and the slow shear wave is polarized in the direction perpendicular to the crack with slow velocity and fast attenuation. The change of fracture layer thickness can make because the change of phase velocity and attenuation and the larger the thickness of the fracture layer is, the greater the difference between the reflection amplitude of the bottom interface and that of the non-fracture layer is. The study of characteristics of seismic wave propagation in fractured marlstone reservoirs can effectively obtain the multi-directional shear wave impedance and then fine characterize the fracture strike and density of tight oil fractured reservoir, which has important theoretical research and practical exploration significance. The study results provide a reference for further researches on the characteristics of seismic wave propagation in fractured marlstone reservoirs based on mechanical principles.

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“…According to incomplete statistics, there are more than 600 water-injected fields with more than 110,000 water-injected wells worldwide [1]. Therefore, any progress in modeling and predicting water-driven production increases is critical [2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Oil-Water Flow in a Shale Reservoir Using a Radial Basis Function

Wang¹,

Zhang²,

Anhai³

et al. 2022

Fluid Dynamics &Amp; Materials Processing

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Due to the difficulties associated with preprocessing activities and poor grid convergence when simulating shale reservoirs in the context of traditional grid methods, in this study an innovative two-phase oil-water seepage model is elaborated. The modes is based on the radial basis meshless approach and is used to determine the pressure and water saturation in a sample reservoir. Two-dimensional examples demonstrate that, when compared to the finite difference method, the radial basis function method produces less errors and is more accurate in predicting daily oil production. The radial basis function and finite difference methods provide errors of 5.78 percent and 7.5 percent, respectively, when estimating the daily oil production data for a sample well. A sensitivity analysis of the key parameters that affect the radial basis function's computation outcomes is also presented. KEYWORDSRadial basis function; reservoir numerical simulation; meshless method; oil-water two-phase flow Nomenclature q o , q w Density of oil and water respectively (kg/m 3 ) k Permeability (mD) k rw , k ro Relative permeability of water phase and oil phase (mD) l o , l w Viscosity of oil phase and water phase mPas p o , p w Pressure of oil phase and water phase in reservoir (MPa) f Porosity S w , S o Saturation of water phase and oil phase t production time (day) q osc , q wsc Source-sink phase under standard conditions (m 3 /day)

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A new approach for gas-water flow simulation in multi-fractured horizontal wells of shale gas reservoirs

Cited by 33 publications

References 32 publications

Two Phase Flow Simulation of Fractal Oil Reservoir Based on Meshless Method

Two Phase Flow Simulation of Fractal Oil Reservoir Based on Meshless Method

A study on the characteristics of seismic wave propagation in fractured marlstone reservoirs based on mechanical principles

Simulation of Oil-Water Flow in a Shale Reservoir Using a Radial Basis Function

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