Application of the least-square meshless method to gas-water flow simulation of complex-shape shale gas reservoirs

Rao, Xiang; Zhan, Wentao; Zhao, Hui; Xu, Yunfeng; Deng, Liu; Dai, Weixin; Gong, Ruzhi; Wang, Fei

doi:10.1016/j.enganabound.2021.04.018

Cited by 19 publications

(16 citation statements)

References 33 publications

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“…The representation form of the formula (28) is similar to that of formula (13), which can be expressed as…”

Section: Determination Of Development Effect By New Water Flooding Ch...mentioning

confidence: 99%

“…x , so the above conclusion is also applicable to formula (28), only C needs to be changed into C 1 . The application study and research of novel water floodings characteristic curve formulae such as formula (13) and formula (28) are conducted using on-site production data from the JH oilfield. By comparing the forecast error of the new curve to the actual data points, as well as the characteristic curve of B-water flooding and the characteristic curve of other water type floods.…”

Section: Determination Of Development Effect By New Water Flooding Ch...mentioning

confidence: 99%

“…The water drive characteristic curves obtained in this work can be utilized to fit production data from oilfields during (extra) high water cut periods [11]. However, the bulk of matching expressions are worthless due to their complexity, and the prediction error is large [12,13]. Wang suggested a linear water drive characteristic curve in logarithmic coordinates that may more accurately estimate the oil production law during a period of severe water cut [14].…”

Section: Introductionmentioning

confidence: 98%

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Application of New Water Flooding Characteristic Curve in the High Water-Cut Stage of an Oilfield

Zhang¹,

Wang²,

Wang³

et al. 2022

Fluid Dynamics &Amp; Materials Processing

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The oil production predicted by means of the conventional water-drive characteristic curve is typically affected by large deviations with respect to the actual value when the so-called high water-cut stage is entered. In order to solve this problem, a new characteristic relationship between the relative permeability ratio and the average water saturation is proposed. By comparing the outcomes of different matching methods, it is verified that it can well reflect the variation characteristics of the relative permeability ratio curve. Combining the new formula with a reservoir engineering method, two new formulas are derived for the water flooding characteristic curve in the high water-cut stage. Their practicability is verified by using the production data of Mawangmiao and Xijiakou blocks. The results show that the error between the predicted cumulative oil production and production data of the two new water drive characteristic curves is less than the error between the B-type water drive characteristic curve and the other two water drive characteristic curves. It is concluded that the two new characteristic curves can be used to estimate more accurately the recoverable reserves, the final recovery and to estimate the effects of water flooding. KEYWORDSWater flooding characteristic curve; high water cut period; production dynamic prediction; recoverable reserves; water flooding Nomenclature WOR Water-oil ratio; Q w Water production, t/day; Q o Oil production, t/day; K rw , K ro Relative permeability of water phase and oil phase; μ w , μ o Water, oil viscosity, mPa⋅s; B w , B o Water and oil volume coefficient, m 3 /m 3 ; a, b, c Constants influenced by reservoir and fluid properties; A, B, C, C 1 Constants; S w Water saturation, %; S w Average water saturation, %; S we Outlet end water saturation;

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“…The representation form of the formula (28) is similar to that of formula (13), which can be expressed as…”

Section: Determination Of Development Effect By New Water Flooding Ch...mentioning

confidence: 99%

Section: Determination Of Development Effect By New Water Flooding Ch...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

Application of New Water Flooding Characteristic Curve in the High Water-Cut Stage of an Oilfield

Zhang¹,

Wang²,

Wang³

et al. 2022

Fluid Dynamics &Amp; Materials Processing

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“…However, because the reservoir's porous media are largely disordered, it is impossible to accurately describe the reservoir's actual characteristics when the reservoir is approximated as a homogeneous model. The introduction of fractal theory enables us to better understand the pore results and transport properties of porous media [2]. Thus, over the last two decades, extensive research on the transport characteristics of porous media in oil reservoirs based on fractal theory has been conducted in the field of petroleum engineering [3].…”

Section: Introductionmentioning

confidence: 99%

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

Zhou¹,

Wang²,

Wang³

et al. 2022

Energy Engineering

Self Cite

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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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“…As a new approach in recent years, the meshless method is now widely applied in various fields [11][12][13][14][15][16][17][18][19], particularly in computational fluid dynamics (CFD). The developed meshless approaches can be classified into collocation-based and Galerkin-based methods.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Localized Meshless Method for the Solution of Transient Groundwater Flow in Two Dimensions

Wang

Kim

2022

Mathematics

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In this work, a hybrid localized meshless method is developed for solving transient groundwater flow in two dimensions by combining the Crank–Nicolson scheme and the generalized finite difference method (GFDM). As the first step, the temporal discretization of the transient groundwater flow equation is based on the Crank–Nicolson scheme. A boundary value problem in space with the Dirichlet or mixed boundary condition is then formed at each time node, which is simulated by introducing the GFDM. The proposed algorithm is truly meshless and easy to program. Four linear or nonlinear numerical examples, including ones with complicated geometry domains, are provided to verify the performance of the developed approach, and the results illustrate the good accuracy and convergency of the method.

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Application of the least-square meshless method to gas-water flow simulation of complex-shape shale gas reservoirs

Cited by 19 publications

References 33 publications

Application of New Water Flooding Characteristic Curve in the High Water-Cut Stage of an Oilfield

Application of New Water Flooding Characteristic Curve in the High Water-Cut Stage of an Oilfield

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

A Hybrid Localized Meshless Method for the Solution of Transient Groundwater Flow in Two Dimensions

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