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CHARACTERISTIC DIFFERENCE METHODS FOR TWO-PHASE DISPLACEMENT IN NATURALLY FRACTURED RESERVOIRS
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作者 芮洪兴 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1995年第2期133-146,共14页
In this paper we shall give the characteristic difference methods for two phase displace meat problem in naturally fractured reservoirs.We shall prove the existence,uniqueness of the ap proximate solution and a priori... In this paper we shall give the characteristic difference methods for two phase displace meat problem in naturally fractured reservoirs.We shall prove the existence,uniqueness of the ap proximate solution and a priori discrete L2-error estimates. 展开更多
关键词 DIFFERENCE METHOD two-phase displacement naturally fructured RESERVOIRS
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THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS
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作者 袁益让 《Acta Mathematica Scientia》 SCIE CSCD 2002年第4期489-499,共11页
For compressible two-phase displacement problem, a kind of upwind operator splitting finite difference schemes is put forward and make use of operator splitting, of calculus of variations, multiplicative commutation r... For compressible two-phase displacement problem, a kind of upwind operator splitting finite difference schemes is put forward and make use of operator splitting, of calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates in L 2 norm are derived to determine the error, in the approximate solution. 展开更多
关键词 two-phase displacement two-dimensional compressibility upwind operator splitting finite difference schemes convergence analysis
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Water invasion and remaining gas distribution in carbonate gas reservoirs using core displacement and NMR 被引量:2
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作者 GUO Cheng-fei LI Hua-bin +2 位作者 TAO Ye LANG Li-yuan NIU Zhong-xiao 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第2期531-541,共11页
Water invasion is a common phenomenon in gas reservoirs with active edge-and-bottom aquifers.Due to high reservoir heterogeneity and production parameters,carbonate gas reservoirs feature exploitation obstacles and lo... Water invasion is a common phenomenon in gas reservoirs with active edge-and-bottom aquifers.Due to high reservoir heterogeneity and production parameters,carbonate gas reservoirs feature exploitation obstacles and low recovery factors.In this study,combined core displacement and nuclear magnetic resonance(NMR)experiments explored the reservoir gas−water two-phase flow and remaining microscopic gas distribution during water invasion and gas injection.Consequently,for fracture core,the water-phase relative permeability is higher and the co-seepage interval is narrower than that of three pore cores during water invasion,whereas the water-drive recovery efficiency at different invasion rates is the lowest among all cores.Gas injection is beneficial for reducing water saturation and partially restoring the gas-phase relative permeability,especially for fracture core.The remaining gas distribution and the content are related to the core properties.Compared with pore cores,the water invasion rate strongly influences the residual gas distribution in fracture core.The results enhance the understanding of the water invasion mechanism,gas injection to resume production and the remaining gas distribution,so as to improve the recovery factors of carbonate gas reservoirs. 展开更多
关键词 core displacement gas−water two-phase flow recovery factor nuclear magnetic resonance(NMR) remaining gas distribution
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Stability analysis of the moving interface in piston- and non-piston-like displacements
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作者 Yuhu Bai Jifu Zhou Qingping Li 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2008年第4期381-385,共5页
From the macroscopic point of view, expressions involving reservoir and operational parameters are established for investigating the stability of moving interface in piston- and non-piston-like displacements. In the c... From the macroscopic point of view, expressions involving reservoir and operational parameters are established for investigating the stability of moving interface in piston- and non-piston-like displacements. In the case of axisymmetrical piston-like displacement, the stability is related to the moving interface position and water to oil mobility ratio. The capillary effect on the stability of moving interface depends on whether or not the moving interface is already stable and correlates with the wettability of the reservoir rock. In the case of non-piston-like displacement, the stability of the front is governed by both the relative permeability and the mobility ratio. 展开更多
关键词 Piston-like displacement · Non-piston-like displacement · two-phase percolation · Moving interface ·Stability analysis
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The characteristic finite difference fractional steps methods for compressible two-phase displacement problem 被引量:10
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作者 袁益让 《Science China Mathematics》 SCIE 1999年第1期48-57,共10页
For compressible two-phase displacement problem, a kind of characteristic finite difference fractional steps schemes is put forward and thick and thin grids are used to form a complete set. Some techniques, such as pi... For compressible two-phase displacement problem, a kind of characteristic finite difference fractional steps schemes is put forward and thick and thin grids are used to form a complete set. Some techniques, such as piecewise biquadratic interpolation, of calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates in L^2 norm are derived to determine the error in the approximate solution. 展开更多
关键词 two-phase displacement two-dimensional COMPRESSIBILITY fractional STEPS CHARACTERISTIC finite difference convergence numerical simulation of energy sources.
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Characteristic finite element scheme and analysis the three-dimensional two-phase displacement semi-definite problem
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作者 YUAN YirangInstitute of Mathematics, Shandong University, Jinan 250100, China 《Chinese Science Bulletin》 SCIE EI CAS 1997年第1期17-22,共6页
NUMERICAL simulation of the two-phase (oil and water) displacement problem is the mathematical basis of energy sources. For two-dimensional positive problem, Douglas et al. put forward the well-known characteristic fi... NUMERICAL simulation of the two-phase (oil and water) displacement problem is the mathematical basis of energy sources. For two-dimensional positive problem, Douglas et al. put forward the well-known characteristic finite difference method and characteristic finite element method. However, for numerical analysis there exist some difficulties. They assumed that the problem is periodic and the diffusion matrix of the concentration equation is positive difinite 展开更多
关键词 two-phase displacement three-dimensional semi-definite characteristic FINITE element convergence.
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The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem
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作者 Yi-rangYuan 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2004年第3期381-396,共16页
For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof differen... For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof difference operators,decomposition of high order difference operators,the theory of prior estimates and tech-niques are used.Optimal order estimates in L^2 norm are derived for the error in the approximate solution.Thismethod has already been applied to the numerical simulation of seawater intrusion and migration-accumulationof oil resources. 展开更多
关键词 two-phase displacement two-dimensional compressibility modified upwind finite difference fractional steps method convergence
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Quantitative Characterization of Interlayer Interference in Multi-Layered Sandstone Reservoirs Offshore China
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作者 Xinwei Jin Liuhe Yang +3 位作者 Donghao Wu Mengying Zhu Shan Gao Yong Jia 《Open Journal of Geology》 CAS 2022年第12期1093-1101,共9页
X oilfield is a typical multi-layer sandstone reservoir in offshore China. In the early stage, in order to obtain economic oil production, directional well was used to adopt a set of multi-layer combined production, w... X oilfield is a typical multi-layer sandstone reservoir in offshore China. In the early stage, in order to obtain economic oil production, directional well was used to adopt a set of multi-layer combined production, which resulted in serious interlayer interference, water injection inrush and low reserve utilization. Based on the theory of single-phase unstable seepage flow and the theory of oil-water two-phase non-piston displacement, the author innovatively established a mathematical model of interlayer dynamic interference in multilayer sandstone reservoirs, revealed the influence law of main controlling factors such as permeability, viscosity, starting pressure gradient and reservoir type on interlayer interference, and innovatively formed a quantitative characterization theory of interlayer interference in multilayer combined oil production. The technical demarcation of offshore multi-zone combined oil production reservoir system is formulated and the recombination of oil field development system is guided. 展开更多
关键词 Multi-Zone Sandstone Reservoir Interlayer Interference Single-Phase Unstable Seepage two-phase Non-Piston displacement
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Numerical Simulation of Dissolved Oxygen Supersaturation Flow over the Three Gorges Dam Spillway
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作者 李玲 覃春丽 +2 位作者 彭期冬 晏智锋 高千红 《Tsinghua Science and Technology》 SCIE EI CAS 2010年第5期574-579,共6页
The dissolved oxygen concentration in a flow changes with distance downstream of the spillway crest and depends on the geometric configuration of the spillway and the hydraulic and operating conditions.A mathematical ... The dissolved oxygen concentration in a flow changes with distance downstream of the spillway crest and depends on the geometric configuration of the spillway and the hydraulic and operating conditions.A mathematical model was developed to simulate the turbulent structure of the flow over the spillway of the Three Gorges Dam at the 145 m reservoir water level to study the aeration characteristics and the gas transport.The model was calibrated and verified with measured data.The analysis of distribution of the aeration and the dissolved oxygen showed that the downstream water level,upstream dissolved oxygen content,and the flow discharge all affect the dissolved oxygen saturation downstream of the sluicing dam.The simulation provides guidance for controlling the dissolved oxygen supersaturation and environmentally friendly operation of the Three Gorges Dam. 展开更多
关键词 environmental hydrodynamics dissolved oxygen content SPILLWAY Three Gorges Dam water-gas two-phase flow
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