基于模拟有限差分法的水驱油藏渗透率时变数值模拟

doi:10.19596/j.cnki.1001-246x.8628

摘要/Abstract

摘要：

针对高含水油田注入水的长期冲刷导致储层物性参数逐渐变化从而影响油田开发及剩余油分布预测的问题, 提出一种基于模拟有限差分法的水驱油藏渗透率时变模拟方法。首先拟合现场油井试井渗透率, 建立通过冲刷时间表征渗透率的时变模型, 然后对模型采用模拟有限差分法进行离散并采用IMPES方法对其求解, 最后分析不同渗透率倍数对剩余油、压力、流线分布和开发效果的影响。结果表明: 考虑渗透率时变后, 水窜加剧、波及系数减小、开发效果变差。与传统的油藏描述方法相比, 该方法符合水驱油藏的实际情况, 能够为水驱油田后期深度挖潜提供帮助。

关键词: 模拟有限差分, 渗透率时变, 数值模拟, 水驱油藏

Abstract:

Since physical properties time variation influences the remaining oil distribution and reservoir development effect, a new method to simulate permeability time variation properties based on mimetic finite difference method is put forward. Firstly, well test permeability is fitted, and a water flooding mathematical model considering the variation of permeability based on scouring time of injected water is proposed. The model is discretized using mimetic finite difference method, which is described in details. Finally, an IMPES scheme is used for the solution of the model and the influence of different permeability multiples on distribution of residual oil, pressure, and streamline is analyzed. The results show that, when the permeability changes with time, more water channeling can occur, inducing a negative effect on oil production. Compared to traditional reservoir characterization methods, this technology reflects real condition of the block and can provide useful guidelines for further production optimization.

Key words: mimetic finite difference method, absolute permeability time variation, numerical simulation, water-flooding reservoirs

王少椿, 付铄然, 郭凌空, 唐志淏, 张娜, 孙乾. 基于模拟有限差分法的水驱油藏渗透率时变数值模拟[J]. 计算物理, 2023, 40(5): 597-605.

Shaochun WANG, Shuoran FU, Lingkong GUO, Zhihao TANG, Na ZHANG, Qian SUN. Numerical Simulation of Water-flooding Reservoirs Considering Permeability Time Variation Based on Mimetic Finite Difference Method[J]. Chinese Journal of Computational Physics, 2023, 40(5): 597-605.

图/表 10

图1 K油田试井渗透率变化

Fig.1 Permeability variation of well test in K oilfield

图2 无量纲渗透率随无量纲时间的演化

Fig.2 Evolution of dimensionless permeability with T0

图3 数值模拟计算流程

Fig.3 Numerical simulation calculation process

图4 MFD网格单元示意图

Fig.4 Schematic of grid-cell of MFD

图5 概念模型 (a)物理模型；(b)网格剖分

Fig.5 Conceptual model (a)physical model; (b)meshing

表1 渗透率时变模拟参数

Table 1 Permeability time-varying simulation parameters

组别	最小渗透率/mD	最大渗透率/mD	原油黏度/(mPa·s)	水黏度/(mPa·s)	束缚水饱和度/%	残余油饱和度/%	孔隙度/%	油密度/(kg·m^-3)	水密度/(kg·m^-3)
a	50	50	3.5	1	20	20	25	800	1 000
b	50	500	3.5	1	20	20	25	800	1 000
c	50	1 000	3.5	1	20	20	25	800	1 000
d	50	2 000	3.5	1	20	20	25	800	1 000

图6 含水饱和度分布图 (a)50-50；(b)50-500；(c)50-1000；(d)50-2000

Fig.6 Water saturation distributions (a)50-50; (b)50-500; (c)50-1000; (d)50-2000

图7 压力分布 (a)50-50；(b)50-500；(c)50-1000；(d)50-2000

Fig.7 Pressure distributions (a)50-50; (b)50-500; (c)50-1000; (d)50-2000

图8 流线分布 (a)50-50；(b)50-500；(c)50-1000；(d)50-2000

Fig.8 Streamline distributions (a)50-50; (b)50-500; (c)50-1000; (d)50-2000

图9 波及系数变化曲线

Fig.9 Variation curves of sweep efficiency

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