特高含水期油田新型水驱特征曲线公式推导

doi:10.11743/ogg20200616

摘要/Abstract

摘要：

目前国内部分水驱油藏都进入了特高含水阶段，对于特高含水油藏来说，相对渗透率比值与含水饱和度的关系曲线会发生上翘的现象，这也导致推导出的水驱特征曲线在油田特高含水期产生上翘，使得运用常规水驱特征曲线对实际油田生产进行预测会产生较大的偏差。基于实际油田的数据资料，通过对不同油田区块多条相对渗透率比值与含水饱和度关系曲线上翘后的部分进行拟合分析，给出了新的相对渗透率比值与含水饱和度关系表达式；同时，根据新的相对渗透率比值与含水饱和度关系表达式推导出新型水驱特征曲线，并将其运用于实际油田的生产。结果表明，新型水驱特征曲线能够很好地预测常规水驱特征曲线产生上翘后的油田生产动态，对特高含水阶段的预测具有较好的适用性。

关键词: 水驱特征曲线, 曲线拟合, 特高含水阶段, 水驱开发, 可采储量

Abstract:

Many oil reservoirs stimulated by water flooding in China have entered the ultra-high water-cut stage.Using the relative permeability ratio versus water saturation curve in the performance prediction of these reservoirs often yields up-warping curves and misleading results.Based on a fitting analysis of the up-warping curves of different oilfields, this study obtained a new expression for the relationship between relative permeability ratio and water saturation.New equations were then deduced to characterize the performance of high water-cut reservoirs.Applications of the equations to oilfields verified their effectiveness in the production prediction of ultra-high water-cut reservoirs.

Key words: water flooding characteristic curve, curve fitting, ultra-high water-cut stage, water flooding development, recoverable reserve

中图分类号:

TE321

王英圣,石成方,王继强. 特高含水期油田新型水驱特征曲线公式推导[J]. 石油与天然气地质, 2020, 41(6): 1282-1287. doi: 10.11743/ogg20200616 Yingsheng Wang,Chengfang Shi,Jiqiang Wang. New equations for characterizing water flooding in ultra-high water-cut oilfields[J]. Oil & Gas Geology, 2020, 41(6): 1282-1287. doi: 10.11743/ogg20200616

图/表 8

图1

表1

表2

图2

图3

表3

图4

图5

参考文献 21

1	陈元千, 陶自强. 高含水期水驱曲线的推导及上翘问题的分析[J]. 断块油气田, 1997, 4 (3): 19- 24.
	Chen Yuanqian , Tao Ziqiang . Derivation of water drive curve in high water cut stage and analysis of upward problem[J]. Fault-Block Oil & Gas Field, 1997, 4 (3): 19- 24.
2	王华. 改进型水驱特征曲线计算技术可采储量的公式推导及其应用[J]. 油气地质与采收率, 2012, 19 (4): 84- 86.
	Wang Hua . Application of improved water drive curve in recoverable reserves[J]. Petroleum Geology and Recovery Efficiency, 2012, 19 (4): 84- 86.
3	梁保红. 特高含水期水驱特征曲线上翘对油田开发的意义及判断方法研究[J]. 中国石油和化工, 2016, 4 (S1): 220.
	Liang Baohong . Study on the significance of upward of water drive characteristic curve to oilfield development and judgment method in the period of extra-high water cut[J]. China Petroleum and Chemical Industry, 2016, 4 (S1): 220.
4	管错, 李宜强, 石成方. 对特高含水期水驱特征曲线上翘问题的新认识[J]. 大庆石油地质与开发, 2017, 36 (2): 64- 68.
	Guan Cuo , Li Yiqiang , Shi Chengfang . New understandings of the upward problem for the water flooding characteristic curve at extra-high water cut stage[J]. Petroleum Geology and Oilfield Development in Daqing, 2017, 36 (2): 64- 68.
5	于波, 孙新敏, 杨勇, 等. 高含水期水驱特征曲线上翘时机的影响因素研究[J]. 石油天然气学报(江汉石油学院学报), 2008, 30 (2): 127- 131.
	Yu Bo , Sun Xinmin , Yang Yong , et al. Study on the factors of upward time of water drive characteristic curve in high water-cut stage[J]. Journal of Oil and Gas Technology(JJPI), 2008, 30 (2): 127- 131.
6	孙红霞. 高含水期水驱特征曲线上翘新认识[J]. 特种油气藏, 2016, 23 (1): 92- 95.
	Sun Hongxia . New understanding of upward water flooding characteri-stic curve in high water-cut stage[J]. Special Oil and Gas Reservoirs, 2016, 23 (1): 92- 95.
7	杨勇. 高含水期水驱特征曲线上翘现象校正方法研究[J]. 石油天然气学报(江汉石油学院学报), 2008, 30 (1): 120- 123.
	Yang Yong . Study on correction method of upward of water drive characteristic curve in high water cut stage[J]. Journal of Oil and Gas Technology(JJPI), 2008, 30 (1): 120- 123.
8	时凤霞, 王容容, 于波. 高含水期水驱特征曲线上翘时机的定量表征[J]. 科学技术与工程, 2015, 15 (11): 53- 57.
	Shi Fengxia , Wang Rongrong , Yu Bo . The quantitative characterization of upward moment of water-flooding characteristic curve at high water-cut stage[J]. Science Technology and Engineering, 2015, 15 (11): 53- 57.
9	孙成龙. 水驱曲线上翘时机的判定方法[J]. 石油地质与工程, 2014, 28 (3): 69- 70.
	Sun Chenglong . Determination method of upward time of water drive curve[J]. Petroleum Geology and Engineering, 2014, 28 (3): 69- 70.
10	Can B , Kabir C S . Simple tools for forecasting waterflood performance[J]. Journal of Petroleum Science and Engineering, 2014, 120 (8): 111- 118.
11	王继强, 石成方, 纪淑红, 等. 特高含水期新型水驱特征曲线[J]. 石油勘探与开发, 2017, 44 (6): 955- 960.
	Wang Jiqiang , Shi Chengfang , Ji Shuhong , et al. New water drive characteristic curves at ultra-high water cut stage[J]. Petroleum Exploration and Development, 2017, 44 (6): 955- 960.
12	崔传智, 徐建鹏, 王端平, 等. 特高含水阶段新型水驱特征曲线[J]. 石油学报, 2015, 36 (10): 1267- 1271.
	Chui Chuanzhi , Xu Jianpeng , Wang Duanping , et al. A new water flooding characteristic curve at ultra-high water cut stage[J]. Acta Petrolei Sinica, 2015, 36 (10): 1267- 1271.
13	王小林, 于立君, 李治平, 等. 特高含水期新型水驱特征曲线[J]. 大庆石油地质与开发, 2015, 34 (6): 54- 56.
	Wang Xiaolin , Yu Lijun , Li Zhiping , et al. New water-flooding characteristic curves at the stage of extra-high water cut[J]. Petroleum Geology and Oilfield Development in Daqing, 2015, 34 (6): 54- 56.
14	宋兆杰, 李治平, 赖枫鹏, 等. 高含水期油田水驱特征曲线关系式的理论推导[J]. 石油勘探与开发, 2013, 40 (2): 201- 208.
	Song Zhaojie , Li Zhiping , Lai Fengpeng , et al. Derivation of water flooding characteristic curve for high water-cut oilfields[J]. Petroleum Exploration and Development, 2013, 40 (2): 201- 208.
15	刘世华, 谷建伟, 杨仁锋. 高含水期新型水驱特征曲线[J]. 辽宁工程技术大学学报(自然科学版), 2011, 30 (S1): 158- 163.
	Liu Shihua , Gu Jianwei , Yang Renfeng . New water-flooding characteri-stic curve at high water-cut stage[J]. Journal of Liaoning Technical University(Natural Science), 2011, 30 (S1): 158- 163.
16	范海军, 朱学谦. 高含水期油田新型水驱特征曲线的推导及应用[J]. 断块油气田, 2016, 23 (1): 105- 108.
	Fan Haijun , Zhu Xueqian . Derivation and application of new water flooding characteristic curve in high water-cut oilfield[J]. Fault-Block Oil & Gas Field, 2016, 23 (1): 105- 108.
17	侯健, 王容容, 夏志增, 等. 特高含水期甲型水驱特征曲线的改进[J]. 中国石油大学学报(自然科学版), 2013, 37 (6): 72- 75.
	Hou Jian , Wang Rongrong , Xia Zhizeng , et al. Improvement of water displacement curve for water flooded oil reservoirs at ultra-high water cut stage[J]. Journal of China University of Petroleum, 2013, 37 (6): 72- 75.
18	高文君, 彭长水, 李正科. 推导水驱特征曲线的渗流理论基础和通用方法[J]. 石油勘探与开发, 2000, 27 (5): 56- 60.
	Gao Wenjun , Peng Changshui , Li Zhengke . A derivation method and percolation theory ofwater-drive characteristic curves[J]. Petroleum Exploration and Development, 2000, (5): 56- 60.
19	陈军, 杨峻懿, 刘启国. 特高含水期油藏采油速度研究及影响因素分析[J]. 油气藏评价与开发, 2018, 8 (4): 17- 21.
	Chen Jun , Yang Junyi , Liu Qiguo . Study on the speed of oil recovery and influence factors in extra-high water content period[J]. Reservoir Evaluation and Development, 2018, 8 (4): 17- 21.
20	李珂, 胡书勇, 张金庆. 一种新型水驱特征曲线及其应用[J]. 油气藏评价与开发, 2019, 9 (2): 13- 16.
	Li Ke , Hu Shuyong , Zhang Jinqing . A new type water flooding characteristic curve and its application[J]. Reservoir Evaluation and Develo-pment, 2019, 9 (2): 13- 16.
21	李立峰, 滕世婷, 冯绪波. 基于水驱开发全过程的新型水驱特征曲线[J]. 特种油气藏, 2019, 26 (3): 85- 88.
	Li Lifeng , Teng Shiting , Feng Xubo . A new water-flooding characteristic curve based on the whole water-flooding process[J]. Special Oil & Gas Reservoirs, 2019, 26 (3): 85- 88.

曲线	上翘后拟合表达式	相关系数
1	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=103.26S_wd^13.011	0.991
2	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=956.56S_wd^15.755	0.987
3	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=797.3S_wd^14.262	0.977
4	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=331.4S_wd^11.588	0.972
5	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=341.95S_wd^11.086	0.978
6	ln$\frac{{{K_{{\rm{rw}}}}}}{{{K_{{\rm{ro}}}}}}$=110.03S_wd^7.9074	0.988

累计产油量/(10⁴ t)	累计产水量/(10⁴ t)	含水率/%
36.130	38.770	54.51
45.021	52.912	63.99
55.974	77.770	75.19
66.874	119.046	80.89
78.487	168.082	81.42
91.075	224.639	79.23
112.748	323.435	86.70
132.585	487.499	92.32
145.495	629.021	90.18
156.473	696.680	86.27
167.028	785.458	91.78
175.297	862.522	90.77
178.489	904.996	92.05
182.054	961.163	95.12
185.704	1 030.860	94.77
189.535	1 100.029	94.42
193.759	1 171.939	94.69
196.686	1 230.038	95.29
202.072	1 358.356	96.33
205.934	1 480.184	96.96
208.895	1 606.369	97.71
211.897	1 711.787	96.99
216.829	1 930.118	98.17
218.969	2 045.629	98.25

地面累积产油量/(10⁴ t)	水油比WOR	含水率/%
34.168 7	1.39	58.14
36.178 6	1.65	62.33
37.741 9	1.92	65.78
39.081 8	2.45	70.99
40.198 5	2.45	71.04
42.655 0	3.24	76.41
44.218 3	3.24	76.44
45.781 6	3.77	79.03
48.461 5	4.30	81.12
50.694 7	4.62	82.22
53.374 6	4.83	82.84
55.607 9	4.84	82.87
57.394 5	5.63	84.91
59.627 7	5.37	84.31
62.307 6	6.16	86.04
63.647 6	6.69	86.99
65.210 9	7.22	87.83
66.327 5	7.48	88.21
67.890 8	8.01	88.90
69.454 0	9.06	90.06
70.124 0	10.37	91.20
71.687 3	11.15	91.77
72.803 9	12.20	92.42
73.920 6	13.51	93.11
75.483 8	15.08	93.78
76.153 8	16.12	94.16
77.270 4	17.43	94.57
77.940 4	19.00	95.00
78.833 7	20.05	95.25
79.503 7	21.88	95.63
79.950 3	23.18	95.86
80.843 6	24.75	96.12
79.503 7	26.32	96.34
79.950 3	27.88	96.54
80.843 6	29.97	96.77
81.290 3	32.06	96.98
81.736 9	33.63	97.11
82.183 6	35.46	97.26
82.406 9	36.76	97.35
82.406 9	38.33	97.46
82.630 2	40.15	97.57
83.076 9	42.24	97.69
83.076 9	43.81	97.77
83.300 2	45.89	97.87
83.746 0	47.98	97.96
83.970 2	49.55	98.02
84.193 5	51.37	98.09
84.193 5	52.94	98.15
84.416 8	55.03	98.22
84.640 0	56.85	98.27

[1]	张洋洋, 李黔, 吴旭宁. 储层界面预测模型在水平井地质导向中的应用[J]. 石油与天然气地质, 2017, 38(3): 626-632.
[2]	严谨, 史云清, 郑荣臣, 王树平. 致密砂岩气藏井网加密潜力快速评价方法[J]. 石油与天然气地质, 2016, 37(1): 125-128.
[3]	陈元千, 胡建国. 确定饱和型煤层气藏地质储量、可采储量和采收率方法的推导及应用[J]. 石油与天然气地质, 2008, 29(1): 151-156.
[4]	张抗. 近20年中国石油储量变化分析[J]. 石油与天然气地质, 2005, 26(5): 584-589.
[5]	冉启佑, 赵庆飞, 方开璞, 赵小军. 水驱油田剩余经济可采储量计算方法[J]. 石油与天然气地质, 2005, 26(3): 379-383.
[6]	游秀玲, 张玲, 罗云秀. 原油采收率影响因素探讨及油藏综合分类[J]. 石油与天然气地质, 2004, 25(3): 314-318.
[7]	彭敦陆, 徐士进, 王汝成, 郭延军. 神经网络专家系统在预测石油可采储量上的应用——以胜利樊家油区为例[J]. 石油与天然气地质, 1999, 20(2): 129-132.