考虑多因素的多层合采产液量劈分模式研究

doi:10.13809/j.cnki.cn32-1825/te.2022.06.014

摘要/Abstract

摘要：

油藏多层合采技术的运用逐渐广泛，产量劈分及分层评价视为重要环节，其结果影响动态储量计算的准确性及开发政策调整的可靠性。然而，常规地层系数（Kh值）产量劈分方法仍存在未充分考虑储层的连通性、压差等动态因素的不足。为厘清油藏开发过程中各分层动用情况，从达西公式等渗流理论出发，提出了一种新的产量劈分方法。该方法引入了“渗透率贡献率”这一概念，定义为各层渗透率与高中低所有层渗透率之和的比值，并综合研究了渗透率贡献率、含水率、劈分系数之间的关系，提出了不同渗透层的多层合采产量劈分模式。经过8组不同渗透率级差研究，利用多项式回归计算，建立了不同渗透层综合考虑含水率、渗透率贡献率等参数的产液劈分数学模型。通过数值模拟计算与实验测试结果对比检验，该劈分模式误差小、准确性高，满足现场应用的需要。

关键词: 多层合采, 产量劈分, 数值模拟, 达西公式, 渗流理论

Abstract:

The application of multi-layer mining technology in reservoir is gradually extensive. Production splitting and stratification evaluation are regarded as important links, which affect the accuracy of dynamic reserve calculation and the reliability of development policy adjustment. However, the conventional formation coefficient（Kh） production splitting method still fails to fully consider the dynamic factors such as reservoir connectivity and pressure difference. Based on darcy formula and other seepage theory, a new production splitting method is put forward to clarify the role of the production of each layer in the development of reservoir. This method introduces the concept of “permeability contribution rate”, which is defined as the ratio of permeability of each layer to the sum of all permeability of high, middle and low layers, and comprehensively considers the relationship between permeability contribution rate, water content, and splitting coefficient, and proposes the production splitting of multi-layer mining with different permeability layers. Based on the research of eight groups of different permeability levels and polynomial regression calculation, the mathematical model for splitting of liquid production is established for different permeability layers considering water content, permeability range and other parameters. Through the comparison between the numerical simulation and the experimental test results, the splitting mode has small error and high accuracy, which can meet the needs of field application.

Key words: multi-layer mining, production splitting, numerical simulation, Darcy formula, seepage theory

中图分类号:

TE312

周海燕,张运来,梁潇,张吉磊,许亚南,刘继柱. 考虑多因素的多层合采产液量劈分模式研究[J]. 油气藏评价与开发, 2022, 12(6): 945-950.

ZHOU Haiyan,ZHANG Yunlai,LIANG Xiao,ZHANG Jilei,XU Yanan,LIU Jizhu. Liquid production splitting of multi-layer mining considering multiple factors[J]. Petroleum Reservoir Evaluation and Development, 2022, 12(6): 945-950.

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参考文献 26

[1]	马奎前, 陈存良, 刘英宪. 基于层间均衡驱替的注水井分层配注方法[J]. 特种油气藏, 2019, 26(4): 109-112.
	MA Kuiqian, CHEN Cunliang, LIU Yingxian. Separate-layer water injection allocation based on inter-layer balanced waterflooding[J]. Special Oil & Gas Reservoirs, 2019, 26(4): 109-112.
[2]	郑爱玲, 刘德华, 邵燕林, 等. 复杂断块油藏油砂体开发潜力及挖潜措施[J]. 特种油气藏, 2011, 18(1): 93-95.
	ZHENG Ailing, LIU Dehua, SHAO Yanlin, et al. Oil sand potential and development measures for complex fault-block reservoir[J]. Special Oil & Gas Reservoirs, 2011, 18(1): 93-95.
[3]	杨明, 马栋, 王雨, 等. 海上油田多层合采井产量劈分方法[J]. 复杂油气藏, 2020, 13(1): 53-57.
	YANG Ming, MA Dong, WANG Yu, et al. Production splitting method for multi-layer production wells in offshore oilfields[J]. Complex Hydrocarbon Reservoirs, 2020, 13(1): 53-57.
[4]	SALIMOV R, SARSEKOV A. Allocation of zonal production in smart wells: Offshore Abu-Dhabi case study[C]// Paper SPE-188416-MS presented at the Abu Dhabi International Petroleum Exhibition & Conference, Abu Dhabi, UAE, November 2017.
[5]	李文红, 任超群, 林瑞敏, 等. 一种新的水驱油藏多层合采井产量动态劈分方法[J]. 中国海上油气, 2019, 31(4): 89-95.
	LI Wenhong, REN Chaoqun, LIN Ruimin, et al. A new dynamic production splitting method for multi-layer commingled production wells in water-flooding reservoirs[J]. China Offshore Oil and Gas, 2019, 31(4): 89-95.
[6]	NASHAAT M, KOLIVAND H, ZHIYENKULOV M, et al. Unlocking new/missed reservoir zones at shallow depth based on integrating post-hydraulic fracture performance with reservoir, petrophysics, and geology data[C]// Paper SPE-208517-MS presented at the SPE Eastern Europe Subsurface Conference, Kyiv, Ukraine, November 2021.
[7]	MI L D, HU X Y, JIA Y, et al. A novel dynamic production splitting method based on the catastrophe theory[C]// Paper SPE-194968-MS presented at the SPE Middle East Oil and Gas Show and Conference, Manama, Bahrain, March 2019.
[8]	赵贤正, 曾溅辉, 韩国猛, 等. 渤海湾盆地黄骅坳陷板桥凹陷深层低渗透(致密)砂岩气藏充注特征及成藏过程[J]. 石油与天然气地质, 2020, 41(5): 913-927.
	ZHAO Xianzheng, ZENG Jianhui, HAN Guomeng, et al. Charging characteristics and accumulation process of deep low-permeability (tight) sand gas reservoirs in Banqiao Sag,Huanghua Depression[J]. Oil & Gas Geology, 2020, 41(5): 913-927.
[9]	晏庆辉, 付强, 陈建华, 等. 一种简单实用的综合劈分模型[J]. 中国石油和化工标准与质量, 2021, 41(17): 125-126.
	YAN Qinghui, FU Qiang, CHEN Jianhua, et al. A simple and practical comprehensive splitting model[J]. China Petroleum and Chemical Industry Standard & Quality, 2021, 41(17): 125-126.
[10]	罗威, 郭小哲, 黄远杨, 等. 直井产液剖面预测及分层控水效果计算方法[J]. 油气井测试, 2018, 27(5): 1-6.
	LUO Wei, GUO Xiaozhe, HUANG Yuanyang, et al. Prediction of production profile and evaluation method of stratified water control effect in vertical wells[J]. Well Testing, 2018, 27(5): 1-6.
[11]	VAL LERMA M K. Analytical method to predict waterflood performance[C]// Paper SPE-83511-MS presented at the SPE Western Regional/AAPG Pacific Section Joint Meeting, Long Beach, California, May 2003.
[12]	李源流, 杨兆平, 潘多寿, 等. 考虑相对渗透率变化的砂岩油藏产量劈分方法[J]. 西安石油大学学报(自然科学版), 2020, 35(3): 72-76.
	LI Yuanliu, YANG Zhaoping, PAN Duoshou, et al. A production splitting method of sandstone reservoir considering the change of relative permeability[J]. Journal of Xi'an Shiyou University(Natural Science Edition), 2020, 35(3): 72-76.
[13]	付强, 薛国庆, 任超群, 等. 多层合采井产量劈分新方法在W油田的应用[J]. 断块油气田, 2019, 26(4): 512-515.
	FU Qiang, XUE Guoqing, REN Chaoqun, et al. Application of new production splitting method for multilayer combined production wells in W oilfield[J]. Fault-Block Oil & Gas Field, 2019, 26(4): 512-515.
[14]	陈晓冬, 郑永仙, 项燚伟, 等. 长井段互层油藏单井产量劈分研究——以青海花土沟油田为例[J]. 石油地质与工程, 2016, 30(6): 89-91.
	CHEN Xiaodong, ZHENG Yongxian, XIANG Yiwei, et al. Study on production splitting of single well in interbedded reservoir of long well section: A case study of Huatugou Oilfield, Qinghai Province[J]. Petroleum Geology and Engineering, 2016, 30(6): 89-91.
[15]	王立, 喻高明, 傅宣豪, 等. 基于反距离加权插值法的产量劈分新方法[J]. 断块油气田, 2018, 25(5): 617-621.
	WANG Li, YU Gaoming, FU Xuanhao, et al. New method for production cleavage by inverse distance weighted interpolation[J]. Fault-Block Oil & Gas Field, 2018, 25(5): 617-621.
[16]	龙海宁, 喻高明, 傅宣豪. 结合灰色关联改进反距离加权插值法的劈分新方法[J]. 科学技术与工程, 2019, 19(36): 140-146.
	LONG Haining, YU Gaoming, FU Xuanhao. New splitting method of improving the inverse distance weighted interpolation method based on grey correlation[J]. Science Technology and Engineering, 2019, 19(36): 140-146.
[17]	屈继峰, 党少敏, 高月红, 等. 一种水驱砂岩油藏合采井产量劈分新方法[J]. 辽宁化工, 2013, 42(7): 825-827.
	QU Jifeng, DANG Shaomin, GAO Yuehong, et al. Science Technology and Engineering[J]. Liaoning Chemical Industry, 2013, 42(7): 825-827.
[18]	杜庆龙, 朱丽红. 油水井分层动用状况研究新方法[J]. 石油勘探与开发, 2004, 31(5): 96-98.
	DU Qinglong, ZHU Lihong. Science Technology and Engineering[J]. Petroleum Exploration and Development, 2004, 31(5): 96-98.
[19]	张继成, 王潇悦. 考虑含水饱和度的产量劈分方法及应用[J]. 浙江大学学报(理学版), 2015, 42(5): 626-630.
	ZHANG Jicheng, WANG Xiaoyue. Science Technology and Engineering[J]. Journal of Zhejiang University(Science Edition), 2015, 42(5): 626-630.
[20]	夏静, 冯阳, 陈新宇. 油井分层注水倍数计算方法[J]. 数学的实践与认识, 2017, 47(3): 114-119.
	XIA Jing, FENG Yang, CHEN Xinyu. Computing method of separating layer water injected volume about oil wells[J]. Mathematics in Practice and Theory, 2017, 47(3): 114-119.
[21]	SILVA T L, CAMPONOGARA E, TEIXEIRA A F, et al. Modeling of flow splitting for production optimization in offshore gas-lifted oil fields: Simulation validation and applications[J]. Journal of Petroleum Science and Engineering, 2015, 128: 86-97. doi: 10.1016/j.petrol.2015.02.018
[22]	杨兆平, 岳世俊, 郑长龙, 等. 薄互层砂岩油藏多因素综合约束的产量劈分方法[J]. 岩性油气藏, 2018, 30(6): 117-124.
	YANG Zhaoping, YUE Shijun, ZHENG Changlong, et al. Production split method restricted synthetically by multi-factors in thin interbed sandstone reservoirs[J]. lithologic Reservoirs, 2018, 30(6): 117-124.
[23]	王少奇, 景亚锋, 王博学, 等. 基于突变理论的气井产量劈分模型在Y2区块的应用[J]. 非常规油气, 2021, 8(3): 90-97.
	WANG Shaoqi, JING Yafeng, WANG Boxue, et al. The application of gas well production split model based on catastrophe theory in Y2 block[J]. Unconventional Oil & Gas, 2021, 8(3): 90-97.
[24]	陈晓明, 张建民, 王月杰, 等. 海上油田多层合采井试井模型研究与应用[J]. 特种油气藏, 2017, 24(1): 119-123.
	CHEN Xiaoming, ZHANG Jianmin, WANG Yuejie, et al. Development and application of well-test models for wells deployed for joint development of multiple layers in offshore oilfields[J]. Special Oil & Gas Reservoirs, 2017, 24(1): 119-123.
[25]	林孟雄, 成育红, 张林, 等. 苏里格气田苏东区块多层产量劈分新方法[J]. 新疆地质, 2019, 37(3): 419-421.
	LIN Mengxiong, CHENG Yuhong, ZHANG Lin, et al. A new method of production dividing for commingling production in the Sudong area[J]. Xinjiang Geology, 2019, 37(3): 419-421.
[26]	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.
	WANG Yingsheng, SHI Chengfang, WANG Jiqiang. New equations for characterizing water flooding in ultra-high water-cut oilfields[J]. Oil & Gas Geology, 2020, 41(6): 1282-1287.

组号	产液劈分系数	渗透率贡献率	无因次产液劈分系数
1	0.553 2	0.555 6	1.000 0
2	0.704 8	0.714 3	1.274 1
3	0.779 3	0.789 5	1.408 8
4	0.823 6	0.833 3	1.489 0
5	0.853 1	0.862 1	1.542 2
6	0.874 0	0.882 4	1.580 0
7	0.889 8	0.897 4	1.608 5
8	0.902 0	0.909 1	1.630 6

组号	产液劈分系数	渗透率贡献率	无因次产液劈分系数
1	0.318 6	0.333 3	1.549 0
2	0.205 7	0.214 3	1.000 0
3	0.160 8	0.157 9	0.781 9
4	0.131 6	0.125 0	0.640 1
5	0.111 0	0.103 4	0.539 8
6	0.094 5	0.088 2	0.464 1
7	0.084 3	0.076 9	0.410 1
8	0.075 3	0.068 2	0.366 3

实验组号	含水率	渗透率贡献率	计算产液劈分系数	实验产液劈分系数	相对误差
1	0.556	0.750 6	0.757 5	0.825 2	0.082 0
2	0.602	0.751 2	0.760 4	0.804 5	0.054 8
3	0.671	0.757 0	0.770 2	0.914 7	0.157 9
4	0.716	0.869 6	0.887 8	0.874 1	0.015 7
5	0.747	0.787 0	0.805 9	0.857 4	0.060 1
6	0.769	0.695 7	0.714 1	0.760 4	0.060 9
7	0.785	0.517 2	0.532 2	0.690 5	0.229 3
8	0.798	0.642 2	0.661 1	0.572 6	0.154 6
9	0.799	0.705 5	0.726 2	0.800 5	0.092 9

实验组号	含水率	渗透率贡献率	计算产液劈分系数	实验产液劈分系数	相对误差
1	0.556	0.167 7	0.171 5	0.157 8	0.087 1
2	0.602	0.195 1	0.194 2	0.178 8	0.085 9
3	0.671	0.186 9	0.178 6	0.036 0	3.961 8
4	0.716	0.103 5	0.103 5	0.112 9	0.082 9
5	0.747	0.130 1	0.125 2	0.123 5	0.013 5
6	0.769	0.262 3	0.236 4	0.218 0	0.084 5
7	0.785	0.448 3	0.392 9	0.238 0	0.651 0
8	0.798	0.321 1	0.285 3	0.407 2	0.299 4
9	0.799	0.214 6	0.195 5	0.179 5	0.088 9