白慧芳,倪军,张磊
Bai Huifang,Ni Jun,Zhang Lei

• 1:陕西延长石油(集团)有限责任公司

摘要(Abstract)：

为了明确单井控制流体流动范围内的储量，通过定义相邻时刻的拟压力差和拟压力，结合天然气高压物性变化规律以及物质平衡方程，建立了一种基于压力差转换系数的单井控制储量计算新方法。结果表明：该方法与物质平衡法的计算结果误差为0.004%，具有较高的准确性且计算参数更容易获取；单井控制储量计算值随着生产时间的增加快速增加后逐渐趋于稳定，当选点时间大于300 d至气井产量开始递减之前，且选点时间间隔在5～10 d时，该方法具有较高的精度和较好的稳定性；在相同压力条件下，压力差转换系数的幂指数β越小，高压物性参数μZ（μ为天然气黏度，Z为气体偏差因子）越小，单井控制储量就越大。研究成果对评价气藏的地层能量状况、储量动用和采收率变化情况均具有重要的意义。
In order to clarify the reserves within the fluid flow range controlled by a single well,a single-well controlled reserves calculation new method based on pressure difference conversion coefficient is established by defining pseudo-pressure difference and pseudo-pressure at adjacent moments, combined with the variation law of natural gas high-pressure physical properties and material balance equation. The results show that the error between this method and material balance method is 0.004%, with high accuracy, and the calculation parameters are easier to obtain. The calculated value of single-well controlled reserves increases rapidly with the increase of production time before gradually stabilizing. When the selection time exceeds 300 days until gas well production begins to decline, and the time interval is between 5-10 days, this method has high accuracy and good stability.In conditions of same pressure, the smaller the power exponent β of pressure difference conversion coefficient is, the smaller the highpressure physical property parameter μZ is(where μ is gas viscosity and Z is gas deviation factor),and the greater the single-well controlled reserves are. The research provides great significance for evaluating geological energy status, reserve production and oil recovery variation of gas reservoirs.

关键词(KeyWords)： 控制储量;拟压力差;高压物性;物质平衡方程;压力差转换系数
controlled reserves;pseudo pressure difference;high-pressure physical properties;material balance equation;pressure difference conversion coefficient

Abstract:

Keywords:

基金项目(Foundation): 陕西省自然科学基础研究计划项目“多层合采气井全阶段产能劈分及预测研究”（2025JC-YBMS-644）;; 陕西省重点研发计划项目“数据机理混合驱动的致密气储层智能评价技术”（2023-YBGY-308）

作者(Author): 白慧芳,倪军,张磊
Bai Huifang,Ni Jun,Zhang Lei

DOI: 10.19597/J.ISSN.1000-3754.202503042

参考文献(References)：

• [1]罗吉会，鲁瑞彬，姜丽丽，等.一种改进的合理井控储量与采收率确定方法[J].科学技术与工程，2015,15(17):47-50.Luo Jihui,Lu Ruibin,Jiang Lili,et al. An improved method for determining reasonable well controlled reserves and recovery factor[J]. Science Technology and Engineering, 2015, 15(17):47-50.
• [2]代金友，雷禧桢，师洋阳，等.致密砂岩气藏低采收率成因[J].新疆石油地质，2025,46(2):224-230.Dai Jinyou, Lei Xizhen, Shi Yangyang, et al. Causes behind low recovery in tight sandstone gas reservoirs[J]. Xinjiang Petroleum Geology,2025,46(2):224-230.
• [3]马新华，何东博，位云生，等.天然气提高采收率理论基础、技术方法与发展方向[J].天然气工业，2023,43(1):1-12.Ma Xinhua, He Dongbo, Wei Yunsheng, et al. Enhanced gas recovery:theory, technology and prospect[J]. Natural Gas Industry,2023,43(1):1-12.
• [4]李士伦.天然气工程[M].北京：石油工业出版社，2008.Li Shilun. Natural gas engineering[M]. Beijing:Petroleum Industry Press,2008.
• [5]陈元千. Cinco-Ley模型在评价水力压裂效果中的应用及确定井控的原始地质储量[J].断块油气田，2025,32(4):529-535.Chen Yuanqian. Application of Cinco-Ley model in evaluating hydraulic fractured effect and determining well hydraulic fractured effect and determining well[J]. Fault-Block Oil&Gas Field,2025,32(4):529-535.
• [6]梁卫卫，赵习森，党海龙，等.一种压裂单井控制储量计算方法：202110511589.1[P]. 2021-05-11.Liang Weiwei,Zhao Xisen,Dang Hailong,et al. A calculation method for controlled reserve of fracturing single well:202110511589.1[P]. 2021-05-11.
• [7]史玉成，李江涛，王靖茹，等.动态龟背图法计算气藏单井控制地质储量[J].石化技术，2021,28(7):8-10.Shi Yucheng,Li Jiangtao,Wang Jingru,et al. The dynamic turtle-back diagram used in calculating the single-well control geological reserves[J]. Petrochemical Industry Technology, 2021,28(7):8-10.
• [8]毕晓明，杨丰瑞.徐深气田火山岩气藏井控动态储量特征[J].大庆石油地质与开发，2015,34(4):60-64.Bi Xiaoming,Yang Fengrui.Characteristics of the well-controlled performance reserves of the volcanic-rock gas reservoirs in Xushen Gasfield[J].Petroleum Geology&Oilfield Development in Daqing,2015,34(4):60-64.
• [9]曹建，朱亮，罗静，等.异常高压气藏井间连通气井动态储量计算新方法[J].非常规油气，2024,11(4):62-69.Cao Jian,Zhu Liang,Luo Jing,et al. A new method for calculating dynamic reserves of interconnected gas wells in abnormally high pressure gas reservoirs[J]. Unconventional Oil&Gas,2024,11(4):62-69.
• [10]郭奇，陈开远，李祯.低渗透气藏合理动态储量计算方法[J].特种油气藏，2016,23(1):113-115,156.Guo Qi, Chen Kaiyuan, Li Zhen. Reasonable dynamic reserve calculation in tight gas reservoir[J]. Special Oil&Gas Reservoirs,2016,23(1):113-115,156.
• [11]曹宝军，毕晓明，李胜，等.多参数回归物质平衡法在水驱气藏气井生产动态预测中的应用[J].大庆石油地质与开发，2024,43(5):62-68.Cao Baojun,Bi Xiaoming,Li Sheng,et al.Application of multiparameters regression material balance method in production performance prediction of gas wells in water drive gas reservoirs[J].Petroleum Geology&Oilfield Development in Daqing, 2024,43(5):62-68.
• [12]徐兵祥，陈岭，白玉湖，等.产水致密气井动态储量评价新方法[J].科学技术与工程，2022,22(16):6482-6487.Xu Bingxiang,Chen Ling,Bai Yuhu,et al. A new technique of reserve estimation in water-production tight gas wells[J].Science Technology and Engineering, 2022, 22(16):6482-6487.
• [13]王永科，白慧芳，王凯，等.定容封闭气藏定产气井动态储量计算新方法[J].中国科技论文，2021, 16(1):91-96,111.Wang Yongke,Bai Huifang,Wang Kai,et al. A new calculation method for dynamic reserves of low-water-determined gas wells[J]. China Sciencepaper,2021,16(1):91-96,111.
• [14]李靖，李相方，胡素明，等.流动物质平衡法误差分析及改进[J].大庆石油地质与开发，2015,34(6):57-61.Li Jing,Li Xiangfang,Hu Suming,et al. Error analysis and improvement of flowing material balance(FBM)method[J].Petroleum Geology&Oilfield Development in Daqing,2015,34(6):57-61.
• [15]钟海全，周俊杰，李颖川，等.流动物质平衡法计算低渗透气藏单井动态储量[J].岩性油气藏，2012, 24(3):108-111.Zhong Haiquan,Zhou Junjie,Li Yingchuan,et al. Dynamic reserve calculation of single well of low permeability gas reservoir based on flowing material balance method[J]. Lithologic Reservoirs,2012,24(3):108-111.
• [16]张磊，王永科，倪军，等.气藏平均地层压力跟踪计算新方法[J].石油学报，2021,42(4):492-499,522.Zhang Lei, Wang Yongke, Ni Jun, et al. A new method for tracking and calculating average formation pressure of gas reservoirs[J].Acta Petrolei Sinica,2021,42(4):492-499,522.
• [17]辛翠平，王永科，徐云林，等.修正的流动物质平衡法计算致密气藏动态储量[J].特种油气藏，2018,25(2):95-98.Xin Cuiping,Wang Yongke,Xu Yunlin,et al. Tight gas reservoir dynamic reserve calculation with modified flowing material balance[J]. Special Oil&Gas Reservoirs, 2018, 25(2):95-98.
• [18]王涛，于海洋，赵鹏飞，等.基于不稳定压力试井分析的致密气井压裂后产能评估[J].特种油气藏，2023,30(4):122-130.Wang Tao, Yu Haiyang, Zhao Pengfei, et al. Productivity assessment of tight gas wells after fracturing based on unstable pressure well test analysis[J].Special Oil&Gas Reservoirs,2023,30(4):122-130.
• [19]王玮淇，管英柱，张金发，等.不稳定试井技术研究进展及发展趋势[J].特种油气藏，2024,31(4):19-26.Wang Weiqi,Guan Yingzhu,Zhang Jinfa,et al. Research progress and development tendency of transient well testing technology[J]. Special Oil&Gas Reservoirs,2024,31(4):19-26.
• [20]孙贺东，朱忠谦，施英，等.现代产量递减分析Blasingame图版制作之纠错[J].天然气工业，2015,35(10):71-77.Sun Hedong, Zhu Zhongqian, Shi Ying, et al. A note on the Blasingame type curve plotting of production decline analysis[J]. Natural Gas Industry,2015,35(10):71-77.
• [21]吉斐，孙鑫鑫，张琦.新型产量递减方程的建立及渗流理论基础：以吐哈油田非常规油藏为例[J].新疆石油地质，2024,45(6):696-702.Ji Fei,Sun Xinxin,Zhang Qi. Establishment of a new production decline equation and its theoretical basis:a case study of unconventional reservoirs in Tuha Oilfield[J]. Xinjiang Petroleum Geology,2024,45(6):696-702.
• [22]鲜波，朱松柏，周杰，等.缝洞型碳酸盐岩气藏斜井Blasingame产量递减模型[J].大庆石油地质与开发，2025,44(1):93-100.Xian Bo,Zhu Songbai,Zhou Jie,et al. Blasingame production decline model of deviated well in fractured-vuggy carbonate gas reservoirs[J]. Petroleum Geology&Oilfield Development in Daqing,2025,44(1):93-100.
• [23]汪如军，唐永亮，朱松柏，等.超深层裂缝性致密砂岩气藏多尺度耦合流动数值模拟[J].天然气工业，2024,44(3):143-151.Wang Rujun, Tang Yongliang, Zhu Songbai, et al. Numerical simulation of multi-scale coupled flow in ultra-deep fractured tight sandstone gas reservoirs[J]. Natural Gas Industry,2024,44(3):143-151.
• [24]张益，刘峰.油气藏数值模拟原理与应用[M].北京：石油工业出版社，2021.Zhang Yi, Liu Feng. Principles and applications of numerical simulation for oil and gas reservoirs[M]. Beijing:Petroleum Industry Press,2021.
• [25]程松林.高等渗流力学[M].北京：石油工业出版社，2011.Cheng Songlin. Advanced mechanics of fluids in porous media[M]. Beijing:Petroleum Industry Press,2011.
• [26]张建中，高树生，熊伟，等.基于致密砂岩储层气水渗流阻力系数的产能新模型[J].天然气工业，2023,43(1):177-187.Zhang Jianzhong,Gao Shusheng,Xiong Wei,et al. A new productivity model based on gas-water seepage resistance coefficient for tight sandstone reservoirs[J].Natural Gas Industry, 2023,43(1):177-187.
• [27]庄惠农，韩永新，孙贺东，等.气藏动态描述和试井[M].北京：石油工业出版社，2021.Zhuang Huinong,Han Yongxin,Sun Hedong,et al. Gas reservoir dynamic description and well testing[M]. Beijing:Petroleum Industry Press,2021.
• [28]毕晓明.改进物质平衡法在致密气藏气井生产动态预测中的应用[J].大庆石油地质与开发，2022,41(6):94-101.Bi Xiaoming. Application of improved material balance method in gas well production performance prediction in tight gas reservoirs[J]. Petroleum Geology&Oilfield Development in Daqing,2022,41(6):94-101.
• [29]杨志兴，汪洋，孔垂显，等.物质平衡方法在气藏开发中的应用[J].科学技术与工程，2014,14(25):151-159.Yang Zhixing, Wang Yang, Kong Chuixian, et al. The application of the material balance method in gas reservoir development[J].Science Technology and Engineering, 2014,14(25):151-159.
• [30]王伟，马新仿，辛一男，等.考虑天然气高压物性变化的气藏平均压力计算方法[J].科学技术与工程，2015,15(27):29-33.Wang Wei, Ma Xinfang, Xin Yi’nan, et al. The calculation method of average reservoir pressure considering natural gas high pressure physical properties changing[J]. Science Technology and Engineering,2015,15(27):29-33.
• [31]王明.川东北地区气藏流体物性分析与研究[D].青岛：中国石油大学（华东），2014.Wang Ming. Analysis and research of Northeast Sichuan gas reservoir fluid[D].Qingdao:China University of Petroleum(East China),2014.