Lithologic Reservoirs ›› 2025, Vol. 37 ›› Issue (5): 178-185.doi: 10.12108/yxyqc.20250516

• PETROLEUM ENGINEERING AND OIL & GAS FIELD DEVELOPMENT • Previous Articles    

Derivation and application of material balance equation for abnormal high pressure gas reservoirs with aquifer

CAI Junjun, LIU Wei, HU Yi, LI Qiu, XU Rui, MAO Zhenglin, TIAN Ye, MA Yang   

  1. Exploration and Development Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610041, China
  • Received:2024-08-05 Revised:2024-11-29 Published:2025-09-06

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Abstract: Abnormal high pressure gas reservoirs with aquifer are subjected to the combined action of rock，fluid compressibility and water invasion. As a result，the shape of pressure drop curve is an upward moving“ straight line”. Using the concept of the cumulative effective compaction coefficient defined by Fetkovich，and the powerlaw function of dynamic reserves recovery rate Gp/G and Ce(p)Δp+ω derived from field data，a material balance equation for abnormal high pressure gas reservoirs with aquifer was derived in the form of a power-law function.The results show that：（1）Based on the production data of gas reservoir，the newly derived material balance equation of the abnormal high pressure gas reservoir with aquifer can be used to calculate the dynamic reserves and water influx of the gas reservoirs.（2）The fitting coefficients A and B of the power function Gp/G and Ce(p)Δp+ω derived from production data of 11 abnormal high pressure gas reservoirs with aquifer in China， with A value of 0.3-0.9 and B value of 1.0-2.0.The values of A and B reflect the timing of water invasion in gas reservoirs：if the gas reservoir experiences early water invasion，the A value is larger；if the gas reservoir experiences middle and late water invasion，the B value is larger.（3）The production data calculation and comparison of 6 abnormal high pressure gas reservoirs with aquifer in China show that the newly established material balance equation is reliable.

Key words: abnormal high pressure gas reservoirs with aquifer, cucumulative effective compaction coefficient, power-law function, water influx, dynamic reserves, dynamic description

CLC Number: 

  • TE341
[1] 中华人民共和国国家质量监督检验检疫总局. 天然气藏分类:GB/T 2679-2011[S]. 北京:中国国家标准化管理委员会, 2011. General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China. The classification of natural gas pool:GB/T 2679-2011[S]. Beijing:National Standardization Administration of China,2011.
[2] 江同文,王振彪,宋文宁,等. 异常高压气田开发[M]. 北京:石油工业出版社,2016:1-24. JIANG Tongwen,WANG Zhenbiao,SONG Wenning,et al. Development of abnormally high pressure gas fields[M]. Beijing:Petroleum Industry Press,2016:1-24.
[3] 李明,陈东,杨敏,等. 塔里木某异常高压有水气藏动储量评价过程中的一点认识[R]. 重庆,第32届全国天然气学术年会,2020. LI Ming,CHEN Dong,YANG Min,et al. Some insights into the evaluation process of dynamic reserves of an abnormally high pressure water gas reservoir in Tarim[R]. Chongqing,Proceedings of the 32nd National Natural Gas Academic Annual Conference,2020.
[4] 李明,唐永亮,杨敏,等. 异常高压巨厚气藏水侵模式研究[R]. 西安,第5届油气田勘探与开发国际会议,2018. LI Ming,TANG Yongliang,YANG Min,et al. Water invasion mechanisms of abnormal high pressure and thick gas reservoir[R]. Xi'an,Proceedings of the 5th International Conference on Oil and Gas Field Exploration and Development,2018.
[5] RAMAGOST B P,FARSHAD F F. P/Z abnormally pressured gas reservoirs[R]. San Antonio,SPE Annual Technical Conference and Exhibition,1981.
[6] BOURGOYNE A T,HAWKINS M F,LAVAQUIAL F P,et al. Shale water as a pressure support mechanism in superpressure reservoirs[R]. Baton Rouge,The Abnormal Subsurface Pressure Symposium,1972.
[7] HAMMERLINDL D J. Predicting gas reserves in abnormally pressured reservoirs[R]. Louisiana,The Fall Meeting of the Society of Petroleum Engineers of AIME,1971.
[8] FETKOVICH M J,REESE D E,WHITSON C H. Application of a general material balance for high-pressure gas reservoirs[J]. SPE Journal,1998,3(1):3-13.
[9] 陈元千.异常高压气藏物质平衡方程式的推导及应用[J]. 石油学报,1983,4(1):45-53. CHEN Yuanqian. Application and derivation of material balance equation for abnormally pressured gas reservoirs[J]. Acta Petrolei Sinica,1983,4(1):45-53.
[10] 陈元千. 确定异常高压气藏地质储量和可采储量的新方法[J]. 新疆石油地质,2002,23(6):516-519. CHEN Yuanqian. New method of determining original gas in place and recoverable reserves for abnormally high pressure gas reservoir[J]. Xinjiang Petroleum Geology,2002,23(6):516-519.
[11] 李传亮. 油藏工程原理[M]. 北京:石油工业出版,2005:115-128. LI Chuangliang. Principles of Reservoir Engineering[M]. Beijing:Petroleum Industry Press,2005:115-128.
[12] ROACH R H. Analyzing geopressured reservoirs-A material balance technique[R]. Houston:Society of Petroleum Engineers,1981.
[13] AMBASTHA A K. A type-curve matching procedure for material balance analysis of production data from geopressured gas reservoirs[J]. Journal of Canadian Petroleum Technology, 1991,30(5):61-65.
[14] GAN R G,BLASINGAME T A. A semianalytical p/z technique for the analysis of reservoir performance from abnormally pressured gas reservoirs[R]. New Orleans,SPE Annual Technical Conference and Exhibition,2001.
[15] GONZALEZ F E,IIK D,BLASINGAME T A. A quadratic cumulative production model for the material balance of an abnormally pressured gas reservoir[R]. Bakersfield,SPE Western Regional and Pacific Section AAPG Joint Meeting,2008.
[16] 孙贺东,王宏宇,朱松柏,等. 基于幂函数形式物质平衡方法的高压、超高压气藏储量评价[J]. 天然气工业,2019,39(3):56-64. SUN Hedong,WANG Hongyu,ZHU Songbai,et al. Reserve evaluation of high pressure and ultra high pressure reservoirs with power function material balance method[J]. Natural Gas Industry,2019,39(3):56-64.
[17] 秦正山,何勇明,丁洋洋,等. 边水气藏水侵动态分析方法及水侵主控因素[J]. 岩性油气藏,2024,36(4):178-188. QIN Zhengshan,HE Yongming,DING Yangyang,et al. Water invasion performance and main controlling factors for edgewater gas reservoirs[J]. Lithologic Reservoirs,2024,36(4):178-188.
[18] 岳世俊,刘应如,项燚伟,等. 一种水侵气藏动态储量和水侵量计算新方法[J]. 岩性油气藏,2023,35(5):153-160. YUE Shijun,LIU Yingru,XIANG Yiwei,et al. A new method for calculating dynamic reserves and water influx of waterinvaded gas reservoirs[J]. Lithologic Reservoirs,2023,35(5):153-160.
[19] 邓成刚,李江涛,柴小颖,等. 涩北气田弱水驱气藏水侵早期识别方法[J]. 岩性油气藏,2020,32(1):128-134. DENG Chenggang,LI Jiangtao,CHAI Xiaoying,et al. Early identification methods of water invasion in weak water drive gas reservoirs in Sebei gas field,Qaidam Basin[J]. Lithologic Reservoirs,2020,32(1):128-134.
[20] 李冬梅,李会会,朱苏阳,等. 断溶体油气藏流动物质平衡方法[J]. 岩性油气藏,2022,34(1):154-162. LI Dongmei,LI Huihui,ZHU Suyang,et al. Modified flowing material balance method for fault-karst reservoirs[J]. Lithologic Reservoirs,2022,34(1):154-162.
[21] HALL H N. Compressibility of reservoir rocks[J]. Journal of petroleum Technology,1953,5(1):17-19.
[22] NEWMAN G H. Pore-volume compressibility of consolidated, friable and unconsolidated reservior rocks under hydrostatic loading[J]. Journal of petroleum Technology,1973,25(2):129-135.
[23] LI Chuanliang,CHEN Xiaofan,DU Zhimin. A new relationship of rock compressibility with porosity[R]. Perth,SPE Asia Pacific Oil and Gas Confernce and Exhibition,2004.
[24] 陈元千,邹存友. 三种岩石压缩系数关系的推导与对比[J]. 新疆石油地质,2012,33(4):459-460. CHEN Yuanqian,ZOU Cunyou. Deduction and comparison of relationships among three kinds of rock compressibility factors[J]. Xinjiang Petroleum Geology,2012,33(4):459-460.
[25] 陈元千,胡建国. 确定异常高压气藏地质储量和有效压缩系数的新方法[J]. 天然气工业,1993,13(1):53-59. CHEN Yuanqian,HU Jianguo. A new method for determining gas in place and effective compressibility in abnormal high pressure gas reservoirs[J]. Natural Gas Industry,1993,13(1):53-59.
[26] 百宗虎. 异常高压整装气藏水侵动态分析方法改进与应用研究[D]. 成都:西南石油大学,2012. BAI Zonghu. Improvement and application of dynamic analysis method for water Invasion in abnormal high pressure integrated gas reservoirs[D]. Chengdu:Southwest University of Petroleum,2012.
[27] 刘思远,李治平,陈鹏羽,等. 异常高压气藏水侵量计算新方法[J]. 特种油气藏,2017,24(6):139-142. LIU Siyuan,LI Zhiping,CHEN Pengyu,et al. A new method for calculating the aquifer influx of abnormal high-pressure gas reservoir[J]. Special Oil & Gas Reservoirs,2017,24(6):139-142.
[28] 马奔腾,段永刚,张哲伦,等. 深层高压有水气藏动态储量图版拟合计算方法[J]. 陕西科技大学学报,2023,41(1):103-109. MA Benteng,DUAN Yonggang,ZHANG Zhelun,et al. Typecurve-based method for dynamic reserve estimate in deep geopressured water-drive gas reservoirs[J]. Journal of Shaanxi University of Science & Technology,2023,41(1):103-109.
[29] 夏静,谢兴礼,冀光,等. 异常高压有水气藏物质平衡方程推导及应用[J]. 石油学报,2007,28(3):96-99. XIA Jing,XIE Xingli,JI Guang,et al. Derivation and application of material balance equation for over-pressured gas reservoir with aquifer[J]. Acta Petrolei Sinica,2007,28(3):96-99.
[30] 罗迪,张小龙,谭红,等. 异常高压水驱气藏物质平衡方程的推导及应用[J]. 西部探矿工程,2012,24(6):74-76. LUO Di,ZHANG Xiaolong,TAN Hong,et al. Derivation and application of material balance equation for abnormally high pressure water drive gas reservoirs[J]. West-China Exploration Engineering,2012,24(6):74-76.
[31] 刘云. 气藏水侵早期识别方法及水侵量计算研究:以河坝飞三气藏为例[D]. 成都:成都理工大学,2011. LIU Yun. Research of methods to identify early water influx of gas reservoirs and calculating water influx rate:Take Heba Feisan Gas Reservoir for example[D]. Chengdu:Chengdu University of Technology,2011.
[32] 唐建荣,熊钰,乐宏,等. 气藏工程技术[M]. 北京:石油工程出版社,2011:234-235. TANG Jianrong,XIONG Yu,YUE Hong,et al. Gas Reservoir Engineering Technology[M]. Beijing:Petroleum Engineering Press,2011:234-235.
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