3种常用页岩气井经验递减方法——以四川盆地威远区块为例

doi:10.11764/j.issn.1672-1926.2019.03.001

天然气地球科学

3种常用页岩气井经验递减方法——以四川盆地威远区块为例

王科，李海涛，李留杰，张庆，补成中，王志强

1.“油气藏地质及开发工程”国家重点实验室，西南石油大学，四川成都 610500；
2.延长石油集团研究院，陕西西安 710075；
3.中国石油集团川庆钻探工程有限公司，四川成都 610051

收稿日期:2019-01-27 修回日期:2019-03-13 出版日期:2019-07-10
作者简介:王科（1990-)，男，湖北黄冈人，博士研究生，主要从事页岩气井生产动态评价及压裂返排工艺研究.E-mail：490260359@qq.com.
基金资助:
国家科技重大专项“水平井产气剖面评价与深度酸化研究”（编号：2016ZX05017005-006)资助.

Research on three widely-used empirical decline methods for shale gas wells in Weiyuan block of the Sichuan Basin

Wang Ke，Li Hai-tao，Li Liu-jie，Zhang Qing，Bu Cheng-zhong，Wang Zhi-qiang

1.State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation，Southwest Petroleum University，Chengdu 610500，China；
2.Research Institute of Yanchang Petroleum (Group)Co.Ltd.，Xi’an 710075，China；
3.CNPC Chuanqing Drilling Engineering Co.Ltd.，Chengdu 610051，China

Received:2019-01-27 Revised:2019-03-13 Online:2019-07-10
About author:Wang Ke(1990-), Male, Doctoral candidate, Mainly engaged in shale gas well production dynamic evaluation and fracturing flowback technology research. E-mail：490260359@qq.com.
Supported by:
Supported by the China National Science and Technology Major Project “Research of the gas production profile evaluation and deep acidification in horizontal well” (Grant No. 2016ZX05017005-006).

摘要/Abstract

摘要： 页岩气井的递减规律与常规气井有一定的区别，分析页岩气井递减规律对准确评价页岩气井储量至关重要。经验递减法因为操作简单、有效而被广泛使用，但每种方法都有自身的缺陷及适用性，笼统的使用难免会造成很大的误差。分析了页岩气井的递减规律及SEPD法、Duong法及WK法这3种最为常用方法的特点，发现SEPD法是Arps指数递减的延伸，WK法是Duong法的延伸；并详细地给出了这些方法的应用步骤，结合四川威远区块的大量页岩气井得到了这3种方法的适用条件：①SEPD法不适用于页岩气井；②只有当气井进入边界流后，才可使用Duong法或WK法准确预测估算最终储量(EUR)；③数据波动对传统Duong法、WK法影响非常大。最后改进了Duong法中参数q1的获取途径，消除了数据波动对Duong法的影响，避免了Duong法多解性的问题；与WK法的对比，改进Duong法要优于WK法。

关键词: 威远页岩气, 递减规律, 经验递减法, 适用性, 改进Duong法, 产量及EUR预测

Abstract: The diminishing law of shale gas well is different from that of conventional gas well，thus to analyze the diminishing law of shale gas well is important for shale gas well in accurate reserves evaluation.Empirical methods have been widely introduced in the industry owing to their simplicity and efficiency，but each method has its own disadvantages and applicability，and general use of them without pertinence will inevitably cause a big error.The diminishing law of shale gas well has been discussed，and three most widely used empirical methods，including SEPD，Duong’s method and WK’s method，have also been analyzed with their characteristics and application steps.Further research of the three methods revealed that SEPD is the improvement of Arps’s exponential decline and WK’s method is the improvement of Duong’s method.Examples have been implemented to find out the application condition：(1)SEPD is not suitable for shale gas wells；(2)Only when the well is in boundary flow can use Duong’s method or WK’ method to predict EUR；(3)The fluctuation of production will make big errors in reserves evaluation by Duong’s method or WK’ method.At last improvement in obtaining the parameter q1 of Duong’s method has been proposed to eliminate the big errors caused by production fluctuation and avoid the problem of the multiple solutions in Duong’s method successfully，application results have shown that the improved Duong’s method is better than Wk’s method in production and EUR estimation.

Key words: Shale gas wells in Weiyuan block, The diminishing law, Empirical methods, Application condition, The improved Duong’s method, Production and EUR estimation

中图分类号:

TE357

王科, 李海涛, 李留杰, 张庆, 补成中, 王志强. 3种常用页岩气井经验递减方法——以四川盆地威远区块为例[J]. 天然气地球科学, 2019, 30(7): 946–954.

Wang Ke, Li Hai-tao, Li Liu-jie, Zhang Qing, Bu Cheng-zhong, Wang Zhi-qiang. Research on three widely-used empirical decline methods for shale gas wells in Weiyuan block of the Sichuan Basin[J]. Natural Gas Geoscience, 2019, 30(7): 946–954.

参考文献

［1］National Development and Reform Commission.4.27 Billion square meters of shale gas were produced in the Sichuan Basin by CNPC in 2018[EB/OL].[2019-1-7].http：∥www.ndrc.gov.cn/fzgggz/jjyx/mtzhgl/201901/t20190131_927314.html.
国家发展和改革委员会.中石油四川页岩气2018年产量达42.7亿立方米[EB/OL].[2019-1-7].http：∥www.ndrc.gov.cn/fzgggz/jjyx/mtzhgl/201901/t20190131_927314.html.
[2]Chen Y T，Jiang S，Zhang D X，et al.An adsorbed gas estimation model for shale gas reservoirs via statistical learning[J].Applied Energy，2017，197：327-341.
[3]Li H T，Wang K，Xie J，et al.A new mathematical model to calculate sand-packed fracture conductivity[J].Journal of Natural Gas Science and Engineering，2016，35：567-582.
[4]Duong A N.An unconventional rate decline approach for tight and fracture-dominated gas well[C].Paper CSUG/SPE 137748 presented at the Canadian Unconventional Resource & International Petroleum Conference held in Calgary，Alberta，Canada，19-21 October 2010.
[5]Zuo L H，Yu W，Wu K.A fractional decline curve analysis model for shale gas reservoirs[J].International Journal of Coal Geology，2016，163：140-148.
[6]Wang K，Li H T，Wang J C，et al.Predicting production and estimated ultimate recoveries for shale gas wells：A new methodology approach[J].Applied Energy，2017，206：1416-1431.
[7]Yu Shaoyong，Yao Jun.Unconventional Gas Reservoir Engineering[M].Beijing：Petroleum Industry Press，2013.
虞绍永，姚军.非常规气藏工程[M].北京：石油工业出版社，2013.
[8]Wei Yunsheng，Jia Ailing，He Dongbo，et al.Comparative analysis of development characteristics and technologies between shale gas and tight gas in China[J].Natural Gas Industry，2017，37(11)：43-52.
位云生，贾爱林，何东博，等.中国页岩气与致密气开发特征与开发技术异同[J].天然气工业，2017，37(11)：43-52.
[9]Gao Shusheng，Liu Huaxun，Ye Liyou，et al.Physical simulation experiment and numerical inversion of the full life cycle of shale gas well[J].Acta Petrolei Sinica，2018，39(4)：435-444.
高树生，刘华勋，叶礼友，等.页岩气井全生命周期物理模拟实验及数值反演[J].石油学报，2018，39(4)：435-444.
[10]Arps J J.Analysis of decline curves[J].Transactions of the Aime，1945，160(1)：228-247.
[11]Ilk D，Rushing J A，Perego A D，et al.Exponential vs.Hyperbolic decline in tight gas sands-understanding the origin and implications for reserve estimates using Arps’ Decline Curves[C].Paper SPE 116731 presented at the SPE Annual Technical Conference and Exhibition held in Denver，Colorado，USA，21-24 September 2008.
[12]Valko P P.Assigning value to stimulation in the Barnett shale：A simultaneous analysis of 7000 plus production histories and well completion records[C].Paper SPE 119369 presented at the SPE Hydraulic Fracturing Technology Conference held in The Woodlands，Texas，USA，19-21 January，2009.
[13]Joshi K，Lee J.Comparison of various deterministic forecasting techniques in shale gas reservoirs[C].Paper SPE 163870 presented at the SPE Hydraulic Fracturing Technology Conference held in The Woodlands，Texas，USA，4-6 February 2013.
[14]Clark A J，Lake L W，Patzek T W.Production forecasting with logistic growth models[C].Paper SPE 144790 presented at the SPE Annual Technical Conference and Exhibition held in Denver，Colorado，USA，30 October-2 November 2011.
[15]Mishra S.A new approach to reserves estimation in shale gas reservoirs using multiple decline curve analysis models[C].Paper SPE 161092 presented at the SPE Eastern Regional Meeting held in Lexington，Kentucky，USA，3-5 October 2012.
[16]Yousuf W，Blasingame T A.New models for time-cumulative behavior of unconventional reservoirs-diagnostic relations，production forecasting，and EUR methods[C].Paper URTeC 2461766 presented at the Unconventional Resource Technology Conference held in San Antonio，Texas，USA，1-3 August 2016.
[17]Fulford D S，Blasingame T A.Evaluation of time-rate performance of shale wells using the transient hyperbolic relation[C].Paper SPE 167242 presented at the SPE Unconventional Resource Conference-Canada held in Calgary，Alberta，Canada，5-7 November，2013.
[18]Zhang H，Rietz D，Cagle A，et al.Extended exponential decline curve analysis[J].Journal of Natural Gas Science and Engineering，2016，36：402-413.
[19]Maraggi L R，Lavia M A，Savioli G B.Production decline analysis in the Vaca Muerta Formation：The application of modern time-rate relation using public data[C].Paper SPE 180971-MS presented at the SPE Argentina Exploration and Production of Unconventional Resources Symposium held in Buenos Aires，Argentina，1-3 June 2016.
[20]Zhang Deliang，Wu Jianfa，Zhang Jian，et al.Application of the normalized production decline analysis method for shase gas of North America-taking Changning-Weiyuan demonstration area as an example[J].Science Technology and engineering，2018，18(34)：51-56.
张德良，吴建发，张鉴，等.北美页岩气规整化产量递减分析方法应用——以长宁—威远示范区为例[J].科学技术与工程，2018，18(34)：51-56.
[21]Yu Rongze，Jiang Wei，Zhang Xiaowei，et al.A review of empirical production decline analysis methods for shale gas reservoir[J].China Petroleum exploration，2018，23(1)：109-116.
于荣泽，姜巍，张晓伟，等.页岩气藏经验产量递减分析方法研究现状[J].中国石油勘探，2018，23(1)：109-116.
[22]Bello R O，Wattenbarger R A.Modeling and analysis of shale gas production with a skin effect[C].Paper SPE 143229-PA presented at the 10^th Canadian International Petroleum Conference，Calgary，16-18 June，2009.
[23]Al-Ahmadi H A，Almarzooq A M，Wattenbarger R A.Application of linear flow analysis to shale gas wells-field cases[C].Paper SPE 130370 presented at the SPE Unconventional Gas Conference held in Pittsburgh，Pennsylvania，USA，23-25 February 2010.

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