In the initial stage of production of oil wells, affected by the production system, the production is unstable, and the conventional production decline analysis method is not applicable. To solve this problem, by means of transforming the variable production pressure solution of oil wells into the constant production pressure solution under Duhamel’s principle, a data analysis method suitable for early variable output production of oil wells is obtained through introducing material balance time and normalized production, and the mathematical model is used to fit the processed data, so as to obtain the inversion of reservoir parameters. Taking Well P1-2 in Daqing Oilfield as an example, the daily oil production and bottom-hole flow pressure production data were used to quantitatively analyze the production dynamics of a single well, and the regularized production-material balance time double logarithmic curve chart was plotted to perform the quantitative inversion interpretation of the real physical parameters of the formation. The results show that after the method is used to analyze the production data of variable output, the curve exhibits the characteristics of unstable flow and distinct segmentation of the boundary flow in the conventional decline plot. The practical application shows that the average error of this method is less than 10%, and the accuracy is high. This study can provide theoretical guidance for the early productivity analysis of oil wells.
[1] 王强,曾济楚,梁斌.基于Arps算法的产量递减规律研究与应用[J].录井工程,2021,32(2):142-146,150.
WANG Qiang,ZENG Jichu,LIANG Bin.Research and application of yield diminishing law based on Arps algorithm[J].Mud Logging Engineering,2021,32(2):142-146,150.
[2] 陈元千,徐良.Arps双曲线递减模型的多解性和不确定性[J].油气地质与采收率,2022,29(2):1-5.
CHEN Yuanqian,XU Liang.Multi-solution and uncertainty of Arps′ hyperbolic exponential decline model[J].Petroleum Geology and Recovery Efficiency,2022,29(2):1-5.
[3] 王怒涛,杜凌云,贺海波,等.油气井产量递减分析新方法[J].天然气地球科学,2020,31(3):335-339.
WANG Nutao,DU Lingyun,HE Haibo,et al.New method for analysis of oil and gas well production decline[J].Natural Gas Geoscience,2020,31(3):335-339.
[4] 李发印,宋考平.油气田产量相对变化率曲线及应用[J].特种油气藏,2011,18(1):61-63,138.
LI Fayin,SONG Kaoping.Curve of relative change of oil and gas production and its application[J].Special Oil & Gas Reservoirs,2011,18(1):61-63,138.
[5] 刘刚.现代产量递减分析技术在敖南气井中的应用[J].石油化工应用,2019,38(6):41-44,57.
LIU Gang.Application of modern production decline analysis technology in Aonan gas well[J].Petrochemical Industry Application,2019,38(6):41-44,57.
[6] 肖翠.现代产量递减分析法在鄂尔多斯盆地延川南煤层气田中的应用[J].天然气工业,2018,38(增刊1):102-106.
XIAO Cui.Application of modern production decline analysis method in Yanchuan south coalbed methane field in Ordos Basin[J].Natural Gas Industry,2018,38 (S1):102-106.
[7] 史乃光,任迪昌,郭兴江.现代产量递减曲线分析方法及其应用[J].天然气工业,1995,15(6):53-57,101.
SHI Naiguang,REN Dichang,GUO Xingjiang.Analysis method of present production decline curve and its application[J].Natural Gas Industry,1995,15(6):53-57,101.
[8] 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].SPE116731-MS,2008:1-23.
[9] VALKO P P,LEE W J.A better way to forecast production from unconventional gas wells[C].SPE134231-MS,2010:1-16.
[10] 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.
[11] 刘晓华,邹春梅,姜艳东,等.现代产量递减分析基本原理与应用[J].天然气工业,2010,30(5):50-54,139.
LIU Xiaohua,ZOU Chunmei,JIANG Yandong,et al.Theory and application of modern production decline analysis[J].Natural Gas Industry,2010,30(5):50-54,139.
[12] FETKOVICH M J.Decline curve analysis using type curves[J].Journal of Petroleum Technology,1980,32(6):1065-1077.
[13] PRATIKNO H,RUSHING J A,BLASINGAME T A.Decline curve analysis using type curves -fractured wells[C].SPE84287-MS,2003:1-14.
[14] DOUBLET L E,PANDE P K,MCCOLLUM T J,et al.Decline curve analysis using type curves analysis of oil well production data using material balance time:application to field cases[C].SPE28688-MS,1994:1-24.
[15] 岳陈军.页岩气井现代产量递减分析方法理论研究[D].成都:西南石油大学,2016.
YUE Chenjun.Theoretical research on modern production decline analysis methods for shale gas wells[D].Chengdu:Southwest Petroleum University,2016.
[16] BLASINGAME T A,MCCRAY T L,LEE W J.Decline curve analysis for variable pressure drop/variable flowrate systems[C].SPE21513-MS,1991:1-7.
[17] 崔彬,付玉通.煤层气井现代产量递减分析应用研究[J].煤炭科学技术,2017,45(3):101-104.
CUI Bin,FU Yutong.Applied study on modern gas production decrease analysis of coalbed methane well[J].Coal Science and Technology,2017,45(3):101-104.
[18] BLASINGAME T A,JOHNSTION J L,LEE W J.Type-curve analysis using the pressure integral method[C].SPE18799-MS,1989:525-538.
[19] 祝晓林,郭林,朱琴,等.NPI产量递减分析在海上油田试井中的应用[J].特种油气藏,2016,23(4):112-114,135.
ZHU Xiaolin,GUO Lin,ZHU Qin,et al.Application of NPI production decline analysis in the well test of offshore oilfield[J].Special Oil & Gas Reservoirs,2016,23(4):112-114,135.
[20] 程林松.高等渗流力学[M].第2版.北京:石油工业出版社,2020:102-109.
CHENG Linsong.Advanced mechanics of fluid flow in porous media[M].Second Edition.Beijing:Petroleum Industry Press,2020:102-109.
[21] EARLOUGHER R C,RAMEY H J,MILLER F G,et al.Pressure distributions in rectangular reservoirs[J].Journal of Petroleum Technology,1968,20(2):199-208.
[22] MATTHEWS C S,BRONS F,HAZEBROEK P.A method for determination of average pressure in a bounded reservoir[J].Transactions of the AIME,1954,201(1):182-191.
[23] BLASINGAME T A,LEE W J.Variable-rate reservoir limits testing[C].SPE15028-MS,1986:361-369.
