王军磊,李波,赵凡,周明旺
WANG Junlei,LI Bo,ZHAO Fan,ZHOU Mingwang

• 1:中国石油勘探开发研究院
• 2:中国石油辽河油田分公司

摘要(Abstract)：

气藏压力扰动传播规律反映气井周围储层有效动用范围,是分析气井生产数据的理论基础。基于动边界思想,将压力扰动外边缘视为探测边界,运用积分方法求解了气体不稳定渗流数学模型,得到了变产量条件下压力分布及探测边界传播规律的近似表达式。对近似解作理论分析:计算不同工作制度下井底流压和流量,与经典解良好的拟合结果验证了近似解的合理性;计算探测边界内地层所提供流量占井筒流量的比例,超过90%的供给比例保证了在探测边界内使用物质平衡方程的可靠性。算法适用于气井变产量生产,引入物质平衡时间后可以获得探测边界移动规律,结合物质平衡方程能够对气井的不稳定生产数据进行解释分析。
The propagation laws of the pressure disturbance in a gas reservoir can reflect the effectively developed range of the reservoirs around the gas wells and moreover are the theoretical basis of analyzing the production data of the gas wells.Based on the idea of moving boundary,the outside edge of the pressure disturbance is regarded as the boundary of the investigation,the solutions of the mathematical model of non-linear unsteady flow for the gas are obtained by means of integral method and then the approximate expressions of the pressure distribution and propagation laws of the investigated and explored boundary are achieved under the conditions of the variable production rate.The theoretical analyses on the approximate solutions are conducted,the bottomhole pressure and flow rate are calculated in different working systems,the much better matched results with the classical solutions prove that the former solutions are rational;through computing the proportions of the flow rate from the formations within the investigated boundary to the borehole flow rate,over 90%supplied proportion ensures the reliability of the adoption of the material balance equation(MBE) within the boundary.The algorism stated in the paper is feasible to the variable production operation of the gas wells,after introducing the material balance time,the moving laws of the investigated boundary are achieved.In addition,integrating with MBE,the unstable production data can be analyzed and interpreted for the gas wells.

关键词(KeyWords)： 线性流;变产量生产;探测边界;近似解;物质平衡时间
linear flow;variable rate/production operation;boundary investigation/exploration;approximate solution;material balance time

Abstract:

Keywords:

基金项目(Foundation): 国家科技重大专项“大型油气田及煤层气开发”(2011ZX05015)

作者(Author): 王军磊,李波,赵凡,周明旺
WANG Junlei,LI Bo,ZHAO Fan,ZHOU Mingwang

参考文献(References)：

• [1]吕志凯,何顺利,黄伟,等.水平井分段压裂总应力场计算模型[J].大庆石油地质与开发,2012,31(2):120-124.
• [2]刘英宪,苏彦春,马奎前,等.垂直裂缝井产能计算新方法[J].大庆石油地质与开发,2013,32(1):87-90.
• [3]Anderson D M,Nobakht M,Moghadam S,et al.Analysis of production data from fractured sha1e gas wells[R].SPE131787,2010:1-12.
• [4]陈汾君,汤勇,刘世铎,等.低渗致密气藏水平井分段压裂优化研究[J].特种油气藏,2012,19(6):85-88.
• [5]李欣,段胜楷,侯大力,等.多级压裂页岩气水平井的不稳态生产数据分析[J].天然气工业,2012,32(12):1-5.
• [6]王晓冬,胡永乐,丁一萍.水平井生产数据分析模型[J].石油勘探与开发,2010,37(1):99-103.
• [7]Anderson D M,Mattar L An improved pseudo-time for gas reservoirs with significant transient flow[R].CIPC2005-114,2005:1-13.
• [8]王晓冬,梁继德,张善严.松-1法公式的应用条件研究[J].大庆石油地质与开发,2004,23(6):41-43.
• [9]刘淑芬,赵旭,卢德唐,等.水平裂缝井试井解释方法及现场应用[J].大庆石油地质与开发,2013,32(2):75-78.
• [10]Nobakht M,Clarkson C R.A new analytical method for analyzing linear flow in tight/shale gas reservoirs:constant-flowing-pressure boundary condition[R].SPE143989,2011:101-114.
• [11]Nobakht M,Clarkson C R.A new analytical method for analyzing linear flow in tight/shale gas reservoirs:constant-rate boundary condition[R].SPE143990,20 1:123-140.
• [12]Wattenbarger R A,EI-Banbi A H,Villegas M E,et a1.Production analysis of linear flow into fractured tight gas wells[R].SPE39931,1998:1-13.
• [13]王晓冬,侯晓春,郝明强,等.低渗透介质有启动压力梯度的不稳定压力分析[J].石油学报,2011,32(5):847-851.
• [14]郑春峰,程时清,李冬瑶.低渗透油藏通用非达西渗流模型及压力曲线特征[J].大庆石油地质与开发,2009,28(4):61-64.
• [15]Olorode O M,Freeman c M,Moridis G J,et al.High-resolution numerical modeling of complex and irregular fracture patterns in shale gas and tight gas reservoirs[R].SPE152482,2012:41-53.
• [16]杜保健,程林松,曹仁义.致密油藏体积压裂水平井开发效果[J].大庆石油地质与开发,2014,33(1):96-101.
• [17]雷刚,董睿涛,杨书.致密砂岩气藏垂直压裂井拟稳态流动产能分析[J].大庆石油地质与开发,2014,33(1):170-174.
• [18]王洋,袁清芸,张烨.塔河油田3区水平井控缝高技术[J].大庆石油地质与开发,2013,32(6):95-98.
• [19]罗懿,邓学峰,陈艳.变形介质影响下低渗透油田压裂水平井产能分析[J].大庆石油地质与开发,2013,32(6):90-94.
• [20]丁一萍,郝明强,王晓冬.特低渗油藏水平井产能公式霍尔数敏感性分析[J].大庆石油地质与开发,2010,29(6):65-68.
• [21]程绍鹏,叶静.压裂气井合理试气压差的优化模型[J].大庆石油地质与开发,2013,32(6):99-102.
• [22]任俊杰,郭平,王德龙.非对称裂缝垂直压裂井稳态产能计算模型[J].大庆石油地质与开发,2013,32(5):72-76.
• [23]李志强,胡永全,赵金洲.海上水平井同井不同压裂裂缝注采模拟[J].大庆石油地质与开发,2013,32(5):87-91.
• [24]刘建坤,郭和坤,吴春方.致密储层压裂液稠化剂损害实验评价方法[J].大庆石油地质与开发,2013,32(5):98-103.
• [25]张永平.考虑启动压力梯度的特低渗透油藏压裂水平井产能预测模型[J].大庆石油地质与开发,2013,32(3):57-61.
• [26]张磊,李相方,徐兵祥.考虑滑脱效应的页岩气压裂水平井产能评价理论模型[J].大庆石油地质与开发,2013,32(3):157-163.
• [27]于士泉,李伟,钟琳.徐深气田火山岩气藏水平井开发优化设计技术[J].大庆石油地质与开发,2013,32(1):71-75.
• [28]孔祥言.高等渗流力学[M].合肥:中国科技大学出版社,1999.