非达西渗流边水气藏水平井见水时间预测
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摘要
对边水气藏水平井的见水时间进行合理预测,有利于气藏的合理开发和更好地进行气藏评估。在目前的预测模型中,一般都假设地层中气体渗流为达西流动,但对于高产水平井,地层中流体渗流的非达西效应对见水时间的影响不可忽略。为研究更加符合实际生产情况的边水气藏水平井见水时间,在多孔介质流体质点渗流规律研究的基础上,采用椭球型水平井渗流模型,综合考虑了高产水平井气体渗流非达西流动效应、水平井距初始气水界面距离、水平段长度和气井产量等因素对见水时间的影响,推导出了具有近似直线供给边界的边水气藏见水时间的预测公式。对某一具体水平井见水时间进行了实例计算,并分析了相关影响因素。由计算结果可知,边水突破时间随着水平段长度的增加而变长;见水时间随着气井产量的增大而减小,且减小的速度逐渐变快;与未考虑气体非达西效应的气井见水时间预测公式相比,本文公式计算精度更高,更符合实际生产情况。该研究成果对科学、高效地开发边水气藏具有指导作用。
Reasonable prediction of water breakthrough time of horizontal wells in edge water gas reservoirs is beneficial to rational development of gas reservoirs and evaluation of gas reservoirs. In current prediction models,gas seepage in formation is generally assumed to be Darcy flow,but for high-yield horizontal wells,the non-Darcy effect of fluid seepage in formation on water breakthrough time cannot be ignored. In order to study water breakthrough time more coincident with actual production,based on particle seepage law of porous media fluid,an ellipsoidal horizontal well seepage model was adopted to comprehensively consider the effects of non-Darcy flow effect of gas seepage in high-yield horizontal wells,the distance between horizontal well and initial gas-water in-terface,the length of horizontal section and the production of gas wells on water breakthrough time,and a formula for predicting water breakthrough time of edge water gas reservoirs with approximate linear supply boundary was derived. The water breakthrough time of a specific horizontal well was calculated,and the related influencing factors were analyzed. The results show that the breakthrough time of edge water increases with the increase of the length of horizontal section;the breakthrough time decreases with the increase of gas well production,and the speed of reduction increases gradually. Compared with the prediction formula of water breakthrough time of gas wells without considering non-Darcy effect,the calculation accuracy of this formula is higher and more coincident with actual production. The research results have a guiding role in the scientific and efficient development of edge water gas reservoirs.
Reasonable prediction of water breakthrough time of horizontal wells in edge water gas reservoirs is beneficial to rational development of gas reservoirs and evaluation of gas reservoirs. In current prediction models,gas seepage in formation is generally assumed to be Darcy flow,but for high-yield horizontal wells,the non-Darcy effect of fluid seepage in formation on water breakthrough time cannot be ignored. In order to study water breakthrough time more coincident with actual production,based on particle seepage law of porous media fluid,an ellipsoidal horizontal well seepage model was adopted to comprehensively consider the effects of non-Darcy flow effect of gas seepage in high-yield horizontal wells,the distance between horizontal well and initial gas-water in-terface,the length of horizontal section and the production of gas wells on water breakthrough time,and a formula for predicting water breakthrough time of edge water gas reservoirs with approximate linear supply boundary was derived. The water breakthrough time of a specific horizontal well was calculated,and the related influencing factors were analyzed. The results show that the breakthrough time of edge water increases with the increase of the length of horizontal section;the breakthrough time decreases with the increase of gas well production,and the speed of reduction increases gradually. Compared with the prediction formula of water breakthrough time of gas wells without considering non-Darcy effect,the calculation accuracy of this formula is higher and more coincident with actual production. The research results have a guiding role in the scientific and efficient development of edge water gas reservoirs.
引文
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[14]廖恒杰,杨志兴,李元生,等.西湖凹陷气藏出水规律及控制因素.岩性油气藏,2017,29(6):135-141.LIAO H J,YANG Z X,LI Y S,et al.Water production laws and controlling factors of gas reservoir in Xihu Sag.Lithologic Reservoirs,2017,29(6):135-141.
[15]GUO X,WANG P,LIU J,et al.Gas-well water breakthrough time prediction model for high-sulfur gas reservoirs considering sulfur deposition.Journal of Petroleum Science and Engineering,2017,157:999-1006.
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[17]明瑞卿,贺会群,胡强法,等.边水凝析气藏高产井见水时间预测新模型.特种油气藏,2018,25(2):76-79.MING R Q,HE H Q,HU Q F,et al.A new model to predict the water breakthrough time of high-rate well in condensate gas reservoir with edge-aquifer.Special Oil and Gas Reservoirs,2018,25(2):76-79.
[18]陈元千.水平井产量公式的推导与对比.新疆石油地质,2008,29(1):68-71.CHEN Y Q.Derivation and correlation of production rate formula for horizontal well.Xinjiang Petroleum Geology,2008,29(1):68-71.
[19]黄全华,陆云,付云辉,等.考虑非达西效应的底水气藏见水时间预测方法.科学技术与工程,2016,16(14):137-140.HUANG Q H,LU Y,FU Y H,et al.An approach to predict water breakthrough time of gas reservoirs with bottom water in consideration of non-Darcy flow.Science Technology and Engineering,2016,16(14):137-140.
[20]李士伦.天然气工程.北京:石油工业出版社,2010:89-90.LI S L.Natural gas engineering.Beijing:Petroleum Industry Press,2010:89-90.
[21]陈元千,董宁宇.确定高速速度系数β的方法及其相关经验公式.断块油气田,1998,5(6):20-26.CHEN Y Q,DONG N Y.A method of determining high-velocity coefficientβand its correlation.Fault-Block Oil&Gas Field,1998,5(6):20-26.
[22]李元生,李相方,藤赛男,等.气藏高速油流系数新的经验公式的确定.断块油气田,2011,18(5):607-610.LI Y S,LI X F,TENG S N,et al.A new correction equation determining high velocity turbulence coefficient of gas reservoirs.Fault-Block Oil&Gas Field,2011,18(5):607-610.
[2]史乃光,杨维宁,杨正文.用系统辨识方法预测气井见水时间.天然气工业,1992,12(1):25-31.SHI N G,YANG W N,YANG Z W.Using system identification method to predict water breakthrough time in gas well.Natural Gas Industry,1992,12(1):25-31.
[3]石广志,冯国庆,张烈辉.某边水油藏开发数值模拟研究.天然气勘探与开发,2006,29(2):21-24.SHI G Z,FENG G Q,ZHANG L H.Numerical simulation in an edge-water oil reservoir.Natural Gas Exploration&Development,2006,29(2):21-24.
[4]KUO M C T,DESBRISAY C L.A simplified method for water coning predictions.SPE 12067,1983.
[5]王会强,李晓平,吴锋,等.边水气藏气井见水时间预测方法.特种油气藏,2008,15(4):73-74.WANG H Q,LI X P,WU F,et al.Prediction of water breakthrough time in gas reservoirs with edge water.Special Oil and Gas Reservoirs,2008,15(4):73-74.
[6]王会强,李晓平,杨琪,等.底水气藏见水时间预测方法.新疆石油地质,2007,28(1):92-93.WANG H Q,LI X P,YANG Q,et al.A Prediction of water breakthrough time in gas reservoirs with bottom water.Xinjiang Petroleum Geology,2007,28(1):92-93.
[7]吴克柳,李相方,张公涛,等.考虑反凝析的边水凝析气藏见水时间预测新方法.科学技术与工程,2011,11(19):4574-4577.WU K L,LI X F,ZHANG G T,et al.A novel approach to predict water breakthrough time in gas condensate reservoir with edge water considering retrograde condensation.Science Technology and Engineering,2011,11(19):4574-4577.
[8]杨芙蓉,樊平天,贺静,等.边水气藏高产气井见水时间预测方法.科学技术与工程,2013,13(29):8745-8747.YANG F R,FAN P T,HE J,et al.An approach to predict water breakthrough time in high gas rate wells of gas reservoirs with edge water.Science Technology and Engineering,2013,13(29):8745-8747.
[9]刘广为,姜汉桥,李龙元,等.边水油藏水平井见水时间预测新方法.科学技术与工程,2014,14(2):84-86.LIU G W,JIANG H Q,LI L Y,et al.New method of estimating water breakthrough time for horizontal wells in edge water drive reservoir.Science Technology and Engineering,2014,14(2):84-86.
[10]卞亚军,李立峰.底水油藏水平井见水时间预测方法研究概述.内江科技,2015(3):47.BIAN Y J,LI L F.An overview of the prediction method of water breakthrough time in horizontal wells of bottom water reservoir.Neijiang Technology,2015(3):47.
[11]汪周华,王子敦,邓丹,等.考虑重力及气体非达西效应影响的边水气藏边水突破时间预测模型.石油钻采工艺,2016,38(2):210-215.WANG Z H,WANG Z D,DENG D,et al.Model for prediction of edge-water breakthrough time in reservoirs with edge water with consideration to effects of gravity and non-Darcy effect of gases.Oil Drilling&Production Technology,2016,38(2):210-215.
[12]李传亮,朱苏阳.关于油藏含水上升规律的若干问题.岩性油气藏,2016,28(3):1-5.LI C L,ZHU S Y.Some topics about water cut rising rule in reservoirs.Lithologic Reservoirs,2016,28(3):1-5.
[13]黄全华,陆云,陈冲.带隔板底水气藏见水时间预测方法.岩性油气藏,2016,28(4):82-87.HUANG Q H,LU Y,CHEN C.Prediction of water break through time for bottom-water gas reservoir with barrier.Lithologic Reservoirs,2016,28(4):82-87.
[14]廖恒杰,杨志兴,李元生,等.西湖凹陷气藏出水规律及控制因素.岩性油气藏,2017,29(6):135-141.LIAO H J,YANG Z X,LI Y S,et al.Water production laws and controlling factors of gas reservoir in Xihu Sag.Lithologic Reservoirs,2017,29(6):135-141.
[15]GUO X,WANG P,LIU J,et al.Gas-well water breakthrough time prediction model for high-sulfur gas reservoirs considering sulfur deposition.Journal of Petroleum Science and Engineering,2017,157:999-1006.
[16]明瑞卿,贺会群,胡强法.底水凝析气藏见水时间预测新方法.特种油气藏,2018,25(5):99-103.MING R Q,HE H Q,HU Q F.A new method to predict water breakthrough time in condense gas reservoir with bottom-aquifer.Special Oil and Gas Reservoirs,2018,25(5):99-103.
[17]明瑞卿,贺会群,胡强法,等.边水凝析气藏高产井见水时间预测新模型.特种油气藏,2018,25(2):76-79.MING R Q,HE H Q,HU Q F,et al.A new model to predict the water breakthrough time of high-rate well in condensate gas reservoir with edge-aquifer.Special Oil and Gas Reservoirs,2018,25(2):76-79.
[18]陈元千.水平井产量公式的推导与对比.新疆石油地质,2008,29(1):68-71.CHEN Y Q.Derivation and correlation of production rate formula for horizontal well.Xinjiang Petroleum Geology,2008,29(1):68-71.
[19]黄全华,陆云,付云辉,等.考虑非达西效应的底水气藏见水时间预测方法.科学技术与工程,2016,16(14):137-140.HUANG Q H,LU Y,FU Y H,et al.An approach to predict water breakthrough time of gas reservoirs with bottom water in consideration of non-Darcy flow.Science Technology and Engineering,2016,16(14):137-140.
[20]李士伦.天然气工程.北京:石油工业出版社,2010:89-90.LI S L.Natural gas engineering.Beijing:Petroleum Industry Press,2010:89-90.
[21]陈元千,董宁宇.确定高速速度系数β的方法及其相关经验公式.断块油气田,1998,5(6):20-26.CHEN Y Q,DONG N Y.A method of determining high-velocity coefficientβand its correlation.Fault-Block Oil&Gas Field,1998,5(6):20-26.
[22]李元生,李相方,藤赛男,等.气藏高速油流系数新的经验公式的确定.断块油气田,2011,18(5):607-610.LI Y S,LI X F,TENG S N,et al.A new correction equation determining high velocity turbulence coefficient of gas reservoirs.Fault-Block Oil&Gas Field,2011,18(5):607-610.