建立了恒温控制模式下双水平井蒸汽辅助重力泄油（SAGD）油层电预热数学模型,并采用拉普拉斯变换和Stehfest数值反演对模型进行求解,同时选取双水平井SAGD开发区块典型井组,运用数值模拟方法验证了模型的准确性与可靠性。基于叠加原理,求解了地层中多井工作时的地温分布与能耗参数,建立了电加热相对于蒸汽加热的累计节能、节水和节省燃料当量的计算方法。通过对影响预热效果的主要参数进行敏感性分析,证实预热效果对加热温度最为敏感,呈非线性负相关特征;预热效果与孔隙度正线性相关,与井筒半径、含油饱和度负线性相关。采用新模型可实现地温分布、能耗参数、节能节水、节省燃料等关键指标的预测,同时结合油层预热达标温度,可以预测恒温模式预热所需的时间和能耗。图9表2参15
柳潇雄
,
蒋有伟
,
吴永彬
,
王家禄
. 双水平井蒸汽辅助重力泄油恒温电预热数学模型与指标预测[J]. 石油勘探与开发, 2018
, 45(5)
: 839
-846
.
DOI: 10.11698/PED.2018.05.09
Through Laplace transform and Stehfest numerical inversion, this research established a mathematical model for constant temperature electric heating of dual-horizontal-well steam-assisted gravity drainage (SAGD) start-up. To verify the model, a finite element simulation based on a typical SAGD block was completed, which proved the excellent agreement between the model solution and simulation results. Moreover, by means of superposition principle, underground temperature distribution and energy-related parameters during the multiwell operation were obtained, as well as a computational method targeted at quantifying the conserved energy, water and fuel of electric heating against steam heating. A parametric sensitivity analysis of electric heating was undertaken, which proved that the start-up effect is most sensitive to heating temperature, featuring a nonlinear negative correlation. Additionally, start-up effect is positively linear-correlative to porosity, and negatively linear-correlative to wellbore radius and oil saturation. The proposed model can be employed to predict key indexes such as underground temperature distribution, energy-consumption parameters, and accumulated conserved amounts of energy, water and fuel versus steam heating. Under a specified terminal temperature, temporal and energy quantities required by the start-up can also be determined.
[1] 梁光跃, 刘尚奇, 沈平平, 等. 油砂蒸汽辅助重力泄油汽液界面智能调控模型优选[J]. 石油勘探与开发, 2016, 43(2): 275-280.
LIANG Guangyue, LIU Shangqi, SHEN Pingping, et al.A new optimization method for steam-liquid level intelligent control model in oil sands steam-assisted gravity drainage (SAGD) process[J]. Petroleum Exploration and Development, 2016, 43(2): 275-280.
[2] CARRIZALES M A, JOHNS R T.Production improvement of heavy-oil recovery by using electromagnetic heating[R]. Denver: SPE Annual Technical Conference and Exhibition, 2008.
[3] JHA A K, JOSHI N, SINGH A.Applicability and assessment of micro-wave assisted gravity drainage (MWAGD) applications in Mehsana heavy oil field, India[R]. Cairo: North Africa Technical Conference and Exhibition, 2012.
[4] MOINI B, EDMUNDS N.Quantifying heat requirements for SAGD startup phase: Steam injection, electrical heating[J]. Journal of Canadian Petroleum Technology, 2013, 52(2): 89-94.
[5] 魏绍蕾, 程林松, 张登辉, 等. 稠油油藏双水平井SAGD生产电预热模型[J]. 西南石油大学学报(自然科学版), 2016, 38(1): 92-98.
WEI Shaolei, CHENG Linsong, ZHANG Denghui, et al.Analytical solution for double-horizontal-well SAGD electirc preheating model of heavy oil resevoirs[J]. Journal of Southwest Petroleum University (Science & Technology Edition), 2016, 38(1): 92-98.
[6] MEDIZADE M M, SUMMERS J T.Finite element modeling of reservoir heating by an electrical cable[R]. Bakersfield: SPE Western Regional Meeting, 2017.
[7] 关文龙, 席长丰, 陈龙, 等. 火烧辅助重力泄油矿场调控技术[J]. 石油勘探与开发, 2017, 44(5): 753-760.
GUAN Wenlong, XI Changfeng, CHEN Long, et al.Field control technology of combustion assisted gravity drainage (CAGD)[J]. Petroleum Exploration and Development, 2017, 44(5): 753-760.
[8] 李秋, 易雷浩, 唐君实, 等. 火驱油墙形成机理及影响因素[J]. 石油勘探与开发, 2018, 45(3): 474-481.
LI Qiu, YI Leihao, TANG Junshi, et al.Mechanisms and influencing factors of the oil bank in fire flooding[J]. Petroleum Exploration and Development, 2018, 45(3): 474-481.
[9] 何芝强. PID控制器参数整定方法及其应用研究[D]. 杭州: 浙江大学, 2005.
HE Zhiqiang.Parameters tuning of PID controller and its application[D]. Hangzhou: Zhejiang University, 2005.
[10] STEHFEST H.Algorithm 368: Numerical inversion of Laplace transforms[J]. Communications of the ACM, 1970, 13(1): 47-49.
[11] STEHFEST H.Remark on algorithm 368: Numerical inversion of Laplace transforms[J]. Communications of the ACM, 1970, 13(10): 624-625.
[12] 王勋. 输电电网实时计算与分析[D]. 保定: 华北电力大学, 2009.
WANG Xun.Real-time energy losses calculating and analyzing in the transmission network[D]. Baoding: North China Electric Power University, 2009.
[13] 张啸枫. 蒸汽辅助重力驱注蒸汽热损失及产量预测[D]. 成都: 西南石油大学, 2005.
ZHANG Xiaofeng.Injected steamheat loss and production rate of SAGD[D]. Chengdu: Southwest Petroleum University, 2005.
[14] 李柳强. 燃油锅炉热效率及影响因素分析[J]. 节能技术, 2013, 9(29): 134-136.
LI Liuqiang.Analysis of influencing factors and heat efficiency of oil-fired boiler[J]. Energy Conservation Technology, 2013, 9(29): 134-136.
[15] 王建国. 燃气锅炉热效率分析[J]. 区域供热, 2005(5): 25-27.
WANG Jianguo.Analysis of heat efficiency of gas-fired boiler[J]. District Heating, 2005(5): 25-27.
