[1] Muskat M. The flow of homogeneous fluids through porous media[J]. Soil Science, 1938,46(2):169.
[2] Gringarten A C, Ramey J. The use of source and Green’s functions in solving unsteady-flow problems in reservoirs[J]. SPE Journal, 1973,13(5):285-296.
[3] Gringarten A C, Ramey H J, Raghavan R. Unsteady-state pressure distributions created by a well with a single infinite-conductivity vertical fracture[J]. SPE Journal, 1974,14(4): 347-360.
[4] Cinco-Ley H, Fernando S V. Transient pressure analysis for fractured wells[J]. Journal of Petroleum Technology, 1981,33(9): 1749-1766.
[5] 郑荣臣,严谨,张郁哲,等.多层压裂改造气井椭圆渗流压力动态特征[J].断块油气田,2020,27(2):207-212.
Zheng Rongchen, Yan Jin, Zhang Yuzhe, et al. Pressure transient behavior of multi-layer fracturing gas wells with elliptical flow[J]. Fault-Block Oil & Gas Field, 2020,27(2): 207-212.
[6] 程时清,刘斌,李双,等.多段生产水平井试井解释方法[J].中国海上油气,2014,26(6):44-50.
Cheng Shiqing, Liu Bin, Li Shuang, et al. A well test interpretation method of horizontal wells in multi-segment production[J]. China Offshore Oil and Gas, 2014,26(6):44-50.
[7] 李双,程时清,李露.压裂水平井考虑裂缝变质量线性流模型[J].科学技术与工程,2014,14(31):51-54.
Li Shuang, Cheng Shiqing, Li Lu. A method to calculate the production of fractured wells when considering variable mass flow[J]. Science Technology and Engineering, 2014,14(31):51-54.
[8] 曾凡辉,王树义,郭建春,等.裂缝面非均匀流入的气藏压裂水平井产量计算[J].天然气工业,2014,34(5):100-105.
Zeng Fanhui, Wang Shuyi, Guo Jianchun, et al. Yield calculation of a fractured horizontal well with a non-uniform gas flow on fracture surface[J]. Natural Gas Industry, 2014,34(5):100-105.
[9] 黄瑶,程时清,何佑伟,等.流量不均鱼骨状多分支水平井不稳定压力分析[J].深圳大学学报(理工版),2016,33(2):202-210.
Huang Yao, Cheng Shiqing, He Youwei, et al. Transient pressure analysis of fishbone multi-lateral horizontal well with non-uniform flux density[J]. Journal of Shenzhen University(Science and Engineering), 2016,33(2):202-210.
[10] 何佑伟,程时清,胡利民,等.多段压裂水平井不均匀产油试井模型[J].中国石油大学学报(自然科学版),2017,41(4):116-123.
He Youwei, Cheng Shiqing, Hu Limin, et al. A pressure transient analysis model of multi-fractured horizontal well in consideration of unequal production of each fracture [J]. Journal of China University of Petroleum(Edition of Natural Science), 2017,41(4):116-123.
[11] Bennett C O, Rosato N D, Reynolds A C, et al. Influence of fracture heterogeneity and wing length on the response of vertically fractured wells[J]. SPE Journal, 1983,23(2):219-230.
[12] Soliman M Y. Design and analysis of a fracture with changing conductivity[J]. Journal of Canada Petroleum Technology, 1986, 25(5):62-67.
[13] Gonzalez Chavez M A, Cinco-Ley H. Effect of pressure in a well with a vertical fracture with variable conductivity and skin fracture[C]. International Oil Conference and Exhibition in Mexico.Houston: SPE,2006.
[14] 牟珍宝,樊太亮.圆形封闭油藏变导流垂直裂缝井非稳态渗流数学模型[J].油气地质与采收率,2006,13(6):66-69.
Mou Zhenbao, Fan Tailiang. Mathematical model with unsteady-state filtering flow of vertically fractured well with varying conductivity for closed circle oil reservoir[J]. Petroleum Geology and Recovery Efficiency, 2006,13(6):66-69.
[15] Huang Y, Cheng S, Yu H, et al. A semi-analytical approach to estimate fracture closure and formation damage of vertically fractured wells in tight gas reservoir[J]. Journal of Petroleum Science and Engineering, 2017,150(1):85-90.
[16] 严谨,程时清,郑荣臣,等.确定压裂裂缝部分闭合的现代产量递减分析方法及应用[J].石油钻采工艺,2018,40(6):787-793.
Yan Jin, Cheng Shiqing, Zheng Rongchen, et al. Development and application of the modern production decline analysis method in consideration of partial closure of hydraulic fracture[J]. Oil Drilling & Production Technology, 2018,40(6): 787-793.
[17] Luo L, Cheng S Q, Lee J. Characterization of refracture orientation in poorly propped fractured wells by pressure transient analysis: model, pitfall, and application[J]. Journal of Natural Gas Science and Engineering, 2020,79(7):103332.
[18] 叶义平,钱根葆,徐有杰,等.页岩油压裂水平井变导流能力试井模型研究[J].西南石油大学学报(自然科学版),2021,43(1):111-119.
Ye Yiping, Qian Genbao, Xu Youjie, et al. Well test analysis of multi-stage horizontal well with varying conductivity in naturally fractured shale oil reservoir[J]. Journal of Southwest Petroleum University(Science & Technology Edition), 2021, 43(1):111-119.
[19] 王慧萍,吴嘉鑫,王锋,等.考虑缝间流量不对称的裂缝井干扰试井分析方法[J].科学技术与工程,2021,21(2):529-537.
Wang Huiping, Wu Jiaxin, Wang Feng, et al. Interference well-test model for fractured well considering rate asymmetry along fracture wings[J]. Science Technology and Engineering, 2021,21(2):529-537.
[20] Li J, Zhang C W, Xia Y, et al. Pressure transient analysis for hydraulically fractured wells with changing conductivity in stratified reservoirs: case study in Xinjiang Oilfield[J]. ACS Omega, 2022,7(34):30313-30320.
[21] Lee S H, Lough M F, Jensen C L. Hierarchical modeling of flow in naturally fractured formations with multiple length scales[J]. Water Resources Research, 2001,37(3):443-455.
[22] Panfili P, Cominelli A, Scotti A. Using embedded discrete fracture models (EDFMs) to simulate realistic fluid flow problems[C]. In Second EAGE workshop on naturally fractured reservoirs.Muscat: European Association of Geoscientists & Engineers, 2013:371.
[23] Jiamin J, Younis R M. Hybrid coupled discrete-fracture/matrix and multicontinuum models for unconventional-reservoir simulation[J]. SPE Journal, 2016,21(3):1009-1027.
[24] Liu H, Liao X, Tang X, et al. A well test model based on embedded discrete-fracture method for pressure-transient analysis of fractured wells with complex fracture networks[J]. Journal of Petroleum Science and Engineering, 2021,196(4): 108042.
[25] Agarwal R G. Real gas pseudo-time: a new function for pressure buildup analysis of MHF gas wells[C]. SPE Annual Technical Conference and Exhibition. Las Vegas: SPE,1979.
[26] AL-Hussainy R, Ramey H J, Crawford P B. The flow of real gases through porous media[J]. SPE Journal, 1966,18(5):624-636.
[27] Van Everdingen A F, Hurst W. The application of the Laplace transformation to flow problems in reservoirs[J]. Journal of Petroleum Technology, 1949,1(12):305-324.
[28] 程时清,夏位荣,郭康良,等.变井筒储集效应的典型曲线特征及实例分析[J].油气井测试,1992,1(4):11-19.
Cheng Shiqing, Xia Weirong, Guo Kangliang, et al. Type curve characteristics and application analysis for changing wellbore storage[J]. Well Testing, 1992,1(4):11-19.
[29] Fair W B. Pressure buildup analysis with wellbore phase redistribution[J]. SPE Journal, 1981,21(2):259-270.
[30] Stehfest H. Numerical inversion of Laplace transforms[J]. Communications of the ACM, 1970,13(10):624. |