[1] 孙贺东. 油气井现代产量递减分析方法及应用[M]. 北京: 石油工业出版社, 2013.
SUN Hedong.Advanced production decline analysis and application[M]. Beijing: Petroleum Industry Press, 2013.
[2] BLASINGAME T A, JOHNSTON J L, LEE W J.Type-curve analysis using the pressure integral method[R]. SPE 18799, 1993.
[3] BLASINGAME T A, ILK D, HOSSEINPOUR-ZONOOZI N.Application of the B-derivative function to production analysis[R]. SPE 107967, 2007.
[4] SHIH M Y, BLASINGAME T A.Decline curve analysis using type curves: Horizontal wells[R]. SPE 29572, 1995.
[5] MARHAENDRAJANA T, BLASINGAME T A.Decline-curve analysis using type curves-evaluation of well performance behavior in a multi-well reservoir system[R]. SPE 71517, 2011.
[6] PRATIKNO H, RUSHING J A, BLASINGAME T A.Decline curve analysis using type curves-fractured wells[R]. SPE 84287, 2003.
[7] CLARKSON C R, JORDAN C L, ILK D, et al.Production data analysis of fractured and horizontal CBM wells[R]. SPE 125929, 2009.
[8] NOBAKHT M, CLARKSON C R, KAVIANI D.New type curves for analyzing horizontal well with multiple fractures in shale gas reservoirs[J]. Journal of Natural Gas Science & Engineering, 2016, 10(1): 99-112.
[9] 魏明强, 段永刚, 方全堂, 等. 基于物质平衡修正的页岩气藏压裂水平井产量递减分析方法[J]. 石油学报, 2016, 37(4): 508-515.
WEI Mingqiang, DUAN Yonggang, FANG Quantang, et al.Production decline analysis method of fractured horizontal well in shale gas reservoirs based on modifying material balance[J]. Acta Petrolei Sinica, 2016, 37(4): 508-515.
[10] 俞绍诚. 陶粒支撑剂和兰州压裂砂长期裂缝导流能力的评价[J]. 石油钻采工艺, 1987, 9(5): 93-100.
YU Shaocheng.Evaluation of long term fracture conductivity of ceramsite proppant and Lanzhou fracturing sand[J]. Oil Drilling & Production Technology, 1987, 9(5): 93-100.
[11] 温庆志, 张士诚, 王雷, 等. 支撑剂嵌入对裂缝长期导流能力的影响研究[J]. 天然气工业, 2005, 25(5): 65-68.
WEN Qingzhi, ZHANG Shicheng, WANG Lei, et al.Influence of proppant embedment on fracture long term flow conductivity[J]. Natural Gas Industry, 2005, 25(5): 65-68.
[12] 卢聪, 郭建春, 王文耀, 等. 支撑剂嵌入及对裂缝导流能力损害的实验[J]. 天然气工业, 2008, 28(2): 99-101.
LU Cong, GUO Jianchun, WANG Wenyao, et al.Experimental research on proppant embedment and its damage to fractures conductivity[J]. Natural Gas Industry, 2008, 28(2): 99-101.
[13] 李勇明, 罗剑, 郭建春, 等. 介质变形和长期导流裂缝性气藏压裂产能模拟研究[J]. 天然气工业, 2006, 26(9): 103-105.
LI Yongming, LUO Jian, GUO Jianchun, et al.Numerical simulation of post-frac performance in naturally fractured gas reservoir with medium deformation and long term fracture conductivity[J]. Natural Gas Industry, 2006, 26(9): 103-105.
[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] 熊健, 马振昌, 马华, 等. 考虑变导流能力的垂直裂缝油井产能方程[J]. 复杂油气藏, 2013, 6(4): 52-54, 64.
XIONG Jian, MA Zhenchang, MA Hua, et al.Study on production of vertical fracture oil well under the condition of variable conductivity[J]. Complex Hydrocarbon Reservoirs, 2013, 6(4): 52-54, 64.
[16] 高阳, 赵超, 董平川, 等. 致密气藏变导流能力裂缝压裂水平井不稳定渗流模型[J]. 大庆石油地质与开发, 2015, 34(6): 141-147.
GAO Yang, ZHAO Chao, DONG Pingchuan, et al.Transient flow model of the fractured horizontal well with variable conductivity fractures in tight gas reservoirs[J]. Petroleum Geology & Oilfield Development in Daqing, 2015, 34(6): 141-147.
[17] DRANCHUK P M, PURVIS R A, ROBINSON D B.Computer calculation of natural gas compressibility factors using the Standing and Katz correlation[R]. Edmonton: Annual Technical Meeting, 1973.
[18] LEE A, GONZALEZ M, EAKIN B.The viscosity of natural gases[J]. Journal of Petroleum Technology, 1966, 18(8): 997-1000.
[19] 孙贺东, 欧阳伟平, 张冕. 基于数值模型的气井现代产量递减分析及动态预测[J]. 石油学报, 2017, 38(10): 1194-1199.
SUN Hedong, OUYANG Weiping, ZHANG Mian.Advanced production decline analysis and performance forecasting of gas wells based on numerical model[J]. Acta Petrolei Sinica, 2017, 38(10): 1194-1199.
[20] 杨朝蓬, 高树生, 郭立辉, 等. 致密砂岩气藏应力敏感性及其对产能的影响[J]. 钻采工艺, 2013, 36(2): 58-61.
YANG Zhaopeng, GAO Shusheng, GUO Lihui, et al.Effect of stress sensitivity on well productivity in tight gas reservoir[J]. Drilling & Production Technology, 2013, 36(2): 58-61.
[21] 肖文联, 李滔, 李闽, 等. 致密储集层应力敏感性评价[J]. 石油勘探与开发, 2016, 43(1): 107-114.
XIAO Wenlian, LI Tao, LI Min, et al.Evaluation of the stress sensitivity in tight reservoirs[J]. Petroleum Exploration and Development, 2016, 43(1): 107-114.
[22] 窦宏恩, 张虎俊, 姚尚林, 等. 致密储集层岩石应力敏感性测试与评价方法[J]. 石油勘探与开发, 2016, 43(6): 1022-1028.
DOU Hongen, ZHANG Hujun, YAO Shanglin, et al.Measurement and evaluation of the stress sensitivity in tight reservoirs[J]. Petroleum Exploration and Development, 2016, 43(6): 1022-1028.
[23] 贺伟, 冯曦, 钟孚勋. 低渗储层特殊渗流机理和低渗透气井动态特征探讨[J]. 天然气工业, 2002, 22(增刊1): 91-94.
HE Wei, FENG Xi, ZHONG Fuxun.Discussion on the special percolation mechanism of low permeability reservoir and the performance characteristics of low permeability gas well[J]. Natural Gas Industry, 2002, 22(Supp.1): 91-94.
[24] 朱维耀, 宋洪庆, 何东博, 等. 含水低渗气藏低速非达西渗流数学模型及产能方程研究[J]. 天然气地球科学, 2008, 19(5): 685-689.
ZHU Weiyao, SONG Hongqing, HE Dongbo, et al.Low-velocity non-Darcy gas seepage model and productivity equations of low-permeability water-bearing gas reservoirs[J]. Natural Gas Geoscience, 2008, 19(5): 685-689.
[25] 肖晓春, 潘一山. 滑脱效应影响的低渗煤层气运移实验研究[J]. 岩土工程学报, 2009, 31(10): 1554-1558.
XIAO Xiaochun, PAN Yishan.Experimental study of gas transfusion with slippage effects in hypotonic coal reservoir[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(10): 1554-1558.
[26] 肖晓春, 潘一山. 考虑滑脱效应的水气耦合煤层气渗流数值模拟[J]. 煤炭学报, 2006, 31(6): 711-715.
XIAO Xiaochun, PAN Yishan.Coal-bed methane percolation numerical simulation considering gas slippage and water-gas coupling[J]. Journal of China Coal Society, 2006, 31(6): 711-715.
[27] KLINKENBERG L J.The permeability of porous media to liquids and gases[J]. Socar Proceedings, 1941, 2(2): 200-213.
[28] 罗瑞兰, 冯金德, 唐明龙, 等. 低渗储层应力敏感评价方法探讨[J]. 西南石油大学学报(自然科学版), 2008, 30(5): 161-164.
LUO Ruilan, FENG Jinde, TANG Minglong, et al.Probe into evaluation methods for stress sensitivity of low permeability reservoirs[J]. Journal of Southwest Petroleum University (Science & Technology Edition), 2008, 30(5): 161-164.
[29] 罗瑞兰, 程林松, 彭建春, 等. 确定低渗岩心渗透率随有效覆压变化关系的新方法[J]. 中国石油大学学报(自然科学版), 2007, 31(2): 87-90.
LUO Ruilan, CHENG Linsong, PENG Jianchun, et al.A new method of determining relationship between permeability and effective overburden pressure for low-permeability reservoirs[J]. Journal of China University of Petroleum (Edition of Natural Science), 2007, 31(2): 87-90.
[30] WAN Y Z, LIU Y W, OUYANG W P, et al.Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model[J]. Applied Mathematics and Mechanics, 2016, 37(5): 611-626.
[31] WAN Y Z, LIU Y W, LIU W C, et al.A numerical approach for pressure transient analysis of a vertical well with complex fractures[J]. Acta Mechanica Sinica, 2016, 32(4): 640-648.
[32] 张涤明, 蔡崇喜, 章克本, 等. 计算流体力学[M]. 广州: 中山大学出版社, 1991.
ZHANG Diming, CAI Chongxi, ZHANG Keben, et al.Computational fluid dynamics[M]. Guangzhou: Sun Yat-sen University Press, 1991.