Tri-Porosity and Dual-Permeability Well Test Analysis Model for Inclined Wells in Fractured-Vuggy Reservoirs

doi:10.7657/XJPG20220514

Abstract

Abstract:

In fractured-vuggy reservoirs, there is cross flow between the matrix, fractures and cavities, and the matrix and fractures supply fluid to the wellbore at the same time. Assuming that the reservoir is horizontal, equal in thickness, impermeable at top and bottom, and infinite laterally, a theoretical model of well test analysis for inclined wells was established. The analytical solution of the model in the Laplace space was obtained by means of Laplace transform and variable separation, and the solution of the bottom hole pressure was obtained through Stehfest inversion. Type curves controlled by model parameters for well test analysis were used for flow stage identification and curve sensitivity analysis were conducted. The tri-porosity and dual-permeability well test type curves of inclined wells reflect 8 main flow stages, including early radial flow stage, linear flow stage, cavity-to-fracture cross flow stage, cavity-to-matrix cross flow stage and the matrix-to-fracture stage, etc. The values of parameters such as inclination and fracture-reservoir permeability ratio obviously influence the characteristics of the well test type curves.

Key words: fractured-vuggy reservoir, tri-porosity and dual-permeability, inclined well, well test analysis model, Laplace transform, type curve, flow stage, sensitivity analysis

CLC Number:

TE344

JIA Ran, NIE Renshi, LIU Yong, WANG Peijun, NIU Ge, LU Cong. Tri-Porosity and Dual-Permeability Well Test Analysis Model for Inclined Wells in Fractured-Vuggy Reservoirs[J]. Xinjiang Petroleum Geology, 2022, 43(5): 606-611.

Figures/Tables 5

References 27

[1]	CINCO H, MILLER F G, RAMEY H J. Unsteady-state pressure distribution created by a directionally drilled well[J]. Journal of Petroleum Technology, 1975, 27(11):1 392-1 400. doi: 10.2118/5131-PA
[2]	ABBASZADEH M, HEGEMAN P S. Pressure-transient analysis for a slanted well in a reservoir with vertical pressure support[J]. SPE Formation Evaluation, 1990, 5(3):277-284. doi: 10.2118/19045-PA
[3]	OZKAN E, RAGHAVAN R. New solutions for well-test-analysis problems:part 1-analytical considerations[J]. SPE Formation Evaluation, 1991, 6(3):359-368. doi: 10.2118/18615-PA
[4]	FAIR P S, KIKANI J, WHITE C D. Modeling high-angle wells in laminated pay reservoirs[J]. SPE Reservoir Evaluation & Engineering, 1999, 2(1):46-52.
[5]	廖新维, 孙瑞东, 顾岱鸿. 斜井井底压力特征分析及解释图版研制[J]. 断块油气田, 1997, 4(5):36-41.
	LIAO Xinwei, SUN Ruidong, GU Daihong. The analysis of bottom-hole pressure characteristics and development of interpretation graph in slanted well[J]. Fault-Block Oil & Gas Field, 1997, 4(5):36-41.
[6]	廖新维, 陈钦雷. 均质油藏斜井试井模型研究[J]. 中国海上油气(地质), 1998, 12(5):332-338.
	LIAO Xinwei, CHEN Qinlei. Discussion on well test model of homogeneous reservoir in slanted well[J]. China Offshore Oil and Gas(Geology), 1998, 12(5):332-338.
[7]	王德山, 聂立新, 李兆敏. 斜井试井分析方法研究[J]. 西安石油大学学报(自然科学版), 2006, 21(5):50-54.
	WANG Deshan, NIE Lixin, LI Zhaomin. Study on the analytic method for the well testing of deflecting wells[J]. Journal of Xi’an Shiyou University(Natural Science Edition), 2006, 21(5):50-54.
[8]	王海静, 仝兴华, 薛世峰, 等. 板状油藏大斜度井流入动态[J]. 中国石油大学学报(自然科学版), 2011, 35(6):88-94.
	WANG Haijing, TONG Xinghua, XUE Shifeng, et al. Inflow performance of highly deviated well in slab reservoir[J]. Journal of China University of Petroleum(Edition of Natural Science), 2011, 35(6):88-94.
[9]	李巍, 卢德唐, 王磊, 等. 复杂边界斜井试井分析方法研究[J]. 油气井测试, 2009, 18(6):1-5.
	LI Wei, LU Detang, WANG Lei, et al. A transient pressure solution for inclined wells with complex boundaries[J]. Well Testing, 2009, 18(6):1-5.
[10]	FENG Guoqing, LIU Qiguo. Pressure transient behavior of a slanted well with an impermeable fault[J]. Journal of Hydrodynamics, 2014, 26(6):980-985. doi: 10.1016/S1001-6058(14)60108-6
[11]	SOUSA B R, MORENO R B Z L. Transition radial flow in slanted well test analysis[R]. SPE 177034, 2015.
[12]	廖新维. 双重介质拟稳态油藏斜井试井模型研究[J]. 石油勘探与开发, 1998, 25(5):57-61.
	LIAO Xinwei. Discussion of slanted well test model in dual-porosity reservoirs with pseudo steady state flow[J]. Petroleum Exploration and Development, 1998, 25(5):57-61.
[13]	杨雷, 黄诚, 段永刚, 等. 大斜度井、分支井的不稳定压力动态分析[J]. 西南石油学院学报, 2002, 24(2):25-27.
	YANG Lei, HUANG Cheng, DUAN Yonggang, et al. Pressure transient interpretation of inclined well & lateral well[J]. Journal of Southwest Petroleum Institute, 2002, 24(2):25-27.
[14]	姜瑞忠, 沈泽阳, 崔永正, 等. 双重介质低渗油藏斜井压力动态特征分析[J]. 岩性油气藏, 2018, 30(6):131-137.
	JIANG Ruizhong, SHEN Zeyang, CUI Yongzheng, et al. Dynamical characteristics of inclined well in dual medium low permeability reservoir[J]. Lithologic Reservoirs, 2018, 30(6):131-137.
[15]	张小龙, 李晓平, 张旭, 等. 直角断层板状双重介质油藏斜井试井模型研究[J]. 油气井测试, 2012, 21(6):1-4.
	ZHANG Xiaolong, LI Xiaoping, ZHANG Xu, et al. Research on inclined well test model for orthographic fault slabby double porosity reservoir[J]. Well Testing, 2012, 21(6):1-4.
[16]	卢婷, 王鸣川, 马文礼, 等. 考虑多重应力敏感效应的页岩气藏压裂水平井试井模型[J]. 新疆石油地质, 2021, 42(6):741-748.
	LU Ting, WANG Mingchuan, MA Wenli, et al. Fractured horizontal well test model for shale gas reservoirs with considering multiple stress sensitive factors[J]. Xinjiang Petroleum Geology, 2021, 42(6):741-748.
[17]	陈方方, 贾永禄, 乔忠明, 等. 三重介质油藏渗流模型与试井样板曲线[J]. 新疆石油地质, 2008, 29(3):350-353.
	CHEN Fangfang, JIA Yonglu, QIAO Zhongming, et al. Flow model and well test type curves for triple-medium reservoirs[J]. Xinjiang Petroleum Geology, 2008, 29(3):350-353.
[18]	林永学, 高书阳, 曹耐, 等. 考虑应力敏感的缝洞型油藏三重介质试井分析理论模型[J]. 科学技术与工程, 2021, 21(11):4 345-4 351.
	LIN Yongxue, GAO Shuyang, CAO Nai, et al. A theoretical model of triple medium well test analysis for fractured-vuggy reservoirs considering stress sensitivity[J]. Science Technology and Engineering, 2021, 21(11):4 345-4 351.
[19]	吴梅莲, 柴雄, 周碧辉, 等. 缝洞型碳酸盐岩储集层连通性刻画及应用[J]. 新疆石油地质, 2022, 43(2):188-193.
	WU Meilian, CHAI Xiong, ZHOU Bihui, et al. Connectivity characterization of fractured-vuggy carbonate reservoirs and application[J]. Xinjiang Petroleum Geology, 2022, 43(2):188-193.
[20]	李成勇, 刘启国, 张燃, 等. 三重介质油藏水平井试井解释模型研究[J]. 西南石油学院学报, 2006, 28(4):32-35.
	LI Chengyong, LIU Qiguo, ZHANG Ran, et al. The research of well test of horizontal well in triple medium reservoir[J]. Journal of Southwest Petroleum Institute, 2006, 28(4):32-35.
[21]	孟凡坤, 雷群, 何东博, 等. 三孔均质复合碳酸盐岩气藏斜井试井解释模型[J]. 新疆石油地质, 2018, 39(5):591-596.
	MENG Fankun, LEI Qun, HE Dongbo, et al. Well test interpretation model for deviated wells in tri-porosity-media and homogeneous composite carbonate gas reservoirs[J]. Xinjiang Petroleum Geology, 2018, 39(5):591-596.
[22]	任俊杰, 郭平, 汪周华. 三重介质油藏斜井压力动态特征分析[J]. 水动力学研究与进展, 2012, 27(1):7-15.
	REN Junjie, GUO Ping, WANG Zhouhua. Dynamical characteristic analysis of inclined well in triple medium reservoir[J]. Chinese Journal of Hydrodynamics, 2012, 27(1):7-15.
[23]	LI Daolun, WANG Yilin, ZHA Wenshu, et al. Pressure transient behaviors of hydraulically fractured horizontal shale-gas wells by using dual-porosity and dual-permeability model[J]. Journal of Petroleum Science and Engineering, 2018, 164:531-545. doi: 10.1016/j.petrol.2018.01.016
[24]	NIE Renshi, MENG Yingfeng, JIA Yonglu, et al. Dual porosity and dual permeability modeling of horizontal well in naturally fractured reservoir[J]. Transport in Porous Media, 2012, 92:213-235. doi: 10.1007/s11242-011-9898-3
[25]	张德志, 姚军, 王子胜, 等. 三重介质油藏试井解释模型及压力特征[J]. 新疆石油地质, 2008, 29(2):222-226.
	ZHANG Dezhi, YAO Jun, WANG Zisheng, et al. Well test interpretation model and pressure response for triple porosity media reservoir[J]. Xinjiang Petroleum Geology, 2008, 29(2):222-226.
[26]	程时清, 张利军, 李相方. 三重介质分支水平井试井分析[J]. 水动力学研究与进展, 2009, 24(2):127-132.
	CHENG Shiqing, ZHANG Lijun, LI Xiangfang. Well-test analysis of multi-branched horizontal wells in a triple medium reservoir[J]. Chinese Journal of Hydrodynamics, 2009, 24(2):127-132.
[27]	STEHFEST H. Numerical inversion of Laplace transforms[J]. Communications of the ACM, 1970, 13(1):47-49. doi: 10.1145/361953.361969