缝洞型碳酸盐岩油藏水平井分形非线性渗流

doi:10.12108/yxyqc.20190613

岩性油气藏 ›› 2019, Vol. 31 ›› Issue (6): 118–126.doi: 10.12108/yxyqc.20190613

缝洞型碳酸盐岩油藏水平井分形非线性渗流

姜瑞忠¹, 张春光¹, 郜益华², 耿艳宏², 余辉¹, 李昊远³

1. 中国石油大学(华东)石油工程学院, 山东青岛 266580;
2. 中海油研究总院有限责任公司, 北京 100028;
3. 西安石油大学地球科学与工程学院, 西安 710000

收稿日期:2019-04-10 修回日期:2019-07-12 出版日期:2019-11-21 发布日期:2019-09-28
第一作者:姜瑞忠(1964-),男,博士,教授,博士生导师,主要从事油气田开发方面的研究工作。地址:(266580)山东省青岛市黄岛区长江西路66号中国石油大学(华东)石油工程学院。Email:jrzhong@126.com。
基金资助:
国家自然科学基金项目"致密储层体积压裂缝网扩展模拟研究"（编号：51574265）以及国家科技重大专项"厚层非均质性气藏产能评价及预测技术研究"（编号：2016ZX05027-004-004）和"低渗、特低渗油藏水驱扩大波及体积方法与关键技术"（编号：2017ZX05013-002）联合资助

Fractal nonlinear seepage model of horizontal wells in fractured-vuggy carbonate reservoirs

JIANG Ruizhong¹, ZHANG Chunguang¹, GAO Yihua², GENG Yanhong², YU Hui¹, LI Haoyuan³

1. College of Petroleum Engineering, China University of Petroleum(East China), Qingdao 266580, Shandong, China;
2. CNOOC Research Institute Co., Ltd., Beijing 100028, China;
3. College of Earth Sciences and Engineering, Xi'an Shiyou University, Xi'an 710000, China

Received:2019-04-10 Revised:2019-07-12 Online:2019-11-21 Published:2019-09-28

摘要/Abstract

摘要： 基于欧氏空间的传统渗流理论描述缝洞型碳酸盐岩油藏的多尺度和非均质特征时存在局限性。考虑边界层和流体屈服应力的影响，描述致密基质块的非线性渗流特性，应用分形理论描述裂缝系统的分形特征，同时考虑储层的应力敏感性，建立缝洞型碳酸盐岩油藏水平井分形非线性渗流模型；应用有限元法求解渗流模型，绘制水平井压力动态曲线，并对比不同渗流模型的压力动态曲线特征，分析渗流规律，将渗流过程划分为9个特征流动阶段；对非线性参数和分形指数等相关参数进行敏感性分析，并结合测井数据将新模型应用于矿场渗流参数的解释。结果表明：非线性参数主要影响基质向裂缝系统的窜流强度，而分形指数使得压力动态曲线在渗流中后期逐渐上翘，且上翘幅度随分形指数的增大而加剧。分形非线性模型的矿场应用表明，该模型符合储层实际生产状况，对提高试井解释的准确性有指导意义。

关键词: 缝洞型, 水平井, 非线性, 分形理论, 有限元

Abstract: Traditional seepage theory based on Euclidean space has limitations in characterizing multi-scale characteristics and heterogeneity of fractured-vuggy carbonate reservoirs. Considering the influence of boundary layer and fluid yield stress,the nonlinear seepage characteristics of dense matrix blocks were described. In addition, the fractal theory was applied to describe the fractal characteristics of the fracture system and the stress sensitivity of reservoirs were considered. The fractal nonlinear seepage model of horizontal well in fractured-vuggy carbonate reservoir was established accordingly. The dynamic pressure curves of the horizontal well were drawn by applying finite element method to solve the seepage model. The seepage law was analyzed by comparing the dynamic pressure curves of different seepage models,and the seepage process was divided into nine flow stages. Then,the sensitivity analyses of parameters such as fractal index and nonlinear parameter were conducted,and combined with logging data,the new model was applied to mine field to explain the seepage parameters. The results show that the nonlinear parameters mainly affect the intensity of cross flow from matrix blocks to fracture system while the fractal index makes the dynamic pressure curves gradually upturned in the middle and late stages of the seepage, and the upwarping degree increases with the increase of the fractal index. The application of the fractal nonlinear model to the field shows that the model meets the actual production status of the reservoir and has a guiding significance for improving the accuracy of the well test interpretation.

Key words: fractured-vuggy, horizontal well, nonlinear, fractal theory, finite element

中图分类号:

TE344

姜瑞忠, 张春光, 郜益华, 耿艳宏, 余辉, 李昊远. 缝洞型碳酸盐岩油藏水平井分形非线性渗流[J]. 岩性油气藏, 2019, 31(6): 118–126.

JIANG Ruizhong, ZHANG Chunguang, GAO Yihua, GENG Yanhong, YU Hui, LI Haoyuan. Fractal nonlinear seepage model of horizontal wells in fractured-vuggy carbonate reservoirs[J]. Lithologic Reservoirs, 2019, 31(6): 118–126.

参考文献

[1] 葛家理,吴玉树.裂-隙油藏井底定压生产动态特征与不稳定试井分析方法.石油勘探与开发,1982(3):53-65. GE J L,WU Y S. The behavior of naturally fractured reservoirs and the technique for well test analysis at constant pressure conduction. Petroleum Expoloration and Development,1982(3):53-65.
[2] 易定红,王建功,石兰亭,等.柴达木盆地英西地区E₃²碳酸盐岩沉积演化特征.岩性油气藏,2019,31(2):46-55. YI D H,WANG J G,SHI L T,et al. Sedimentary evolution chara-cteristics of E 32 carbonate rocks in Yingxi area,Qaidam Basin. Lithologic Reservoirs,2019,31(2):46-55.
[3] 葛小波,李吉君,卢双舫,等.基于分形理论的致密砂岩储层微观孔隙结构表征:以冀中坳陷致密砂岩储层为例.岩性油气藏,2017,29(5):106-112. GE X B,LI J J,LU S F,et al. Fractal characteristics of tight sandstone reservoir using mercury intrusion capillary pressure:a case of tight sandstone reservoir in Jizhong Depression. Lithologic Reservoirs,2017,29(5):106-112.
[4] 刘化普,刘慧卿,王敬.缝洞型三重介质油藏分形渗流规律. 新疆石油地质,2017,38(2):204-208. LIU H P,LIU H Q,WANG J. Fractal percolation law in fractured-vuggy triple medium reservoirs. Xinjiang Petroleum Geology,2017,38(2):204-208.
[5] 李松泉,程林松,李秀生,等.特低渗透油藏非线性渗流模型. 石油勘探与开发,2008,35(5):606-612. LI S Q,CHENG L S,LI X S,et al. Non-linear seepage flow models of ultra-low permeability reservoirs. Petroleum Exploration and Development,2008,35(5):606-612.
[6] 姚军,戴卫华,王子胜.变井筒储存的三重介质油藏试井解释方法研究.石油大学学报(自然科学版),2004,28(1):46-51. YAO J,DAI W H,WANG Z S. Well test interpretation method for triple medium reservoir with variable wellbore storage. Journal of the University of Petroleum,China(Edition of Natural Science),2004,28(1):46-51.
[7] CAMACHO-VELAZQUEZ R,VASQUEZ-CRUZM,CASTREJONAIVAR R,et al. Pressure transient and decline curve behaviors in naturally fractured vuggy carbonate reservoirs. SPE 77689,2002.
[8] 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.西南石油学院学报,2006,28(4):32-35. LI C Y,LIU Q G,ZHANG R,et al. The research of well test of horizontal well in triple medium reservoir. Journal of Southwest Petroleum Institute,2006,28(4):32-35.
[9] 张冬丽,李江龙,吴玉树.缝洞型油藏三重介质数值试井模型影响因素. 西南石油大学学报(自然科学版),2010,32(6):113-120. ZHANG D L,LI J L,WU Y S. Influencing factors of the numerical well test model of the triple-continuum in fractured vuggy reservoir. Journal of Southwest Petroleum University (Science & Technology Edition),2010,32(6):113-120.
[10] GOMEZ S,FUENTES G,CAMACHO R,et al. Application of an evolutionary algorithm in well test characterization of naturally fractured vuggy reservoirs. SPE 103931,2006.
[11] LI Y,WANG Q,LI B Z,et al. Dynamic characterization of different reservoir types for a fractured-caved carbonate reservoir. SPE 188113,2017.
[12] CHANG J,YORTSOS Y C. Pressure transient analysis of fractal reservoirs. SPE Formation Evaluation,1990,5(1):31-38.
[13] ACUNAJ A,ERSHAGHⅡ,YORTSOS Y C. Practical application of fractal pressure-transient analysis of naturally fractured reservoirs. SPE Formation Evaluation,1995,10(3):173-179.
[14] RAZMINIA K,RAZMINIA A,TRUJILO J. Analysis of radial composite systems based on fractal theory and fractional calculus. Signal Processing,2015,107:378-388.
[15] 张本健,曹建,邓清源,等.基于树状分形网络的裂缝性气藏试井模型. 西南石油大学学报(自然科学版),2018,40(6):110-118. ZHANG B J,CAO J,DENG Q Y,et al. A model of wells testing in fractured gas reservoirs based on tree fractal network. Journal of Southwest Petroleum University(Science & Technology Edition),2018,40(6):110-118.
[16] 姜瑞忠,李林凯,徐建春,等.低渗透油藏非线性渗流新模型及试井分析.石油学报,2012,33(2):264-268. JIANG R Z,LI L K,XU J C,et al. A nonlinear mathematical model for low-permeability reservoirs and well-testing analysis. Acta Petrolei Sinica,2012,33(2):264-268.
[17] 徐绍良,岳湘安,侯吉瑞.去离子水在微圆管中流动特性的实验研究.科学通报,2007,52(1):120-124. XU S L,YUE X A,HOU J R. Experimental study on flow characteristics of deionized water in micro-circular tubes. Chinese Science Bulletin,2007,52(1):120-124.
[18] 张春光,姜瑞忠,乔欣,等.双重介质致密分形气藏水平井压力动态分析.东北石油大学学报,2018,42(6):95-103. ZHANG C G,JIANG R Z,QIAO X,et al. Transient pressure analysis of the horizontal well in dual-medium tight fractal gas reservoirs. Journal of Northeast Petroleum University,2018,42(6):95-103.
[19] 官庆.利用分形理论建立压力敏感地层双重介质分形油藏的模型研究.成都:西南石油大学,2007. GUAN Q. Research of pressure sensitive dual porosity fractal reservoir model built with fractal theory. Chengdu:Southwest Petroleum University,2007.
[20] 刘航宇,田中元,徐振永.基于分形特征的碳酸盐岩储层孔隙结构定量评价.岩性油气藏,2017,29(5):97-105. LIU H Y,TIAN Z Y,XU Z Y. Quantitative evaluation of carbonate reservoir pore structure based on fractal characteristics. Lithologic Reservoirs,2017,29(5):97-105.
[21] 程时清,屈雪峰.三重介质模型试井分析方法.油气井测试, 1997,6(1):5-11. CHENG S Q,QU X F. Well testing analysis method for the triple porosity reservoir. Well Testing,1997,6(1):5-11.
[22] 杨明. 低渗透油藏试井解释方法研究. 青岛:中国石油大学(华东),2013. YANG M. Study of well test interpretation method in low permeability oil reservoir. Qingdao:China University of petroleum (East China),2013.
[23] 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.新疆石油地质,2018,39(5):591-596. MENG F K,LEI Q,HE D B,et al. Well test interpretation model for deviated wells in tri-porosity-media and homogeneous composite carbonate gas reservoirs. Xinjiang Petroleum Geology, 2018,39(5):591-596.
[24] 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.岩性油气藏,2018,30(6):131-137. JIANG R Z,SHEN Z Y,CUI Y Z,et al. Dynamic characteristics analysis of inclined well pressure in dual medium low permeability reservoir. Lithologic Reservoirs,2018,30(6):131-137.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

缝洞型碳酸盐岩油藏水平井分形非线性渗流

Fractal nonlinear seepage model of horizontal wells in fractured-vuggy carbonate reservoirs

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10

[1]	闫建平, 来思俣, 郭伟, 石学文, 廖茂杰, 唐洪明, 胡钦红, 黄毅. 页岩气井地质工程套管变形类型及影响因素研究进展[J]. 岩性油气藏, 2024, 36(5): 1-14.
[2]	苏皓, 郭艳东, 曹立迎, 喻宸, 崔书岳, 卢婷, 张云, 李俊超. 顺北油田断控缝洞型凝析气藏衰竭式开采特征及保压开采对策[J]. 岩性油气藏, 2024, 36(5): 178-188.
[3]	程静, 闫建平, 宋东江, 廖茂杰, 郭伟, 丁明海, 罗光东, 刘延梅. 川南长宁地区奥陶系五峰组—志留系龙马溪组页岩气储层低电阻率响应特征及主控因素[J]. 岩性油气藏, 2024, 36(3): 31-39.
[4]	包汉勇, 刘超, 甘玉青, 薛萌, 刘世强, 曾联波, 马诗杰, 罗良. 四川盆地涪陵南地区奥陶系五峰组—志留系龙马溪组页岩古构造应力场及裂缝特征[J]. 岩性油气藏, 2024, 36(1): 14-22.
[5]	周浩, 梁利侠. 水平井探测半径计算方法[J]. 岩性油气藏, 2024, 36(1): 157-168.
[6]	杨兆臣, 卢迎波, 杨果, 黄纯, 弋大琳, 贾嵩, 吴永彬, 王桂庆. 中深层稠油水平井前置CO₂蓄能压裂技术[J]. 岩性油气藏, 2024, 36(1): 178-184.
[7]	钱真, 毛志强, 郑伟, 黄远军, 陈立峰, 曾慧勇, 李岗, 宋嫒. 井间单套缝洞型油藏橡胶颗粒调剖堵水实验[J]. 岩性油气藏, 2023, 35(4): 161-168.
[8]	卜旭强, 王来源, 朱莲花, 黄诚, 朱秀香. 塔里木盆地顺北油气田奥陶系断控缝洞型储层特征及成藏模式[J]. 岩性油气藏, 2023, 35(3): 152-160.
[9]	李丰丰, 倪小威, 徐思慧, 魏新路, 刘迪仁. 斜井各向异性地层随钻侧向测井响应规律及快速校正方法[J]. 岩性油气藏, 2023, 35(3): 161-168.
[10]	曾旭, 卞从胜, 沈瑞, 周可佳, 刘伟, 周素彦, 汪晓鸾. 渤海湾盆地歧口凹陷古近系沙三段页岩油储层非线性渗流特征[J]. 岩性油气藏, 2023, 35(3): 40-50.
[11]	宋兴国, 陈石, 杨明慧, 谢舟, 康鹏飞, 李婷, 陈九洲, 彭梓俊. 塔里木盆地富满油田F_Ⅰ16断裂发育特征及其对油气分布的影响[J]. 岩性油气藏, 2023, 35(3): 99-109.
[12]	倪新锋, 沈安江, 乔占峰, 郑剑锋, 郑兴平, 杨钊. 塔里木盆地奥陶系缝洞型碳酸盐岩岩溶储层成因及勘探启示[J]. 岩性油气藏, 2023, 35(2): 144-158.
[13]	何文渊, 云建兵, 钟建华. 川东北二叠系长兴组碳酸盐岩云化成储机制[J]. 岩性油气藏, 2022, 34(5): 1-25.
[14]	蔡晖, 屈丹, 陈民锋. 组合井网储量动用规律及水平井加密合理技术策略——以渤海HD油田为例[J]. 岩性油气藏, 2021, 33(4): 147-155.
[15]	杨美华, 钟海全, 李颖川. 缝洞型碳酸盐岩油藏新型油藏生产指示曲线[J]. 岩性油气藏, 2021, 33(2): 163-170.