考虑复杂应力分布的数值缝宽计算模型及其应用

doi:10.7623/syxb201607010

石油学报 ›› 2016, Vol. 37 ›› Issue (7): 914-920.DOI: 10.7623/syxb201607010

考虑复杂应力分布的数值缝宽计算模型及其应用

赵金洲¹, 彭瑀¹, 林啸², 刘作磊¹, 许文俊¹

1. 西南石油大学油气藏地质及开发工程国家重点实验室四川成都 610500;
2. 中国石油集团川庆钻探工程有限公司四川成都 610051

收稿日期:2015-12-15 修回日期:2016-05-05 出版日期:2016-07-25 发布日期:2016-07-28
通讯作者: 彭瑀,男,1988年12月生,2011年获西南石油大学石油工程专业学士学位,现为西南石油大学石油与天然气工程学院博士研究生,主要从事油气田增产改造理论与技术方面的研究。Email:pengyu_frac@foxmail.com
作者简介:赵金洲,男,1962年10月生,1982年获西南石油学院采油工程专业学士学位,1985年获西南石油学院油气田开发工程专业硕士学位,现为西南石油大学校长、教授、博士生导师,主要从事油气田开采和增产新技术新理论的研究。Email:zhaojz@swpu.edu.cn
基金资助:
国家自然科学基金重大项目（No.51490653）和国家重点基础研究发展计划（973）项目（2013CB228004）资助。

Numerical fracture width model considering complex stress distribution and its application

Zhao Jinzhou¹, Peng Yu¹, Lin Xiao², Liu Zuolei¹, Xu Wenjun¹

1. State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Sichuan Chengdu 610500, China;
2. CNPC Chuanqing Drilling Engineering Company Limited, Sichuan Chengdu 610051, China

Received:2015-12-15 Revised:2016-05-05 Online:2016-07-25 Published:2016-07-28

摘要/Abstract

摘要：

缝宽的预测精度，对于裂缝延伸模拟和压后产能评价具有显著影响。但目前的缝宽计算方法都对裂缝壁面的应力分布情况进行了简化，不能真正有效地利用现场实测数据，对动态缝宽的预测也不一定准确。基于经典模型的缺陷，建立了可以考虑任意复杂应力分布的数值缝宽计算模型，该模型首先将原始的复杂分布应力离散成多个矩形均匀分布应力，再通过叠加原理得到缝宽表达式。经解析解对比验证，数值缝宽模型的计算精度随着离散单元个数的增加而提高，具有很高的实用价值。地应力扰动分析显示，随着地应力的波动幅度增加、频率降低，经典简化模型的计算结果与实际缝宽的偏差逐渐增大；当地应力波动的频率很高时，缝宽会出现明显的震荡，极大地增加缝内流动摩阻。将该模型应用于现场实例中，模拟输出的缝宽会在高应力夹层处出现明显的颈缩现象，在进行该类储层的施工时，应该通过加大前置液用量或者增加排量等方式来提高净压力，以保证支撑剂的铺置效率。裂缝三维延伸的模拟结果显示，当地应力存在严重波动时，需要考虑裂缝壁面粗糙度对缝高的抑制作用。

关键词: 水力压裂, 裂缝宽度, 复杂应力分布, 数学模型, 数值模拟

Abstract:

Fracture width simulation accuracy has a significant influence on fracture propagation simulation and post-fracturing productivity prediction. However, stress distribution on fracture faces is simplified in the current calculation methods of fracture width, so it is unable to effectively use the field measured data, which may lead to errors in dynamic fracture width prediction. Based on the above defect of classic models, a numerical fracture width calculation model considering arbitrary complex stress distribution was established, in which original complex stress is dispersed into a number of rectangular uniform stresses and then the final fracture width expression is obtained through superimposition principle. After the contrast validation of analytical solution, the simulation accuracy of numerical fracture width model is improved with discrete unit number rising, indicating a very high practical value. The geo-stress disturbance analysis shows that with the increase in amplitude or decrease in frequency of geo-stress fluctuating, the differences between the calculation results of classic simplified model and actual fracture width will be enlarged gradually; in case of a very high fluctuating frequency of geo-stress, fracture width is volatile significantly, thus greatly increasing the intra-fracture flow resistance. When this model is applied to field case, an obvious necking phenomenon will occur to the fracture width obtained through simulated output in high-stress inter-layers. During the construction in such reservoirs, net pressure should be enhanced through increasing prepad fluid consumption or displacement, so as to ensure the laying efficiency of proppant. The simulation results of 3D fracture propagation reveal that in case of severe geo-stress fluctuations, it is required to consider the inhibition of fracture face roughness on fracture height.

Key words: hydraulic fracturing, fracture width, complex stress distribution, mathematic model, numerical simulation

中图分类号:

TE357.1

赵金洲, 彭瑀, 林啸, 刘作磊, 许文俊. 考虑复杂应力分布的数值缝宽计算模型及其应用[J]. 石油学报, 2016, 37(7): 914-920.

Zhao Jinzhou, Peng Yu, Lin Xiao, Liu Zuolei, Xu Wenjun. Numerical fracture width model considering complex stress distribution and its application[J]. Acta Petrolei Sinica, 2016, 37(7): 914-920.

参考文献

[1] Valkó P,Economides M J.Hydraulic fracture mechanics[M].New York:Wiley,1995.
[2] 郭建春,路千里,曾凡辉.楔形裂缝压裂井产量预测模型[J].石油学报,2013,34(2):346-352.
Guo Jianchun,Lu Qianli,Zeng Fanhui.A productivity prediction model for a fractured well with wedge-shaped fractures[J].Acta Petrolei Sinica,2013,34(2):346-352.
[3] 郭建春,刘恒,曾凡辉.裂缝变缝宽形态对压裂井长期产能的影响[J].中国石油大学学报:自然科学版,2015,39(1):111-115.
Guo Jianchun,Liu Heng,Zeng Fanhui.Influence of varying fracture width on fractured well's long-term productivity[J].Journal of China University of Petroleum:Edition of Natural Scionces,2015,39(1):111-115.
[4] Perkins T K,Kern L R.Widths of hydraulic fractures[J].Journal of Petroleum Technology,1961,13(9):937-949.
[5] Palmer I D,Carroll H B.Three-dimensional hydraulic fracture propagation in the presence of stress variations[J].Society of Petroleum Engineers Journal,1983,23(6):870-878.
[6] Palmer I D,Carroll Jr.H B.Numerical solution for height and elongated hydraulic fractures[R].SPE 11627,1983.
[7] England A H,Green A E.Some two-dimensional punch and crack problems in classical elasticity[J].Mathematical Proceedings of the Cambridge Philosophical Society,1963,59(2):489-500.
[8] Morales R H,Abou-Sayed A S.Microcomputer analysis of hydraulic fracture behavior with a pseudo-three-dimensional simulator[J].SPE Production Engineering,1989,4(1):69-74.
[9] Tata H,Paris P C,Irwin G R.The stress analysis of cracks handbook[M].New York:ASME Press,1985.
[10] 张平.水力压裂三维优化设计方法研究及软件研制[D].成都:西南石油大学,1997.
Zhang Ping.Method logical study and software development of three-dimensional optimized design for hydraulic fracture[D].Chengdu:Southwest Petroleum University,1997.
[11] Todd B L,Choudhary Y K,Bhamidipati S.Fracture-width estimation for an arbitrary pressure distribution in porous media[R].SPE 143147,2011.
[12] Todd B L,McMechan D E.Methods of fluid-controlled geometry stimulation:US,8082992 B2[P].2011-12-27.
[13] Smith M B,Rosenberg R J,Bowen J F.Fracture width-design vs.measurement[R].SPE 10965,1982.
[14] Holditch S A,Holcomb D L,Rahim Z.Using tracers to evaluate propped fracture width[R].SPE 26922,1993.
[15] Medlin W L,Masse L.Laboratory experiments in fracture propagation[J].Society of Petroleum Engineers Journal,1984,24(3):256-268.
[16] Groenenboom J,van Dam D B,de Pater C J.Time-lapse ultrasonic measurements of laboratory hydraulic-fracture growth:tip behavior and width profile[R].SPE 68882,2001.
[17] 彭瑀.酸压控缝高新工艺及模型研究[D].成都:西南石油大学,2014.
Peng Yu.A new technology and model of acid fracturing fracture height control[D].Chengdu:Southwest Petroleum University,2014.
[18] Zhao Jinzhou,Peng Yu,Li Yongming,et al.Analytical model for simulating and analyzing the influence of interfacial slip on fracture height propagation in shale gas layers[J].Environmental Earth Sciences,2015,73(10):5867-5875.
[19] 赵金洲,彭瑀,李勇明,等.高排量反常砂堵现象及对策分析[J].天然气工业,2013,33(4):56-60.
Zhao Jinzhou,Peng Yu,Li Yongming,et al.Abnormal sand plug phenomenon at a high injection rate and relevant solutions[J].Natural Gas Industry,2013,33(4):56-60.
[20] 李勇明.三维酸压数值模拟及优化设计[D].成都:西南石油大学,2000.
Li Yongming.3D acid fracturing numerical simulation and design optimization[D].Chengdu:Southwest Petroleum University,2000.
[21] 李勇明,李莲明,郭建春,等.二次加砂压裂理论模型及应用[J].新疆石油地质,2010,31(2):190-193.
Li Yongming,Li Lianming,Guo Jianchun,et al.Theoretical model and application of secondary sand fracturing[J].Xinjiang Petroleum Geology,2010,31(2):190-193.
[22] Gidley J L.Recent advances in hydraulic fracturing[M].Richardson,Texas:Society of Petroleum Engineers,1989.
[23] 宋连腾,刘忠华,李潮流,等.基于横向各向同性模型的致密砂岩地应力测井评价方法[J].石油学报,2015,36(6):707-714.
Song Lianteng,Liu Zhonghua,Li Chaoliu,et al.Geostress logging evaluation method of tight sandstone based on transversely isotropic model[J].Acta Petrolei Sinica,2015,36(6):707-714.
[24] 赵建生.断裂力学及断裂物理[M].武汉:华中科技大学出版社,2003.
Zhao Jiansheng.Fracture mechanics and fracture physics[M].Wuhan:Huazhong University of Science & Technology Press,2003.
[25] Warpinski N R,Teufel L W.Influence of geologic discontinuities on hydraulic fracture propagation[J].Journal of Petroleum Technology,1987,39(2):209-220.
[26] 时贤,程远方,蒋恕,等.页岩储层裂缝网络延伸模型及其应用[J].石油学报,2014,35(6):1130-1137.
Shi Xian,Cheng Yuanfang,Jiang Shu,et al.Simulation of complex fracture network propagation and its application for shale gas reservoir[J].Acta Petrolei Sinica,2014,35(6):1130-1137.
[27] 杜东兴.可压缩性及粗糙度对微细管内流动及换热特性的影响[D].北京:清华大学,2000.
Du Dongxing.Effect of compressibility and roughness on flow and heat transfer characteristics in micro tubes[D].Beijing:Tsinghua University,2000.

考虑复杂应力分布的数值缝宽计算模型及其应用

Numerical fracture width model considering complex stress distribution and its application

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	许林, 刘书杰, 许明标, 冯桓榰, 邢希金, 邓佳佳. 压差激活密封剂的微缺陷自适应修复行为及机理[J]. 石油学报, 2021, 42(5): 686-694.
[2]	邹玮, 余一欣, 刘金水, 蒋一鸣, 唐贤君, 陈石, 余浪. 东海盆地西湖凹陷中央反转构造带发育主控因素及宁波背斜形成过程[J]. 石油学报, 2021, 42(2): 176-185.
[3]	何骁, 吴建发, 雍锐, 赵圣贤, 周小金, 张洞君, 张德良, 钟成旭. 四川盆地长宁—威远区块海相页岩气田成藏条件及勘探开发关键技术[J]. 石油学报, 2021, 42(2): 259-272.
[4]	祝效华, 罗云旭, 刘伟吉, 高锐, 贾玉丹, 刘呈君. 等离子体电脉冲钻井破岩机理的电击穿实验与数值模拟方法[J]. 石油学报, 2020, 41(9): 1146-1162.
[5]	李文婧, 姜源, 单保东, 禹晓珊, 王超. 盐穴储气库注采运行时温效应对腔体稳定性的影响[J]. 石油学报, 2020, 41(6): 762-776.
[6]	窦晓峰, 宁伏龙, 李彦龙, 刘昌岭, 孙嘉鑫, 李杨, 李晓东, 赵颖杰, 张凌, 刘乐乐. 基于连续-离散介质耦合的水合物储层出砂数值模拟[J]. 石油学报, 2020, 41(5): 629-642.
[7]	蒲春生, 郑恒, 杨兆平, 高振东. 水平井分段体积压裂复杂裂缝形成机制研究现状与发展趋势[J]. 石油学报, 2020, 41(12): 1734-1743.
[8]	计秉玉. 对油气藏工程研究方法发展趋势的几点认识[J]. 石油学报, 2020, 41(12): 1774-1778.
[9]	郭建春, 任冀川, 王世彬, 苟波, 赵俊生, 伍林. 裂缝性致密碳酸盐岩储层酸压多场耦合数值模拟与应用[J]. 石油学报, 2020, 41(10): 1219-1228.
[10]	韩强, 屈展, 叶正寅. 基于多尺度均匀化理论的页岩强度表征[J]. 石油学报, 2019, 40(7): 858-865.
[11]	苏皓, 雷征东, 李俊超, 龚斌, 赵文琪, 鞠斌山, 张荻萩, 秦鹤. 储集层多尺度裂缝高效数值模拟模型[J]. 石油学报, 2019, 40(5): 587-593,634.
[12]	王天源, 修建龙, 黄立信, 崔庆锋, 马原栋, 苗钧逸, 俞理. 考虑油藏环境因素和微生物因子的微生物采油数学模型[J]. 石油学报, 2019, 40(4): 448-456.
[13]	解宁, 李文婧. 地下盐穴储气库盐岩热损伤机理[J]. 石油学报, 2019, 40(3): 357-369,382.
[14]	王旱祥, 吕孝孝, 刘延鑫, 陈升山, 兰文剑. 碳纤维抽油杆采油系统柱塞超冲程产生机理[J]. 石油学报, 2019, 40(12): 1531-1541.
[15]	吴俊晨, 范宜仁, 曹军涛, 范卓颖, 王小龙, 吴飞. 基于大尺寸地层模型的砂岩储层油基钻井液侵入模拟[J]. 石油学报, 2019, 40(11): 1407-1414.