A Flow Model Reflecting Dynamic Kick-off Pressure Gradient for Low#br#
Permeability Reservoirs

doi:10.11885/j.issn.1674-5086.2015.05.06.05

Abstract

Abstract:

Based on the fluid boundary layer theory，this paper presents a new flow model that can be used to describe the
non-linear seepage feature in low permeability reservoir to obtain continuous function of the dynamic kick-off pressure gradient.
And the nonlinear seepage flow model of dynamic kick-off pressure gradient is considered to establish the mathematical model
of one-dimensional single-phase fluid flow，and the discrete equations are linearized with fully implicit method. Besides，the
distribution feature of formation pressure and influence of nonlinear seepage flow coefficient on moving boundary expansion
are studied comparatively from linear seepage model，quasi linear formation pressure and nonlinear seepage model reflecting
dynamic kick-off pressure gradient. Numerical results indicate that with the influence of the dynamic kick-off pressure gradient，
the formation pressure of near well region declines more greatly，while formation pressure in the far zone is higher，and
formation pressure decline range is narrower. In addition，when nonlinear coefficient numerical value is smaller，the degree of
fluid flow nonlinearity is stronger，and expansion velocity of dynamic boundary is lower.

Key words: low permeability reservoir, boundary layer, nonlinear seepage, dynamic change of starting pressure gradient,
moving boundary

CLC Number:

TE312

Su Haibo*. A Flow Model Reflecting Dynamic Kick-off Pressure Gradient for Low#br# Permeability Reservoirs[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2015.05.06.05.

0
/ / Recommend

Add to citation manager EndNote|Ris|BibTeX

URL: http://journal15.magtechjournal.com/Jwk_xnzk/EN/10.11885/j.issn.1674-5086.2015.05.06.05

http://journal15.magtechjournal.com/Jwk_xnzk/EN/Y2015/V37/I6/105

References

[1] Miller R J，Low P F. Threshold gradient for water flow in
clay systems[J]. Soil Science Society of America Proceedings，
1963，27（6）：606 609.
[2] 冯国庆，刘启国，石广志，等. 考虑启动压力梯度的低
渗透气藏不稳定渗流模型[J]. 石油勘探与开发，2008，
35（4）：457 461.
Feng Guoqing，Liu Qiguo，Shi Guangzhi，et al. An unsteady
seepage flow model considering kickoff pressure
gradient for low-permeability gas reservoirs[J]. Petroleum
Exploration and Development，2008，35（4）：457 461.
[3] 李松泉，程林松，李秀生，等. 特低渗透油藏非线性渗
流模型[J]. 石油勘探与开发，2008，35（5）：606 612.
Li Songquan，Cheng Linsong，Li Xiusheng，et al. Nonlinear
seepage flow models of ultra-low permeability
reservoirs[J].Petroleum Exploration and Development，
2008，35（5）：606 612.
[4] 苏海波. 基于边界层理论的低渗透多孔介质非稳态渗
流压力变化特征[J]. 低渗透油气田，2015（1）：87 91.
Su Haibo. Characteristics of unsteady-percolation pressure
variation in low permeability porous media based on
the theory of boundary layer[J]. Low permeability Oil &
Gas Fields，2015（1）：87 91.
[5] 邓英尔，阎庆来，马宝岐. 界面分子力作用与渗透率
的关系及其对渗流的影响[J]. 石油勘探与开发，1998，
25（2）：46 49．
Deng Ying′er，Yan Qinglai，Ma Baoqi. Relationship between
interfacial molecular interaction and permeability
and its influence on fluid flow[J]. Petroleum Exploration
and Development，1998，25（2）：46 49．
[6] 黄延章. 低渗透油层渗流机理[M]. 北京：石油工业出
版社，1998.
[7] 李中锋，何顺利. 低渗透储层非达西渗流机理探讨[J].
特种油气藏，2005，12（2）：35 38.
Li Zhongfeng，He Shunli. Non-darcy percolation mechanism
in low permeability reservoir[J]. Special Oil and Gas
Reservoir，2005，12（2）：35 38.
[8] 李兆敏，蔡国琰. 非牛顿流体力学[M]. 东营：石油大学
出版社，1998.
[9] 徐绍良，岳湘安. 低速非线性流动特性的实验研究[J].
中国石油大学学报：自然科学版，2007，31（5）：60 63.
Xu Shaoliang，Yue Xiangan. Experimental research on
nonlinear flow characteristics at low velocity[J]. Journal
of China University of Petroleum，2007，31（5）：60 63.
[10] 徐绍良，岳湘安，侯吉瑞，等. 低边界层流体对低渗透
油藏渗流特性的影响[J]. 西安石油大学学报：自然科
学版，2007，22（2）：26 28．
Xu Shaoliang，Yue Xiang′an，Hou Jirui，et al. Influence of
boundary-layer fluid on the seepage characteristic of lowpermeability
reservoir[J]. Journal of Xi′an Shiyou University：
Natural Science Edition，2007，22（2）：26 28.
[11] Bird R B，Stewart W E，Lightfoot E N. Transport phenomena[
J]. Journal of Applied Mechanics，1961，28（2）：
1274 1275.
[12] Wu Y S，Pruess K，Witherspoon P A. Flow and displacement
of bingham non-newtonian fluids in porous
media[C]. SPE 20051，1992.
[13] 秦积舜，李爱芬. 油层物理学[M]. 东营. 中国石油大学
出版社，2006.
[14] 姜瑞忠，杨仁锋，马勇新，等. 低渗透油藏非线性渗流
理论及数值模拟方法[J]. 水动力学研究与进展：A 辑，
2011，26（4）：444 452.
Jiang Ruizhong，Yang Renfeng，Ma Yongxin，et al. Nonlinear
percolation theory and numerical simulation in low
permeability reservoirs[J]. Chinese Journal of Hydrodynamics，
2011，26（4）：444 452.
[15] 时宇，杨正明，黄延章. 低渗透储层非线性渗流模型研
究[J]. 石油学报，2009，30（5）：731 734.
Shi Yu，Yang Zhengming，Huang Yanzhang. Study on
non-linear seepage flow model for low-permeability reservoir[
J]. Acta Petrolei Sinica，2009，30（5）：731 734.
[16] 孔祥言. 高等渗流力学[M]. 合肥：中国科学技术大学
出版社，1999.
[17] 袁恩熙. 工程流体力学[M]. 北京：石油工业出版社，
2010.
[18] 万海艳. 一种微管中启动压力梯度的测量方法[J]. 力学
与实践，2013，35（3）：62 65，45.
Wan Haiyan. A global-oriented method to measure the
threshold pressure gradient in micro-channels[J]. Mechanics
in Engineering，2013，35（6）：62 65，45.

A Flow Model Reflecting Dynamic Kick-off Pressure Gradient for Low#br# Permeability Reservoirs

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	BAI Hui, TIAN Min, FENG Min, LIU Pengcheng, WANG Haitao. Productivity Model and its Influencing Factors for Multistage Fractured Horizontal Wells in Low Permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2019, 41(3): 113-120.
[2]	SUN Zhigang, MA Bingjie, LI Fen. Mechanism and Characteristics of Nonlinear Flow in Porous Media of Low Permeability Reservoir [J]. 西南石油大学学报(自然科学版), 2019, 41(2): 109-117.
[3]	ZHAO Xisen, SHI Lihua, WANG Weibo, BAI Yuan, TIAN Feng. CO₂ Channeling Sealing In Ultra-low-permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2017, 39(6): 131-139.
[4]	LIU Jianjun, WU Mingyang, SONG Rui, HUANG Liuke, DAI Xiaojun. Study on Simulation Method of Multi-scale Fractures in Low Permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2017, 39(4): 90-103.
[5]	LIU Yonghui, ZHANG Nan, PAN Ruosheng, ZHANG Deping, WANG Wubing. Simulation and Optimization of Downhole Gas-Liquid Separator at Low Liquid Rate and High GLR Wells From CO₂ Flooding Reservoir [J]. 西南石油大学学报(自然科学版), 2016, 38(6): 131-137.
[6]	ZHANG Liehui1*, ZHANG Ruihan1, JIANG Hexu2, KONG Ling2, SHE Juan2. Theoretical Analysis of Low Permeability Composite Reservoir Using#br# Finite Element Method [J]. 西南石油大学学报(自然科学版), 2016, 38(4): 1-8.
[7]	TAO Zhen*, TIAN Changbing, XIONG Chunming, ZHAO Ruidong. Research on Well Patterns and Fracture Models for Fractured#br# Horizontal Well in Ultra-low Permeability Reservoir [J]. 西南石油大学学报(自然科学版), 2016, 38(4): 101-109.
[8]	WANG Wei1*, YANG Hui2, HUANG Chunxia1, JIANG Shaojing1, YUE Xiangan3. Researches on Improving Sweep Efficiency After Water Breakthrough in#br# Ultra-low Permeability Heterogeneous Reservoir [J]. 西南石油大学学报(自然科学版), 2016, 38(3): 107-113.
[9]	Su Yuliang1, Ren Long1*, Zhao Guangyuan2, Zhan Shiyuan1, Meng Fankun1. Study on Reasonable Spacing Between Injection and Production Wells#br# Considering Fracturing in Low Permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2015, 37(6): 72-78.
[10]	Xiao Pufu1*, Yang Zhengming2, Wang Xuewu2, Dai Xingxing3. A Laboratory Study on the Micro Mechanism of Oil Displacement with CO2 Flooding [J]. 西南石油大学学报(自然科学版), 2015, 37(4): 161-165.
[11]	Zhang Xianguo1*, Zhang Tao2, Lin Chengyan1, Yu Jingfeng3. Lithology Recognition with Well Logs in Complex Lithologic Low Permeability Reservoirs in Ta′nan Depression [J]. 西南石油大学学报(自然科学版), 2015, 37(1): 85-90.
[12]	Hu Shuyong1, Li Liang1, Wu Rui2, Wang Yujie3, Li Lei1. Researches on Building Effective Displacement Pressure System of Advanced Water Injection in B239 Well-Block Reservoir [J]. 西南石油大学学报(自然科学版), 2014, 36(6): 123-127.
[13]	Wang Huan, Liao Xinwei, Zhao Xiaoliang. Research on CO2 Flooding Parameters Optimization of Extra-low Permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2014, 36(6): 95-104.
[14]	Yang Daqing1, Shang Qinghua2, Jiang Shaojing2, Huang Chunxia2, Tang Ruijia2. A Study About Influence Law of Permeability on Gas Channeling of CO2 Flooding Under Low Permeability Reservoirs [J]. 西南石油大学学报(自然科学版), 2014, 36(4): 137-141.
[15]	Sun Laixi1，2, Zhang Zonghui3, Wang Shili4, Luo Gang4, Deng Qingyang1. A New Method of Analysis of Low Permeability Reservoir Interwell Reserves Producing Status [J]. 西南石油大学学报(自然科学版), 2014, 36(2): 99-104.