Skip to main content

The Nonlinear Flow Analytical Model and Its Field Use

  • Conference paper
  • First Online:
Proceedings of the International Field Exploration and Development Conference 2018 (IFEDC 2018)

Abstract

The nonlinear flow exists in ultra-low-permeability reservoir. It is important to establish an analytical model, which can be used in revealing nonlinear flow rule and improving producing status in field. According to the potential superposition principle, the mathematical model to predict the pressure gradient is established, and then, the nonlinear flow model is established by combining the pressure gradient boundary getting from the indoor nonlinear flow, and at last nonlinear flow area is determined in plane by increasing virtual production wells. It shows three features in the application of T14 block in Hailar oilfield. Firstly, the high value zone of cross-well pressure gradient is mainly concentrated in the area of 20–50 m near the oil–water well. Secondly, the pressure gradient is obviously affected by well spacing, and its lowest value is inclined to one side of the oil well. At last, the nonlinear flow zone is the main zone in ultra-low-permeability reservoir, and the area percentage is 60%, which is the main cause of the quickly production decline. The nonlinear flow area can be determined using the dynamic data. It can overcome two problems including parameter selection and extension in oilfield.

Copyright 2018, Shaanxi Petroleum Society.

This paper was prepared for presentation at the 2018 International Field Exploration & Development Conference in Xi’an, China, 18–20 September 2018.

This paper was selected for presentation by the IFEDC&IPPTC Committee following review of information contained in an abstract submitted by the author(s). Contents of the paper, as presented, have not been reviewed by the IFEDC&IPPTC Committee and are subject to correction by the author(s). The material does not necessarily reflect any position of the IFEDC&IPPTC Committee, its members. Papers presented at the Conference are subject to publication review by Professional Committee of Petroleum Engineering of Shaanxi Petroleum Society. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of Shaanxi Petroleum Society is prohibited. Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. The abstract must contain conspicuous acknowledgment of IFEDC&IPPTC. Contact email: paper@ifedc.org.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Yan Q, He Q, Wei L, et al. A laboratory study on percolation characteristics of single phase flow in low-permeability reservoirs. J Xi'Petroleum Institute. 1990;5(2):1–6.

    Google Scholar 

  2. Huang Y. Nonlinear peecolation feature in low permeability reservoir. Special Oil Gas Reserv. 1997;4(1):9–14.

    MathSciNet  Google Scholar 

  3. Chengyuan L, Jian W, Zhigang S. An experimental study on pressure gradient of fluids flow in low permeability sandstone porous media. Petrol Explor Develop. 2002;29(2):86–9.

    Google Scholar 

  4. Wang D, Shi D, Li X, et al. The main challenges and the reasonable well spacing for the development of low-permeability sandstone reservoirs. Petrol Explor Develop. 2003;30(1):87–9.

    Google Scholar 

  5. Shi D. Flow state distribution of areal radial flow in low permeability sandstone reservoir. Petrol Explor Dev. 2006;33(4):491–4.

    Google Scholar 

  6. Yang R, Jiang R, Liu S, et al. Numerical simulation of nonlinear seepage in ultra-low permeability reservoirs. Acta Petrolei Sinica. 2011;32(2):299–306.

    Google Scholar 

  7. Zhengming Y, Rongze Y, Zhixin S. Numerical simulation of the nonlinear flow in ultra-low permeability reservoirs. Petrol Explor Dev. 2010;37(1):94–8.

    Google Scholar 

  8. Renfeng Y, Ruizhong J, Shihua L. Demonstration of essentiality of considering nonlinear flow in low permeability reservoir. Fault-Block Oil Gas Field. 2011;18(4):493–7.

    Google Scholar 

  9. Renfeng Y, Ruizhong J, Junshu S, et al. Study on nonlinear flow mechanism in low permeability porous medium. Peroleum Geol Recovery Effi. 2011;18(2):90–3.

    Google Scholar 

  10. Xu, J., Jiang, R., Xie, L., et al.: Non-darcy flow numerical simulation for low-permeability reservoirs, 2012; SPE154890.

    Google Scholar 

  11. Yu R, Bian Y, Zhou S, et al. Nonlinear flow numerical simulation of low-permeability reservoir. J Central South Univ Technol. 2012;19(7):1980–7.

    Article  Google Scholar 

  12. Yu S, Zhengming Y, Yanzhang H. Study on nonlinear seepage flow model for low-permeability reservoir. Acta Petrolei Sinica. 2009;30(5):731–4.

    Google Scholar 

  13. Deng Y, Liu C. Mathemat ical model of nonlinear flow law in low permeability porous media and its application. Acta Petrolei Sinica. 2001;22(4):72–7.

    Google Scholar 

  14. Jiang R, Li L, Xu J. A nonlinear mathematical model for low-permeability reservoirs and well-testing analysis. Acta Petrolei Sinica. 2012;33(2):264–8.

    Google Scholar 

  15. Lijuan S, Fan W, Weihua Z. The study and application of reservoir start-up pressure. Fault Block Oil Gas Field. 1998;5(5):31.

    Google Scholar 

  16. Xianke H, Cheng C. The Calculating Method for Effectively Producing Injection-Production Well Spacing of Low Permeability Reservoirs. Xing Jiang petroleum geology. 2006;27(2):216–8.

    Google Scholar 

  17. Xianke H, Cheng C. Establish effective displacement pressure system in low permeability oilfield. Special Oil Gas Reservoirs. 2006;13(2):56–7.

    Google Scholar 

  18. Jianguo Z, Guanglun L, Yanyu Z.: The flow law at low speed, In: Dongying SD, editor. ‘Fluid mechanics in hydrocarbon reservoir’. 1st ed. The press of China University of Petroleum, 1998. pp 12–3.

    Google Scholar 

Download references

Acknowledgements

The authors thank Li Bin at Hailar oilfield for providing the data of T14 block.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongbing Jia .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jia, H. et al. (2020). The Nonlinear Flow Analytical Model and Its Field Use. In: Lin, J. (eds) Proceedings of the International Field Exploration and Development Conference 2018. IFEDC 2018. Springer Series in Geomechanics and Geoengineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-7127-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-7127-1_1

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-7126-4

  • Online ISBN: 978-981-13-7127-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics