Skip to main content
SpringerLink
Log in

Transient pressure of percolation through one dimension porous media with threshold pressure gradient

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

This paper studies the transient pressure of percolation during one production and one shutting in one dimension porous media with threshold pressure gradient, the differential equations are derived and solved with numerical computation. Basing on numerical solution, it is analyzed that: 1. the relation between the steady pressure at well bore (or at endpoint) and threshold pressure gradient, shut-in time, and the corresponding formulae are derived; 2. the regulation of transient pressure peak. The result is very useful and will help experiments and applications in the development of low permeability reservoirs with threshold pressure gradient.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

B :

formation volume factor

C D :

coefficient of dimensionless well-bore storage

k :

standard permeability

p :

pressure

r :

radical coordinate

s :

well-bore spin factor

ϕ:

porosity

C 1 :

composite compressibility

h :

height of reservoir

L :

length of cylindrical core

Q :

production

t :

time

x :

Cartesian coordinate

μ :

viscosity

ψ:

threshold pressure gradient

t :

shut-in time

D :

dimensionless units

i :

initial state

c :

constant units

w :

well bore (or endpoint)

f :

moving boundary

m :

steady state

References

  1. Gelbunuv A T. Oil development of abnormal reservoirs [M]. Beijing: Publication House of Petroleum Industry, 1987, 181 (in Chinese)

    Google Scholar 

  2. Feng Wenguang. Current circumstance and development of researching in no-Darcy low speed percolation [J].Journal of Petroleum Exploration and Development, 1986,13(4): 76–80 (in Chinese)

    Google Scholar 

  3. Yan Qinglai, He Qiuxuan. Experiments of percolation characters of one liquid in low permeability formation [J].Journal of Xian Petroleum Institute, 1990,5 (2):1–6 (in Chinese)

    Google Scholar 

  4. Li Fenhua, Liu Ciqun: Pressure transient analysis for unsteady porous flow with start-up pressure derivative [J].Well Testing, 1997,6(1):1–4 (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Porous Flow and Fluid Mechanics, Acadimia Sinica, 065007, Langfang, P. R. China

    Song Fuquan, Liu Ciqun & Li Fanhua

Authors
  1. Song Fuquan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liu Ciqun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Li Fanhua
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

(Note: The upper units are used by International System of Units)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fuquan, S., Ciqun, L. & Fanhua, L. Transient pressure of percolation through one dimension porous media with threshold pressure gradient. Appl Math Mech 20, 27–35 (1999). https://doi.org/10.1007/BF02459270

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02459270

Key words

Search

Navigation