Transport in Porous Media

, Volume 130, Issue 3, pp 889–902 | Cite as

Effect of Characteristic Time on Scaling of Breakthrough Time Distribution for Two-Phase Displacement in Percolation Porous Media

  • Sara Shokrollahzadeh Behbahani
  • Mohsen MasihiEmail author
  • Mohammad Hossein Ghazanfari
  • Peter R. King


Determining the time of breakthrough of injected water is important when assessing waterflood in an oil reservoir. Breakthrough time distribution for a passive tracer (for example water) in percolation porous media (near the percolation threshold) gives insights into the dynamic behavior of flow in geometrically complex systems. However, the application of such distribution to realistic two-phase displacements can be done based on scaling of all parameters. Here, we propose two new approaches for scaling of breakthrough time (characteristic times) in two-dimensional flow through percolation porous media. The first is based on the flow geometry, and the second uses the flow parameters of a representative homogenous model. We have tested the effectiveness of these two approaches using a large number of dynamic simulations. The results show significant improved distribution curves for the breakthrough (transit) time between an injector and a producer located in a heterogeneous porous medium in comparison with the previous scaling methods.


Percolation theory Dynamic reservoir simulation Waterflood Breakthrough time 



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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Sara Shokrollahzadeh Behbahani
    • 1
  • Mohsen Masihi
    • 1
    Email author
  • Mohammad Hossein Ghazanfari
    • 1
  • Peter R. King
    • 1
    • 2
  1. 1.Department of Chemical and Petroleum EngineeringSharif University of TechnologyTehranIran
  2. 2.Department of Earth Science and EngineeringImperial College LondonLondonUK

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