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Postbreakthrough behavior in flow through porous media.

Eduardo López1, Sergey V Buldyrev, Nikolay V Dokholyan

  • 1Center for Polymer Studies, Department of Physics, Boston University, Boston, MA 02215, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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We simulated tracer travel times in porous media, revealing distinct flow behaviors under constant pressure and current conditions. These findings offer insights into fluid transport and oil recovery processes.

Area of Science:

  • Physics
  • Geophysics
  • Chemical Engineering

Background:

  • Understanding fluid flow in porous media is crucial for applications like oil recovery and groundwater management.
  • Percolation theory provides a framework for studying transport phenomena in disordered systems.

Purpose of the Study:

  • To numerically simulate and analyze tracer travel time probability density functions in a 2D percolation model.
  • To investigate the effects of different flow conditions (constant pressure vs. constant current) and bond fractions (homogeneous vs. critical threshold) on tracer transport.

Main Methods:

  • Numerical simulation of tracer travel time in a 2D percolation model.
  • Calculation and analysis of the probability density function for tracer travel times.
  • Comparison of results under constant pressure and constant current conditions at the critical percolation threshold.

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Main Results:

  • Identified distinct regions in the travel time probability density function for both homogeneous and critical cases.
  • Characterized these regions by specific behaviors, including zero probability before breakthrough, a maximum for fast flow lines, and power-law decays for intermediate and long times.
  • Related the long-time power-law decay to multifractal properties of flow in percolation.

Conclusions:

  • Developed scaling assumptions for tracer travel time probability density under constant pressure and constant current conditions.
  • Presented a production curve relevant to oil recovery, derived from the travel time probability.
  • Highlighted the differences and analytical relationships between constant pressure and constant current flow behaviors.