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Transient flow modeling in fractured media using graphs.

Shriram Srinivasan1, Daniel O'Malley2, Jeffrey D Hyman2

  • 1Center for Nonlinear Studies and Computational Earth Science, Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review. E
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Summary
This summary is machine-generated.

This study introduces a graph theory method for simulating transient fluid flows in fractured media, achieving a computational speedup of 1400. This approach enables analysis where steady-state approximations are insufficient, like in hydraulic fracturing.

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Area of Science:

  • Geosciences
  • Computational Science
  • Fluid Dynamics

Background:

  • Simulating fluid flow in fractured media is crucial for subsurface resource management.
  • Previous graph-based methods excelled at steady-state flow but struggled with transient dynamics.
  • Transient flow simulations are necessary for complex scenarios where steady-state assumptions fail.

Purpose of the Study:

  • To develop and validate a graph-theory-based method for simulating transient fluid flows in fractured media.
  • To assess the computational efficiency of the proposed method compared to previous approaches.
  • To demonstrate the applicability of the method to practical problems, such as hydraulic fracturing.

Main Methods:

  • Utilizing graph theory to represent discrete fracture networks.
  • Implementing a time-marching scheme to solve flow equations within a time-stepping framework.
  • Verifying the simulation method against an analytical test case.

Main Results:

  • Achieved a mean computational speedup of approximately 1400 for transient flow simulations.
  • Demonstrated a significant speedup compared to steady-state flow simulations (order of 10^4).
  • Successfully applied the method to simulate fluid flow in hydraulically fractured reservoirs.

Conclusions:

  • Graph-based approaches can effectively capture fracture network topology for transient flow simulations.
  • The developed method provides a valuable tool for analyzing transient flows where steady-state models are inadequate.
  • This work opens new possibilities for uncertainty quantification in fractured media flow problems.