Accelerated explicit-implicit algorithms for the simulation of two-phase Flow toward a horizontal multistage hydraulically fractured well


  • A.B. Mazo Kazan Federal University
  • M.R. Khamidullin Kazan Federal University



two-phase filtration, hydraulic fracturing, IMPES method, FIM method


Explicit-implicit approximation schemes for the numerical simulation of 3D two-phase flows toward a horizontal multistage hydraulically fractured well are proposed. This approach is based on the division of the computational domain into local subdomains and on using either an explicit or implicit scheme for the saturation transport equation with consideration of a local Courant number.

Author Biographies

A.B. Mazo

Kazan Federal University
• Professor

M.R. Khamidullin

Kazan Federal University
• Professor


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How to Cite

Мазо А.Б., Хамидуллин М.Р. Accelerated Explicit-Implicit Algorithms for the Simulation of Two-Phase Flow Toward a Horizontal Multistage Hydraulically Fractured Well // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 204-213. doi 10.26089/NumMet.v18r318



Section 1. Numerical methods and applications