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Hydraulic Fracture Propagation in a Poro-Elastic Medium with Time-Dependent Injection Schedule Using the Time-Stepped Linear Superposition Method (TLSM)

Author

Listed:
  • Tri Pham

    (Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station, TX 77843, USA)

  • Ruud Weijermars

    (Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station, TX 77843, USA
    College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

The Time-Stepped Linear Superposition Method (TLSM) has been used previously to model and analyze the propagation of multiple competitive hydraulic fractures with constant internal pressure loads. This paper extends the TLSM methodology, by including a time-dependent injection schedule using pressure data from a typical diagnostic fracture injection test (DFIT). In addition, the effect of poro-elasticity in reservoir rocks is accounted for in the TLSM models presented here. The propagation of multiple hydraulic fractures using TLSM-based codes preserves infinite resolution by side-stepping grid refinement. First, the TLSM methodology is briefly outlined, together with the modifications required to account for variable time-dependent pressure and poro-elasticity in reservoir rock. Next, real world DFIT data are used in TLSM to model the propagation of multiple dynamic fractures and study the effect of time-dependent pressure and poro-elasticity on the development of hydraulic fracture networks. TLSM-based codes can quantify and visualize the effects of time-dependent pressure, and poro-elasticity can be effectively analyzed, using DFIT data, supported by dynamic visualizations of the changes in spatial stress concentrations during the fracture propagation process. The results from this study may help develop fracture treatment solutions with improved control of the fracture network created while avoiding the occurrence of fracture hits.

Suggested Citation

  • Tri Pham & Ruud Weijermars, 2020. "Hydraulic Fracture Propagation in a Poro-Elastic Medium with Time-Dependent Injection Schedule Using the Time-Stepped Linear Superposition Method (TLSM)," Energies, MDPI, vol. 13(24), pages 1-22, December.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:24:p:6474-:d:458509
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    References listed on IDEAS

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    1. Weijermars, Ruud & Ettehad, Mahmood, 2019. "Displacement field potentials for deformation in elastic Media: Theory and application to pressure-loaded boreholes," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 276-295.
    2. Shahla Feizi Masouleh & Dharmendra Kumar & Ahmad Ghassemi, 2020. "Three-Dimensional Geomechanical Modeling and Analysis of Refracturing and “Frac-Hits” in Unconventional Reservoirs," Energies, MDPI, vol. 13(20), pages 1-35, October.
    3. Weijermars, Ruud & Pham, Tri & Ettehad, Mahmood, 2020. "Linear superposition method (LSM) for solving stress tensor fields and displacement vector fields: Application to multiple pressure-loaded circular holes in an elastic plate with far-field stress," Applied Mathematics and Computation, Elsevier, vol. 381(C).
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    Cited by:

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    2. Mohammad Ahmad Mahmoudi Zamani & Dariusz Knez, 2021. "A New Mechanical-Hydrodynamic Safety Factor Index for Sand Production Prediction," Energies, MDPI, vol. 14(11), pages 1-14, May.

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