Three-Dimensional Model of Fracture Propagation from the Cavity Causedby Quasi-Static Load or Viscous Fluid Pumping
Fracture propagation caused by fluid pumping is in the focus of the report. The most popular approaches and problem statements used for the propagation simulation are described.
Methods of simulation of the main processes that take place during the fracture propagation are outlined. There processes are the follows: rock deformation and rock breaking, fluid flow inside the fracture and its filtration in the rock.
New method of fracture propagation simulation is proposed. The method unites three sub-models that describe three (except the fluid filtration) processes that affect the fracture propagation. Important advance of the methodic is its ability to replace any sub-model without numerical algorithm modification. So the appropriate sub-model can be chosen for each process depending on the problem features.
Thus quasi static and unsteady statement may be used for simulation of fracture propagation caused by viscous and inviscid fluid pumping. Rock deformation is described in scope of linear elasticity equation of homogeneous uniform material. Classical (similar to one used in ) and dual boundary element methods are used for this equations solution. Rock breaking caused by the fracture propagation is described by Irwin’s criterion coupled with maximal circumferential stress criterion for calculation of propagation direction. Various approaches are used to obtain stress intensity factors that are necessary for both criteria.
Proposed methodic has been applied for fracture propagation simulation. The sensitivity of fracture propagation process to variation of the main physical parameters has been shown.
KeywordsThree-dimensional dual boundary elements method Quasi-Static load Viscous fluid Hydraulic fracturing Non-planar fracture propagation
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- 1.Lapin, V.N., Cherny, S.G., Esipov, D.V., Kuranakov, D.V.: 3D model of fracture initiation and propagation from the cavity in the elastic media loaded by constant pressure. In: Proceedeings of VIII Kazachstan-Russian Conference “Mathematical Modelling in Science and Technical Problems of Oil and Gas Industry”, vol. 2, pp. 129–132, Jun 20–21, Kazakhstan, Atyrau (2014) (in Russian)Google Scholar
- 2.Cherny, S.G., Lapin, V.N., Esipov, D.V., Kuranakov, D.S., Avdyushenko, A.Y.: Simulating fully 3D non-planar evolution of hydraulic fractures. Submitted to the International Journal of Fracture (2015)Google Scholar
- 4.Mi, Y., Aliabadi, M.H.: Dual boundary element method for three-dimensional fracture mechanics analysis. Engineering Analysis 10(2), 161–171 (1992)Google Scholar
- 6.Aliabadi, M.H.: The Boundary Element Method. Applications in Solids and Structures, vol. 2, 598p. John Wiley and Sons Ltd. (2002)Google Scholar