TY - GEN

T1 - Three-dimensional model of fracture propagation from the cavity caused by quasi-static load or viscous fluid pumping

AU - Shokin, Yuriy

AU - Cherny, Sergey

AU - Esipov, Denis

AU - Lapin, Vasily

AU - Lyutov, Alexey

AU - Kuranakov, Dmitriy

PY - 2015

Y1 - 2015

N2 - 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 [1]) 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.

AB - 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 [1]) 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.

KW - Hydraulic fracturing

KW - Non-planar fracture propagation

KW - Quasi-Static load

KW - Three-dimensional dual boundary elements method

KW - Viscous fluid

UR - http://www.scopus.com/inward/record.url?scp=84951946204&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-25058-8_15

DO - 10.1007/978-3-319-25058-8_15

M3 - Conference contribution

AN - SCOPUS:84951946204

SN - 9783319250571

T3 - Communications in Computer and Information Science

SP - 143

EP - 157

BT - Mathematical Modeling of Technological Processes - 8th International Conference, CITech 2015, Proceedings

A2 - Shokin, Yurii

A2 - Danaev, Nargozy

A2 - Akhmed-Zaki D., Darkhan

PB - Springer-Verlag GmbH and Co. KG

T2 - 8th International Conference on Mathematical Modeling of Technological Processes, CITech 2015

Y2 - 24 September 2015 through 27 September 2015

ER -