TY - JOUR
T1 - Simulation of hydraulic fracturing processes in rocks by coupling the lattice Boltzmann model and the Park-Paulino-Roesler potential-based cohesive zone model
AU - Mejía Camones, Luis A.
AU - Vargas, Eurípedes do A.
AU - Velloso, Raquel Q.
AU - Paulino, Glaucio H.
N1 - Funding Information:
The authors acknowledge “Coordenação de Aperfeiçoamento de Pessoal de Nível Superior” (CAPES) Foundation of the Ministry of Education of Brazil for the financial support for this research (Proc. 12144/13-4), and the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. In addition, we would like to thank Rodrigo Espinha for sharing the Tops library; Daniel Spring, from University of Illinois at Urbana-Champaign (UIUC), for the support on the PPR model implementation; Bruno Gonçalves, from the Massachusetts Institute of Technology (MIT), for the experimental test information; Omid Mahabadi, from Geomechanica Inc., for the useful discusions; and Oliver Giraldo-Londoño for helpful comments on the work and for his invaluable input to the manuscript. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Funding Information:
The authors acknowledge "Coordenação de Aperfeiçoamento de Pessoal de Nível Superior" (CAPES ) Foundation of the Ministry of Education of Brazil for the financial support for this research ( Proc. 12144/13-4 ), and the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. In addition, we would like to thank Rodrigo Espinha for sharing the Tops library; Daniel Spring, from University of Illinois at Urbana-Champaign (UIUC), for the support on the PPR model implementation; Bruno Gonçalves, from the Massachusetts Institute of Technology (MIT), for the experimental test information; Omid Mahabadi, from Geomechanica Inc., for the useful discusions; and Oliver Giraldo-Londoño for helpful comments on the work and for his invaluable input to the manuscript. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/12
Y1 - 2018/12
N2 - This paper contributes a scheme for two-dimensional (2D) numerical simulation of hydraulic fracturing processes in geological materials, which consists of a numerical coupling between the finite element method (FEM) and the lattice Boltzmann (LB) model. The Park-Paulino-Roesler potential-based cohesive zone model (PPR) is used to simulate the fracture propagation by means of interface finite elements, such that cohesive forces act on the fracture surface, capturing the softening process. The PPR model is used because it is a generalized fracture model that can represent the fracture process for mode I, mode II and mixed mode I-II, and can be applied to various materials, including heterogeneous materials, such as rock. The FEM and LB are coupled in an iterative process. The paper describes implementation details including procedures for coupling both methods. Examples of hydraulic fracturing process, modeled with the proposed FEM-LB coupling demonstrate the potential of this numerical procedure to model hydraulic fracturing processes in geomaterials of complex geometries.
AB - This paper contributes a scheme for two-dimensional (2D) numerical simulation of hydraulic fracturing processes in geological materials, which consists of a numerical coupling between the finite element method (FEM) and the lattice Boltzmann (LB) model. The Park-Paulino-Roesler potential-based cohesive zone model (PPR) is used to simulate the fracture propagation by means of interface finite elements, such that cohesive forces act on the fracture surface, capturing the softening process. The PPR model is used because it is a generalized fracture model that can represent the fracture process for mode I, mode II and mixed mode I-II, and can be applied to various materials, including heterogeneous materials, such as rock. The FEM and LB are coupled in an iterative process. The paper describes implementation details including procedures for coupling both methods. Examples of hydraulic fracturing process, modeled with the proposed FEM-LB coupling demonstrate the potential of this numerical procedure to model hydraulic fracturing processes in geomaterials of complex geometries.
KW - Crack propagation
KW - Hydraulic fracturing
KW - Lattice-Boltzmann model
KW - PPR cohesive-based zone model
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U2 - 10.1016/j.ijrmms.2018.09.003
DO - 10.1016/j.ijrmms.2018.09.003
M3 - Article
AN - SCOPUS:85056715319
SN - 1365-1609
VL - 112
SP - 339
EP - 353
JO - International Journal of Rock Mechanics and Mining Sciences
JF - International Journal of Rock Mechanics and Mining Sciences
ER -