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Title: Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite-discrete element method

Abstract

Here, we propose a novel hydraulic solver in order to simulate key mechanisms that control fluid-driven cracks in the framework of the combined finite-discrete element method (FDEM). The main innovative aspect of the present work is the independence of the fluid's critical time step size with the fracture opening. This advantage is extremely important because it means that very fine meshes can be used around areas of interest, such as boreholes, without penalizing the computational cost as fractures propagate (ie, open) and the fluid flows through them. This is a great advantage over other recently introduced approaches that exhibit a dependency of the time step in the form of Δt crit ∝ (l/a) 2 where l is the element size and a is the fracture aperture. This paper presents a series of benchmark cases for the proposed solver. The rationale adopted by the authors was to benchmark and validate the implementation of the hydraulic solver in an incremental fashion, starting from the simplest cases and building in complexity. The calculations shown in this work clearly demonstrate that the proposed approach is able to reproduce analytical results for fluid flow through a single crack. The results presented in this paper alsomore » demonstrate that the new approach is robust enough to deal with complex fracture patterns and complex geometries; the obtained fluid-driven fracture patterns in the vicinity of a borehole certainly stand to the scrutiny of human visual perception.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Split, Split (Croatia)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1507331
Report Number(s):
LA-UR-18-27187
Journal ID: ISSN 0363-9061
Grant/Contract Number:  
89233218CNA000001; AC5206NA25396
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical and Analytical Methods in Geomechanics
Additional Journal Information:
Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics; Journal ID: ISSN 0363-9061
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; combined finite-discrete element method; hydraulic fracture; explicit time integration; critical time step; incompressible fluid

Citation Formats

Lei, Zhou, Rougier, Esteban, Munjiza, Antonio, Viswanathan, Hari, and Knight, Earl E. Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite-discrete element method. United States: N. p., 2019. Web. doi:10.1002/nag.2929.
Lei, Zhou, Rougier, Esteban, Munjiza, Antonio, Viswanathan, Hari, & Knight, Earl E. Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite-discrete element method. United States. doi:10.1002/nag.2929.
Lei, Zhou, Rougier, Esteban, Munjiza, Antonio, Viswanathan, Hari, and Knight, Earl E. Mon . "Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite-discrete element method". United States. doi:10.1002/nag.2929.
@article{osti_1507331,
title = {Simulation of discrete cracks driven by nearly incompressible fluid via 2D combined finite-discrete element method},
author = {Lei, Zhou and Rougier, Esteban and Munjiza, Antonio and Viswanathan, Hari and Knight, Earl E.},
abstractNote = {Here, we propose a novel hydraulic solver in order to simulate key mechanisms that control fluid-driven cracks in the framework of the combined finite-discrete element method (FDEM). The main innovative aspect of the present work is the independence of the fluid's critical time step size with the fracture opening. This advantage is extremely important because it means that very fine meshes can be used around areas of interest, such as boreholes, without penalizing the computational cost as fractures propagate (ie, open) and the fluid flows through them. This is a great advantage over other recently introduced approaches that exhibit a dependency of the time step in the form of Δtcrit ∝ (l/a)2 where l is the element size and a is the fracture aperture. This paper presents a series of benchmark cases for the proposed solver. The rationale adopted by the authors was to benchmark and validate the implementation of the hydraulic solver in an incremental fashion, starting from the simplest cases and building in complexity. The calculations shown in this work clearly demonstrate that the proposed approach is able to reproduce analytical results for fluid flow through a single crack. The results presented in this paper also demonstrate that the new approach is robust enough to deal with complex fracture patterns and complex geometries; the obtained fluid-driven fracture patterns in the vicinity of a borehole certainly stand to the scrutiny of human visual perception.},
doi = {10.1002/nag.2929},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {3}
}

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This content will become publicly available on March 25, 2020
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