Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures

Franceschini, Andrea; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A.

doi:10.1016/j.cma.2020.113161

Title: Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures

Journal Article · Sat Aug 01 00:00:00 EDT 2020 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2020.113161· OSTI ID:1631478

; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A.

Accurate numerical simulation of coupled fracture/fault deformation and fluid flow is crucial to the performance and safety assessment of many subsurface systems. In this work, we consider the discretization and enforcement of contact conditions at such surfaces. The bulk rock deformation is simulated using low-order continuous finite elements, while frictional contact conditions are imposed by means of a Lagrange multiplier method. We employ a cell-centered finite-volume scheme to solve the fracture fluid mass balance equation. From a modeling perspective, a convenient choice is to use a single grid for both mechanical and flow processes, with piecewise-constant interpolation of Lagrange multipliers, i.e., contact tractions and fluid pressure. Unfortunately, this combination of displacement and multiplier variables is not uniformly inf–sup stable, and therefore requires a stabilization technique. Starting from a macroelement analysis, we develop two algebraic stabilization approaches and compare them in terms of robustness and convergence rate. The proposed approaches are validated against challenging analytical two- and three-dimensional benchmarks to demonstrate accuracy and robustness. These benchmarks include both pure contact mechanics problems and well as problems with tightly-coupled fracture flow.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07-NA27344; AC52-07NA27344

OSTI ID:: 1631478

Alternate ID(s):: OSTI ID: 1736336

Report Number(s):: LLNL-JRNL-801958; S0045782520303467; 113161; PII: S0045782520303467

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 368 Journal Issue: C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (79)

Self-similar solution of a plane-strain fracture driven by a power-law fluid Adachi, J. I.; Detournay, E. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 26, Issue 6 https://doi.org/10.1002/nag.213	journal	January 2002
A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part I: Single interface Annavarapu, Chandrasekhar; Hautefeuille, Martin; Dolbow, John E. Computer Methods in Applied Mechanics and Engineering, Vol. 268 https://doi.org/10.1016/j.cma.2013.09.002	journal	January 2014
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics Berge, Runar L.; Berre, Inga; Keilegavlen, Eirik International Journal for Numerical Methods in Engineering, Vol. 121, Issue 4 https://doi.org/10.1002/nme.6238	journal	October 2019
A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier Wohlmuth, Barbara I. SIAM Journal on Numerical Analysis, Vol. 38, Issue 3 https://doi.org/10.1137/S0036142999350929	journal	January 2000
Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions Savitski, A. A.; Detournay, E. International Journal of Solids and Structures, Vol. 39, Issue 26 https://doi.org/10.1016/S0020-7683(02)00492-4	journal	December 2002
Error estimates for the three-field formulation with bubble stabilization Brezzi, Franco; Marini, Donatella Mathematics of Computation, Vol. 70, Issue 235 https://doi.org/10.1090/S0025-5718-00-01250-3	journal	March 2000
A new dual mortar method for curved interfaces: 2D elasticity Flemisch, B.; Puso, M. A.; Wohlmuth, B. I. International Journal for Numerical Methods in Engineering, Vol. 63, Issue 6 https://doi.org/10.1002/nme.1300	journal	January 2005
Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem Terekhov, Kirill M.; Mallison, Bradley T.; Tchelepi, Hamdi A. Journal of Computational Physics, Vol. 330 https://doi.org/10.1016/j.jcp.2016.11.010	journal	February 2017
Monotone nonlinear finite-volume method for challenging grids Schneider, M.; Flemisch, B.; Helmig, R. Computational Geosciences, Vol. 22, Issue 2 https://doi.org/10.1007/s10596-017-9710-8	journal	January 2018
Hydraulic conductivity of rock fractures Zimmerman, RobertW.; Bodvarsson, GudmundurS. Transport in Porous Media, Vol. 23, Issue 1 https://doi.org/10.1007/BF00145263	journal	April 1996
Stabilization of mixed tetrahedral elements at large deformations: STABILIZED MIXED TETRAHEDRAL ELEMENTS AT LARGE DEFORMATION Caylak, Ismail; Mahnken, Rolf International Journal for Numerical Methods in Engineering, Vol. 90, Issue 2 https://doi.org/10.1002/nme.3320	journal	December 2011
Experimental Study on Seepage and Stress of Single-fracture Radiation Flow Zhang, Xin; Chai, Junrui; Qin, Yuan KSCE Journal of Civil Engineering, Vol. 23, Issue 3 https://doi.org/10.1007/s12205-019-1519-7	journal	January 2019
An enriched–FEM technique for numerical simulation of interacting discontinuities in naturally fractured porous media Khoei, A. R.; Vahab, M.; Hirmand, M. Computer Methods in Applied Mechanics and Engineering, Vol. 331 https://doi.org/10.1016/j.cma.2017.11.016	journal	April 2018
The penny-shaped crack problem for a finitely deformed incompressible elastic solid Selvadurai, A. P. S. International Journal of Fracture, Vol. 16, Issue 4 https://doi.org/10.1007/BF00018237	journal	August 1980
Parallel solution to ill-conditioned FE geomechanical problems: PARALLEL SOLUTION TO FE GEOMECHANICAL PROBLEMS Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 36, Issue 4 https://doi.org/10.1002/nag.1012	journal	January 2011
A discontinuous stabilized mortar method for general 3D elastic problems Hauret, Patrice; Le Tallec, Patrick Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 49-52 https://doi.org/10.1016/j.cma.2007.06.014	journal	November 2007
Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model Carrier, Benoit; Granet, Sylvie Engineering Fracture Mechanics, Vol. 79 https://doi.org/10.1016/j.engfracmech.2011.11.012	journal	January 2012
Numerical investigation of the flow regimes through hydraulic fractures using the X-FEM technique Vahab, M.; Khalili, N. Engineering Fracture Mechanics, Vol. 169 https://doi.org/10.1016/j.engfracmech.2016.11.017	journal	January 2017
A fully coupled method for massively parallel simulation of hydraulically driven fractures in 3-dimensions: FULLY COUPLED PARALLEL SIMULATION OF HYDRAULIC FRACTURES IN 3-D Settgast, Randolph R.; Fu, Pengcheng; Walsh, Stuart D. C. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 5 https://doi.org/10.1002/nag.2557	journal	September 2016
A discourse on the stability conditions for mixed finite element formulations Brezzi, Franco; Bathe, Klaus-Jürgen Computer Methods in Applied Mechanics and Engineering, Vol. 82, Issue 1-3 https://doi.org/10.1016/0045-7825(90)90157-H	journal	September 1990
Block preconditioning for fault/fracture mechanics saddle-point problems Franceschini, Andrea; Castelletto, Nicola; Ferronato, Massimiliano Computer Methods in Applied Mechanics and Engineering, Vol. 344 https://doi.org/10.1016/j.cma.2018.09.039	journal	February 2019
Phase-field modeling of fracture in linear thin shells Amiri, F.; Millán, D.; Shen, Y. Theoretical and Applied Fracture Mechanics, Vol. 69 https://doi.org/10.1016/j.tafmec.2013.12.002	journal	February 2014
Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method Burman, Erik; Hansbo, Peter Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 41-44 https://doi.org/10.1016/j.cma.2010.05.011	journal	October 2010
A contact algorithm for 3D discrete and finite element contact problems based on penalty function method Zang, Mengyan; Gao, Wei; Lei, Zhou Computational Mechanics, Vol. 48, Issue 5 https://doi.org/10.1007/s00466-011-0606-5	journal	May 2011
Discrete fracture model for coupled flow and geomechanics Garipov, T. T.; Karimi-Fard, M.; Tchelepi, H. A. Computational Geosciences, Vol. 20, Issue 1 https://doi.org/10.1007/s10596-015-9554-z	journal	January 2016
Coupled multiphase flow and poromechanics: A computational model of pore pressure effects on fault slip and earthquake triggering Jha, Birendra; Juanes, Ruben Water Resources Research, Vol. 50, Issue 5 https://doi.org/10.1002/2013WR015175	journal	May 2014
Structural controls on leakage from a natural CO2 geologic storage site: Central Utah, U.S.A. Dockrill, Ben; Shipton, Zoe K. Journal of Structural Geology, Vol. 32, Issue 11 https://doi.org/10.1016/j.jsg.2010.01.007	journal	November 2010
Isogeometric dual mortar methods for computational contact mechanics Seitz, Alexander; Farah, Philipp; Kremheller, Johannes Computer Methods in Applied Mechanics and Engineering, Vol. 301 https://doi.org/10.1016/j.cma.2015.12.018	journal	April 2016
A comparison between a semi-analytical and a numerical solution of a two-dimensional hydraulic fracture Carbonell, R.; Desroches, Jean; Detournay, Emmanuel International Journal of Solids and Structures, Vol. 36, Issue 31-32 https://doi.org/10.1016/S0020-7683(98)00269-8	journal	November 1999
Extended finite element simulation of crack propagation in fractured rock masses Zhang, Y. L.; Feng, X. T. Materials Research Innovations, Vol. 15, Issue sup1 https://doi.org/10.1179/143307511X12858957677037	journal	February 2011
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations Elman, Howard C.; Silvester, David J.; Wathen, Andrew J. Numerische Mathematik, Vol. 90, Issue 4 https://doi.org/10.1007/s002110100300	journal	February 2002
A Rapid Method of Predicting Width and Extent of Hydraulically Induced Fractures Geertsma, J.; De Klerk, F. Journal of Petroleum Technology, Vol. 21, Issue 12 https://doi.org/10.2118/2458-PA	journal	December 1969
A novel Lagrangian approach for the stable numerical simulation of fault and fracture mechanics Franceschini, Andrea; Ferronato, Massimiliano; Janna, Carlo Journal of Computational Physics, Vol. 314 https://doi.org/10.1016/j.jcp.2016.03.032	journal	June 2016
On adaptive refinement techniques in multi-field problems including cohesive fracture Schrefler, Bernhard A.; Secchi, Stefano; Simoni, Luciano Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issue 4-6 https://doi.org/10.1016/j.cma.2004.10.014	journal	January 2006
A formulation for frictionless contact problems using a weak form introduced by Nitsche Wriggers, P.; Zavarise, G. Computational Mechanics, Vol. 41, Issue 3 https://doi.org/10.1007/s00466-007-0196-4	journal	July 2007
An augmented Lagrangian contact formulation for frictional discontinuities with the extended finite element method Hirmand, M.; Vahab, M.; Khoei, A. R. Finite Elements in Analysis and Design, Vol. 107 https://doi.org/10.1016/j.finel.2015.08.003	journal	December 2015
Finite volume schemes for diffusion equations: Introduction to and review of modern methods Droniou, Jerome Mathematical Models and Methods in Applied Sciences, Vol. 24, Issue 08 https://doi.org/10.1142/S0218202514400041	journal	May 2014
A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis Chouly, Franz; Hild, Patrick SIAM Journal on Numerical Analysis, Vol. 51, Issue 2 https://doi.org/10.1137/12088344X	journal	January 2013
An augmented Lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems: AN AUGMENTED LAGRANGIAN TECHNIQUE COMBINED WITH A MORTAR ALGORITHM Cavalieri, F. J.; Cardona, A. International Journal for Numerical Methods in Engineering, Vol. 93, Issue 4 https://doi.org/10.1002/nme.4391	journal	July 2012
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle Comptes Rendus Mathematique, Vol. 344, Issue 6 https://doi.org/10.1016/j.crma.2007.01.024	journal	March 2007
Symmetric-Galerkin BEM simulation of fracture with frictional contact Phan, A. -V.; Napier, J. A. L.; Gray, L. J. International Journal for Numerical Methods in Engineering, Vol. 57, Issue 6 https://doi.org/10.1002/nme.707	journal	January 2003
An Approach for Modeling Rock Discontinuous Mechanical Behavior Under Multiphase Fluid Flow Conditions Pan, Peng-Zhi; Rutqvist, Jonny; Feng, Xia-Ting Rock Mechanics and Rock Engineering, Vol. 47, Issue 2 https://doi.org/10.1007/s00603-013-0428-1	journal	May 2013
TOUGH-UDEC: A simulator for coupled multiphase fluid flows, heat transfers and discontinuous deformations in fractured porous media Lee, Jaewon; Kim, Kwang-Il; Min, Ki-Bok Computers & Geosciences, Vol. 126 https://doi.org/10.1016/j.cageo.2019.02.004	journal	May 2019
Assumed enhanced strain and the extended finite element methods: A unification of concepts Borja, Ronaldo I. Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 33-40 https://doi.org/10.1016/j.cma.2008.01.019	journal	June 2008
A Model for the Mechanics of Jointed Rock Goodman, Richard E.; Taylor, Robert L.; Brekke, Tor L. Journal of the Soil Mechanics and Foundations Division, Vol. 94, Issue 3 https://doi.org/10.1061/JSFEAQ.0001133	journal	May 1968
A method for solving contact problems Zavarise, G.; Wriggers, P.; Schrefler, B. A. International Journal for Numerical Methods in Engineering, Vol. 42, Issue 3 https://doi.org/10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A	journal	June 1998
An embedded mesh method using piecewise constant multipliers with stabilization: mathematical and numerical aspects: AN EMBEDDED MESH METHOD: MATHEMATICAL AND NUMERICAL ASPECTS Puso, M. A.; Kokko, E.; Settgast, R. International Journal for Numerical Methods in Engineering, Vol. 104, Issue 7 https://doi.org/10.1002/nme.4796	journal	October 2014
A Review of Hydraulic Fracture Models and Development of an Improved Pseudo-3D Model for Stimulating Tight Oil/Gas Sand Rahman, M. M.; Rahman, M. K. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, Vol. 32, Issue 15 https://doi.org/10.1080/15567030903060523	journal	May 2010
A phase-field model for cohesive fracture: A PHASE-FIELD MODEL FOR COHESIVE FRACTURE Verhoosel, Clemens V.; de Borst, René International Journal for Numerical Methods in Engineering, Vol. 96, Issue 1 https://doi.org/10.1002/nme.4553	journal	July 2013
An embedded mesh method in a multiple material ALE Puso, Michael A.; Sanders, Jessica; Settgast, Randy Computer Methods in Applied Mechanics and Engineering, Vol. 245-246 https://doi.org/10.1016/j.cma.2012.07.014	journal	October 2012
Propagation Regimes of Fluid-Driven Fractures in Impermeable Rocks Detournay, E. International Journal of Geomechanics, Vol. 4, Issue 1 https://doi.org/10.1061/(ASCE)1532-3641(2004)4:1(35)	journal	March 2004
A finite volume method for advection–diffusion problems in convection-dominated regimes Manzini, Gianmarco; Russo, Alessandro Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 13-16 https://doi.org/10.1016/j.cma.2007.11.014	journal	February 2008
Numerical solution of saddle point problems Benzi, Michele; Golub, Gene H.; Liesen, Jörg Acta Numerica, Vol. 14 https://doi.org/10.1017/S0962492904000212	journal	April 2005
Numerical Modeling of Multistranded-Hydraulic-Fracture Propagation: Accounting for the Interaction Between Induced and Natural Fractures Dahi-Taleghani, Arash; Olson, Jon E. SPE Journal, Vol. 16, Issue 03 https://doi.org/10.2118/124884-PA	journal	September 2011
Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique Bressan, A.; Sangalli, G. IMA Journal of Numerical Analysis, Vol. 33, Issue 2 https://doi.org/10.1093/imanum/drr056	journal	September 2012
Validity of Cubic Law for fluid flow in a deformable rock fracture Witherspoon, P. A.; Wang, J. S. Y.; Iwai, K. Water Resources Research, Vol. 16, Issue 6 https://doi.org/10.1029/WR016i006p01016	journal	December 1980
A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures Köppel, Markus; Martin, Vincent; Roberts, Jean E. GEM - International Journal on Geomathematics, Vol. 10, Issue 1 https://doi.org/10.1007/s13137-019-0117-7	journal	January 2019
A Fully Coupled XFEM-EDFM Model for Multiphase Flow and Geomechanics in Fractured Tight Gas Reservoirs Ren, Guotong; Jiang, Jiamin; Younis, Rami M. Procedia Computer Science, Vol. 80 https://doi.org/10.1016/j.procs.2016.05.449	journal	January 2016
An augmented-Lagrangian method for the phase-field approach for pressurized fractures Wheeler, M. F.; Wick, T.; Wollner, W. Computer Methods in Applied Mechanics and Engineering, Vol. 271 https://doi.org/10.1016/j.cma.2013.12.005	journal	April 2014
Variationally consistent discretization schemes and numerical algorithms for contact problems Wohlmuth, Barbara Acta Numerica, Vol. 20 https://doi.org/10.1017/S0962492911000079	journal	April 2011
Dual mortar methods for computational contact mechanics - overview and recent developments: Dual mortar methods for computational contact mechanics - overview and recent developments Popp, A.; Wall, W. A. GAMM-Mitteilungen, Vol. 37, Issue 1 https://doi.org/10.1002/gamm.201410004	journal	July 2014
Numerical modelling of regional faults in land subsidence prediction above gas/oil reservoirs Ferronato, Massimiliano; Gambolati, Giuseppe; Janna, Carlo International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 6 https://doi.org/10.1002/nag.640	journal	January 2008
Stabilized finite-element method for the stationary Navier-Stokes equations He, Yinnian; Wang, Aiwen; Mei, Liquan Journal of Engineering Mathematics, Vol. 51, Issue 4 https://doi.org/10.1007/s10665-004-3718-5	journal	April 2005
Nitsche’s extended finite element method for a fracture model in porous media Capatina, D.; Luce, R.; El-Otmany, H. Applicable Analysis, Vol. 95, Issue 10 https://doi.org/10.1080/00036811.2015.1075007	journal	August 2015
A phase-field formulation for dynamic cohesive fracture Geelen, Rudy J. M.; Liu, Yingjie; Hu, Tianchen Computer Methods in Applied Mechanics and Engineering, Vol. 348 https://doi.org/10.1016/j.cma.2019.01.026	journal	May 2019
The mortar element method for three dimensional finite elements Ben Belgacem, F.; Maday, Y. ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 31, Issue 2 https://doi.org/10.1051/m2an/1997310202891	journal	January 1997
Coupled reservoir–geomechanical analysis of the potential for tensile and shear failure associated with CO2 injection in multilayered reservoir–caprock systems Rutqvist, J.; Birkholzer, J. T.; Tsang, Chin-Fu International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 2 https://doi.org/10.1016/j.ijrmms.2007.04.006	journal	February 2008
Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the stokes problem Silvester, D. J.; Kechkar, N. Computer Methods in Applied Mechanics and Engineering, Vol. 79, Issue 1 https://doi.org/10.1016/0045-7825(90)90095-4	journal	March 1990
A general gridding, discretization, and coarsening methodology for modeling flow in porous formations with discrete geological features Karimi-Fard, M.; Durlofsky, L. J. Advances in Water Resources, Vol. 96 https://doi.org/10.1016/j.advwatres.2016.07.019	journal	October 2016
A Preconditioner for Generalized Saddle Point Problems Benzi, Michele; Golub, Gene H. SIAM Journal on Matrix Analysis and Applications, Vol. 26, Issue 1 https://doi.org/10.1137/S0895479802417106	journal	January 2004
Computational model for 3-D contact problems with friction based on the penalty method Perić, Djordje; Owen, D. R. J. International Journal for Numerical Methods in Engineering, Vol. 35, Issue 6 https://doi.org/10.1002/nme.1620350609	journal	October 1992
Microseismicity derived fault‐Planes and their relationship to focal mechanism, stress inversion, and geologic data Urbancic, Theodore I.; Trifu, Cezar‐Ioan; Young, R. Paul Geophysical Research Letters, Vol. 20, Issue 22 https://doi.org/10.1029/93GL02937	journal	November 1993
Extended Finite Element Method for the Analysis of Discontinuities in Rock Masses Deb, Debasis; Das, Kamal C. Geotechnical and Geological Engineering, Vol. 28, Issue 5 https://doi.org/10.1007/s10706-010-9323-7	journal	April 2010
A modeling approach for analysis of coupled multiphase fluid flow, heat transfer, and deformation in fractured porous rock Rutqvist, J.; Wu, Y. -S.; Tsang, C. -F. International Journal of Rock Mechanics and Mining Sciences, Vol. 39, Issue 4 https://doi.org/10.1016/S1365-1609(02)00022-9	journal	June 2002
A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics Hild, Patrick; Renard, Yves Numerische Mathematik, Vol. 115, Issue 1 https://doi.org/10.1007/s00211-009-0273-z	journal	November 2009
Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment Pietrzak, G.; Curnier, A. Computer Methods in Applied Mechanics and Engineering, Vol. 177, Issue 3-4 https://doi.org/10.1016/S0045-7825(98)00388-0	journal	July 1999
Experimental study on penny-shaped fluid-driven cracks in an elastic matrix Lai, Ching-Yao; Zheng, Zhong; Dressaire, Emilie Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 471, Issue 2182 https://doi.org/10.1098/rspa.2015.0255	journal	October 2015
Growth rate of a penny-shaped crack in hydraulic fracturing of rocks, 2 Abé, H.; Keer, L. M.; Mura, T. Journal of Geophysical Research, Vol. 81, Issue 35 https://doi.org/10.1029/JB081i035p06292	journal	December 1976
Slip-tendency analysis and fault reactivation Morris, Alan; Ferrill, David A.; Brent Henderson, D. Brent Geology, Vol. 24, Issue 3 https://doi.org/10.1130/0091-7613(1996)024<0275:STAAFR>2.3.CO;2	journal	January 1996

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