Open Access Open Access  Restricted Access Subscription or Fee Access

Micromechanical Analysis of Compaction and Drilling of Granular Media- A Review

Onuora Okorie

Abstract


Granular matter is ubiquitous in our daily life yet far from completely understood. These granular materials have constituted a class of complex systems which exhibit global behaviors been reminiscent of solids, liquids, gases, or otherwise uniquely their own. The key to achieve good properties lies in the material structure from the molecules, via structures on nano- and micro levels to the macroscopic material. This paper also reviewed selected approaches and models that have been developed for granular media prediction. However, development of new approaches at the micro and nano scales to sense the stress distribution characteristics of complex rock media, especially the grounds bearing petroleum resources of Nigeria has been of vital concern/importance to the area of petroleum drilling and exploration. By conducting such fundamental level research, development of highly efficient drilling processes with potentially much less energy inputs and minimizing the carbon blue prints is the best approach.

Keywords: Micromechanical, Compaction, Granular media, Numerical Modeling Methods,
Drilling

Full Text:

PDF

References


Abdoulaye Hama, N., Ouahbi, T., Taibi, S., Souli, H., Fleureau, J.M., and Pantet, A. (2016): Analysis of mechanical behavior and internal stability of granular materials using discrete element method. International Journal for Numerical and Analytical Methods in Geomechanics. 40: 1712-1729.

AbuAisha, M., Eaton, D., Priest, J., and Wong, R. (2017): Hydro-mechanically coupled FDEM framework to investigate near-wellbore hydraulic fracturing in homogeneous and fractured rock formations. Journal of Petroleum Science and Engineering. 154: 100-113

Albaraki, S., Antony, S.J., and Arowosola, C. (2013): Visualising shear stress distribution inside flow geometries containing pharmaceutical powder excipients using photo stress analysis tomography and DEM simulations. Proc. AIP 1542, 706–709.

Alsaleh, M., Chang, S.C., Daouadji, A., Shamy, U.E., Hattab, M., Hicher, P.Y., Kuhn, M.R., Ji, S., Li, B., Misra, A., Roux, J.N., Tordesillas, A., Yang, X., Yin, Z.Y., Yon, Z., Zeghal, M., Zhao, J. (2015): Recent trends in granular materials. ResearchGate, DOI:10.13140/RG.2.1.2212.9128

Antolini, F., Barla, M., Gigli, G., and Giorgetti, A. (2016): Combined finite–discrete numerical modeling of runout of the torgiovannetto di assisi rockslide in Central Italy. International Journal of Geomechanics. 16(6), 1-16.

Antony, S.J. (2000): Evolution of force distribution in three-dimensional granular media. Phys. Rev. E 63(1), 011302.

Antony, S.J. (2007): Link between single-particle properties and microscopic properties in particulate assemblies: role of structures within structures. Phil. Trans. R. Soc. A 365(1861), 2879–2891.

Antony, S.J. and Kruyt, N.P. (2009): Role of interparticle friction and particle scale elasticity in sheared strength mechanism of three-dimensional granular media,” Phys. Rev. E 79(3 Pt 1), 031308 .

Antony, S.J. and Kuhn, R.M. (2004): Influence of particle shape on granular contact signatures and shear strength: new insight from simulations, Int. J. Solids Struct. 41(21), 5863–5870.

Antony, S.J., and Chapman, D. (2010): Probing shear stress distribution within single particle scale inside particulate packing. KONA Powder Part. J. 28, 180–188.

Antony, S.J., Arowosola, B., Richter, L.,Amanbayer, T., and Barakat, T. (2016): Modelling the flow behaviour of granular media through the dosing station of a spacecraft under low gravitational environments. ASCE Earth and Space Conference Proceedings, 11-15

Antony, S.J., Imafidon, O., and Barakat, T. (2015): Micromechanical analysis of inclusions in particulate media using digital photo stress analysis. Optical Engineering, 54(8): 081202

Apostolou, K.; Hrymak, A.N. (2008): Discrete element simulation of liquid-particle flows. Comput. Chem. Eng., 32, 841–856

Bao-Liang, G., Qing-Fan, S., Chand, R., Jian-Feng, H. and Shao-Peng, M. (2013): The nature of stresses in a giant static granular column. Chin. Phys. Lett. 30(4):048101. DOI: 10.1088/0256-307X/30/4/048101

Barton, N. (1976): The shear strength of rock and rock joints. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts; 13(9):255–79.

Barton, N. (2013): Shear strength criteria for rock, rock joints, rockfill and rock masses: Problems and some solutions. Journal of Rock Mechanics and Geotechnical Engineering. 5(4):249-261.

Barton, N., Lien, R., Lunde, J. (1974): Engineering classification of rock masses for the design of tunnel support. Rock Mechanics; 6(4):189–236.

Belheine, N., Plassiard, J.P., Donzé, F.V., Darve, F., and Seridi, A. (2009): Numerical simulation of drained triaxial test using 3D discrete element modeling. Computers and Geotechnics, 36(1),320–331.

Boton, M., Estrada, N., Azema, E., Radjai, F., and Lizcano, A. (2015): Rheology and micromechanical analysis of granular media composed of platy particles: A step toward the DEM simulation of clayey soil. Fundamentals to Application in Geotechnics. DOI:10.3233/978-1-61499-603-3-1357.

Cai, Y.Y., Yu, J., and Chen, X. (2015): Experimental investigation of particle contact laws for discrete element model of granular materials. Journal of Materials Research Innovations, 19: S5-267-S5-272).

Chen, Q., Jiang, Z.W., Yang, Z.H., et al., (2016):“Differential-scheme based micromechanical framework for saturated concrete repaired by the electrochemical deposition method,” Materials and Structures, 49(12): 5183–5193.

Chen, Q., Zhu, H.H., Yan, Z.G., Ju, J.W., Deng, T., and Zhou, S. (2015):“Micro-scale description of the saturated concrete repaired by electrochemical deposition method based on self-consistent method,” Chinese Journal of Theoretical and Applied Mechanics, 47(2): 367–371.

Daniel, K., Dag, K.D., and Bjorn, J. (2016): Compaction of northsea chalk by pore-failure and pressure solution in a producing reservoir: Frontiers Journal. http://doi.org/10.3389/fphy.2016.00004

Duriez, J. and Wan, R. (2016): Stress in wet granular media with interfaces via homogenization and discrete element approaches. J. Eng. Mech. DOI:10.1061/(ASCE)EM.1943-7889.0001163

Duriez, J., Eghbalian, M., Wan, R., Darve, F. (2016): The micromechanical nature of stresses in triphasic granular media with interfaces: Journal of the Mechanics and Physics of Solids. 99:495-511

Fenga, H.; Pettinari, M.; Hofko, B.; Stang, H. (2015): Study of the internal mechanical response of an asphalt mixture by 3D discrete element modeling. Constr. Build. Mat., 77, 187–196.

Fredrich, J.T., Deitrick, G.L., Arguello, J.G., and de Rouffignac, E.P. (1998) Reservoir Compaction, Surface Subsidence, and Casing Damage: A Geomechanics Approach to Mitigation and Reservoir Management. In Eurock- Rock Mechanics in Petroleum Engineering, 403-412, SPE/ISRM 47284.

Gholami, R., Moradzadeh, A., Rasouli, V., Hanachi, J. (2014): Practical application of failure criteria in determining safe mud weight windows in drilling operations. Journal of Rock Mechanics and Geotechnical Engineering. 6(1): 13-25.

Gong, J. and Liu, J. (2015): Analysis on the mechanical behaviors of soil-rock mixtures using discrete element method. Procedia Engineering, 102: 1783-1792

Guo, Y.; Curtis, J.S. (2015): Discrete Element Method Simulations for Complex Granular Flows. Annu. Rev. Fluid Mech. 47: 21–46.

Hamdi, P., Stead, D., Elmo, D. (2014): Damage Characterization during Laboratory Strength testing: a 3D-finite-discrete element approach. Comput. Geotech. 60: 33-46

Han, Y. and Cundall, P.A. (2013): LBM-DEM modeling of fluid-solid interaction in porous media. Int. J. Numer. Anal. Methods Geomech., 37, 1391–1407.

Harthong, B., Jérier, J.F., Dorémus, P., Imbault, D., and Donzé, F.V. (2009): Modeling of high-density compaction of granular materials by the Discrete Element Method. Int. J. Solids Struct., 46, 3357–3364.

Jiang, Y., and Liu, M. (2017): Why granular media are thermal, and quite normal, after all. European Physical Journal E., 40:10.

Joulin C., Xiang J., Latham J.P., Pain C. (2017): A new finite-discrete element approach for heat transfer in complex shaped multi-bodied contact problems. In: Li X., Feng Y., Mustoe G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore

Kazerani, T. (2013): A discontinuum-based model to simulate compressive and tensile failure in sedimentary rock. Journal of Rock Mechanics and Geotechnical Engineering. 5:378-388.

Keszthelyi, D., Dysthe, D.K., and Jamtveit, B. (2016): Compaction of North-Sea Chalk by Pore-Failure and Pressure Solution in a Producing Reservoir. Front. Phys. 4:4. doi: 10.3389/fphy.2016.00004

Kruyt, N.P., and Rothenburg, L. (2014): On micromechanical characteristics of the critical state of two-dimensional granular materials. Acta Mech. 225:2301-2318.

Kumar, N., Imole, I., Magnanimo, V. and Luding, S. (2013): Effects of polydispersity on the micro-macro behavior of granular assemblies under different deformation paths. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.728.3463&rep=rep1&type=pdf

Lisjak, A. and Grasselli, G. (2014): A review of discrete modeling techniques for fracturing processes in discontinuous rock masses. Journal of Rock Mechanics and Geotechnical Engineering. 6(4): 301-314.

Lisjak, A., Tatone, B.S.A., Mahabadi, O.K., Grasselli, G., et al. (2015): Hybrid finite-discrete element simulation of the EDZ formation and mechanical sealing process around a microtunnel in Opalinus Clay. Rock Eng. DOI: 10.1007/s00603-015-0847-2.

Liu, J.; Sun, Q.; Jina, F.; Liu, Q. (2014): Studies on structural and mechanical properties under isostatic compression with large-scale discrete element simulations. Acta Mech. Solida Sin., 27, 129–136.

Lumay, G., Dorbolo, S. & Vandewalle, N. 2009. Compaction dynamics of a magnetized powder. Physical Review E, 80, 041302.

Ma, J. (2015a): Review of permeability evolution model for fractured porous media. Journal of Rock Mechanics and Geotechnical Engineering. DOI: 10.1016/j.jrmge.2014.12.003

Ma, J. (2015b): An elastoplastic model for partially saturated collapsible rocks. Rock Mech. Rock Eng. DOI: 10.1007/s00603-015-0751-9

Mahabadi, O.K., Lisjak, A., Munjiza, A., Grasselli, G. (2012). Y-geo: a new combined finite-discrete element numerical code for geomechanical applications. Int. J. Geomech. 12(6), 676-688

Majidi, B., Taghavi, S.M., Fafard, M., Ziegler, D.P., and Alamdari, H. (2016): Discrete element method modeling of the rheological properties of cake/pitch mixtures. Materials, 9, 334, doi:10.3390/ma9050334

Majmudar, T.S., Sperl, M., Luding, S., and Behringer, R.P. (2007): Jamming transition in granular systems. Phys. Rev. Lett. 98(5), 058001.

Marigo, M., and Stitt, E.H. (2015): Discrete element method (DEM) for industrial applications: Comments on calibration and validation for the modeling of cylindrical pellets. KONA Powder and Particle Journal, 32:236-252/Doi: 10.14356/kona.2015016

Marketos, G., and Bolton, M.D., (2005): Compaction bands as observed in DEM Simulations. Powders and Grains- Garcia-Rojo, Herrmann and McNamara (eds.): 1405-1408.

Marketos, G., Bolton, M.D. (2009): Compaction bands simulated in Discrete Element Models. J. Struct. Geol., 31, 479–490.

Mirghasemi, A.A. and Naeij, M. (2015): The Effect of Initial Elongation of Elliptical Particles on Macro-Micromechanical Behavior during Direct Shear Test. Procedia Engineering 102, 1476-1483.

Nguyen, T. K., Combe, G., Caillerie, D. & Desrues, J. 2014. FEM × DEM modelling of cohesive granular materials: Numerical homogenisation and multi-scale simulations. Acta Geophysica, 62, 1109-1126.

Nikolic, M., Roje-Bonacci, T., Ibrahimbegovic, A. (2016): Overview of the Numerical Methods for the Modeling of Rock Mechanics Problems. Tehnicki Vjesnik 23(2): 627-637.

Qiujiao, D., Wei, S. and Zuoxun, Z. (2016): Stress-Strain Sensor for monitoring seismic precursors and fault activities in the sand. Proc. SPIE 9803, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace System, 980353: doi:10.1117/12.2239334

Rahmati, H., Jafarpour, M., Azadbakht, S., Nouri, A., Vaziri, H., Chan, D., and Xiao, Y. (2013): Review of sand production prediction models. Journal of Petroleum Engineering. http://dx.doi.org/10.1155/2013/864981.

Remy, B., Khinast, J.G., Glasser, B.J. (2011): Polydisperse granular flows I, a blader mixer: experiments and simulations of cohesionless spheres. Chem. Eng. Sci. 66: 1811-1824.

Scholtes, L., Chareyre, B., Nicot, F., and Darve, F. (2009): Micromechanics of granular materials with capillary effects. Int. J. Eng. Sci. 47(1), 64–75.

Shafipour, R. and Soroush, A. (2008) Fluid Coupled-DEM Modelling of Undrained Behaviour of Granular Media. Computers and Geotechnics, 35, 673-685. http://dx.doi.org/10.1016/j.compgeo.2007.12.003

Singh, M., Raj, A., Singh, B. (2011): Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks. International Journal of Rock Mechanics and Mining Sciences; 48(4):546–55.

Singh, M., Singh, B. (2012): Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks. International Journal of Rock Mechanics and Mining Sciences; 51(1):43–52.

Sitharam, T.G. and Nimbkar, M.S. (2000): Micromechanical modeling of granular materials: Effect of particle size and gradation. Geotechnical and Geological Engineering. 18(2): 91-117.

Voivret, C., Radja¨ı, F., Delenne, J. Y., & El Youssoufi, M. S. (2009): Multiscale Force Networks in Highly Polydisperse Granular Media. Phys. Rev. Lett., 102 (17).

Xia, K., Yao, W. (2015): Dynamic rock tests using split Hopkinson (Kolsky) bar system- A review. Journal of Rock Mechanics and Geotechnical Engineering. 7(1): 27-59.

Yoon, J.(2007) “Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation,” International Journal of Rock Mechanics and Mining Sciences, 44(6): 871–889

Zhang, J. and Yang, J. (2013): Advances in micromechanical constitutive theories and modeling in asphalt mixture: A review. Procedia-Social and Behavioral Sciences, 96:1304-1314

Zhiqiang, C., Chiyu, X., Yu, C. and Moran, W. (2016): Bonding strength effects in hydro-mechanical coupling transport in granular porous media by pore-scale modeling. Computation Journal. 4(1),15; doi:10.3390/computation4010015

Zhou, B., Huang, R., Wang, H. and Wang, J. (2013): DEM investigation of particle anti-rotation effects on the micromechanical response of granular material. DOI 10.1007/s10035-013-0409-9

Zhou, F., Advani, S.G., Wetzel, E.D. (2005): Slow drag in polydisperse granular mixture under high pressure. Phys. Rev. E, 71:06304.

Zhu, W. and Wong, T.F. (1997): The Transition from Brittle Faulting to Cataclastic Flow: Permeability Evolution. J. Geophys. Res., 102, 3027-3041.


Refbacks

  • There are currently no refbacks.