A methodology to calibrate and to validate effective solid potentials of heterogeneous porous media from computed tomography scans and laboratory-measured nanoindentation data

作者: Siavash Monfared , Hadrien Laubie , Farhang Radjai , Mija Hubler , Roland Pellenq

DOI: 10.1007/S11440-018-0687-9

关键词:

摘要: Built on the framework of effective interaction potentials using lattice element method, a methodology to calibrate and validate elasticity solid constituents in heterogeneous porous media from experimentally measured nanoindentation moduli imported scans advanced imaging techniques is presented. Applied computed tomography (CT) two organic-rich shales, spatial variations prove instrumental capturing elastic behavior highly materials via first cumulants distributions moduli. After calibration validation steps while implicitly accounting for mesoscale texture effects CT scans, Biot poroelastic coefficients are simulated. Analysis stress percolation suggests contrasting pathways load transmission, reflection microtextural differences studied cases. This energy content real experimental measurements paves way study other phenomena such as wave propagation fracture providing platform fine-tune given advancements additive manufacturing machine learning algorithms .

参考文章(60)
Ekkehart Kr�ner, Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls European Physical Journal. ,vol. 151, pp. 504- 518 ,(1958) , 10.1007/BF01337948
Dietrich H. Welte, Bernard P. Tissot, Petroleum Formation and Occurrence ,(1989)
Tapan Mukerji, Jack Dvorkin, Gary Mavko, The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media ,(2011)
S.A. Silling, R.B. Lehoucq, Peridynamic Theory of Solid Mechanics Advances in Applied Mechanics. ,vol. 44, pp. 73- 168 ,(2010) , 10.1016/S0065-2156(10)44002-8
Klaus-Jürgen Bathe, Finite Element Procedures ,(1995)
Mehran Kardar, Statistical physics of particles ,(2007)
Franz-Josef Ulm, Matthieu Vandamme, Chris Bobko, Jose Alberto Ortega, Kuangshin Tai, Christine Ortiz, Statistical indentation techniques for hydrated nanocomposites: concrete, bone, and shale Journal of the American Ceramic Society. ,vol. 90, pp. 2677- 2692 ,(2007) , 10.1111/J.1551-2916.2007.02012.X
A. Deirieh, J. A. Ortega, F.-J. Ulm, Y. Abousleiman, Nanochemomechanical assessment of shale: a coupled WDS-indentation analysis Acta Geotechnica. ,vol. 7, pp. 271- 295 ,(2012) , 10.1007/S11440-012-0185-4