Pore Geometry Characterization by Persistent Homology Theory

[1]  Peyman Mostaghimi,et al.  Insights into non-Fickian solute transport in carbonates , 2013, Water resources research.

[2]  W. B. Lindquist,et al.  Pore and throat size distributions measured from synchrotron X-ray tomographic images of Fontaineble , 2000 .

[3]  N. Otsu.  A threshold selection method from gray level histograms , 1979 .

[4]  J. C. Losada,et al.  Multiscaling of porous soils as heterogeneous complex networks , 2008 .

[5]  Gary Mavko,et al.  The effect of a percolation threshold in the Kozeny‐Carman relation , 1997 .

[6]  Afra Zomorodian,et al.  Computing Persistent Homology , 2005, Discret. Comput. Geom..

[7]  Hans-Jörg Vogel,et al.  Quantitative morphology and network representation of soil pore structure , 2001 .

[8]  Gunther H. Weber,et al.  Augmented Topological Descriptors of Pore Networks for Material Science , 2012, IEEE Transactions on Visualization and Computer Graphics.

[9]  F. Stillinger,et al.  Modeling heterogeneous materials via two-point correlation functions. II. Algorithmic details and applications. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Takeshi Tsuji,et al.  Changes in pore geometry and relative permeability caused by carbonate precipitation in porous media. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Y. Hiraoka,et al.  Pore configuration landscape of granular crystallization , 2017, Nature Communications.

[12]  Konstantin Mischaikow,et al.  Morse Theory for Filtrations and Efficient Computation of Persistent Homology , 2013, Discret. Comput. Geom..

[13]  Jacek Tejchman,et al.  Modelling of fracture process in concrete using a novel lattice model , 2008 .

[14]  A Hirata,et al.  Geometric Frustration of Icosahedron in Metallic Glasses , 2013, Science.

[15]  G. Carlsson,et al.  Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival , 2011, Proceedings of the National Academy of Sciences.

[16]  Hans-Jörg Vogel,et al.  A new approach for determining effective soil hydraulic functions , 1998 .

[17]  C A Gilligan,et al.  Prominent effect of soil network heterogeneity on microbial invasion. , 2012, Physical review letters.

[18]  M. Ourak,et al.  Influence of porosity on Young's modulus and Poisson's ratio in alumina ceramics , 2001 .

[19]  O Rozenbaum,et al.  Representative elementary volume assessment of three-dimensional x-ray microtomography images of heterogeneous materials: application to limestones. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  David W. Scott,et al.  Multivariate Density Estimation and Visualization , 2012 .

[21]  Mohammad Saadatfar,et al.  Percolating length scales from topological persistence analysis of micro‐CT images of porous materials , 2016 .

[22]  R. Forman.  Morse Theory for Cell Complexes , 1998 .

[23]  Anna Suzuki,et al.  Mathematical Modeling of Rock Pore Geometry and Mineralization: Applications of Persistent Homology and Random Walk , 2016 .

[24]  T. Tsuji,et al.  Numerical investigations on the effect of initial state CO2 topology on capillary trapping efficiency , 2016 .

[25]  Konstantin Mischaikow,et al.  Extensive scaling from computational homology and Karhunen-Loève decomposition analysis of Rayleigh-Bénard convection experiments. , 2011, Physical review letters.

[26]  Zhangwei Chen,et al.  Microstructural characteristics and elastic modulus of porous solids , 2015 .

[27]  T. Sølling,et al.  Characterization of petrophysical properties using pore-network and lattice-Boltzmann modelling: Choice of method and image sub-volume size , 2016 .

[28]  E. Boek,et al.  Micro-computed tomography pore-scale study of flow in porous media: Effect of voxel resolution , 2016 .

[29]  H. Edelsbrunner,et al.  Persistent Homology — a Survey , 2022 .

[30]  Tapan Mukerji,et al.  Digital rock physics benchmarks - Part I: Imaging and segmentation , 2013, Comput. Geosci..

[31]  Martin J Blunt,et al.  Pore-network extraction from micro-computerized-tomography images. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  W. B. Lindquist,et al.  Medial axis analysis of void structure in three-dimensional tomographic images of porous media , 1996 .

[33]  M. Blunt,et al.  Network extraction from sandstone and carbonate pore space images , 2007 .

[34]  Emerson G. Escolar,et al.  Hierarchical structures of amorphous solids characterized by persistent homology , 2015, Proceedings of the National Academy of Sciences.

[35]  Zhaobin Zhang,et al.  Pore network extraction from pore space images of various porous media systems , 2017 .

[36]  Gunnar E. Carlsson,et al.  Topology and data , 2009 .

[37]  H. Tokuyama,et al.  Effective stress and pore pressure in the Nankai accretionary prism off the Muroto Peninsula, southwestern Japan , 2008 .

[38]  Emerson G. Escolar,et al.  Persistent homology and many-body atomic structure for medium-range order in the glass , 2015, Nanotechnology.