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ref.bib
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title={Finite element-based characterization of pore-scale geometry and its impact on fluid flow},
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publisher={National Acad Sciences}
}
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publisher={Cambridge University Press}
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publisher={Elsevier}
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year={2017},
publisher={Wiley Online Library}
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pages={064501},
year={2013},
publisher={APS}
}
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author = {Holger Steeb and Stefan Diebels and Ioannis Vardoulakis },
title = {Modeling Internal Erosion in Porous Media},
booktitle = {Computer Applications In Geotechnical Engineering},
chapter = {},
pages = {1-10},
abstract = { Internal erosion processes in geomaterials like fluid-saturated sand-gravel layers play a significant role in geotechnical and petroleum engineering. We suggest a general modeling framework within such a solid-liquid phase transition phenomenon can be described. The phenomenological continuum-based model is formulated within the thermodynamically-consistent Theory of Porous Media. The mixture consists of four constituents. Furthermore, mass exchange between a solid and a liquid phase is taken into account. The hydromechanically-driven erosion process is mainly described by the constitutive equation of mass production. The degradation of the stiffness of the solid skeleton is taken into account by a damage-like behavior. }
}
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title={Channelization in porous media driven by erosion and deposition},
author={J{\"a}ger, Robin and Mendoza, Miller and Herrmann, Hans J{\"u}rgen},
journal={Physical Review E},
volume={95},
number={1},
pages={013110},
year={2017},
publisher={APS}
}
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title={Sculpting of an erodible body by flowing water},
author={Ristroph, Leif and Moore, Matthew NJ and Childress, Stephen and Shelley, Michael J and Zhang, Jun},
journal={Proceedings of the National Academy of Sciences},
volume={109},
number={48},
pages={19606--19609},
year={2012},
publisher={National Acad Sciences}
}
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title={Investigation of rate of erosion of soils in embankment dams},
author={Wan, Chi Fai and Fell, Robin},
journal={Journal of Geotechnical and Geoenvironmental Engineering},
volume={130},
number={4},
pages={373--380},
year={2004},
publisher={American Society of Civil Engineers}
}
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title={Network model evaluation of permeability and spatial correlation in a real random sphere packing},
author={Bryant, Steven L and King, Peter R and Mellor, David W},
journal={Transport in Porous Media},
volume={11},
number={1},
pages={53--70},
year={1993},
publisher={Springer}
}
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title={Physically representative network models of transport in porous media},
author={Bryant, Steven L and Mellor, David W and Cade, Christopher A},
journal={AIChE Journal},
volume={39},
number={3},
pages={387--396},
year={1993},
publisher={Wiley Online Library}
}
@article{marot2012study,
title={Study of scale effect in an internal erosion mechanism: centrifuge model and energy analysis},
author={Marot, Didier and Le, Van Duong and Garnier, Jacques and Thorel, Luc and Audrain, Philippe},
journal={European Journal of Environmental and Civil Engineering},
volume={16},
number={1},
pages={1--19},
year={2012},
publisher={Taylor \& Francis}
}
@article{sibille2015internal,
title={Internal erosion in granular media: direct numerical simulations and energy interpretation},
author={Sibille, Luc and Lomin{\'e}, Franck and Poullain, Philippe and Sail, Yacine and Marot, Didier},
journal={Hydrological Processes},
volume={29},
number={9},
pages={2149--2163},
year={2015},
publisher={Wiley Online Library}
}
@article{hu2013adaptation,
title={Adaptation and optimization of biological transport networks},
author={Hu, Dan and Cai, David},
journal={Physical Review Letters},
volume={111},
number={13},
pages={138701},
year={2013},
publisher={APS}
}
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title={Fluctuations and redundancy in optimal transport networks},
author={Corson, Francis},
journal={Physical Review Letters},
volume={104},
number={4},
pages={048703},
year={2010},
publisher={APS}
}
@article{ronellenfitsch2016global,
title={Global optimization, local adaptation, and the role of growth in distribution networks},
author={Ronellenfitsch, Henrik and Katifori, Eleni},
journal={Physical Review Letters},
volume={117},
number={13},
pages={138301},
year={2016},
publisher={APS}
}
@article{kramer1993localization,
title={Localization: theory and experiment},
author={Kramer, Bernhard and MacKinnon, Angus},
journal={Reports on Progress in Physics},
volume={56},
number={12},
pages={1469},
year={1993},
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