Free and moving boundary problems, 1984. ,
A front-tracking method for viscous, incompressible, multi-fluid flows, Journal of Computational Physics, vol.100, issue.1, pp.25-370021, 1016. ,
DOI : 10.1016/0021-9991(92)90307-K
Large-scale rigid-body rotation in the mantle wedge and its implications for seismic tomography DOI 10, Q05, p.18, 1029. ,
A cell-by-cell thermally driven mushy cell tracking algorithm for phase-change problems, Computational Mechanics, vol.38, issue.2, pp.201-216, 2007. ,
DOI : 10.1007/s00466-006-0098-x
A comparison of methods for the modeling of thermochemical convection DOI 10, Physics of Fluids A, vol.102, issue.22, pp.477-22496, 1029. ,
Level set methods and fast marching methods, 1999. ,
Level Set Methods: An Overview and Some Recent Results, Journal of Computational Physics, vol.169, issue.2, pp.463-502, 2001. ,
DOI : 10.1006/jcph.2000.6636
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.552
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, Journal of Computational Physics, vol.114, issue.1, pp.146-1591155, 1994. ,
DOI : 10.1006/jcph.1994.1155
Computing interface motion in compressible gas dynamics, Journal of Computational Physics, vol.100, issue.2, pp.209-2280021, 1016. ,
DOI : 10.1016/0021-9991(92)90229-R
A fast marching method for reservoir simulation, Computational Geosciences, vol.4, issue.2, pp.185-2061011564017218, 2000. ,
DOI : 10.1023/A:1011564017218
Reservoir description using a binary level set model, Computing and Visualization in Science, vol.1, issue.1, pp.791-799, 2008. ,
DOI : 10.1007/s00791-008-0121-1
Numerical modelling of tectonic plates subduction using X-FEM, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.41-44, pp.41-44, 2007. ,
DOI : 10.1016/j.cma.2007.04.006
Modelling gravitational instabilities: slab break-off and Rayleigh-Taylor diapirism, Pure and Applied Geophysics, vol.165, pp.1-20, 2008. ,
3-D traveltime computation using the fast marching method, GEOPHYSICS, vol.64, issue.2, pp.516-523, 1999. ,
DOI : 10.1190/1.1444558
Level-set function approach to an inverse interface problem DOI 10, Inverse Problems, vol.17175, issue.5, pp.1225-12420266, 1088. ,
A level set method for inverse problems, Inverse Problems, vol.17, issue.5, pp.1327-1355307, 2001. ,
DOI : 10.1088/0266-5611/17/5/307
A survey on level set methods for inverse problems and optimal design, European Journal of Applied Mathematics, vol.16, issue.2, pp.263-301, 2005. ,
DOI : 10.1017/S0956792505006182
On the modelling of piping erosion, Comptes Rendus M??canique, vol.334, issue.8-9, pp.555-559, 2006. ,
DOI : 10.1016/j.crme.2006.07.003
Investigation of Rate of Erosion of Soils in Embankment Dams, Journal of Geotechnical and Geoenvironmental Engineering, vol.130, issue.4, pp.373-3801090, 2004. ,
DOI : 10.1061/(ASCE)1090-0241(2004)130:4(373)
Laboratory tests on the rate of piping erosion of soils in embankment dams, Geotechnical Testing Journal, vol.27, issue.3, pp.1-9, 2004. ,
Hierarchical X-FEM for n-phase flow, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.30-32, pp.30-32, 2009. ,
DOI : 10.1016/j.cma.2009.02.025
Les Fontaines Publiques de la Ville de Dijon, 1856. ,
Introduction to mmodeling of transport phenomena in porous media, Theory and Applications of Transport in Porous Media, p.136, 1999. ,
Resistance of soils to concentrated flow erosion: A review, Earth-Science Reviews, vol.80, issue.1-2, pp.75-109, 2007. ,
DOI : 10.1016/j.earscirev.2006.08.001
Hydro-mechanical aspects of the sand production problem, Transport in Porous Media, vol.44, issue.3, pp.225-244, 1996. ,
DOI : 10.1007/BF01143517
Sand erosion in axial flow conditions, Transport in Porous Media, pp.267-2801012035031463, 2001. ,
Flow Detachment by Concentrated Flow on Smooth and Irregular Beds, Soil Science Society of America Journal, vol.66, issue.5, pp.1475-1483, 2002. ,
DOI : 10.2136/sssaj2002.1475
Method to predict cropland ephemeral gully erosion, CATENA, vol.37, issue.3-4, pp.393-399, 1999. ,
DOI : 10.1016/S0341-8162(99)00028-4
Stochastic components in the gully erosion modelling, CATENA, vol.63, issue.2-3, pp.299-317, 2005. ,
DOI : 10.1016/j.catena.2005.06.007
Finite Element Methods for Flow Problems, 2003. ,
DOI : 10.1002/0470013826
The Fast Construction of Extension Velocities in Level Set Methods, Journal of Computational Physics, vol.148, issue.1, pp.2-226090, 1998. ,
DOI : 10.1006/jcph.1998.6090
A Remark on Computing Distance Functions, Journal of Computational Physics, vol.163, issue.1, pp.51-67, 2000. ,
DOI : 10.1006/jcph.2000.6553
A Viscosity Solutions Approach to Shape-From-Shading, SIAM Journal on Numerical Analysis, vol.29, issue.3, pp.867-884, 1992. ,
DOI : 10.1137/0729053
Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach, Computational Mechanics, vol.29, issue.4, pp.579-591, 2008. ,
DOI : 10.1007/s00466-008-0283-1
URL : https://hal.archives-ouvertes.fr/hal-00276800
An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites, Computational Mechanics, vol.71, issue.1, pp.119-131, 2008. ,
DOI : 10.1007/s00466-008-0241-y
URL : https://hal.archives-ouvertes.fr/hal-00692238
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows, SIAM Journal on Numerical Analysis, vol.45, issue.4, pp.1679-1700, 2007. ,
DOI : 10.1137/060667530
Stability of incompressible formulations enriched with X-FEM, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.21-24, pp.21-24, 2008. ,
DOI : 10.1016/j.cma.2007.08.032
URL : https://hal.archives-ouvertes.fr/hal-01007317
Dams, barrages and weirs on porous foundations, Engineering News, vol.64, p.708, 1910. ,
Security from under-seepage masonry dams on earth foundations. Transaction of the ASCE, pp.1235-1351, 1935. ,
Mathematical Model for Piping, Journal of Geotechnical Engineering, vol.118, issue.6, pp.943-946, 1992. ,
DOI : 10.1061/(ASCE)0733-9410(1992)118:6(943)
Determination of Critical Head in Soil Piping, Journal of Hydraulic Engineering, vol.129, issue.7, pp.511-5180733, 2003. ,
DOI : 10.1061/(ASCE)0733-9429(2003)129:7(511)
The scaling law in the hole erosion test with a constant pressure drop, International Journal for Numerical and Analytical Methods in Geomechanics, vol.80, issue.2, pp.1573-1595, 2008. ,
DOI : 10.1002/nag.683
URL : https://hal.archives-ouvertes.fr/hal-00305364
One-dimensional modeling of piping flow erosion, Comptes Rendus M??canique, vol.336, issue.9, pp.731-736, 2008. ,
DOI : 10.1016/j.crme.2008.06.007
URL : https://hal.archives-ouvertes.fr/hal-00979078
Investigating internal erosion using a miniature resistivity array, NDT & E International, vol.39, issue.2, pp.169-174, 2006. ,
DOI : 10.1016/j.ndteint.2004.12.009