, Finite difference traveltime calculation for head waves travelling along an irregular interface, Geophysical Journal International, vol.143, issue.3, pp.729-734, 2000.
DOI : 10.1046/j.1365-246X.2000.00269.x
URL : http://gji.oxfordjournals.org/cgi/content/short/143/3/729
, Quantitative seismology : Theory and methods, 1980.
, Imagerie sismique en profondeur de données obc via la théorie des rais en milieu isotrope, 2002.
, CRP???scans from 3D pre???stack depth migration: A powerful combination of CRP???gathers and velocity scans, SEG Technical Program Expanded Abstracts 1996, pp.515-518, 1996.
DOI : 10.1190/1.1826689
, CRPscans : 3-D preSDM velocity analysis via zero-offset tomographic inversion, Expanded Abstracts 67th Annual International Meeting, pp.1805-1808, 1997.
, Constrained tomography of realistic velocity models in microseismic monitoring using calibration shots, Geophysical Prospecting, vol.55, issue.5, pp.739-753, 2010.
DOI : 10.1111/j.1365-2478.2010.00912.x
, A Compact Upwind Second Order Scheme for the Eikonal Equation, Journal of Computational Mathematics, vol.28, issue.4, pp.489-516
DOI : 10.4208/jcm.1003-m0014
, Solving the frequencydependent eikonal equation, chapitre 350, pp.1315-1319, 1992.
, Two and one???half dimensional Born inversion with an arbitrary reference, GEOPHYSICS, vol.52, issue.1, pp.26-36, 1987.
DOI : 10.1190/1.1442238
, Michelle Boué et Paul Dupuis. Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control, 1998.
, Anal, pp.667-695, 1998.
, Wave tracing: Ray tracing for the propagation of band-limited signals: Part 1 ??? Theory, GEOPHYSICS, vol.73, issue.5, pp.377-384, 2008.
DOI : 10.1190/1.2963514
, Two-point ray tracing in 3-D, Pure and Applied Geophysics PAGEOPH, vol.148, issue.3-4, pp.421-447, 1996.
DOI : 10.1007/BF00874574
, Sources of Primary and Secondary Microseisms, Bulletin of Seismological Soceity of America, vol.84, issue.1, pp.142-148, 1994.
, Ray theory and its extention : WKBJ and Maslov seismograms, J. Geophys, vol.58, issue.18, pp.27-43, 1985.
, Minimum traveltime calculation in 3-D graph theory, GEOPHYSICS, vol.61, issue.6, pp.1895-1898, 1996.
DOI : 10.1190/1.1444104
, Methods of Mathematical Physics. Numeéro v. 1 de Classics Library, 2008.
, A modification of Cagniard's method for solving seismic pulse problems, Applied Scientific Research, pp.349-356, 1960.
, Earthquakes induced by the stimulation of an enhanced geothermal system below Basel (Switzerland) Seismological Research Letters, pp.784-798, 2009.
, Mécanique des milieux continus. Dunod, pp.12-14, 1998.
, Wave front construction in smooth media for prestack depth migration, Pure and Applied Geophysics PAGEOPH, vol.58, issue.6, pp.481-502, 1996.
DOI : 10.1007/BF00874576
, Non-Linear Reflection Tomography, Geophysical Journal International, vol.95, issue.1, pp.135-147, 1988.
DOI : 10.1111/j.1365-246X.1988.tb00456.x
, Theory of elastic waves in crystal, 1968.
DOI : 10.1007/978-1-4757-1275-9
, Shortest path ray tracing with sparse graphs, GEOPHYSICS, vol.58, issue.7, pp.987-996, 1993.
DOI : 10.1190/1.1443489
, Fast sweeping method for the factored eikonal equation, Journal of Computational Physics, vol.228, issue.17, pp.6440-6455, 2009.
DOI : 10.1016/j.jcp.2009.05.029
, Inversion linéarisé multi-paramètres vie la théorie des rais, pp.13-20, 1996.
, Wave motion in elastic solids, 1975.
, JaTS : a fully portable seismic tomography software based on Fresnel wavepaths and a probabilistic reconstruction approach Computers & ; Geosciences (Cité en page 74.) tracing for heterogeneous, weakly transversely isotropic media, Geophysics, vol.30, issue.61, pp.925-935, 1996.
DOI : 10.1016/j.cageo.2004.06.009
, (Cité en page 54.) [Hole & Zelt 1995] J. A. Hole et B. C. Zelt. 3-D finite-difference reflection traveltimes, Imaging Salt With Turning Seismic Waves. Geophysics Geophys. J. Int, vol.57, issue.34, pp.1453-1462, 1992.
, Three-dimensional seismic ray tracing, J. Geophys, vol.43, pp.95-113, 1977.
, Mathematical Theory of Elastic Structures, pp.14-21, 1981.
DOI : 10.1007/978-3-662-03286-2
, Lax???Friedrichs sweeping scheme for static Hamilton???Jacobi equations, Journal of Computational Physics, vol.196, issue.1, pp.367-391, 2004.
DOI : 10.1016/j.jcp.2003.11.007
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.8716
, Fast Sweeping Methods for Static Hamilton--Jacobi Equations, SIAM Journal on Numerical Analysis, vol.42, issue.6, pp.2612-2632, 2005.
DOI : 10.1137/S0036142902419600
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.2553
, Karavstov et Y. Orlov. Caustics catastrophes and wavefields, 1993.
, Karavtsov et Y. Orlov. Geometrical optics of inhomogeneous media, 1990.
, Noe's tutorial on deforming 3D geometry using RBFsdeforming-geometry-using-radial-basis- functions, 2009.
, Wavefront-oriented ray tracing in 3-D anisotropic media, Expanded Abstracts. 65th Conference & Technical Exhibition, pp.2003-2007, 2003.
, Rapid and Accurate Two-Point Ray Tracing Based on a Quadratic Equation of Takeoff Angle in Layered Media with Constant or Linearly Varying Velocity Functions, Bulletin of the Seismological Society of America, vol.92, issue.6, pp.2251-2263, 2002.
DOI : 10.1785/0120000059
, 3-D traveltime computation using second???order ENO scheme, GEOPHYSICS, vol.64, issue.6, pp.1867-1876, 1999.
DOI : 10.1190/1.1444693
, Symes et Maissa A. El Mageed. 3-D Kirchhoff migration using finite difference traveltimes and amplitudes. The Rice Inversion Project annual report, 1997.
, 3???D eikonal solvers: First???arrival traveltimes, GEOPHYSICS, vol.67, issue.4, pp.1225-1231, 2002.
DOI : 10.1190/1.1500384
, Elastic Wave Propagation in Homogeneous and Inhomogeneous Media, The Journal of the Acoustical Society of America, vol.31, issue.6, pp.694-705, 1959.
DOI : 10.1121/1.1907775
, HYPOELLIPSE/VERSION 1.0 : A computer program for determining local earthquake hypocentral parameters, magnitude and first motion pattern,(Y2K compliant version), US Geological Survey Open-File Report, vol.99, p.23, 1999.
, Two-Dimensional Multivalued Traveltime and Amplitude Maps By Uniform Sampling of A Ray Field, Geophysical Journal International, vol.125, issue.2, pp.584-598, 1996.
DOI : 10.1111/j.1365-246X.1996.tb00021.x
, Topography-dependent eikonal equation and its solver for calculating first-arrival traveltimes with an irregular surface, Geophysical Journal International, vol.193, issue.2, pp.2013-201
DOI : 10.1093/gji/ggt036
, Improving modelling and inversion in refraction seismics with a first-order Eikonal solver, Geophysical Prospecting, vol.78, issue.3, pp.437-454, 2000.
DOI : 10.1190/1.1443252
, Finite difference calculation of first traveltimes in anisotropic media, Geophysical Journal International, vol.113, issue.2, pp.318-342, 1993.
DOI : 10.1111/j.1365-246X.1993.tb00890.x
, Numerical properties of cubed sphere meshes in wavefront construction, SEG Technical Program Expanded Abstracts 2003, pp.1793-1796, 2003.
DOI : 10.1190/1.1817661
, Hypo71 (revised) : a computer program for determining hypocenter, magnitude, and first motion pattern of local earthquakes, 1975.
, Comparison of six different methods for calculating traveltimes, Geophysical Prospecting, vol.78, issue.3, pp.269-297, 1999.
DOI : 10.1190/1.1443499
, Probabilistic Earthquake Location in 3D and Layered Models, pp.101-134, 2000.
DOI : 10.1007/978-94-015-9536-0_5
, Influence of forward modelling in locating earthquakes in three-dimensional media : Application to the Durance Network in the South of France, American Geophysical Union, 1997.
, Probabilistic, grid-search earthquake location in three-dimensional media : Application to the Durance Network in the South of France, Shalheveth Freier 1st Intl. Workshop on Advanced Methods in Seismic Analysis, 1998.
, A treatise on mathemathical theory of elasticity, 1927.
, 3D multivalued travel time and amplitude maps, Cité en pages 3, [Luo & Qian 2011] Songting Luo et Jianliang Qian, pp.449-479, 1996.
DOI : 10.1007/BF00874575
, Songting Luo et Jianliang Qian Fast sweeping methods for factored anisotropic eikonal equations : multiplicative and additive factors, Journal of Scientific Computing, pp.1-23, 2012.
DOI : 10.1007/s10915-011-9550-y
, Higher-order schemes for 3D first-arrival traveltimes and amplitudes, GEOPHYSICS, vol.77, issue.2, pp.47-56, 2012.
DOI : 10.1190/geo2010-0363.1
, Inversion for crustal structure using reflections from the PASSCAL Ouachita Experiment, Journal of Geophysical Research, vol.89, issue.2, pp.4633-4646, 1990.
DOI : 10.1029/JB095iB04p04633
, The lithospheric trace of the Iapetus Suture in SW Ireland from teleseismic data, Tectonophysics, vol.302, issue.1-2, pp.83-98, 1999.
DOI : 10.1016/S0040-1951(98)00279-0
, The Rock Physics Handbook, 2003.
DOI : 10.1017/CBO9780511626753
, A hybrid fast algorithm for first arrivals tomography, Geophysical Prospecting, vol.56, issue.5, pp.803-809, 2009.
DOI : 10.1111/j.1365-2478.2008.00755.x
, 3-D wavefront construction for P & SV waves in transvesely isotropic media, Expanded Abstracts. 63rd Conference & Technical Exhibition, European Association of Geoscientists and Engineers (EAGE), 2001.
, Shortest path calculation of seismic rays, GEOPHYSICS, vol.56, issue.1, pp.59-67, 1991.
DOI : 10.1190/1.1442958
, A numerical experiment on nonlinear image reconstruction from first-arrival times for two-dimensional island arc structure., Journal of Physics of the Earth, vol.34, issue.2, pp.195-201, 1986.
DOI : 10.4294/jpe1952.34.195
, Can we quantitatively image complex structures with rays ? Geophysics, pp.1223-1238, 2000.
DOI : 10.1190/1.1444814
, Solving two-point seismic-ray tracing problems in a heterogeneous medium, pp.79-99, 1980.
, Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools, Geophysical Journal International, vol.105, issue.1, pp.271-284, 1991.
DOI : 10.1111/j.1365-246X.1991.tb03461.x
, A fast, twopoint, three-dimensional ray-tracing algorithm using a simple step search method, pp.1190-1198, 1988.
, Accurate finite???difference calculation of WKBJ traveltimes and amplitudes, SEG Technical Program Expanded Abstracts 1991, pp.118-148, 0200.
DOI : 10.1190/1.1889003
, Jianliang Qian et William W. Symes. An adaptive finite difference method for traveltimes and amplitudes. Geophysics, pp.167-176, 0200.
, A Fast Sweeping Method for Static Convex Hamilton???Jacobi Equations, Journal of Scientific Computing, vol.80, issue.1-2
DOI : 10.1007/s10915-006-9124-6
, Fast Sweeping Methods for Eikonal Equations on Triangular Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.83-107, 2007.
DOI : 10.1137/050627083
, Multiple reflection and transmission phases in complex layered media using a multistage fast marching method, GEOPHYSICS, vol.69, issue.5, pp.1338-1350, 2004.
DOI : 10.1190/1.1801950
, Wave front evolution in strongly heterogeneous layered media using the fast marching method, Geophysical Journal International, vol.156, issue.3, pp.631-647, 2004.
DOI : 10.1111/j.1365-246X.2004.02153.x
, Inversion of seismic refraction and wide-angle reflection traveltimes for three-dimensional layered crustal structure, Geophysical Journal International, vol.145, issue.2, pp.381-401, 2001.
DOI : 10.1046/j.1365-246x.2001.01383.x
, Improved regional seismic event location using 3-D velocity models. Rapport technique, Defense Threat Reduction Agency, 1999.
, 2D surface topography boundary conditions in seismic wave modelling, Geophysical Prospecting, vol.121, issue.4, pp.445-460, 2001.
DOI : 10.1190/1.1444359
, Non-linear arrival time inversion: constraining velocity anomalies by seeking smooth models in 3-D, Geophysical Journal International, vol.102, issue.3, pp.653-677, 1990.
DOI : 10.1111/j.1365-246X.1990.tb04588.x
, Free-form deformation on solid geometric models, pp.151-160, 1986.
, A Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-Jacobi Equations, Journal of Computational Mathematics, vol.28, issue.4, pp.552-568, 2010.
DOI : 10.4208/jcm.1003-m0016
, 3-D traveltime computation using the fast marching method, GEOPHYSICS, vol.64, issue.2, pp.516-523, 1999.
DOI : 10.1190/1.1444558
, Fast methods for the Eikonal and related Hamilton- Jacobi equations on unstructured meshes, Proceedings of the National Academy of Sciences, vol.97, issue.11, pp.5699-5703, 2000.
DOI : 10.1073/pnas.090060097
, History,theory,and data acquisition, volume 1 of Exploration seismology, pp.10-18, 1982.
, Noble. 2-D and 3-D seismic refraction traveltime tomography based on the adjoint state method, Geophysical Research Astracts, vol.10, p.7485, 2008.
, First-arrival traveltime tomography based on the adjoint-state method, GEOPHYSICS, vol.74, issue.6, pp.1-10, 2009.
DOI : 10.1190/1.3250266
, First Arrival Traveltime Tomography - When Simpler Is Better, 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011, pp.2011-74
DOI : 10.3997/2214-4609.20149305
, Inverse problems= quest for information, J. geophys, vol.50, issue.3, pp.150-170, 1982.
, 3-D preserved amplitude prestack depth migration on a workstation, GEOPHYSICS, vol.64, issue.1, pp.222-229, 1999.
DOI : 10.1190/1.1444518
URL : https://hal.archives-ouvertes.fr/hal-01113106
, finite difference algorithm, Geophysical Journal International, vol.165, issue.2, pp.432-435, 2006.
DOI : 10.1111/j.1365-246X.2006.02925.x
, Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.673-694, 2004.
DOI : 10.1137/S0036142901396533
, Junho Um et Clifford Thurber A fast algorithm for two-point seismic ray tracing, Bulletin of the Seismological Society of America, vol.77, issue.3, pp.972-986, 1987.
, Upwind finite???difference calculation of traveltimes, GEOPHYSICS, vol.56, issue.6, pp.812-821, 1991.
DOI : 10.1190/1.1443099
, ?erven`y et F. Hron. The ray series method and dynamic ray tracing system for three dimensional inhomogeneous media, Bulletin of Seismological Soceity of America, vol.70, issue.1, pp.47-77, 1980.
, Theory of seismic head waves, 1971.
, ?erven`y. Seismic Ray Theory, pp.22-29, 2001.
, Rapid calculation of seismic amplitudes, Geophysics, vol.118, issue.144, pp.1504-1507, 0200.
, Finite difference calculation of travel times, Bulletin of Seismological Soceity of America, vol.78, issue.116, pp.2062-2076, 1988.
, Finite difference calculation of travel times in three dimensions, Geophysics, vol.55, issue.49, pp.521-526, 0199.
, Traveltime and amplitude estimation using wavefront construction, GEOPHYSICS, vol.58, issue.8, pp.1157-1166, 1993.
DOI : 10.1190/1.1443499
, Traveltime and amplitude estimation using wavefront construction, GEOPHYSICS, vol.58, issue.8, pp.1157-1166, 1993.
DOI : 10.1190/1.1443499
, 3-D ray modeling by wavefront construction in open models, GEOPHYSICS, vol.64, issue.6, pp.1912-1919, 1999.
DOI : 10.1190/1.1444697
, 3-D ray modeling by wavefront construction in open models, GEOPHYSICS, vol.64, issue.6, pp.1912-1919, 1999.
DOI : 10.1190/1.1444697
, High-precision earthquake locations in Switzerland using regional secondary arrivals in a 3D velocity model
, Wave tracing: Ray tracing for the propagation of band-limited signals: Part 2 ??? Applications, GEOPHYSICS, vol.73, issue.5, pp.385-393, 2008.
DOI : 10.1190/1.2963515
, Seismic traveltime inversion for 2-D crustal velocity structure, Geophysical Journal International, vol.108, issue.1, pp.16-34, 1992.
DOI : 10.1111/j.1365-246X.1992.tb00836.x
, Traction image method for irregular free surface boundaries in finite difference seismic wave simulation, Geophysical Journal International, vol.167, issue.1, pp.337-353, 2006.
DOI : 10.1111/j.1365-246X.2006.03113.x
, Eikonal solver in the celerity domain, Geophysical Journal International, vol.162, issue.1, pp.1-8, 2005.
DOI : 10.1111/j.1365-246X.2005.02626.x
, Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations, Methods and Applications of Analysis, vol.13, issue.3, pp.299-320, 2006.
, High Order Fast Sweeping Methods for Static Hamilton???Jacobi Equations, Journal of Scientific Computing, vol.80, issue.1, pp.25-56, 2006.
DOI : 10.1007/s10915-005-9014-3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.7908
, Crustal Structure in the Southern Kanto-Tokai Region Derived from Tomographic Method for Seismic Explosion Survey., Journal of Physics of the Earth, vol.45, issue.6, pp.433-453, 1997.
DOI : 10.4294/jpe1952.45.433
, Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method, Computer Vision and Image Understanding, vol.80, issue.3, pp.295-319, 2000.
DOI : 10.1006/cviu.2000.0875