This repo contains C++ and python codes for raytracing on regular and unstructured meshes. Matlab wrappers are provided as well.
ttcrpy is a package for computing traveltimes and raytracing that was
developed with geophysical applications in mind, e.g. ray-based seismic/GPR
tomography and microseismic event location (joint hypocenter-velocity
inversion). The package contains code to perform computation on 2D and 3D
rectilinear grids, as well as 2D triangular and 3D tetrahedral meshes. Three
different algorithms have been implemented: the Fast-Sweeping Method, the
Shortest-Path Method, and the Dynamic Shortest-Path Method. Calculations can
be run in parallel on a multi-core machine.
The core computing code is written in C++, and has been wrapped with cython.
Documentation can be found on Read The Docs
If you use ttcrpy, please cite
There are three programs that can be called from the command line:
ttcr2d: raytracing on planar 2D meshesttcr2ds: raytracing on undulated surfacesttcr3d: raytracing in 3D
See documentation for command-line programs options and file formats.
Look at the files in the examples directory for some samples.
The programs are coded in C++ and follow the C++11 standard. You must have VTK (http://vtk.org) installed on your system, to benefit from full functionalities. Files from the eigen3 (http://eigen.tuxfamily.org) and boost (http://www.boost.org) libraries are distributed with the source to facilitate compilation. These codes were compiled and tested on macs with the default compiler (clang). They were also tested to some extent under linux with g++ version 4.8.
To compile the mexfiles, you will need:
- a C++ compiler that conforms to the C++11 standard
- the source codes of the ttcr package
On my OS X machine, I use this command to compile from a terminal:
MATLAB=/Applications/MATLAB_R2014a.app
$MATLAB/bin/mex -O CXXFLAGS='$CXXFLAGS -std=c++11 -stdlib=libc++' \
LDFLAGS='$LDFLAGS -std=c++11 -stdlib=libc++' -largeArrayDims -v \
-I$HOME/src/ttcr/ttcr -I$HOME/src/ttcr/boost_1_81_0 \
-I$HOME/src/ttcr/eigen-3.4.0 grid2dunsp_mex.cpp
3D classes must be compiled with verbose.cpp in the list of source files, i.e.
$MATLAB/bin/mex -O CXXFLAGS='$CXXFLAGS -std=c++11 -stdlib=libc++' \
LDFLAGS='$LDFLAGS -std=c++11 -stdlib=libc++' -largeArrayDims -v \
-I$HOME/src/ttcr/ttcr -I$HOME/src/ttcr/boost_1_81_0 \
-I$HOME/src/ttcr/eigen-3.4.0 grid3dunfs_mex.cpp verbose.cpp
On a windows machine with intel compiler installed, I could compile it from the matlab prompt with:
mex -v -O COMPFLAGS='$COMPFLAGS /Qstd=c++11' -largeArrayDims -I../ttcr -I../boost_1_81_0 -I../eigen-3.4.0 grid2dunsp_mex.cpp
Unfortunately, I cannot offer extensive support for compiling on other platforms, especially windows variants.
Please report bugs to https://github.com/groupeLIAMG/ttcr/issues
@article{doi:10.1111/1365-2478.12930,
author = {Nasr, Maher and Giroux, Bernard and Dupuis, J. Christian},
title = {A hybrid approach to compute seismic travel times in three-dimensional tetrahedral meshes},
journal = {Geophysical Prospecting},
volume = {n/a},
number = {n/a},
pages = {},
keywords = {Travel time, Seismic modelling, Ray tracing, Seismics, Computing aspects},
doi = {10.1111/1365-2478.12930},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1111/1365-2478.12930},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1111/1365-2478.12930},
}
@inbook{nasr18,
author = { Maher Nasr and Bernard Giroux and J. Christian Dupuis },
title = {An optimized approach to compute traveltimes in 3D unstructured meshes},
booktitle = {SEG Technical Program Expanded Abstracts 2018},
chapter = {},
pages = {5073-5077},
year = {2018},
doi = {10.1190/segam2018-2997918.1},
URL = {https://library.seg.org/doi/abs/10.1190/segam2018-2997918.1},
eprint = {https://library.seg.org/doi/pdf/10.1190/segam2018-2997918.1}
}
@InProceedings{giroux14,
Title = {Comparison of grid-based methods for raytracing on unstructured meshes},
Author = {Bernard Giroux},
Booktitle = {SEG Technical Program Expanded Abstracts},
Year = {2014},
Pages = {3388-3392},
Chapter = {649},
DOI = {10.1190/segam2014-1197.1},
Eprint = {http://library.seg.org/doi/pdf/10.1190/segam2014-1197.1},
URL = {http://dx.doi.org/10.1190/segam2014-1197.1}
}
@ARTICLE{giroux13,
author = {Bernard Giroux and Beno\^{\i}t Larouche},
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number = {0},
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url = {http://dx.doi.org/10.1016/j.cageo.2012.12.005}
}
@INPROCEEDINGS{giroux13b,
author = {Bernard Giroux},
title = {Shortest path raytracing on tetrahedral meshes},
booktitle = {75$^{th}$ EAGE Conference \& Exhibition},
year = {2013},
address = {London},
organization = {EAGE},
doi = {10.3997/2214-4609.20130236}
url = {http://dx.doi.org/10.3997/2214-4609.20130236}
}
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author = {Leli\`evre, Peter G. and Farquharson, Colin G. and Hurich, Charles A.},
title = {Computing first-arrival seismic traveltimes on unstructured 3-{D}
tetrahedral grids using the Fast Marching Method},
journal = {Geophysical Journal International},
year = {2011},
volume = {184},
pages = {885-896},
number = {2},
doi = {10.1111/j.1365-246X.2010.04880.x}
url = {http://dx.doi.org/10.1111/j.1365-246X.2010.04880.x}
}
@ARTICLE{qian07,
author = {Qian, Jianliang and Zhang, Yong-Tao and Zhao, Hong-Kai},
title = {Fast Sweeping Methods for Eikonal Equations on Triangular Meshes},
journal = {SIAM Journal on Numerical Analysis},
year = {2007},
volume = {45},
pages = {83--107},
number = {1},
doi = {10.1137/050627083},
publisher = {Society for Industrial and Applied Mathematics},
url = {http://www.jstor.org/stable/40232919}
}
@Article{zhang06,
Title = {High Order Fast Sweeping Methods for Static {H}amilton–{J}acobi Equations},
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Journal = {Journal of Scientific Computing},
Year = {2006},
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Pages = {25--56},
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URL = {http://dx.doi.org/10.1007/s10915-005-9014-3}
}
@Article{zhao05,
Title = {A Fast Sweeping Method for Eikonal Equations},
Author = {Zhao, Hongkai},
Journal = {Mathematics of Computation},
Year = {2005},
Month = apr,
Number = {250},
Pages = {603--627},
Volume = {74},
Publisher = {American Mathematical Society},
URL = {http://www.jstor.org/stable/4100081}
}