Object-based high contrast travel time tomography

作者: Antonio Ortega , Yenting Lin

DOI:

关键词: Function (mathematics)GeometryAlgorithmReconstruction algorithmPath (graph theory)MathematicsTomographySpace (mathematics)Point (geometry)GridRegion of interest

摘要: We consider travel time tomography problems involving detection of high contrast, discrete velocity structures. This results in a nonlinear inverse problem, for which traditional grid-based models and iterative linearized least-squares reconstruction algorithms are not suitable. is because paths change significantly near the contrast structure, making it more difficult to inversely calculate path infer along path. propose model-based approach describe structure using pre-defined elementary objects. Compared model, our has complexity that increases as function number objects, rather than increasing with cells (usually very large). A new algorithm developed provides estimates probability appears at any point region interest. Simulation show method can efficiently sample model parameter space, we map parameters into structures spatial domain generate "probability map", represent appearance different regions. only gives highest optimal solution, but also includes other possible well.

参考文章(27)
Martin Hanke, Heinz W. Engl, Andreas Neubauer, Regularization of Inverse Problems ,(1996)
N. Rawlinson, J. Hauser, M. Sambridge, Seismic ray tracing and wavefront tracking in laterally heterogeneous media Advances in Geophysics Volume 49. ,vol. 49, pp. 203- 273 ,(2008) , 10.1016/S0065-2687(07)49003-3
Richard Courant, David Hilbert, Methods of Mathematical Physics ,(1947)
Thomas Bodin, Malcolm Sambridge, Nick Rawlinson, Pierre Arroucau, Transdimensional tomography with unknown data noise Geophysical Journal International. ,vol. 189, pp. 1536- 1556 ,(2012) , 10.1111/J.1365-246X.2012.05414.X
Radford M. Neal, MCMC Using Hamiltonian Dynamics arXiv: Computation. pp. 139- 188 ,(2011) , 10.1201/B10905-10
Walter Munk, Carl Wunsch, Ocean acoustic tomography: a scheme for large scale monitoring Deep Sea Research. ,vol. 26, pp. 123- 161 ,(1979) , 10.1016/0198-0149(79)90073-6
Chao-ying Bai, Stewart Greenhalgh, 3-D Non-linear Travel-time Tomography: Imaging High Contrast Velocity Anomalies Pure and Applied Geophysics. ,vol. 162, pp. 2029- 2049 ,(2005) , 10.1007/S00024-005-2703-X
J. A. Sethian, A fast marching level set method for monotonically advancing fronts Proceedings of the National Academy of Sciences of the United States of America. ,vol. 93, pp. 1591- 1595 ,(1996) , 10.1073/PNAS.93.4.1591
Scott Kirkpatrick, Optimization by Simulated Annealing: Quantitative Studies Journal of Statistical Physics. ,vol. 34, pp. 975- 986 ,(1984) , 10.1007/BF01009452
Pankaj K. Agarwal, Subhash Suri, Surface Approximation and Geometric Partitions SIAM Journal on Computing. ,vol. 27, pp. 1016- 1035 ,(1998) , 10.1137/S0097539794269801