Combined inversion of first‐arrival travel times and reflection travel times

References

1. AkiK. and LeeW.1976. Determination of three‐dimensional velocity anomalies under a seismic array using first P arrival times from local earthquakes: 1. A homogeneous initial model. Journal of Geophysical Research81, 4381–4399.
   [Google Scholar]
2. AltonK. and MitchellI.M.2008. Fast marching methods for stationary Hamilton‐Jacobi equations with axis‐aligned anisotropy. SIAM Journal on Numerical Analysis47, 363–385.
   [Google Scholar]
3. BrendersA. and PrattR.2007. Efficient waveform tomography for lithospheric imaging: implications for realistic, two‐dimensional acquisition geometries and low‐frequency data. Geophysical Journal International168, 152–170.
   [Google Scholar]
4. ChaventG.1979. Identification of distributed parameter systems: about the output least square method, its implementation and identifiability. IFAC Proceeding12, 85–97.
   [Google Scholar]
5. ChaventG. and JacewitzC.A.1995. Determination of background velocities by multiple migration fitting. Geophysics60, 476–490.
   [Google Scholar]
6. de KoolM., RawlinsonN. and SambridgeM.2006. A practical grid‐based method for tracking multiple refraction and reflection phases in three‐dimensional heterogeneous media. Geophysical Journal International167, 253–270.
   [Google Scholar]
7. DessaJ.X., OpertoS., KodairaS., NakanishiA., PascalG., UhiraK. and KanedaY.2004. Deep seismic imaging of the eastern Nankai trough, Japan, from multifold ocean bottom seismometer data by combined travel time tomography and prestack depth migration. Journal of Geophysical Research: Solid Earth109, B02111.
   [Google Scholar]
8. DongG.L.2005. Numerical simulation of seismic wave propagation under complex near surface conditions. Progress in Exploration Geophysics (in Chinese)28, 187–194.
   [Google Scholar]
9. GuoB., LiuQ.Y. and ChenJ.H.2009. Teleseismic P‐wave tomography of the crust and upper mantle in Longmenshan area, west Sichuan. Chinese Journal of Geophysics52, 346–355.
   [Google Scholar]
10. HaleD.2013. Dynamic warping of seismic images. Geophysics78, S105–S115.
    [Google Scholar]
11. HeinckeB., JegenM., MoorkampM., ChenJ. and HobbsR.W.2010. Adaptive coupling strategy for simultaneous joint inversions that use petrophysical information as constraints. 80th SEG Annual Meeting, Denver, Colorado, USA, Expanded Abstract, 2805–2809.
12. HuangJ.‐W. and BellefleurG.2012. Joint transmission and reflection traveltime tomography using the fast sweeping method and the adjoint‐state technique. Geophysical Journal International188, 570–582.
    [Google Scholar]
13. JegenM.D., HobbsR.W., TaritsP. and ChaveA.2009. Joint inversion of marine magnetotelluric and gravity data incorporating seismic constraints: preliminary results of sub‐basalt imaging off the Faroe Shelf. Earth and Planetary Science Letters282, 47–55.
    [Google Scholar]
14. LaillyP.1983. The seismic inverse problem as a sequence of before stack migrations. Proceedings of the SIAM Conference on Inverse Scattering, Theory and Applications, Philadelphia, Pennsylvania, USA, Expanded Abstract.
15. LaillyP., Delprat‐JannaudF., BecacheE. and ChovetE.1992. Reflection tomography: how to cope with multiple arrivals ? 62nd SEG Annual Meeting, New Orleans, Louisiana, USA, Expanded Abstract, 741–744.
16. LanH.Q., ZhangZ., XuT., BaiZ.M. and LiangK.2012. A comparative study on the fast marching and fast sweeping methods in the calculation of first‐arrival traveltime field. Progress in Geophysics (in Chinese) 27, 1863–1870.
    [Google Scholar]
17. LeungS. and QianJ.2006. An adjoint state method for three‐dimensional transmission traveltime tomography using first‐arrivals. Communications in Mathematical Sciences4, 249–266.
    [Google Scholar]
18. LiuY.Z. and DongL.G.2011. Research on the seismic resolution of Fresnel volume tomography. Chinese Journal of Geophysics (in Chinese) 54, 2338–2347.
    [Google Scholar]
19. LiuY.Z., DongL.G., LiP.M., WangY.‐W., ZhuJ.‐P. and MaZ.‐T.2009. Fresnel volume tomography based on the first arrival of the seismic wave. Chinese Journal of Geophysics (in Chinese) 52, 2310–2320.
    [Google Scholar]
20. MaY. and HaleD.2013. Wave‐equation reflection traveltime inversion with dynamic warping and full‐waveform inversion. Geophysics78, R223–R233.
    [Google Scholar]
21. NakanishiI. and YamaguchiK.1986. A numerical experiment on nonlinear image reconstruction from first‐arrival times for two‐dimensional island arc structure. Journal of Physics of the Earth34, 195–201.
    [Google Scholar]
22. NicholsD., UrdanetaH., OhH., ClearboutJ., LaaneL., KarrenbachM. and SchwabM.1993. Programming geophysics in C++. Stanford Exploration Project Report79, 313–471.
    [Google Scholar]
23. PodvinP. and LecomteI.1991. Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools. Geophysical Journal International105, 271–284.
    [Google Scholar]
24. QianJ., ZhangY.T. and ZhaoH.K.2007a. Fast sweeping methods for Eikonal equations on triangular meshes. SIAM Journal on Numerical Analysis45, 83–107.
    [Google Scholar]
25. QianJ., ZhangY.T. and ZhaoH.K.2007b. A Fast sweeping method for static convex Hamilton‐Jacobi equations. Journal of Scientific Computing31, 237–271.
    [Google Scholar]
26. RawlinsonN., HauserJ. and SambridgeM.2008. Seismic ray tracing and wavefront tracking in laterally heterogeneous media. Advances in Geophysics49, 203–273.
    [Google Scholar]
27. RawlinsonN. and SambridgeM.2004. Multiple reflection and transmission phases in complex layered media using a multistage fast marching method. Geophysics69, 1338–1350.
    [Google Scholar]
28. SchneiderW.Jr, RanzingerK.A., BalchA. and KruseC.1992. A dynamic programming approach to first arrival traveltime computation in media with arbitrarily distributed velocities. Geophysics57, 39–50.
    [Google Scholar]
29. SeiA. and SymesW.W.1994. Gradient calculation of the traveltime cost function without ray tracing. 64th SEG Annual Meeting, Los Angeles, California, USA, Expanded Abstract, 1351–1354.
30. SethianJ.1999. Level Set Methods and Fast Marching Methods, 2nd edn. Cambridge University Press.
    [Google Scholar]
31. ShenP., SymesW.W. and StolkC.C.2003. Differential semblance velocity analysis by wave‐equation migration. 73rd SEG Annual Meeting, Dallas, Texas, USA, Expanded Abstract, 2132–2135.
32. TaillandierC., NobleM., ChaurisH. and CalandraH.2009. First‐arrival traveltime tomography based on the adjoint‐state method. Geophysics74, WCB1–WCB10.
    [Google Scholar]
33. TarantolaA.1984. Inversion of seismic reflection data in the acoustic approximation. Geophysics49, 1259–1266.
    [Google Scholar]
34. VidaleJ.1988. Finite‐difference calculation of travel times. Bulletin of the Seismological Society of America78, 2062–2076.
    [Google Scholar]
35. VidaleJ.E.1990. Finite‐difference calculation of traveltimes in three dimensions. Geophysics55, 521–526.
    [Google Scholar]
36. VinjeV., IversenE. and GjoystdalH.1993. Traveltime and amplitude estimation using wavefront construction. Geophysics58, 1157–1166.
    [Google Scholar]
37. ZhangF.X., LiY.H., WuQ.J. and DingZ.F.2011. The P wave velocity structure of upper mantle beneath the North China and surrounding regions from FMTT. Chinese Journal of Geophysics (in Chinese) 54, 1233–1242.
    [Google Scholar]
38. ZhangF.X., WuQ.J. and LiY.2013. The traveltime tomography study by teleseismic P wave data in the Northeast China area. Chinese Journal of Geophysics57, 88–101.
    [Google Scholar]
39. ZhaoH.2005. A fast sweeping method for eikonal equations. Mathematics of Computation74, 603–627.
    [Google Scholar]
40. ZhaoH.2007. Parallel implementations of the fast sweeping method. Journal of Computational Mathematics (International Edition)25, 421–429.
    [Google Scholar]