Maxwell curl equation datuming for GPR based on the Kirchhoff integral solution and application in a tunnel grouting test

References

1. AnnanA.P.1999. Ground penetrating radar: Survey design. Mississauga, Ontario.
   [Google Scholar]
2. BerryhillJ.R.1979. Wave equation datuming.Geophysics44, 1329–1344.
   [Google Scholar]
3. BerryhillJ.R.1984. Wave equation datuming before stack.Geophysics49, 2064–2067.
   [Google Scholar]
4. CalvertR.W., BakulinA. and JonesT.C.2004. Virtual sources, a new way to remove overburden problems.66th Annual Conference, Paris, France, Expanded Abstracts, P234.
   [Google Scholar]
5. DruzhininA.1998. Explicit Kirchhoff‐Helmholtz integrals and their accurate numerical implementation.Wave Motion28, 119–148.
   [Google Scholar]
6. DuJ., HuangH.W. and XieX.Y.2005. Research on the simulation examination about GPR detection of grouting material behind shield tunnel segment.Chinese Journal of Underground Space and Engineering1, 817–821.
   [Google Scholar]
7. HanafyS.M. and SchusterG.T.2007. Target‐oriented interferometric tomography for GPR data.Geophysics72, J1–J6.
   [Google Scholar]
8. LaneJr.J.W., BuursinkM.L., HaeniF.P. and VersteegR.J.2000. Evaluation of Ground‐Penetrating Radar to Detect Free‐Phase Hydrocarbons in Fractured Rocks – Results of Numerical Modeling and Physical Experiments.Ground Water38, 929–938.
   [Google Scholar]
9. LarkinS.P. and LevanderA.1996. Wave‐equation datuming for improving deep crustal seismic images.Tectonophysics264, 371–379.
   [Google Scholar]
10. LiuL.B. and ArconeS.A.2003. Numerical simulation of the wave‐guide effect of the near‐surface thin layer on radar wave propagation.Journal of Environmental & Engineering Geophysics8, 133–141.
    [Google Scholar]
11. LiuL.B., HeK., XieX.Y. and DuJ.2007. Image enhancement with wave‐equation redatuming: Application to GPR data collected at public transportation sites.Journal of Geophysics and Engineering4, 139–147.
    [Google Scholar]
12. McMechanG.A. and ChenH.W.1990. Implicit static corrections in prestack migration of common source data.Geophysics55, 757–760.
    [Google Scholar]
13. PradaC., KerbratE., CassereauD. and FinkM.2002. Time reversal techniques in ultrasonic nondestructive testing of scattering media.Inverse Problems18, 1761–1773.
    [Google Scholar]
14. ReshefM.1991. Depth migration from irregular surfaces with depth extrapolation methods.Geophysics56, 119–122.
    [Google Scholar]
15. RickettJ. and ClaerboutJ.1999. Acoustic daylight imaging via spectral factorization: Helioseismology and reservoir monitoring.The Leading Edge18, 957–960.
    [Google Scholar]
16. SchusterG.T., YuJ., ShengJ. and RickettJ.2004. Interferometric/daylight seismic imaging.Geophysical Journal International157, 838–852.
    [Google Scholar]
17. ScottP.F. and HelmbergerD.1983. Application of the Kirchhoff‐Helmholtz integral problems in seismology.Geophysical Journal of the Royal Astronomical Society72, 237–254.
    [Google Scholar]
18. SigginsA.F. and WhiteleyR. J.2000. Laboratory simulation of high‐frequency GPR responses of damaged tunnel lining.Proceedings of the 8th International Conference on Ground Penetrating Radar, 805–811, SPIE.
    [Google Scholar]
19. SniederR., GretA., DoumaH. and ScalesJ.2002. Coda wave interferometry for estimating nonlinear behavior in seismic velocity.Science295, 2253–2255.
    [Google Scholar]
20. ThorsosE.I.1988. The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum.Journal of the Acoustical Society of America83, 78–92.
    [Google Scholar]
21. ToppG.C., ZegelinS. and WhiteI.1999. Impacts of the Real and Imaginary Components of Relative Permittivity on Time Domain Reflectometry Measurements in Soils.Soil Science Society of America Journal64, 1244–1252.
    [Google Scholar]
22. WapenaarC.P.A., ThorbeckeJ. and DraganovD.2004. Relation between reflection and transmission responses of 3‐D inhomogeneous media.Geophysical Journal International156, 179–194.
    [Google Scholar]
23. XieX.Y., LiuY.J., HuangH.W., DuJ., ZhangF.S. and LiuL.B.2007. Evaluation of grout behind the lining of shield tunnels using ground‐penetrating radar in the Shanghai Metro Line.Journal of Geophysics and Engineering4, 253–261.
    [Google Scholar]
24. XueY.2010. Least squares datuming and surface waves prediction with interferometry.PhD thesis. The University of Utah.
    [Google Scholar]
25. ZhangF.H., XieX.Y. and HuangH.W.2010. Application of ground penetrating radar in grouting evaluation for shield tunnel construction.Tunnelling and Underground Space Technology25, 99–107.
    [Google Scholar]