Frequency-domain full-wavefield inversion for ambient seismic surface-wave noise
- Sjoerd de Ridder (University of Edinburgh) | Andrew Curtis (University of Edinburgh) | James Maddison (University of Edinburgh) | Ali Shaiban (University of Edinburgh)
- Document ID
- Society of Exploration Geophysicists
- 2017 SEG International Exposition and Annual Meeting, 24-29 September, Houston, Texas
- Publication Date
- Document Type
- Conference Paper
- 2017. Society of Exploration Geophysicists
- Full-waveform inversion, Inversion, Passive imaging
- 0 in the last 30 days
- 18 since 2007
- Show more detail
We pose full wave field inversion of ambient seismic noise as a partial differential equation (PDE) constrained inverse problem resulting in a joint estimation of both the wave field (noise free) and the velocity parameters. Because the ambient seismic field is usually dominated by fundamental mode surface waves, we elect to impose a dispersive Helmholtz equation as a PDE constraint and attempt to retrieve the surface wave dispersion while estimating the wave field that best fits the data. The character of the ambient seismic field is irrelevant, as long as the recordings are non-zero and we can assume the wave field sources to be negligible inside the domain of interest. The boundary conditions of the wave field are explicitly omitted from the PDE constraint and recovered during the inversion. We support the theory with two numerical examples.
Presentation Date: Thursday, September 28, 2017
Start Time: 9:20 AM
Presentation Type: ORAL
|File Size||4 MB||Number of Pages||6|
Curtis,A., andJ. O. A.Robertsson,2002,Volumetric wavefield recording and wave equation inversion for nearsurface material properties:Geophysics,67,1602–1611,10.1190/1.1512751.
de Ridder,S. A. L., andB. L.Biondi,2015,Near-surface scholte wave velocities at ekofisk from short noise recordings by seismic noise gradiometry:Geophysical Research Letters,42,7031–7038, (2015GL065027),10.1002/2015GL065027.
Edme,P., andS.Yuan,2016,Local dispersion curve estimation from seismic ambient noise using spatial gradients:Interpretation,4,SJ17–SJ27,10.1190/INT-2016-0003.1.
Fichtner,A.,2015,Source-structure trade-offs in ambient noise correlations:Geophysical Journal International,202,678–694,10.1093/gji/ggv182.
Langston,C. A.,2007,Spatial gradient analysis for linear seismic arrays:Bulletin of the Seismological Society of America,97,265–280,10.1785/0120060100.
Liu,Y., andW. E.Holt,2015,Wave gradiometry and its link with Helmholtz equation solutions applied to usarray in the eastern U.S.:Journal of Geophysical Research: Solid Earth,120,5717–5746, (2015JB011982),10.1002/2015JB011982.
Lobkis,O. I., andR. L.Weaver,2001,On the emergence of the Green’s function in the correlations of a diffuse field:Journal of the Acoustical Society of America,110,3011–3017,10.1121/1.1417528.
Poppeliers,C.,P.Punosevac, andT.Bell,2013,Three-dimensional seismic-wave gradiometry for scalar waves:Bulletin of the Seismological Society of America,103,2151–2160,10.1785/0120120224.
Snieder,R.,Y.Fan,E.Slob, andK.Wapenaar,2010,Equipartitioning is not sufficient for green’s function extraction:Earthquake Science,23,403–415,10.1007/s11589-010-0739-1.
Tarantola,A.,1984,Inversion of seismic reflection data in the acoustic approximation:Geophysics,49,1259–1266,10.1190/1.1441754.
Tromp,J.,Y.Luo,S.Hanasoge, andD.Peter,2010,Noise cross-correlation sensitivity kernels:Geophysical Journal International,183,791–819,10.1111/j.1365-246X.2010.04721.x.
van Leeuwen,T., andF. J.Herrmann,2013,Mitigating local minima in full-waveform inversion by expanding the search space:Geophysical Journal International,195,661–667,10.1093/gji/ggt258.
Wapenaar,K., andJ.Fokkema,2006,Green’s function representations for seismic interferometry:Geophysics,71, no.4,SI33–SI46,10.1190/1.2213955.
Wielandt,E.,1993,Propagation and structural interpretation of non-plane waves:Geophysical Journal International,113,45–53,10.1111/j.1365-246X.1993.tb02527.x.