Surface wave inversion by wave field reconstruction and wave equation inversion
- Ali Shaiban (University of Edinburgh) | Sjoerd de Ridder (University of Edinburgh) | Andrew Curtis (University of Edinburgh)
- Document ID
- Society of Exploration Geophysicists
- 2018 SEG International Exposition and Annual Meeting, 14-19 October, Anaheim, California, USA
- Publication Date
- Document Type
- Conference Paper
- 2018. Society of Exploration Geophysicists
- Surface wave, Inversion, Near surface, Full-waveform inversion, Gradiometry
- 1 in the last 30 days
- 9 since 2007
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We present an inversion scheme for surface waves that jointly inverts point-receiver data for both a densely reconstructed wave field and an estimate of seismic velocities. The formulation is posed as a partial differential equation (PDE) constrained inverse problem. We use the dispersive Helmholtz equation to approximate the far-field behavior of surface waves as two dimensional wave propagation through a phase velocity map. The Helmholtz equation does not accurately describe surface wave propagation near sources so we mask source regions from the PDE constraint. This leads to excellent wave field reconstruction and medium velocity estimates. The new theory and algorithm are supported by a numerical example with simulated elastic data. The phase velocity model obtained is verified by frequency-wavenumber dispersion analysis.
Presentation Date: Tuesday, October 16, 2018
Start Time: 8:30:00 AM
Location: 204A (Anaheim Convention Center)
Presentation Type: Oral
|File Size||5 MB||Number of Pages||5|
Curtis,A.,P.Gerstoft,H.Sato,R.Snieder, andK.Wapenaar,2006,Seismic interferometry — Turning noise into signal:The Leading Edge,25,1082–1092,10.1190/1.2349814.
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.
Curtis,A.,J.Trampert,R. K.Snieder, andB.Dost,1998,Eurasian fundamental mode surface wave phase velocities and their relationship with tectonic structures:Journal of Geophysical Research: Solid Earth,103,26919–26947,10.1029/98JB00903.
De Ridder,S., andJ.Dellinger,2011,Ambient seismic noise eikonal tomography for near-surface imaging at Valhall:The Leading Edge,30,506–512,10.1190/1.3589108.
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,42,7031–7038,10.1002/2015GL065027.
De Ridder,S. A. L., andJ. R.Maddison,2017,Wave field inversion of ambient seismic noise:79th Annual International Conference and Exhibition, EAGE,Extended Abstracts,10.3997/2214-4609.201701687.
Dou,S., andJ. B.Ajo-Franklin,2014,Full-wavefield inversion of surface waves for mapping embedded low-velocity zones in permafrost:Geophysics,79,no.6,EN107–EN124,10.1190/geo2013-0427.1.
Edme,P., andS.Yuan,2016,Local dispersion curve estimation from seismic ambient noise using spatial gradients:Interpretation,4,no.3,SJ17–SJ27,10.1190/int-2016-0003.1.
Jones,R. B.,1958,In-situ measurement of the dynamic properties of soil by vibration methods:Geotechnique,8,1–21,10.1680/geot.19220.127.116.11.
Langston,C. A.,2007,Spatial gradient analysis for linear seismic arrays:Bulletin of the Seismological Society of America,97,265–280,10.1785/0120060100.
Mari,J.,1984,Estimation of static corrections for shear-wave profiling using the dispersion properties of love waves:Geophysics,49,1169–1179,10.1190/1.1441746.
Peiming,L.,Z.Kui,Z.Yimeng,Y.Zhihui, andR.Bridle,2016,Near-surface shear-wave velocity estimation based on surface-wave inversion:The Leading Edge,35,940–945,10.1190/tle35110940.1.
Socco,L. V.,S.Foti, andD.Boiero,2010,Surface-wave analysis for building near-surface velocity models; established approaches and new perspectives:Geophysics,75,no.5,75A83–75A102,10.1190/1.3479491.
Tarantola,A.,1984,Inversion of seismic reflection data in the acoustic approximation:Geophysics,49,1259–1266,10.1190/1.1441754.
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.
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.