Two-dimensional permittivity and conductivity imaging by full waveform inversion of multioffset GPR data: a frequency-domain quasi-Newton approach

Lavoué, François; Brossier, Romain; Métivier, Ludovic; Garambois, Stéphane; Virieux, Jean

doi:10.1093/gji/ggt528

Cited by 97 publications

(81 citation statements)

References 54 publications

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“…As discussed by [11], we invert relative parameters instead of parameter themselves so that they are defined as r = / 0 where 0 = 8.85 . 10 −12 F m −1 (vacuum value) and r = / 0 where 0 has to be chosen accurately.…”

Section: Applicationmentioning

confidence: 99%

Full-waveform inversion of GPR data acquired between boreholes in Rustrel carbonates

et al. 2016

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Abstract. Full waveform inversion (FWI) of seismic or Ground PenetratingRadar data provides high-resolution quantitative images of the constitutive parameters of the rock/soil which control seismic/GPR wave propagation. We developed a 2D inversion tool in the frequency domain adapted to the multi-parameter physics controlling GPR propagation in isotropic non dispersive media, i.e. dielectric permittivity and electrical conductivity. This inversion engine was previously tested using synthetic 2D data to mitigate the trade-off between the two parameter classes. In this paper, we present the required processing techniques and first inversion results obtained on a real GPR dataset acquired in carbonates with a cross-hole configuration. The presence of the 2 m diameter underground gallery at depth constitutes a nice target to test the robustness, efficiency and resolution of the inversion in such high-contrasts context. Starting from a time tomographic image for the dielectric permittivity and from a homogeneous conductivity, we show that FWI is efficient to retrieve high resolution images of dielectric permittivity but struggles with electrical conductivity. As a quality control, we compare real and synthetic radargrams computed from the tomography and final images, showing the efficiency of the process to reconstruct some events but also underlying some issues, particularly on large incidence angles amplitude traces.

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Section: Applicationmentioning

confidence: 99%

Full-waveform inversion of GPR data acquired between boreholes in Rustrel carbonates

et al. 2016

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“…Regions with relatively high remaining gradient amplitudes indicate less reliable inversion results. Frequency-domain fullwaveform approaches have been recently implemented by Yang et al (2013b) and Lavoué et al (2014). Although here, selected frequencies can be used for the inversion to reduce the computational demands, selecting the appropriate frequencies is not straightforward.…”

Section: Full-waveform Inversion Of Crosshole Gpr Datamentioning

confidence: 99%

Quantitative multi-layer electromagnetic induction inversion and full-waveform inversion of crosshole ground penetrating radar data

et al. 2015

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Due to the recent system developments for the electromagnetic characterization of the subsurface, fast and easy acquisition is made feasible due to the fast measurement speed, easy coupling with GPS systems, and the availability of multi-channel electromagnetic induction (EMI) and ground penetrating radar (GPR) systems. Moreover, the increasing computer power enables the use of accurate forward modeling programs in advanced inversion algorithms where no approximations are used and the full information content of the measured data can be exploited. Here, recent developments of large-scale quantitative EMI inversion and full-waveform GPR inversion are discussed that yield higher resolution of quantitative medium properties compared to conventional approaches. In both cases a detailed forward model is used in the inversion procedure that is based on Maxwell's equations. The multi-channel EMI data that have different sensing depths for the different source-receiver offset are calibrated using a short electrical resistivity tomography (ERT) calibration line which makes it possible to invert for electrical conductivity changes with depth over large areas. The crosshole GPR full-waveform inversion yields significant higher resolution of the permittivity and conductivity images compared to ray-based inversion results. KEY WORDS: ground penetrating radar, electromagnetic induction, full-waveform inversion. INTRODUCTIONThe electromagnetic tools, EMI and GPR, can be used for a wide range of applications to non-invasively image the subsurface. Due to the fast data acquisition, where the measured data can be directly linked with high resolution GPS systems, it is becoming more and more feasible to map GPR and EMI over large areas. The use of multi-channel EMI and GPR makes it possible to acquire simultaneously EMI and GPR data for different source-receiver offsets that enable an improved subsurface characterization. Ray-based or approximate techniques are often used where only part of the data is exploited. Improved subsurface characterization can be obtained by including advanced modeling tools that are able to calculate the electromagnetic wave propagation with high accuracy using Maxwell's equations. In the following, we will describe recent advancements in the high-resolution imaging of EMI and GPR data.

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“…Lavoué et al . () gave a frequency‐domain quasi‐Newton approach for multi‐offset GPR FWI. Liu, Meng and Fu () designed a source wavelet independent time‐domain FWI method, where the source wavelet estimation is not necessary.…”

Section: Introductionmentioning

confidence: 99%

Application of ground penetrating radar to detect tunnel lining defects based on improved full waveform inversion and reverse time migration

Fengkai

Liu

et al. 2019

Near Surface Geophysics

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Ground penetrating radar is a popular approach to detect defects in tunnel lining. However, the interpretation is usually based on the original image, which is very different from the real shape of the lining defects. Full waveform inversion and reverse time migration are helpful to solve this problem. Full waveform inversion can invert the relative permittivity distribution and reverse time migration can migrate reflection events to their proper locations. Traditional full waveform inversion method is only applicable to cross‐hole ground penetrating radar data or surface multi‐offset ground penetrating radar data. We propose an improved full waveform inversion method which offers satisfactory inversion result for surface common‐offset radar. The forward modelled waveform and the objective function curve show that our new full waveform inversion method is much more accurate than traditional full waveform inversion for common‐offset radar. Traditional reverse time migration has weaker amplitude with increasing depth; we use an energy matrix to improve the imaging effect. Moreover, our reverse time migration is based on the relative permittivity distribution obtained from full waveform inversion, which provides more accurate imaging result. Through several numerical and engineering examples, we discuss the application of both methods in tunnel lining inspection. The results show that for tunnel lining without rebars, the combined methods can give satisfactory imaging results. But the image quality deteriorates rapidly when dealing with rebars.

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Two-dimensional permittivity and conductivity imaging by full waveform inversion of multioffset GPR data: a frequency-domain quasi-Newton approach

Cited by 97 publications

References 54 publications

Full-waveform inversion of GPR data acquired between boreholes in Rustrel carbonates

Full-waveform inversion of GPR data acquired between boreholes in Rustrel carbonates

Quantitative multi-layer electromagnetic induction inversion and full-waveform inversion of crosshole ground penetrating radar data

Application of ground penetrating radar to detect tunnel lining defects based on improved full waveform inversion and reverse time migration

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