Analysis of an iterative deconvolution approach for estimating the source wavelet during waveform inversion of crosshole georadar data

Belina, F.A.; Irving, James; Ernst, Jacques; Holliger, Klaus

doi:10.1016/j.jappgeo.2011.05.003

Cited by 7 publications

(2 citation statements)

References 34 publications

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“…Recent theoretical developments have further established FWI as a reliable interpretation tool for GPR acquisitions and especially for crosshole/borehole-to-surface hydrogeological surveys [15]. In particular, source deconvolution [31], [32] and using the ratio of two electromagnetic field parameters [33] have been successfully applied for removing the effects of the unknown source wavelet. Moreover, in an effort to reduce the computational requirements, 2.5D forward solvers and 2D to 3D transformations have been proposed in order to replace costly 3D simulations [34].…”

Section: Introductionmentioning

confidence: 99%

Fractal-Constrained Crosshole/Borehole-to-Surface Full-Waveform Inversion for Hydrogeological Applications Using Ground-Penetrating Radar

Giannakis

Giannopoulos

Warren

et al. 2022

IEEE Trans. Geosci. Remote Sensing

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Full waveform inversion (FWI) is considered one of the most promising interpretation tools for hydro-geological applications using ground-penetrating radar. However, FWI has had limited practical uptake for several reasons: large computational requirements; an inability to reconstruct loss mechanisms of soil; and the need for a good initial starting model. We aim to address these issues via a novel FWI subject to a fractallycorrelated distribution of water. Initially, the dispersive properties of the soil are expressed as a function of the water fraction using a semi-empirical model. This approach means the permittivity, conductivity, and relaxation mechanisms are all correlated, and therefore sensitivity problems between the permittivity and loss mechanisms no longer affect the performance of FWI. Subsequently, the distribution of the water fraction is constrained to follow a fractal geometry. Fractal-correlated noise is then compressed using principal component analysis (PCA) in order to further reduce the number of the system's unknowns and accelerate FWI. PCA reduces the volume and dimensions of the optimization space, and thus, initialisation is no longer necessary. Lastly, a novel measurement configuration is suggested that uses superposition with all the individual measurements in order to reduce the number of forward models that need to be executed for every iteration of FWI. These enhancements substantially reduce the computational requirements of FWI and therefore eliminate the need for high-performance computers and time-consuming algorithms. The proposed scheme has been successfully tested with several numerical case-studies, which indicate the potential of this approach to become a commerciallyappealing interpretation tool for hydro-geology.

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Section: Introductionmentioning

confidence: 99%

Fractal-Constrained Crosshole/Borehole-to-Surface Full-Waveform Inversion for Hydrogeological Applications Using Ground-Penetrating Radar

Giannakis

Giannopoulos

Warren

et al. 2022

IEEE Trans. Geosci. Remote Sensing

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“…In particular, a hybrid least-squares/simplex-search FWI is employed in [40], assuming a homogeneous half space and using a single dipole to describe the antenna system. In [41] and [42] a FWI scheme is proposed in which the pulse is part of the unknowns and the applicability of multiple wavelets is examined to address the fact that the effective wavelet is affected by the location of the transmitter. This results from describing the antenna with a single point source without incorporating its physical structure in the numerical model.…”

Section: Introductionmentioning

confidence: 99%

Realistic FDTD GPR Antenna Models Optimized Using a Novel Linear/Nonlinear Full-Waveform Inversion

Giannakis

Giannopoulos

Warren

2019

IEEE Trans. Geosci. Remote Sensing

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Finite-Difference Time-Domain (FDTD) forward modelling of Ground Penetrating Radar (GPR) is becoming regularly used in model-based interpretation methods like full waveform inversion (FWI) and machine learning schemes. Oversimplifications in such forward models can compromise the accuracy and realism with which real GPR responses can be simulated, which degrades the overall performance of interpretation techniques. A forward model must be able to accurately simulate every part of the GPR problem that affects the resulting scattered field. A key element, especially for near-field applications, is the antenna system. Therefore the model must contain a complete description of the antenna, including the excitation source and waveform, the geometry, and the dielectric properties of any materials in the antenna. The challenge is that some of these parameters are not known or cannot be easily measured, especially for commercial GPR antennas that are used in practice. We present a novel hybrid linear/nonlinear FWI approach which can be used, with only knowledge of the basic antenna geometry, to simultaneously optimise the dielectric properties and excitation waveform of the antenna, and minimise the error between real and synthetic data. The accuracy and stability of our proposed methodology is demonstrated by successfully modelling a Geophysical Survey Systems (GSSI) Inc. 1.5 GHz commercial antenna. Our framework allows accurate models of GPR antennas to be developed without requiring detailed knowledge of every component of the antenna. This is significant because it allows commercial GPR antennas, regularly used in GPR surveys, to be more readily simulated.

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Time-lapse ground penetrating radar full-waveform inversion to detect tracer plumes: Numerical study

Haruzi

Schmäck

Zhen

et al. 2021

Preprint

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Time-lapse geophysical imaging of tracer tests is essential to infer channelized transport properties. Cross-hole ground-penetrating radar (GPR) tomography is a high resolution imaging method to characterize the near-surface. We present preliminary results of crosshole GPR fullwaveform inversion of time-lapse synthetic data during a saline tracer test. The tracer movement was obtained from a 3D transport simulation in a hydrogeological model representing the Krauthausen aquifer where in future also field tests will be performed. The full-waveform inversion accurately resolved the infiltrated tracer distribution in the plane within decimeter scale. The results indicate the potential of GPR full-waveform inversion for saline tracer detection and high-resolution time-lapse transport characterization.

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Analysis of an iterative deconvolution approach for estimating the source wavelet during waveform inversion of crosshole georadar data

Cited by 7 publications

References 34 publications

Fractal-Constrained Crosshole/Borehole-to-Surface Full-Waveform Inversion for Hydrogeological Applications Using Ground-Penetrating Radar

Fractal-Constrained Crosshole/Borehole-to-Surface Full-Waveform Inversion for Hydrogeological Applications Using Ground-Penetrating Radar

Realistic FDTD GPR Antenna Models Optimized Using a Novel Linear/Nonlinear Full-Waveform Inversion

Time-lapse ground penetrating radar full-waveform inversion to detect tracer plumes: Numerical study

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