Multicomponent 3D imaging of ground penetrating radar data using matrix inversion in the spatial Fourier domain

J. van der Kruk; C. P. A. Wapenaar; Jacob T. Fokkema

doi:10.1117/12.383621

27 April 2000 Multicomponent 3D imaging of ground penetrating radar data using matrix inversion in the spatial Fourier domain

J. van der Kruk, C. P. A. Wapenaar, Jacob T. Fokkema

Author Affiliations +

Proceedings Volume 4084, Eighth International Conference on Ground Penetrating Radar; (2000) https://doi.org/10.1117/12.383621
Event: 8th International Conference on Ground Penetrating Radar, 2000, Gold Coast, Australia

Abstract

Three-dimensional imaging of ground penetrating radar data is a challenging task. Most imaging procedures are based on scalar seismic imaging algorithms. However, for electro- magnetic imaging the vectorial character of the emitted field and the radiation characteristics of the source and the receiver play an important role. In this paper a new imaging algorithm is presented, which is dedicated to the electromagnetic case. The vectorial character of the electromagnetic waves is taken into account for a monostatic fixed offset ground penetrating radar (gpr) survey, when the source and receiver are present on a dielectric medium. The forward model is described by the 3D wave field extrapolator which takes into account the vectorial character of the electromagnetic field. The imaging algorithm is based on an approximate inverse of this 3D wave field extrapolator, which is determined in the spatial Fourier domain. For a homogeneous space and a zero-offset configuration it is feasible to carry out an analytical approximation of the inverse operator. The approximate inverse of a scalar 3D wave field extrapolator is not stable, which motivates the use of a multi-component imaging algorithm. For two homogeneous halfspaces it is not feasible to carry out a similar analytical approach. However, in numerical sense the same procedure can be carried out, which has the important benefit that also the offset between the source and receiver can be taken into account. Numerical results are presented for a point scatterer in a homogeneous space, which indicates the spatial resolution which can be obtained. Imaging results of experiments are presented, which take into account the vectorial character of the measured electric field, the offset between the source and receiver and the presence of two homogeneous halfspaces.

Citation Download Citation

J. van der Kruk, C. P. A. Wapenaar, and Jacob T. Fokkema "Multicomponent 3D imaging of ground penetrating radar data using matrix inversion in the spatial Fourier domain", Proc. SPIE 4084, Eighth International Conference on Ground Penetrating Radar, (27 April 2000); https://doi.org/10.1117/12.383621

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available