Theory for 1D GPR data inversion for a dissipative layered medium

Bingkun Yang, Evert Slob

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)
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We present a data driven method of full waveform inversion in one dimension. This means that the inversion is carried out as a sequence of processing steps. The first step is known as Marchenko redatuming. In this step we retrieve focusing functions from the measured data. In the second step we isolate the last event in the focusing function to obtain the local reflection coefficient of a particular reflecting boundary. This is done for the dissipative and equivalent effectual model. An effectual medium amplifies a propagating wave in the same way as a dissipative medium attenuates it. From these two models the reflection coefficient of the corresponding lossless medium can be computed. This is then inverted for the electric permittivity. Once the permittivity is found, the individual layer thicknesses are obtained from the travel times. The ratio of the reflection coefficient in the physical and effectual medium provides an estimate of the attenuation in each layer from which the conductivity in each layer can be found. We show that in this case the full waveform inversion is a linear problem. We need reflection and transmission data measured at two sides of the medium. We use an unconditionally convergent iterative technique to compute the focusing functions. The method only needs the up-and downgoing parts of the electric field at the receiver levels. A 1D numerical example with a lossy model shows that the proposed GPR inversion method is effective on modeled data.
Original languageEnglish
Title of host publication2018 17th International Conference on Ground Penetrating Radar, GPR 2018
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Electronic)978-1-5386-5777-5
ISBN (Print)978-1-5386-5778-2
Publication statusPublished - 20 Aug 2018
Event17th International Conference on Ground Penetrating Radar, GPR 2018 - Rapperswil, Switzerland
Duration: 18 Jun 201821 Jun 2018


Conference17th International Conference on Ground Penetrating Radar, GPR 2018

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • focusing function
  • Ground Penetrating Radar (GPR)
  • lossy model
  • Marchenko inversion
  • separated wavefield


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