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Time-lapse 4-D resistivity imaging inversion with positivity constraints

Loke, M. H. ; Wilkinson, P. B. ; Dahlin, T. LU ; Chambers, J. E. ; Uhlemann, S. and Dijkstra, T. (2018) 24th European Meeting of Environmental and Engineering Geophysics
Abstract

Time-lapse resistivity surveys are used to monitor changes in the subsurface. In some situations, it is known that the resistivity will only decrease (or increase) with time. The 4-D ERT smoothness-constrained inversion method, that includes temporal smoothness constraint, has proved to be a robust method that reduces artefacts due to noise. However, in some cases, the time-lapse inverse models might show an increase in the resistivity with time where it is only expected to decrease. We modify the 4-D ERT inverse method to include a constraint that removes this artefact. The standard 4-D ERT inversion algorithm is first used to generate an initial model. If the resistivity is expected to decrease with time, for the model cells that show... (More)

Time-lapse resistivity surveys are used to monitor changes in the subsurface. In some situations, it is known that the resistivity will only decrease (or increase) with time. The 4-D ERT smoothness-constrained inversion method, that includes temporal smoothness constraint, has proved to be a robust method that reduces artefacts due to noise. However, in some cases, the time-lapse inverse models might show an increase in the resistivity with time where it is only expected to decrease. We modify the 4-D ERT inverse method to include a constraint that removes this artefact. The standard 4-D ERT inversion algorithm is first used to generate an initial model. If the resistivity is expected to decrease with time, for the model cells that show a resistivity increase with time, a truncation procedure is used where the resistivities of the different time models are reset to the mean value (corresponding to zero change with time). We then use the method of transformations in the inversion method that ensures the resistivities of the later time models are always less than the first model. The constraints can be modified so that they are only applied to selected regions in the model in cases where additional information is available.

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author
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organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
24th European Meeting of Environmental and Engineering Geophysics
publisher
European Association of Geoscientists and Engineers
conference name
24th European Meeting of Environmental and Engineering Geophysics
conference location
Porto, Portugal
conference dates
2018-09-09 - 2018-09-13
external identifiers
  • scopus:85084629802
ISBN
9789462822634
DOI
10.3997/2214-4609.201802625
language
English
LU publication?
yes
id
12ce4006-01ba-44d2-9253-e68405d8ee77
date added to LUP
2019-02-07 12:54:51
date last changed
2022-03-25 08:11:31
@inproceedings{12ce4006-01ba-44d2-9253-e68405d8ee77,
  abstract     = {{<p>Time-lapse resistivity surveys are used to monitor changes in the subsurface. In some situations, it is known that the resistivity will only decrease (or increase) with time. The 4-D ERT smoothness-constrained inversion method, that includes temporal smoothness constraint, has proved to be a robust method that reduces artefacts due to noise. However, in some cases, the time-lapse inverse models might show an increase in the resistivity with time where it is only expected to decrease. We modify the 4-D ERT inverse method to include a constraint that removes this artefact. The standard 4-D ERT inversion algorithm is first used to generate an initial model. If the resistivity is expected to decrease with time, for the model cells that show a resistivity increase with time, a truncation procedure is used where the resistivities of the different time models are reset to the mean value (corresponding to zero change with time). We then use the method of transformations in the inversion method that ensures the resistivities of the later time models are always less than the first model. The constraints can be modified so that they are only applied to selected regions in the model in cases where additional information is available.</p>}},
  author       = {{Loke, M. H. and Wilkinson, P. B. and Dahlin, T. and Chambers, J. E. and Uhlemann, S. and Dijkstra, T.}},
  booktitle    = {{24th European Meeting of Environmental and Engineering Geophysics}},
  isbn         = {{9789462822634}},
  language     = {{eng}},
  publisher    = {{European Association of Geoscientists and Engineers}},
  title        = {{Time-lapse 4-D resistivity imaging inversion with positivity constraints}},
  url          = {{http://dx.doi.org/10.3997/2214-4609.201802625}},
  doi          = {{10.3997/2214-4609.201802625}},
  year         = {{2018}},
}