Joint estimation of tiltmeter drift and volume variation during reservoir monitoring

  • S. FurstEmail author
  • J. Chéry
  • B. Mohammadi
  • M. Peyret
Original Article


Borehole tiltmeters are widely used to continuously record small surface deformation of reservoirs and volcanoes. Because these instruments display unknown long-term drift, only short-term tilt signal can be used for monitoring purpose. We propose a method to invert long-term time series of tilt data induced by strain variations at depth. The assumption that tiltmeter drift is linear over time is on its own insufficient to remove the drift and uniquely determine the deformation source parameters. To overcome this problem, we first invert the data with no constrain on the drift to obtain one particular solution among all admissible. Then, using the linearity of the forward model, we use the statistical properties of the drift distributions to restore the uniqueness of the solution. We illustrate our approach with four synthetic cases simulating volume changes of a reservoir. We demonstrate the efficiency of our method and show that the accuracy of estimated volume variation dramatically improves if low drift tiltmeters are used.


Modelling Tiltmeters Long-term drift Volcano geodesy Reservoirs monitoring 



The Ph.D. of S. Furst is supported by the Total Company and the LabEx NUMEV Project (No. ANR-10-LABX-20) funded by the “Investissements d’Avenir” French Government programme, managed by the French National Research Agency (ANR).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.GM, University of Montpellier and University of Antilles, CNRSMontpellierFrance
  2. 2.IMAG University of Montpellier, CNRSMontpellierFrance

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