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  4. An iterative particle filter approach for coupled hydro-geophysical inversion of a controlled infiltration experiment
 
research article

An iterative particle filter approach for coupled hydro-geophysical inversion of a controlled infiltration experiment

Manoli, Gabriele  
•
Rossi, Matteo
•
Pasetto, Damiano
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2015
Journal of Computational Physics

The modeling of unsaturated groundwater flow is affected by a high degree of uncertainty related to both measurement and model errors. Geophysical methods such as Electrical Resistivity Tomography (ERT) can provide useful indirect information on the hydrological processes occurring in the vadose zone. In this paper, we propose and test an iterated particle filter method to solve the coupled hydrogeophysical inverse problem. We focus on an infiltration test monitored by time-lapse ERT and modeled using Richards equation. The goal is to identify hydrological model parameters from ERT electrical potential measurements. Traditional uncoupled inversion relies on the solution of two sequential inverse problems, the first one applied to the ERT measurements, the second one to Richards equation. This approach does not ensure an accurate quantitative description of the physical state, typically violating mass balance. To avoid one of these two inversions and incorporate in the process more physical simulation constraints, we cast the problem within the framework of a SIR (Sequential Importance Resampling) data assimilation approach that uses a Richards equation solver to model the hydrological dynamics and a forward ERT simulator combined with Archie's law to serve as measurement model. ERT observations are then used to update the state of the system as well as to estimate the model parameters and their posterior distribution. The limitations of the traditional sequential Bayesian approach are investigated and an innovative iterative approach is proposed to estimate the model parameters with high accuracy. The numerical properties of the developed algorithm are verified on both homogeneous and heterogeneous synthetic test cases based on a real-world field experiment.

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Type
research article
DOI
10.1016/j.jcp.2014.11.035
Author(s)
Manoli, Gabriele  
Rossi, Matteo
Pasetto, Damiano
Deiana, Rita
Ferraris, Stefano
Cassiani, Giorgio
Putti, Mario
Date Issued

2015

Published in
Journal of Computational Physics
Volume

283

Start page

37

End page

51

Editorial or Peer reviewed

NON-REVIEWED

Written at

OTHER

EPFL units
URBES  
Available on Infoscience
October 5, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/191222
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