Case studies of incorporation of prior information in electrical resistivity tomography: comparison of different approaches

  title={Case studies of incorporation of prior information in electrical resistivity tomography: comparison of different approaches},
  author={David Caterina and Thomas Hermans and Fr{\'e}d{\'e}ric Nguyen},
  journal={Near Surface Geophysics},
Many geophysical inverse problems are ill-posed and their solution non-unique. It is thus important to reduce the amount of mathematical solutions to more geologically plausible models by regularizing the inverse problem and incorporating all available prior information in the inversion process. We compare three different ways to incorporate prior information for electrical resistivity tomography (ERT): using a simple reference model, adding structural constraints to Occam’s inversion and using… 

Covariance-constrained difference inversion of time-lapse electrical resistivity tomography data

ABSTRACTHydrogeophysics has become a major field of research in the past two decades, and time-lapse electrical resistivity tomography (ERT) is one of the most popular techniques to monitor passive

Constrained electrical resistivity tomography Bayesian inversion using inverse Matérn covariance matrix

Bayesian inversion using maximum a posteriori estimator is a quantitative approach that has been successfully applied to the electrical resistivity tomography inverse problem. In most approaches,

Facies discrimination with electrical resistivity tomography using a probabilistic methodology : effect of sensitivity and regularization

Electrical resistivity tomography has become a standard geophysical method in the field of hydrogeology, as it has the potential to provide important information regarding the spatial distribution

Enhancing the information content of geophysical data for nuclear site characterisation

This thesis examines various aspects of uncertainty in ERT and develops new methods to better use geophysical data quantitatively and proposes that the various steps in the general workflow of an ERT study can be viewed as a pipeline for information and uncertainty propagation and suggested some areas have been understudied.

A new approach for time-lapse data weighting in electrical resistivity tomography

ABSTRACTApplications of time-lapse inversion of electrical resistivity tomography allow monitoring variations in the subsurface that play a key role in a variety of contexts. The inversion of

Uncertainty in training image‐based inversion of hydraulic head data constrained to ERT data: Workflow and case study

A workflow inspired by a Popper‐Bayes philosophy that data should first be used to falsify models, then only be considered for matching, is proposed, highlighting the importance of considering and estimating prior uncertainty (without data) through a process of probabilistic falsification.


The inversion of geoelectric data is non-unique. Therefore, electric resistivity tomography (ERT) usually results in different subsurface models that fit observed apparent resistivity values equally



Constrained resistivity inversion using seismic data

SUMMARY In this paper we describe and apply a method for constraining structure in anisotropic electrical resistivity inversion. Structural constraints are routinely used to achieve improved model

Improved hydrogeophysical characterization using joint inversion of cross‐hole electrical resistance and ground‐penetrating radar traveltime data

Appropriate regularizations of geophysical inverse problems and joint inversion of different data types improve geophysical models and increase their usefulness in hydrogeological studies. We have

Imaging artificial salt water infiltration using electrical resistivity tomography constrained by geostatistical data

A comparison study of different image appraisal tools for electrical resistivity tomography

To date, few studies offer a quantitative comparison of the performance of image appraisal tools. Moreover, there is no commonly accepted methodology to handle them even though it is a crucial aspect

A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys

Two-dimensional electrical imaging surveys are now widely used in engineering and environmental surveys to map moderately complex structures. In order to adequately resolve such structures with

A new sensitivity-controlled focusing regularization scheme for the inversion of induced polarization data based on the minimum gradient support

We present a new application of a focusing regularization scheme for the inversion of resistivity and induced polarization (IP) data that supports large resistivity magnitude and phase contrasts.

The effects of noise on Occam's inversion of resistivity tomography data

An Occam's inversion algorithm for crosshole resistivity data that uses a finite-element method forward solution is discussed. For the inverse algorithm, the earth is discretized into a series of

Incorporating geostatistical constraints in nonlinear inversion problems

In this paper we present a method of incorporating semivariogram constraints into nonlinear inversion problems. That is, we describe a method of sampling the space of inverse solutions that honor a