CFSG 2022 – Module 3 – Recoverable resources

Learn how to compute recoverable resources considering mining selectivity and quantify the uncertainties.


The Specialized Training Cycle in Geostatistics, known as CFSG, is a high-level training program in mining geostatistics delivered by the Geostatistics Team from MINES ParisTech and Geovariances. Its objective is to give you a comprehensive and deep knowledge of geostatistics for mineral resource estimation so that, when you return to work, you will be able to build the block models that your company needs for confident mine planning. By attending the program, you learn the theory behind the techniques presented to you and practice them through numerous exercises and a real-life project.

The 2022 edition of CFSG is delivered online in 6 modules over 10 weeks starting from February 2022. This module is the third one of the series. At the end of it, you will be able to estimate recoverable mineral resources accounting for mining selectivity.


  • Half of the training program is devoted to methodological presentations, the other half to practical exercises to deepen the understanding of concepts.
    – The methodological courses are given
    by MINES ParisTech professors and are scheduled in order to match the time zone of the audience. For more convenience, these courses are recorded and made available to participants.
    The practical sessions will be driven by Geovariances’ consultants, either from our French office (for those whose time zone is compatible with the French one) or from our Australian and Brazilian offices for the other participants.
  • A typical training week would then be:
    – Monday, Tuesday, and Wednesday: theoretical course (on a half-day) and hands-on practice with Isatis.neo Mining Edition (on the half-day following the theoretical course).
    – Thursday or Friday: Homework using Isatis.neo Mining Edition with compulsory rendering at the end of the day.
    – Friday: Live correction and comments from the teaching team. Validation of prior learning.
  • CFSG 2022 is a certification training. The knowledge acquired in each module is validated through an examination. At the end of each module, you will get a training certificate with a distinction giving official recognition to the full completion of the module.
  • Course material and a temporary software license are provided.
  • A minimum number of 5 participants is required for a module to actually take place.

Who should attend

CFSG training program is meant for mining geologists and engineers who are willing to achieve a high level in geostatistics.



  • Selectivity curves for recoverable resources
    – Reminders:
    . Rules for selection: cutoff and support (sample vs. Selective Mining Unit)
    . Tonnage, Average Grade, Metal and Conventional Benefit
    . Support effect of the variable
    . Information effect
    – Limitations of Linear Kriging
    – Non-linear estimation vs. simulations
  • Gaussian Simulations
    – Why resort to the Gaussian Model?
    – Transform from Raw to Gaussian quantities: Normal score and Anamorphosis
    – Properties (univariate, multivariate), covariance function
    – Simulation techniques: Sequential Gaussian Simulations, Turning Bands Simulations, Conditioning Kriging
  • Non-linear models
    The indicator approach:
    – Coding data into indicators
    – Indicator properties
    – Simple models (mosaïc, diffusive)
    – Simple and cross-variograms of indicators
    – Transition probabilities (border effect)
    – Cokriging of indicators and post-processing
    The Top-Cut Model:
    – Splitting the input variable into three parts: the capped grade, the exceedance, and the indicator of the exceedance
    – The modeling stage: choosing the threshold for capping and variogram fitting
    – Cokriging the three ingredients
    The Gaussian approach:
    – Translating the Anamorphosis function into Hermite polynomials
    – Conditional Expectation, Multi-gaussian Ordinary Kriging
    – Example: lognormal kriging
    Change of support:
    – Global viewpoint:
    . Change of support and Information  Effect
    . Selectivity curves at different support sizes
    – Local viewpoint:
    . Discretizing the orebody into small blocks
    . The multi-support model (panel, block, and point)
    . Processing: Conditional Expectation, Direct Block Simulation, Uniform Conditioning


Several exercises to learn how to run point and block simulations, Uniform Conditioning, and Direct Block Simulations with Isatis.neo Mining Edition.


Participants are requested to have attended CFSG 2022 first module.

We recall that CFSG 2022 is made of 6 modules:
Module 1: Geostatistics Fundamentals
Module 2: Advanced in-situ resources
Module 3: Recoverable resources
Module 4: Facies simulations
Module 5: Domaining
Module 6: Handling big data sets

Please note that Module 1 is mandatory. Modules 2 to 6 can be attended à la carte, according to your needs, independently from each other.

We offer a 25% discount on the purchase of all 6 modules.

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