CFSG Module B: Recoverable resources with nonlinear methods

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

Objectives

The CFSG (Specialized Training Cycle in Geostatistics) is a high-level training program in mining geostatistics delivered by the Geostatistics Team from Mines Paris and Geovariances. This program aims to equip you with an in-depth understanding of geostatistics for mineral resource estimation, enabling you to create block models your company needs for confident mine planning when you return to work. Throughout the training, you will learn the theoretical aspects of the techniques presented and practice them through various exercises and a real-world project.

CFSG is intended for individuals whose time zone is aligned with Europe (France) and the Americas (Brazil). It will be delivered online in 6 modules over 9 weeks throughout 2024, starting in February.

Module content

This module is the second one of the CFSG series. At the end of it, you will be able to estimate recoverable mineral resources accounting for mining selectivity.

THEORY

  • 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
  • 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

PRACTICE

Several exercises to learn how to run Uniform Conditioning,  Direct Block Simulations and post-processing (statistics, simulation reduction, grade-tonnage curves) with Isatis.neo Mining Edition.

Additional modules

Each module can be attended independently of each other. However, it is important to note that completion of Module A or having experience in geostatistics and Isatis.neo is a prerequisite for participation in any of these modules.

Outlines

  • 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 Paris professors.
    – Geovariances consultants will drive the practical sessions from our French office.
    – For more convenience, these courses are recorded and made available to participants during the session and until one month after the end of the course.
  • A typical training week would then be:
    Monday, Tuesday, Wednesday, and Thursday: theoretical course (on a half-day) and hands-on practice with Isatis.neo Mining Edition (on the half-day following the theoretical course).
    – Friday: homework using Isatis.neo Mining Edition with compulsory rendering at the end of the day. Live corrections and comments from the teaching team. Validation of prior learning.
  • CFSG is a full-time training. You are required to be present/connected for the duration of the sessions.
  • CFSG 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 that officially recognizes the full completion of the module.
  • Course material and a temporary software license are provided.
  • A minimum number of 8 participants is required for a module actually to take place.

Who should attend

The CFSG training program is meant for mining geologists and engineers willing to achieve a high level of geostatistics and boost their careers.

Module A is ideal for newcomers to mining geostatistics. Modules B and F are designed for individuals who wish to delve into more advanced geostatistics.

Prerequisites

The course is delivered in English and requires a good level of this language. Sound notions of mathematics are also recommended.

As the course is online, a good quality internet connection is required. We also appreciate that the participant’s camera is turned on for the session.​


 

Benefit from the trainers’ high expertise in geostatistics

From Mines Paris – PSL

Didier Renard - Mines Paris PSL - CFSG trainer
Didier Renard, PhD
Teacher-researcher in geostatistics
Nicolas Desassis - Mines Paris PSL - CFSG trainer
Nicolas Desassis, PhD
Data-sciences researcher
Mike Pereira - Mines Paris PSL- CFSG trainer
Mike Pereira, PhD
Assistant professor in geostatistics
Thomas Romary - Mines Paris PSL - CFSG trainer
Thomas Romary, PhD
Teacher-researcher in geostatistics

From Geovariances

Jean Langanay - Geovariances - CFSG speaker
Jean Langanay, PhD
Research and Development engineer
Pedram Masoudi - Geovariances - CFSG speaker
Pedram Masoudi, PhD
Geostatistician, Geophysicist
Yvan Assy - Geovariances - CFSG speaker
Yvan Assy, MSc
Geostatistician, Mineral Resource Consultant


 

What alumni say about CFSG

“The CFSG training covered a wide range of geostatistical concepts during the theory sessions. I then had the ability to put these concepts into practice using Isatis.neo, allowing me to confirm my understanding and ask any further questions. I now have a deeper understanding of EDA, estimation, and validation, which will aid me in my current role. My geostatistical tool set has been greatly boosted since completing the CFSG program.”
Marlies Barden – CFSG 2023
Senior Resource Geologist – Mineral Resources Limited
“As an exploration/resource development geologist, the CFSG training program has not only allowed me to understand better geostatistics and resource estimation concepts (EDA, IDW, OK, MIK…), but it has also bridged my career path from a resource development geologist to a resource estimation geologist. Thanks to the Center of Geostatistics of Mines Paris and Geovariances and their very comprehensive CFSG program, I was able to learn and reach my career goal without leaving my job.”
Lassana Sanogo – CFSG 2023
Senior Exploration and Resource Development Geologist – Resolute Mining (Syama Gold Mine)

“Doing the Master of Geostatistics CFSG has not only boosted my career in so many ways, but it has also opened my social and professional network to a whole new level, giving me job opportunities I never thought possible. So don’t miss the chance to solve a Kriging matrix by hand and get in-depth knowledge of what happens behind a few Isatis clicks!”
Flavie Isatelle – CFSG 2018
Senior Resource Geologist/Geostatistician – Cube Consulting

“The CFSG Program allowed me to dive deep into the World of Geostatistics for the first time. In addition to understanding the theoretical principle, I also enjoyed the opportunity to apply the learned theories to practical examples, giving me insight into my daily activities as a Specialist in Resource Estimation. Having a connection with great teachers from the CFSG Centre and Geovariances, I could say,  I had a splendid and wonderful time! Thank you, CFSG Post Graduate Diplome – Mines Paris!”
Ufi Ma’rufianty – CFSG 2010
Mineral Resource Specialist – Harita Group