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Course# CIVIL-423: Computational geomechanics

Summary

The goal of this course is to introduce the student to modern numerical methods for the solution of coupled & non-linear problems arising in geo-mechanics / geotechnical engineering.

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Related courses (121)

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Lectures in this course (9)

Instructor

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Un MOOC francophone d'algèbre linéaire accessible à tous, enseigné de manière rigoureuse et ne nécessitant aucun prérequis.

Algebra (part 2)

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Related concepts (415)

Computational Geomechanics: Week 4

Explores boundary conditions, time variation in porous media, and storage coefficients in matrices.

Computational Geomechanics: Poroelasticity and Finite Element Methods

Introduces distinct element methods and poroelasticity in computational geomechanics.

Computational Geomechanics: Poroelasticity and Transient Flow

Explores poroelasticity, porosity variation, weak form derivation, and numerical integration in transient flow problems.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Computational Geomechanics: Reverse Teaching Approach

Covers computational geomechanics and the Reverse Teaching approach, including live-streamed lectures and exercise sessions.

I am currently an assistant Professor and the head of the Geo-Energy Lab - Gaznat Chair on GeoEnergy at Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland. Prior to joining EPFL, I have worked for Schlumberger in research and development from 2006 until May 2015 - serving in a variety of roles ranging from project manager to principal scientist in both Europe and the United States. I received my PhD in mechanics from Ecole Polytechnique, France in 2002 and worked as a research scientist in the hydraulic fracturing research group of CSIRO division of Petroleum resources (Melbourne, Australia) from 2003 to 2006. During my time in Schlumberger R&D, I have worked on problems related to the integrity of deep wells, large scale monitoring of reservoir deformation and more specifically on the stimulation of oil and gas wells by hydraulic fracturing. My current research interests cover hydraulic fracture mechanics, mechanics of porous media and dense suspensions flow.

Continuum mechanics

Continuum mechanics is a branch of mechanics that deals with the deformation of and transmission of forces through materials modeled as a continuous mass rather than as discrete particles. The French mathematician Augustin-Louis Cauchy was the first to formulate such models in the 19th century. A continuum model assumes that the substance of the object completely fills the space it occupies. This ignores the fact that matter is made of atoms, however provides a sufficiently accurate description of matter on length scales much greater than that of inter-atomic distances.

Geomechanics

Geomechanics (from the Greek prefix geo- meaning "earth"; and "mechanics") is the study of the mechanical state of the Earth's crust and the processes occurring in it under the influence of natural physical factors. It involves the study of the mechanics of soil and rock. The two main disciplines of geomechanics are soil mechanics and rock mechanics. Former deals with the soil behaviour from a small scale to a landslide scale.

Geological engineering

Geological engineering is a discipline of engineering concerned with the application of geological science and engineering principles to fields, such as civil engineering, mining, environmental engineering, and forestry, among others. The work of geological engineers often directs or supports the work of other engineering disciplines such as assessing the suitability of locations for civil engineering, environmental engineering, mining operations, and oil and gas projects by conducting geological, geoenvironmental, geophysical, and geotechnical studies.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Effective stress

The effective stress can be defined as the stress, depending on the applied tension and pore pressure , which controls the strain or strength behaviour of soil and rock (or a generic porous body) for whatever pore pressure value or, in other terms, the stress which applied over a dry porous body (i.e. at ) provides the same strain or strength behaviour which is observed at ≠ 0. In the case of granular media it can be viewed as a force that keeps a collection of particles rigid.