Model of discrete continuum with movable fragments

Igor Garagash

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


For studying the main properties of poorly consolidated granular media typical for oil reservoirs we used the face-centered packing of elastic spheres interacting in accordance with the Hertz solution. Motion of a single ball in cooperation with neighboring particles is investigated. It is shown that the equation of motion of the ball in this case coincides with the standard form of the Mathieu equation for which is realized phenomenon of parametric resonance. Dynamics of a chain of balls with variable contact surface is considered. It is shown that the corresponding strain measure of the granular medium is a generalization of the Green strain tensor, which depends on the degree of initial consolidation).

Original languageEnglish
Title of host publicationISRM Regional Symposium, EUROCK 2015
PublisherInternational Society for Rock Mechanics
Number of pages6
ISBN (Print)9783950389814
Publication statusPublished - 2015
Externally publishedYes
EventISRM Regional Symposium, EUROCK 2015 - Salzburg, Austria
Duration: 7 Oct 201510 Oct 2015

Publication series

NameISRM Regional Symposium, EUROCK 2015


ConferenceISRM Regional Symposium, EUROCK 2015


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