Subsidence diffusion-convection: I. The direct problem

Vardoulakis, I; Vairaktaris, E; Papamichos, E

dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Vairaktaris, E	en
dc.contributor.author	Papamichos, E	en
dc.date.accessioned	2014-03-01T01:21:34Z
dc.date.available	2014-03-01T01:21:34Z
dc.date.issued	2004	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16259
dc.subject	Effective Stress	en
dc.subject	Integral Equation	en
dc.subject	Large Scale	en
dc.subject	Markov Process	en
dc.subject	Partial Differential Equation	en
dc.subject	Shear Bands	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.title	Subsidence diffusion-convection: I. The direct problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2003.10.019	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2003.10.019	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Compaction of a collapsible substratum due to effective stress increase may give rise to the formation of the well-known trap-door mechanism. According to Litwiniszyn's theory, large-scale subsidence over a yielding underground geo-structure is seen as a stochastic (Markov) process. In simple terms we assume here that the displacement of a particle in vertical direction is diffused to both horizontal and vertical displacement for the particles lying above it. This process may be called kinematic diffusion, since it leads to the Einstein-Kolmogorov (E-K) integral equation. Moreover, following the observations in small-scale model experiments, we assume that the process is always confined between a set of steeply inclined shear bands, whose inclination is evolving. Under certain mathematical transformations the E-K integral equation reduces to a partial differential equation of parabolic type. The solution depends on a diffusivity coefficient, which determines the formation of the subsidence trough inside the body as well as in the surface. (C) 2004 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING	en
dc.identifier.doi	10.1016/j.cma.2003.10.019	en
dc.identifier.isi	ISI:000221974100007	en
dc.identifier.volume	193	en
dc.identifier.issue	27-29	en
dc.identifier.spage	2745	en
dc.identifier.epage	2760	en