Premium
F.E. solution of a vertically averaged model for regional land subsidence
Author(s) -
Simoni L.,
Schrefler B. A.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620270117
Subject(s) - dimension (graph theory) , displacement (psychology) , subsidence , mathematics , domain (mathematical analysis) , displacement field , dimensional modeling , porous medium , field (mathematics) , mathematical analysis , porosity , geotechnical engineering , geology , computer science , engineering , finite element method , structural engineering , psychology , paleontology , structural basin , database , pure mathematics , psychotherapist
In this paper a mathematical model is presented, based on the application of an averaging technique, in which the equations governing the behaviour of saturated porous media are integrated (averaged) over the smallest dimension of the domain of the problem (thickness). This results in a two dimensional model, in which the three dimensional nature of the problem is accounted for. In fact, the solution is sought in terms of the mean values over the thickness of the field variables and of the transverse displacement components. For the solution of the resulting governing equations a partitioned procedure is employed, which improves the efficiency of the method. The proposed model is very useful in solving problems in which the spatial nature prevents the applications of two dimensional models. Examples are presented, which illustrate the validity of this approach.