Geodesic
Multiple parametric mathematical model of the process of consolidation of inhomogeneous soils
Matematičeskoe modelirovanie, Tome 30 (2018) no. 10, pp. 44-66

Voir la notice de l'article provenant de la source Math-Net.Ru

The basic equations of consolidation of saline soils are compiled for three cases: the phases are incompressible, the effect of the initial pressure gradient is not very significant, the phases are compressible; the influence of the initial pressure gradient is significant. A new nonlinear relationship is established between the sum of the principal stresses and the porosity coefficient, which simultaneously describes three types of inhomogeneity. A function is proposed that characterizes the change in the age of the soil skeleton as a function of spatial coordinates. Properties of the creep parameters included in this dependence are described. It is proved that the property of an inhomogeneous old soil can be described by functions of spatial coordinates. On the basis of this dependence, and based on existing and developed models, a multi-parameter mathematical model of the process of consolidation of soils is constructed, containing previously existing ones. The questions of existence, uniqueness and correctness for the boundary value problem are investigated. The methods of its solution are justified. The possibility of applying the methods of iteration, total approximation and sweep has been proved. The approximation error, stability and convergence of a locally one-dimensional scheme (VOC) are investigated. An estimate of the solution of the problem is given using the sweep formula.
Keywords: soil mechanics, mathematical model, boundary-value problems.
Mots-clés : consolidation 
@article{MM_2018_30_10_a2,
     author = {Sh. Altynbekov},
     title = {Multiple parametric mathematical model of the process of consolidation of inhomogeneous soils},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {44--66},
     publisher = {mathdoc},
     volume = {30},
     number = {10},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_10_a2/}
}
TY  - JOUR
AU  - Sh. Altynbekov
TI  - Multiple parametric mathematical model of the process of consolidation of inhomogeneous soils
JO  - Matematičeskoe modelirovanie
PY  - 2018
SP  - 44
EP  - 66
VL  - 30
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2018_30_10_a2/
LA  - ru
ID  - MM_2018_30_10_a2
ER  - 
%0 Journal Article
%A Sh. Altynbekov
%T Multiple parametric mathematical model of the process of consolidation of inhomogeneous soils
%J Matematičeskoe modelirovanie
%D 2018
%P 44-66
%V 30
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2018_30_10_a2/
%G ru
%F MM_2018_30_10_a2
Sh. Altynbekov. Multiple parametric mathematical model of the process of consolidation of inhomogeneous soils. Matematičeskoe modelirovanie, Tome 30 (2018) no. 10, pp. 44-66. http://geodesic.mathdoc.fr/item/MM_2018_30_10_a2/