Open AccessAsymptotics of inverse filtration problem in porous media
Author(s) -
Liudmila Kuzmina,
Yu. V. Osipov,
Victoria Tzariova
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1030/1/012109
Subject(s) - filtration (mathematics) , porous medium , inverse , suspension (topology) , function (biology) , inverse problem , nonlinear system , homogeneous , porosity , mathematics , mechanics , materials science , mathematical analysis , physics , geometry , composite material , statistics , quantum mechanics , combinatorics , evolutionary biology , homotopy , pure mathematics , biology
Filtration problems arise in the design of tunnels and underground structures. A one-dimensional filtration model of a monodisperse suspension in a homogeneous porous medium is considered. For a general nonlinear filtration function, an asymptotic solution is constructed behind the concentrations front of suspended and retained particles. It is shown that the asymptotics is close to the numerical solution. Comparison of the asymptotics with the suspended particles concentration at the outlet of the porous medium allows solving the inverse filtration problem on finding the nonlinear filtration function. The proposed method allows to obtain the filtration function based on the results of standard laboratory experiments.