Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) на платформе Web of Science
  • Modelling Of Transport And Capture Of Particles In A Porous Medium
  • UDC 624.131.372 DOI: 10.33622/0869-7019.2019.11.56-60
    Yuri V. OSIPOV, e-mail:
    Yulia G. ZHEGLOVA, e-mail:
    Moscow State University of Civil Engineering (National Research University), Yaroslavskoe shosse, 26, Moscow 129337, Russian Federation
    Abstract. The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.
    Key words: filtration problem, porous medium, transport and capture of particles, dimensional mechanism of particles capture, global asymptotics.
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  • For citation: Osipov Yu. V., Zheglova Yu. G. Modelling of Transport and Capture of Particles in a Porous Medium. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2019, no. 11, pp. 56-60. (In Russian). DOI: 10.33622/0869-7019.2019.11.56-60.