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Asymptotics of inverse filtration problem in porous media

Ch. 012109. P. 1–7.
Liudmila Kuzmina, Osipov Y. V., Tzariova V.

Filtration problems arise in the design of tunnels and underground structures. A onedimensional
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.

Language: English
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DOI
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Keywords: asymptotic solution inverse problem porous medium deep bed filtrationnonlinear filtration function

In book

IOP Conference Series: Materials Science and Engineering 1030 (2021) VII International Scientific Conference "Integration, Partnership and Innovation in Construction Science and Education" (IPICSE 2020) 11th-14th November 2020, Tashkent, Uzbekistan
Vol. 1030: VII International Scientific Conference "Integration, Partnership and Innovation in Construction Science and Education" (IPICSE 2020) 11th-14th November 2020, Tashkent, Uzbekistan. , IOP Publishing, 2021.
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