Integral Conjugation Conditions for a Discontinuous Filtration Flow via a Geobarrer in the Case of Its Biocolmatation

Abstract

In the article, modified conjugation conditions of non-ideal contact have been derived for the filtration rate when passing through a thin porous geobarrier. Their feature is taking into account the influence on the change in the porosity of the geo-barrier by the dynamic bioclamation processes. Accounting for this effect leads to the appearance under conjugation conditions of time derivatives on microbial biomass concentration. As a result, the filtration flow of the pore fluid may be discontinuous when passing through the geo-barrier. The case of conjugation conditions has been considered when the concentration of microorganisms over the thickness of the inclusion can be approximated by a linear dependence.