Abstract
Mathematical modeling and computer simulation methods have been used to investigate the extent of influence exerted by bio-clogging on the dynamics of excess head scattering in the soil massif. To this end, the classical equation of filtration consolidation has been modified for the case of variable porosity resulting from changes in the biomass. The numerical solution to the constructed mathematical model in the form of a nonlinear boundary problem was derived by a finite-element method. Numerical experiments were carried out and their analysis was performed. Specifically, this paper shows the charts of pressure differences in the soil array when neglecting bio-clogging and when estimating the effects exerted by bio-clogging at specific points in time. The numerical experiments demonstrated that in two years after the onset of the consolidation process in the neighborhood of the lower limit of the examined soil mass with a thickness of 10 meters, excess heads fall from the initial value of 10 m to 4 m. The greatest impact from the clogging of pores by microorganisms is revealed in the neighborhood of an upper limit. At a depth of 1 m, at t=180 days, the pressure difference reaches 2.4 m. This is about 200 % of the pressure distribution without taking into account the effects of bio-clogging. Over time, the effect of bacteria on the distribution of pressures in the neighborhood of the upper boundary decreases. However, this effect extends to the entire soil mass, up to the lower limit. Thus, at t=540 days, at the lower limit, the effect of bio-clogging leads to that excess heads are 1.8 m greater than for the case of pure water filtration (a relative increase of about 80 %). Bio-clogging processes are intensified as a result of the development of microorganisms when organic chemicals enter the porous environment. Therefore, from a practical point of view, studying them is especially relevant for household waste storage facilities and the stability of their soil bases. It is advisable to undertake research by using the methods of mathematical modeling and computer simulation
Highlights
The problem of soil compaction has remained acute up to now and is likely to become more relevant due to the intensification of construction work
The purpose of this study is to quantitatively assess the impact of the presence of microorganisms in soil pores on the dynamics of dissipation of excess heads in the soil massif, which is in a state of filtration consolidation
We have improved the mathematical model of filtration consolidation during the filtration of organic matter in the soil array, taking into consideration the effect of bio-clogging
Summary
The problem of soil compaction has remained acute up to now and is likely to become more relevant due to the intensification of construction work. The cited work shows that bio-processes in porous environments, including the development of microorganisms, are important; studying them is an urgent task This is evidenced by results reported in [7]. If the porous environment falls into the zone of influence of organic waste, unlike the classic case, at least two factors affect the dynamics of changes in porosity – applied loads and microorganisms. Investigating this case requires the modification of the classical approach to the study of soil consolidation by mathematical modeling and computer simulation methods
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