Constructing a mathematical model and studying numerically the effect of bio-clogging on soil filtration consolidation
DOI:
https://doi.org/10.15587/1729-4061.2021.230238Keywords:
excess heads, bio-clogging, organic waste, finite element method, filtration consolidationAbstract
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
References
- Zaretskii, Yu. K. (1972). Theory of soil consolidation. Israel Program for Scientific Translation.
- DBN V.2.4-3:2010 (2010). Derzhavni budivelni normy Ukrainy. Hidrotekhnichni, enerhetychni ta melioratyvni systemy i sporudy, pidzemni hirnychi vyrobky. Hidrolohichni sporudy. Osnovni polozhennia. Kyiv: Minrehionbud Ukrainy. Available at: https://dbn.co.ua/load/normativy/dbn/1-1-0-802
- DBN V.2.1-10-2009 (2009). Derzhavni budivelni normy Ukrainy. Obiekty budivnytstva ta promyslova produktsiya budivelnoho pryznachennia. Osnovy ta fundamenty budynkiv i sporud. Osnovy ta fundamenty sporud. Osnovni polozhennia proektuvannia. Kyiv: Minrehionbud Ukrainy. Available at: https://dbn.co.ua/load/normativy/dbn/dbn_v21_10_2009/1-1-0-319
- Park, S., Hong, S. (2021). Nonlinear Modeling of Subsidence From a Decade of InSAR Time Series. Geophysical Research Letters, 48 (3). doi: http://doi.org/10.1029/2020gl090970
- Widada, S., Zainuri, M., Yulianto, G., Satriadi, A., Wijaya, Y. (2020). Estimation of Land Subsidence Using Sentinel Image Analysis and Its Relation to Subsurface Lithology Based on Resistivity Data in the Coastal Area of Semarang City, Indonesia. Journal of Ecological Engineering, 21 (8), 47–56. doi: http://doi.org/10.12911/22998993/127394
- Knabe, D., Kludt, C., Jacques, D., Lichtner, P., Engelhardt, I. (2018). Development of a Fully Coupled Biogeochemical Reactive Transport Model to Simulate Microbial Oxidation of Organic Carbon and Pyrite Under Nitrate‐Reducing Conditions. Water Resources Research, 54 (11), 9264–9286. doi: http://doi.org/10.1029/2018wr023202
- Moshynsky, V., Riabova, O. (2013). Approaches to Aquatic Ecosystems Organic Energy Assessment and Modelling. Black Sea Energy Resource Development and Hydrogen Energy Problems. NATO Science for Peace and Security Series C: Environmental Security. Dordrecht: Springer, 125–135. doi: http://doi.org/10.1007/978-94-007-6152-0_12
- Michuta, O. R., Vlasyuk, A. P., Martinyuk, P. N. (2013). Influence of chemical erosion on filtration consolidation of saline soils in nonisothermal conditions. Matematicheskoe modelirovanie, 25 (2), 3–18. Available at: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mm&paperid=3327&option_lang=rus
- Gui, R., Pan, Y., Ding, D., Liu, Y., Zhang, Z. (2018). Experimental Study on Bioclogging in Porous Media during the Radioactive Effluent Percolation. Advances in Civil Engineering, 2018, 1–6. doi: http://doi.org/10.1155/2018/9671371
- Wang, Y., Huo, M., Li, Q., Fan, W., Yang, J., Cui, X. (2018). Comparison of clogging induced by organic and inorganic suspended particles in a porous medium: implications for choosing physical clogging indicators. Journal of Soils and Sediments, 18 (9), 2980–2994. doi: http://doi.org/10.1007/s11368-018-1967-6
- Thullner, M., Regnier, P. (2019). Microbial Controls on the Biogeochemical Dynamics in the Subsurface. Reviews in Mineralogy and Geochemistry, 85 (1), 265–302. doi: http://doi.org/10.2138/rmg.2019.85.9
- Glatstein, D. A., Montoro, M. A., Carro Pérez, M. E., Francisca, F. M. (2017). Hydraulic, Chemical and Biological Coupling on Heavy Metals Transport Through Landfills Liners. The Journal of Solid Waste Technology and Management, 43 (3), 261–269. doi: http://doi.org/10.5276/jswt.2017.261
- Mohanadhas, B., Kumar, G. S. (2019). Numerical Experiments on Fate and Transport of Benzene with Biological Clogging in Vadoze Zone. Environmental Processes, 6 (4), 841–858. doi: http://doi.org/10.1007/s40710-019-00402-w
- Lopez-Peña, L. A., Meulenbroek, B., Vermolen, F. (2019). A network model for the biofilm growth in porous media and its effects on permeability and porosity. Computing and Visualization in Science, 21 (1-6), 11–22. doi: http://doi.org/10.1007/s00791-019-00316-y
- Bohaienko, V., Bulavatsky, V. (2020). Fractional-Fractal Modeling of Filtration-Consolidation Processes in Saline Saturated Soils. Fractal and Fractional, 4 (4), 59. doi: http://doi.org/10.3390/fractalfract4040059
- Józefiak, K., Zbiciak, A., Brzeziński, K., Maślakowski, M. (2021). A Novel Approach to the Analysis of the Soil Consolidation Problem by Using Non-Classical Rheological Schemes. Applied Sciences, 11 (5), 1980. doi: http://doi.org/10.3390/app11051980
- Tian, Y., Wu, W., Jiang, G., El Naggar, M. H., Mei, G., Xu, M., Liang, R. (2020). One‐dimensional consolidation of soil under multistage load based on continuous drainage boundary. International Journal for Numerical and Analytical Methods in Geomechanics, 44 (8), 1170–1183. doi: http://doi.org/10.1002/nag.3055
- Vlasyuk, A. P., Martynyuk, P. M. (2010). Numerical solution of three-dimensional problems of filtration consolidation with regard for the influence of technogenic factors by the method of radial basis functions. Journal of Mathematical Sciences, 171 (5), 632–648. doi: http://doi.org/10.1007/s10958-010-0163-z
- Vlasyuk, A. P., Martynyuk, P. M., Fursovych, O. R. (2009). Numerical solution of a one-dimensional problem of filtration consolidation of saline soils in a nonisothermal regime. Journal of Mathematical Sciences, 160 (4), 525–535. doi: http://doi.org/10.1007/s10958-009-9518-8
- Glatstein, D. A., Francisca, F. M. (2014). Hydraulic conductivity of compacted soils controlled by microbial activity. Environmental Technology, 35 (15), 1886–1892. doi: http://doi.org/10.1080/09593330.2014.885583
- Tang, Q., Gu, F., Zhang, Y., Zhang, Y., Mo, J. (2018). Impact of biological clogging on the barrier performance of landfill liners. Journal of Environmental Management, 222, 44–53. doi: http://doi.org/10.1016/j.jenvman.2018.05.039
- Ulyanchuk-Martyniuk, O., Michuta, O., Ivanchuk, N. (2020). Biocolmation and the finite element modeling of its influence on changes in the head drop in a geobarrier. Eastern-European Journal of Enterprise Technologies, 4 (10 (106)), 18–26. doi: http://doi.org/10.15587/1729-4061.2020.210044
- Gerus, V. A., Martyniuk, P. M. (2015). Generalization of the soil consolidation equation taking into account the influence of physicochemical factors .Bulletin of VN Karazin Kharkiv National University. Series: Mathematical modeling. Information Technology. Automated control systems, 27, 41–52. Available at: http://nbuv.gov.ua/UJRN/VKhIMAM_2015_27_7
- Bulavatsky, V. M., Bohaienko, V. O. (2020). Some Consolidation Dynamics Problems within the Framework of the Biparabolic Mathematical Model and its Fractional-Differential Analog. Cybernetics and Systems Analysis, 56 (5), 770–783. doi: http://doi.org/10.1007/s10559-020-00298-7
- Wang, H.-X., Xu, W., Zhang, Y.-Y., Sun, D.-A. (2021). Simplified solution to one-dimensional consolidation with threshold gradient. Computers and Geotechnics, 131, 103943. doi: http://doi.org/10.1016/j.compgeo.2020.103943
- Araujo, F., Fantucci, H., Nunes, E., Santos, R. M. (2020). Geochemical Modeling Applied in Waste Disposal, and Its Relevance for Municipal Solid Waste Management. Minerals, 10 (10), 846. doi: http://doi.org/10.3390/min10100846
- Rodrigo-Ilarri, J., Rodrigo-Clavero, M.-E., Cassiraga, E. (2020). BIOLEACH: A New Decision Support Model for the Real-Time Management of Municipal Solid Waste Bioreactor Landfills. International Journal of Environmental Research and Public Health, 17 (5), 1675. doi: http://doi.org/10.3390/ijerph17051675
- Sergienko, I. V., Skopetskiy, V. V., Deyneka, V. S. (1991). Matematicheskoe modelirovanie i issledovanie protsessov v neodnorodnykh sredakh. Kyiv: Naukova dumka, 432.
- Ulianchuk-Martyniuk, O. V. (2020). Numerical simulation of the effect of semipermeable properties of clay on the value of concentration jumps of contaminants in a thin geochemical barrier. Eurasian Journal of Mathematical and Computer Applications, 8 (1), 91–104. doi: http://doi.org/10.32523/2306-6172-2020-8-1-91-104
- Šimůnek, J., van Genuchten, M. T., Šejna, M. (2016). Recent Developments and Applications of the HYDRUS Computer Software Packages. Vadose Zone Journal, 15 (7). doi: http://doi.org/10.2136/vzj2016.04.0033
- Clement, T. P., Hooker, B. S., Skeen, R. S. (1996). Macroscopic Models for Predicting Changes in Saturated Porous Media Properties Caused by Microbial Growth. Ground Water, 34 (5), 934–942. doi: http://doi.org/10.1111/j.1745-6584.1996.tb02088.x
- Manfred, B., Jaap, B., Klaus, M., Rolf, M. (2006). Enumeration and Biovolume Determination od Microbial Cells. Microbiological Methods for Assessing Soil Quality. CABI Publishing, 93–113. doi: https://doi.org/10.1079/9780851990989.0093
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Наталія Віталіївна Іванчук, Петро Миколайович Мартинюк, Ольга Романівна Мічута, Євгеній Зіновійович Маланчук, Ганна Олександрівна Шліхта
![Creative Commons License](http://i.creativecommons.org/l/by/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.