Jakub Nieć 1  
Marcin Spychała 1  
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Faculty of Land Reclamation and Environmental Engineering, University of Life Sciences in Poznan, Wojska Polskiego 28, 60-637 Poznań, Poland
Publish date: 2016-04-01
J. Ecol. Eng. 2016; 17(2):97–107
The deep bed filtration model elaborated by Iwasaki has many applications, e.g. solids removal from wastewater. Its main parameter, filter coefficient, is directly related to removal efficiency and depends on filter depth and time of operation. In this paper the authors have proposed a new approach to modelling, describing dry organic mass from septic tank effluent and biomass distribution in a sand filter. In this approach the variable filter coefficient value was used as affected by depth and time of operation and the live biomass concentration distribution was approximated by a logistic function. Relatively stable biomass contents in deeper beds compartments were observed in empirical studies. The Iwasaki equations associated with the logistic function can predict volatile suspended solids deposition and biomass content in sand filters. The comparison between the model and empirical data for filtration lasting 10 and 20 days showed a relatively good agreement.
Aggrey S.E. 2002. Comparison of three nonlinear and spline regression models for describing chicken growth curves., Poultry Science 81, 1782–1788.
Bai R., Tien C.A. 1996. New correlation for the initial filter coefficient under unfavorable surface interactions. J. Colloid. Interf. Sci. 179, 631–634.
Bedrikovetsky P., Siqueira F.D., Furtado C.A., Souza A.L-S. 2011. Modified particle detachment model for colloidal transport in porous media. Transport in Porous Med. 86, 353–383.
Begon M., Mortimer M. 1981. Population ecology: A unified study of animals and plants. Oxford: Blackwell Scientific Publications.
Błażejewski R., Murat-Błażejewska S. 1997 Soil clogging phenomena in constructed wetlands with subsurface flow. Water Sci Technol. 35(5), 183–188.
Bouma J. 1975. Unsaturated flow during soil treatment of STE. J. Environ. Eng. Proc. ASCE 101, 967–983.
Bradford S.A., Simunek J., Bettahar M., Van Genuchten M.T., Yates S.R. 2003. Modeling colloid attachment, straining, and exclusion in saturated porous media. Journal of Environmental Science and Technology 37, 2242–2250.
Brovelli A., Malaguerra F., Barry D.A. 2009 Bioclogging in porous media: Model development and sensitivity to initial conditions. Environmental Modelling & Software 24, 611–626.
Burchak T.V. 1978 Infiltracionnye bassejnyIzdatelstvo Budivelnik. Kiev (in Ukrainian).
Campos L.C. 2002. Modelling and simulation of the biological and physical processes of slow sand filtration. Ph D thesis, Imperial College of Science, Technology and Medicine, London.
Cowan P.A., Middlebrooks E.J. 1980. A model and design equations for the intermittent sand filtration. Environmental International, 4, 339–350.
De Vries J. 1972 Soil filtration of wastewater effluent and the mechanism of pore clogging. Journal WPCF, 44 (4): 565 – 573.
Duncan C.S., Reneau J., Hagedorn C. 1994. Impact of effluent quality and soil depth on renovation of domestic wastewater. Proceedings of the 7th National Symposium on Individual and Small Community Sewage Systems, ASAE, St. Joseph, Mich., 219–228.
Elimelech M., O’Melia C.R. 1990. Effect of particle size on collision efficiency in the deposition of Brownian particles with electrostatic barriers. Langmuir 6 (6): 1153–1163.
Fallah H., Fathi H.B., Mohammadi H. 2012. The mathematical model for particle suspension flow through porous medium. Geomaterials 2: 57–62.
Farajzadeh R. 2004. Produced water re-injection (PWRI): an experimental investigation into internal filtration and external cake build up. PhD, Delft University of Technology, The Netherlands.
Foppen J.W.A., Schijven J.F. 2006. Evaluation of data from the literature on the transport and survival of Escherichia Coli in aquifers under saturated conditions. Water Res. 40(3): 401–426.
Fresco L.F.M. 1973 A model for plant growth. Estimation of the parameters of the logistic function.Acta Botanica Neerlandica 22(5): 486–489.
Herzig J.P., Leclerc D.M., Le Goff P. 1970. Flow of suspension through porous media-application to deep filtration. J. Ind. Eng. Chem. 65(5): 8–35.
Ives K.J. 1960. Rational design of filters. Proc. of the Inst. of Civil Engineers16(2): 189–193.
Ives K.J. 1969. Theory of filtration. Special Subject No. 7, IWSA Congress, Vienna, 1591.
Ives K.J. 1975. Capture Mechanisms in Filtration. NATO Advanced Study Institute, Series E, Applied Sciences, No. 2, Noordhoff International, Leyden.
Iwasaki T., Slade Jr. J.J., Stanley Wm. E. 1937. Some notes on sand filtration. J. Am. Water Works Ass. 29(10): 1591–1602.
Jabur H. 1976. Slow Sand filters and its role in water treatment. Ph D Thesis, Hungarian Academy of Sciences, Hungarian.
Jabur H.S., Mårtensson J., Öllös G. 2005. Some notes on hydraulics and a mathematical description of slow sand filtration. Vatten 61, 193–200.
Jegatheesan V., Vigneswaran S. 1997. The effect of concentration on the early stages of deep bed filtration of submicron particles. Water Res. 31(11), 2910–2913.
Jegatheesan V. 1999. Effect of surface chemistry in the transient stages of deep bed filtration. Ph D Thesis, University of Technology, Sydney.
Kawanishi T., Kawashima H., Chihara K., Suzuki M. 1989. Effect of biological clogging on infiltration rate in the soil treatment systems. Proceedings of the International Specialized Conference on Design and Operation of Small Wastewater Treatment Plants, Trondheim, Norway pp. 105–112.
Keir G., Jegatheesan V., Vigneswaran S. 2009. Deep bed filtration: Modelling theory and practice. Waste pp 1-6, Oxford: EOLSS Publishers.
Knowles P., Dotrob G., Nivala J., García J. 2011. Clogging in subsurface-flow treatment wetlands: Occurrence and contributing factors. Ecol. Eng. 37: 99–112.
Laak R. 1970 Influence of domestic wastewater pretreatment on soil clogging. Journal Water Pollution Control Fed. 1495–1500.
Laak R. 1986 Wastewater Engineering Design for Unsewered Areas. Technomic Publishing Co., Inc, Basel-Lancaster.
Langenbach K., Kuschk P., Horn H., Kästner M. 2010. Modeling of slow sand filtration for disinfection of secondary clarifier effluent. Water Res. 44: 159–166.
Leverenz H.L., Tchobanoglous G., Darby J.-L. 2009. Clogging in intermittently dosed sand filters used for wastewater treatment, Water Res. 43: 695–705.
Logan B.E., Jewett D.G., Arnold R.G., Bouwer E.J., O’Melia C.-R. 1995. Clarification of clean-bed filtration models. J. Environ. Eng. 121: 869–873.
Logan D.J. 2001. Transport modeling in hydrogeochemical systems. Publisher: Springer, New York, USA, 30–34.
Miller D.A., Sack W.A., Dix S.P.; Misaghi F.K., Lambert M.E. 1994. Solid accumulation in recirculating sand filters. Proceedings of the 7th National Symposium on Individual and Small Community Sewage Systems, Atlanta, ASAE.
Min X., Shu L., Li W., Appiah-Adjei E. –K. 2013. Influence of particle distribution on filter coefficient in the initial stage of filtration. Korean J. Chem. Eng. 30(2), 456–464.
Mostafa M., Van Geel P.J. 2007. Conceptual models and simulations for biological clogging in unsaturated soils.
Nieć J., Spychała M., 2014. Hydraulic conductivity estimation test impact on long-term acceptance rate and soil absorption system design. Water 6(9), 2808–2820.
Öllös G., Vizellatas 1987. Aqua, Kiado, Budapest.
Pell M., Ljunggren H. 1996. Composition of the bacterial population in sand-filter columns receiving artificial wastewater, evaluated by soft independent modelling of class analogy (SIMCA). Water Res. 30(10), 2479–2487.
Platzer C., Mauch K. 1997. Soil clogging in vertical flow reed beds - mechanisms, parameters, consequences and solutions? Water Sci. Technol. 35(5), 175–181.
Puigagut J., Caselles-Osorio A., Vaello N., García J. 2008. Fractionation, biodegradability, and particle-size distribution of organic matter in horizontal subsurface-flow constructed wetlands. Dordrecht, Springer, 21.
Renman A., Hylander L.D., Renman G. 2008 Transformation and removal of nitrogen in reactive bed filter materials designed for on-site wastewater treatment. Ecological Engineering 34, 207–214.
Rhodes M. 2008. Introduction to Particle Technology. 2nd Edition. Chichester: John Wiley & Sons Ltd.
Santos A,; Bedrikovetsky P.; Fontoura S. 2008 Analytical micro model for size exclusion: Pore blocking and permeability reduction. J. Membrane Sci. 308(1-2), 115–127.
Shehabi A., Stokes J.R., Horvath A. 2012. Energy and air emission implications of a decentralized wastewater system. Environ. Res. Letters 7(2), 1–6.
Siegrist R.L. 1987. Soil clogging during subsurface wastewater infiltration as affected by effluent composition and loading rate. J. Environ. Qual. 16(2), 181–187.
Spychała M. 2003. Contaminants removal efficiency of sand filters treating septic tank effluent. Rocznik Akademii Rolniczej w Poznaniu 24, 191–198 (in Polish).
Spychała M., Błażejewski R. 2003. Sand filter clogging by septic tank effluent. Water Sci. Technol. 48(11), 153–159.
Spychała M., Nieć J., Pawlak M. 2013. Preliminary study on filamentous particle distribution in septic tank effluent and their impact on filter cake development. Environ. Technol. 34(20), 2829–2837.
Tehrani P.S. 2009. Efficiency of sand filter beds for the removal of bacteria from residential wastewater. MSc Thesis, The University of Guelph.
Thomas R.E., Schwartz W.A., Bendixen T.W. 1966. Soil chemical changes and infiltration rate reduction under sewage spreading. Soil Sci. Soc. Amer. Proc. 30, 641–646.
Tsoularis A., Wallace J. 2002. Analysis of logistic growth models. Mathematical Biosciences 179, 21–55.
Tufenkji N. 2007. Colloid and microbe migration in granular experiments: A discussion of modelling methods. In: Frimmel F.H., Von der Kammer F., Flemming H.-C. (Eds.) Colloidal Transport in Porous Media, 1st ed., Springer-Verlag: Berlin, Germany, pp. 119–142.
Zamani A., Maini B. 2009. Flow of dispersed particles through porous media – Deep bed filtration. J. Petrol. Sci. Eng. 69, 1–2.
Zhao L., Wei Z., Wei T. 2009. Clogging processes caused by biofilm growth and organic particle accumulation in lab-scale vertical flow constructed wetlands. J. Environ. Sci. 21, 750–757.
Zwietering M.H., Jongenburger I., Rombouts F. M., Van’t Riet, K. 1990. Modelling of the bacterial growth curve. Appl. Environ. Microb. 56(6), 1875–1881.
Valentukeviciene M. 2009. Applying backwash water in order to enhance removal of iron and ammonia from spent filters with fresh filter media. Environ. Prot. Eng. 35(3), 135–144.
Valentukeviciene M., Ignatavicius G. 2014. Improvement of phosphorus removal in the wastewater treatment. Ekologija. 60 (4), 65–72.
Vinten A.J.A., Mingelgrin U., Yaron B. 1983. The effect of suspended solids in wastewater on soil hydraulic conductivity: II. Vertical distribution of suspended solids. Soil. Sci. Soc. Am. J. 47(3), 408–412.