A model of multicomponent grouting and suffosion filtration

Khuzhaerov, B. Kh.

doi:10.1007/bf00853459

Cited by 14 publications

(4 citation statements)

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“…The mathematical model of filtration of two-component suspensions dual-zone porous media is a generalization of the corresponding one-component model [34,[42][43][44]. The system of equations consists of balance equations for each component, Darcy's law and kinetic equations for each zone of media.…”

Section: Mathematical Model Of Two-component Suspension Filtrationmentioning

confidence: 99%

“…The solid particles suspended in the suspension can differ in their properties, that is to say, they can have different geometric, physicochemical and electrokinetic characteristics [34,38,39]. Many recent works takes into account the polydispersity of suspension [6,[40][41][42][43][44][45]. Two-component suspensions consisting of two disperse components with different concentrations and kinetic properties represent the simplest form of a multicomponent suspension.…”

Section: Introductionmentioning

confidence: 99%

“…Two-component suspensions consisting of two disperse components with different concentrations and kinetic properties represent the simplest form of a multicomponent suspension. In most cases two component suspension have been studied [41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

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A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

et al. 2020

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In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone.

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Section: Mathematical Model Of Two-component Suspension Filtrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Deep Bed Filtration Model of Two-Component Suspension in Dual-Zone Porous Medium

et al. 2020

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“…Liu et al, 2013, determined the connection between fractal volumetric size of natural soil particles and amount of organic substance and argillaceous particles. Suffusion methods are developed on the basis of classic techniques (Khuzhaerov, 1994), (Nikiforov, 2000). Research by Gudehus, & Touplikiotis, (2017) substantiates importance of the analysis of soils as natural fractals as for solving the problem of forecasting "building -soil" geotechnical system.…”

Section: ключові слова: суфозія дніпровський лесовий ґрунт фракталmentioning

confidence: 99%

Forecasting suffusion deformation in dispersive soils

Mokrytskaya¹,

Nosova²

2019

Journ. Geol., Geogr., and Geoec..

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Suffusion is a dangerous geological process accompanied by the formation of sinkholes, deformations of buildings and structures. Forecast of suffusion processes is a complex scientific problem since it is required to predict a complex process of the formation of new soil structure experiencing certain changes while interacting with the flow. Durin the period of 12.02.2018 – 13.04.2018, a sample of Dnipro loessial soil was filtered with the salt solution in Darcy device. The experi- ment was carried out at the SRI of Geology of Oles Honchar DNU; it is the continuation of the research dealing with experimental study of the dispersive soils as complex natural systems. To study suffusion process in loessial soils, analysis of microaggregate and granulometric composition of a sample of undisturbed structure of Dnipro loessial horizon taken in Tunelna ravine outcrop has been performed. The sample was studied in different states: natural and changed (due to long-term filtration) ones. Results of the use of in- novative method to determine values of the function of particle distribution in terms of their mass and calculations of fractal dimension of the function basing upon the microaggregate analysis have made is possible to forecast values of porosity coefficient and volumetric deformation corresponding to the new quality standards of a complex system – dispersive soil in the state of complete microaggregate disturbance. Algorithm of the microaggregate composition analysis according to the methodology (Riashchenko, 2010) is in the fact that the sample experiences different methods of preparation – thus, evaluations of soil dispersivity are different. Basing upon the obtained results, values of microaggregate coefficient have been calculated, and data on the number of aggregates and initial particles have been taken. It has been determined that the basic size of the aggregates is 0.01-0.005 mm; there is a fewer share of the aggregates of 0.05-0.01 mm; and the fewest share of the aggregates is represented by fine fraction. That indicates the changes in microaggregate composition of soil due to the carrying out of fine fractions and the disturbance of larger aggregates. Calculations of the values of volu- metric soil deformation due to long-term salt solution filtration emphasize the fact that within the zones of technogenic contamination, possible aggregate decay due to chemical effect will result in the formation of structure with denser particle packing, i.e. compaction. If loessial layers with the state changed due to salt solution filtration are subject to mechanical effect, drastic soil loosening and loss of soil stability may be observed.

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