Filtration Mode Research Articles

Yeast Cell Cake Characterization in Alcohol Solution for Efficient Microfiltration.

Microfiltration is widely used to remove microbial cells from the fermentation broth in the downstream processing of biotechnological products. Because filtration behaviors are strongly affected by the characteristics of the microbial cell cake formed on the surface of the membrane, insights into the cake structure facilitate the design and operation of filter equipment and membranes. In the alcohol fermentation process using a yeast strain, the cake characteristics are considered to be complicated because yeast cells are strongly influenced by external factors such as filtration pressure and alcohol concentration. In this study, we evaluated the membrane filtration properties, in particular the cake characteristics of a yeast suspension containing alcohol. Microfiltration experiments were performed in the dead-end filtration mode using yeast suspensions with several ethanol concentrations (0–20 wt%) under constant pressure. Flux decline behaviors caused by yeast cake were put in a similar form for 0–15 wt% ethanol concentrations. In contrast, a severe flux decline was observed for the suspension with 20 wt% ethanol concentration. It was also observed that in the membrane filtration of yeast cells with 20 wt% ethanol concentration, the cake structure became denser and the filtration resistance remarkably increased because of cellular destruction. Furthermore, the yeast cake exhibited a high compressibility in the solution containing a 20 wt% ethanol concentration. Therefore, the filtration rate of the alcoholic fermentation broth is not significantly improved by increased pressure due to the increase in the cake resistance.

The in situ catalytic oxidation of sulfamethoxazole via peroxydisufate activation operated in a NG/rGO/CNTs composite membrane filtration.

Metal-free carbonaceous composite membranes have been proven to effectively drive novel in situ catalytic oxidation for the degradation of organic pollutants via persulfates activation. In this study, nitrogen-doped graphene (NG) was employed as a modifier to enhance the catalytic activity of the carbon mats by assembly with reduced graphene oxide (rGO) and carbon nanotubes (CNTs) on the top of a nylon supporter. The morphology and performance of the NG/rGO/CNTs composite membrane were compared to those obtained without the addition of NG (rGO/CNTs). Owing to the larger nanochannels for water delivery and stronger hydrophobicity on the surface, the NG/rGO/CNTs composite membrane shows a superior low-pressure filtration performance in favor of energy-saving operation. For the in situ catalytic oxidation of the NG/rGO/CNTs composite membrane through the activation of peroxydisufate (PDS), the average removal rate of sulfamethoxazole (SMX), one of frequently detected sulfonamide antibiotics in water, can reach 21.7 mg·m-2·h-1 under continuous filtration mode, which was 17% more rapid than that of the rGO/CNTs, resulting in significant detoxifying of the oxidation intermediates. Owing to the addition of NG into the carbon mats, the reactive nitrogen-doped sites identified by X-Ray photoelectron spectroscopy (XPS), such as pyridinic and graphitic N, played important roles in PDS activation, while both the radical and non-radical pathways were involved in in situ catalytic oxidation. According to the experimental evidence of the effects that solution environment has on the SMX removal and transmembrane pressure, the NG/rGO/CNTs composite membrane shows a relatively high resistance to changes in the solution pH, chloride ion inhibition, and background organics fouling. These results suggest a new approach to the application of activated persulfate oxidation in water treatment, such that improvements to the reaction stability warrant further investigation.

Enzymatic Cleaning Mitigates Polysaccharide-Induced Refouling of RO Membrane: Evidence from Foulant Layer Structure and Microbial Dynamics.

Traditional harsh chemical cleaning-in-place (CIP) is corrosive to membranes but has limited inhibition on refouling, a tough problem for long-term operation of reverse osmosis (RO). Mild enzymatic cleaning (at pH 9) is a promising alternative but lacks long-term verification and insightful elucidation. In this study, we investigated the instantaneous efficiency, postcleaning refouling, and biological effect of enzymatic CIP (compounded with lipase, protease, and sodium dodecyl sulfate) on practical RO membranes during a 500 h multicycle operation. The enzymatic CIP had an average cleaning efficiency of 77%, which is comparable to a commercial harsh CIP benchmark (pH > 12). It mitigated refouling by shaping the biofilm into a loose and porous architecture where newly arrived organics conformed standard blocking, whereas harsh chemicals rendered a smooth and dense gel layer with quick refouling in intermediate blocking or cake filtration mode. Such structural disparities were dominated by polysaccharides according to quantitative chemical analyses. Gene sequencing and ecological network analysis further proved that the behavior of polysaccharide-related keystone species (such as Sphingomonas and Xanthomonas) significantly changed after long-term enzymatic treatment. In this regard, the mild selective pressure of enzymatic reagents can directionally regulate microbial dynamics, alter foulant layer structure via bio-organic synchronicity, mitigate refouling, and eventually improve the sustainability of RO operation.

Performance of a Micro-Scale Membrane Reactor for Greywater Treatment at Household Level.

An aerated membrane reactor (25 L working volume) equipped with 1.5 m2 hollow-fiber module was designed and operated using synthetic greywater for household water reuse. Activated sludge (MBR), activated carbon (PAC), zeolite (ZEO) and iron hydroxide (GEH) were added in separate experiments to optimize membrane hydraulic performance and removal efficiency of organics. The use of additives improved permeate quality (in terms of Chemical Oxygen Demand—COD) compared to the direct membrane filtration mode of operation. GEH and MBR were efficient for phosphorus removal, which was not the case for PAC and ZEO. No significant improvement of membrane flux was recorded when PAC, ZEO or GEH were added inside the membrane tank. The MBR system displayed optimum performance during medium-term operation, with COD removal efficiency 85% and permeate flux between 40 and 25 L m−2 h−1. The capital costs of the proposed technology were around 300 € and the operational costs below 80 € yr−1, rendering the process feasible at household level. Greywater treatment systems for household applications are still on their infancy; however, this trend is expected to change due public perception towards circular economy, water conservation and reuse.

Experimental and computational assessment of 1,4-Dioxane degradation in a photo-Fenton reactive ceramic membrane filtration process

The present study evaluated a photo-Fenton reactive membrane that achieved enhanced 1,4-Dioxane removal performance. As a common organic solvent and stabilizer, 1,4-Dioxane is widely used in a variety of industrial products and poses negative environmental and health impacts. The membrane was prepared by covalently coating photocatalyst of goethite (α-FeOOH) on a ceramic porous membrane as we reported previously. The effects of UV irradiation, H2O2 and catalyst on the removal efficiency of 1,4-Dioxane in batch reactors were first evaluated for optimized reaction conditions, followed by a systematical investigation of 1,4-Dioxane removal in the photo-Fenton membrane filtration mode. Under optimized conditions, the 1,4-Dioxane removal rate reached up to 16% with combination of 2 mmol/L H2O2 and UV365 irradiation (2000 µW/cm2) when the feed water was filtered by the photo-Fenton reactive membrane at a hydraulic retention time of 6 min. The removal efficiency and apparent quantum yield (AQY) were both enhanced in the filtration compared to the batch mode of the same photo-Fenton reaction. Moreover, the proposed degradation pathways were analyzed by density functional theory (DFT) calculations, which provided a new insight into the degradation mechanisms of 1,4-Dioxane in photo-Fenton reactions on the functionalized ceramic membrane.

In vitro study of dual layer mixed matrix hollow fiber membranes for outside-in filtration of human blood plasma

Hemodialysis mainly removes small water-soluble uremic toxins but cannot effectively remove middle molecules and protein-bound uremic toxins. Besides, the therapy is intermittent leading to fluctuating blood values and fluid status which adversely impacts patients’ health. Prolonged hemodialysis (with adequate anticoagulation) could improve the removal of toxins and the development of portable and wearable artificial kidneys could offer more flexibility in the dialysis scheme. This would enhance patients’ overall health, autonomy, mobility and flexibility, allowing patients to participate in social and economic life. However, the time that patients’ blood is exposed to the dialyzer material is longer during prolonged hemodialysis, and blood clots could obstruct the fiber lumen, resulting in a decrease of the effective membrane surface area available for toxin removal. The outside-in filtration (OIF) mode, wherein blood flows through the inter-fiber space instead of through the fiber lumina, has been applied widely in blood oxygenators to prevent fiber clotting, but not in hemodialysis.In this study, we present for the first time the development of a mixed matrix membrane (MMM) for OIF of human blood plasma. This MMM combines diffusion and adsorption and consists of a polymeric membrane matrix with activated carbon (AC) particles on the inside layer, and a polymeric particle-free layer on the outer fiber layer. Our results show that in vitro MMM fibers for OIF demonstrate superior removal of the protein-bound uremic toxins, indoxyl sulfate and hippuric acid, compared to both earlier MMM fibers designed for inside-out filtration mode and commercial high-flux fibers. Statement of significanceCurrent hemodialysis therapy cannot effectively remove protein-bound toxins. Prolonged hemodialysis could improve toxin removal. However, during prolonged hemodialysis, blood clots could obstruct the fiber lumen, resulting in decreased effective membrane surface area available for toxin removal.We have prepared, for the first time, dual layer mixed matrix hollow fiber membranes (MMM) for outside-in filtration (OIF). The OIF mode wherein blood would flow through the inter-fiber space instead of through the fiber lumina could prevent fiber clotting. Moreover, the MMMs combine diffusion and adsorption to improve (protein-bound) toxin removal.We believe that the new design of our MMM fibers is an important contribution concerning the development of artificial kidney systems and the improvement of the health and well-being of patients with renal failure.

Sequential leaching of copper from mill tailings with aqueous solutions of hydrochloric acid and sodium hypochlorite

This work presents an investigation of kinetics of copper leaching from mill tailings with hydrochloric acid and sodium hypochlorite at room temperature in filtration mode. The concentration of hydrochloric acid and sodium hypochlorite varied from 0.05 to 0.5 M and 0.025 to 0.1 M respectively. When the samples were leached in the sequence of five-hour leaching with solutions of hydrochloric acid, and then six-hour with sodium hypochlorite, the maximum degree of copper extraction into the solution was 32.62 %. And in case of leaching samples in the inverse direction, with a solution of sodium hypochlorite for two hours, and then with hydrochloric acid for seven hours, 87.10 % of copper was extracted, which is 2.67 times more than in the previous case. It has been shown that the sequence of using reagents in leaching has a significant impact on the efficiency of copper extraction from the tailings.

Predictive model of the dam foundation deformations according to the consolidation model

The dam with two culverts on the Vyunka river has been chosen for forecasting calculations. The physical and geographical features of the research area have been explored. The information on the organization of the control system of the hydraulic structure has been studied, the mix of diagnostic indicators of the state of the hydraulic structures substantiation has been carried out. The calculated values of the coefficients of the overall the upstream and downstream slopes stability for the cases considered have exceeded the standard coefficient of stability. The criteria values of the diagnostic indicators at the project stage have been defined by analysing the calculation results with ultimate element technique using the Plaxis 2D program for filtration modes, stress-strain state, strength and stability of hydraulic structures for the main and special combinations of loads. The choice of indicators is based on assessing the possibility of monitoring their values. The influence of the type of damage and destruction of the above elements has different significance on the hydraulic structures’ safety. A predictive model of deformations of the dam base was built according to the consolidation model based on the extrapolation method. The results of the obtained model of research hydraulic stricture are given.

Optimization of transient well test technology for low permeability complex reservoir

This paper summarizes the experience of conducting hydrodynamic studies on transient filtration modes (pressure build up method) using an example of a low-permeable formation with a complex structure. Such objects are distinguished by a high degree of differentiation of reservoirs by filtration-capacitive properties, which affects the design of ongoing research. The relevance of the work is due to the need to justify the optimal research time for reservoirs with the considered properties in terms of obtaining high-precision data and minimizing oil production losses. In order to fulfill these tasks, it is urgent to develop a design for hydrodynamic research of wells. Research modeling was performed using the Kappa Saphir software product. The design will provide an integrated approach to modeling the process of conducting research and forecasting the data obtained. The design will optimize research time. Based on the calculation results, the duration of the effect of the wellbore effect and the time of the beginning of the boundary effect were analyzed. The reasons for the long exit to the pseudoradial flow regime were considered. In order to optimize the research process, an analysis of the error in determining the pressure was made, depending on the duration of the study. Taking into account the error, the optimal time for registering the PBU is proposed.

Novel housing designs for nanofiltration and ultrafiltration gravity-driven recycled membrane-based systems

Ultra-low pressure gravity-driven membrane (GDM) systems have the potential to be significantly less costly and complex than conventional membranes for water treatment applications. To build upon this inherent advantage, this study assesses the reuse of recycled membranes in GDM systems for producing drinking water. Two reverse osmosis spiral-wound modules were recycled into nanofiltration (NF)-like and ultrafiltration (UF)-like membranes via controlled exposure to free chlorine. To operate the recycled membranes, two housing devices, based on a simple fitting and an advanced end-caps design, were developed. The recycled membrane systems were tested under a range of conditions (submerged vs. external system configuration and continuous vs. intermittent filtration mode). Synthetic river water feed solutions were used in the tests where performance, fouling, and clogging were measured. NF-like recycled membranes resulted in poor salt rejection and low permeability (~1.7 L m−2 h−1 bar−1), but also in high rejection (>81%) of dissolved organic carbon. UF-like recycled membranes maintained their capacity to reject biopolymers (BP) (>74%) and featured up to 18-fold higher permeate rate than NF-like recycled membranes. The optimized operating conditions were found when the recycled membranes were housed in the end-caps device and operated intermittently (relaxation time plus forward flushing). Flushing reduced the fouling accumulation inside the membrane (only 12% and 40% of BP accumulation was observed in the NF-like and UF-like, respectively). However, the end-caps-based device was estimated to be more expensive during the economic analysis. To address this techno-economic trade-off, a decision-making tree was developed to select the appropriate configuration based upon the implementation context. Overall, this study concludes that these designs can serve as robust, low-cost (water production cost <1 USD ct. yr. L−1), and light-weight GDM alternatives. This study is beneficial for developing compact GDM systems based on recycled spiral-wound membranes for both rural areas and emergency response.

Ce/TiOx-functionalized catalytic ceramic membrane for hybrid catalytic ozonation-membrane filtration process: Fabrication, characterization and performance evaluation

A series of Ce/TiOx-functionalized catalytic ceramic membranes (CeTi-CeCCMs) were fabricated via citrate sol-gel assisted wet impregnation followed by acid-hydrolysed sol-gel dip coating method. The effect of Ce-dopant and block-copolymer P-123 on the formation of Ce-doped TiOx was investigated and optimized to fabricate a uniform Ce-doped TiOx layer with hierarchical porous structure. The modifications adopted for the CCM fabrication had a marginal effect on the clean water permeability, which is favourable towards the membrane filtration process. Meanwhile, the nanocatalysts located at the membrane outer surface and within the membrane substrate of CCM could significantly enhance the accessibility of the reactants to the catalytic sites. The as-fabricated CCMs were employed for N,N-diethyl-m-toluamide (DEET) degradation in the hybrid catalytic ozonation-membrane filtration process operating under continuous dead-end filtration mode. CeTi-CeCCM recorded a high DEET degradation and mineralization with efficient O3(aq) utilization of 1.4 g O3(aq) g−1 TOC removal. The CeTi-CeCCM also exhibited a high antifouling property in the hybrid process by retaining >92% of its initial permeability after 0.5-h operation with humic acid feed. The stability and robustness of the as-fabricated CCM were also tested with multiple filtration-cleaning cycles and using real water feed, respectively. The reactive oxygen species (ROS) quenching and radical detection experiments were conducted to determine the contribution of ROS (i.e. HO, O2− and 1O2) towards the catalytic activity. The degradation pathways of DEET were proposed and the ecotoxicity of its transformation products (TPs) was estimated. Finally, the mechanistic insights of the O3(aq) decomposition, organic pollutants degradation and mineralization by the CeTi-CeCCM were provided to address the synergistic effect of the membrane filtration and catalytic ozonation occurred in the hybrid process.

The influence of nonlinear load on the autonomous electrical network at parallel work of the active power filter

Purpose. The purpose of the article is to investigate the modes of operation of a three-phase active power filter in the composition of an autonomous electrical network when connected to a network of three-phase nonlinear load of different spectral character.Methodology. For the research, the provisions of the pq-theory of power, the theory of electrical circuits, the theory of automatic control, mathematical modeling in the Matlab package were used.Findings. The graphs and spectral composition of the mains voltage and load current have been obtained, which makes it possible to evaluate the effectiveness of using a power active filter in the filtration mode as part of an autonomous electrical network, which is a synchronous generator. Originality. The efficiency of the parallel operation of a power active filter in the filtration mode with a synchronous generator at an abruptly variable nonlinear load is proved.Practical value. The use of the proposed technique will make it possible to create a three-phase power active filter for its use in autonomous electrical networks, represented by a synchronous generator with automatic regulation of the excitation voltage.

Modification of polyvinylidene fluoride membrane by silver nanoparticles-graphene oxide hybrid nanosheet for effective membrane biofouling mitigation

Membrane biofouling poses severe impacts on the membrane lifespan and performance. In this study, a silver nanoparticles-graphene oxide hybrid nanosheet (AgNPs-GO) was synthesized as a bactericidal agent for effective membrane biofouling mitigation. The surface polymerization between polyvinyl alcohol (PVA) and AgNPs-GO nanosheet improved the stability of inorganic biocidal materials on the membrane surface and had a significant effect on the permeability and rejection performance of membranes. The PVA/AgNPs-GO modified hydrophilic polyvinylidene fluoride (H-PVDF) membrane exhibited an excellent anti-microbial activity in both static contact and filtration modes; nearly 100% inactivation of Pseudomonas aeruginosa in solution and 91% reduction in the membrane surface adhesion were found. The composite membrane with good stability and anti-microbial ability may offer an alternative to alleviate membrane biofouling problem.

Combustion of titanium and chromium powders in the co-flow of a nitrogen-argon mixture

The combustion of the titanium and chromium powders in the co-current filtration mode was considered. We considered an original equipment that allows us to study the combustion of metal powders in a co-flow gas stream. It was demonstrated that the proportion of argon in a binary gas mixture has a greater influence on the burning temperature of titanium powder than the specific flow rate of the gas mixture. It was found that the actual burning temperature of chromium in the forced filtration mode is higher than the adiabatic temperature and the phenomenon of superadiabatic heating takes place. This method has high energy efficiency and allows you to get nitrides without the use of high pressures. It was found that co-current filtration promotes the formation of Cr2N nitride.

Numerical study of the effects of pod, wand and spike type underdrain systems in pressurised sand filters

Commercial sand media filters adopt different underdrain designs, with pod, wand and spike designs being the most common. Studies about the consequences of using these configurations are often not conclusive since auxiliary elements and dimensions vary between filters. Here computational fluid dynamics (CFD) simulations were carried out comparing underdrain designs in filters with equal sized diffuser plates and same inlet, inner and outlet diameters. Seven underdrain pod-type designs were analysed ranging from a market model to one with more than 50% of pods. Designs with equal number of pods but with different spatial distributions were investigated. Two wand- and two spike-type underdrain models were also evaluated. The main variables analysed were pressure and volumetric flowrate. Results confirmed that the flow uniformity through the filter was crucial to achieve low pressure drop values. Pressure losses through the sand were the most important contribution to the filter pressure drop for all cases. The water-only region at the inlet had low relevance in terms of pressure losses. All underdrain designs had similar pressure drops at the exit collector chamber (pod-type) or pipe (wand- and spike-type). Pod-type designs with the same slot open area as wand- and spike-type configurations clearly had a better efficiency since wand- and spike-type designs had faces opposing the incoming flow. Pod- and spike-type designs with similar horizontal projected upward slot areas behaved alike in both filtration and backwashing modes, with a better performance for the spike-type configuration. Recommended spike-type designs should cover most of the filter cross-sectional area.

Impacts of using auto-mode portable air cleaner on indoor PM2.5 levels: An intervention study

“Auto-mode” portable air cleaners (PACs) designed to turn on automatically in response to elevated indoor PM2.5 concentrations are widely used in residences. This study assesses the impacts of using such PACs equipped with high-efficiency particulate air filters on residential PM2.5 levels in six households recruited in Seattle, Washington, for a randomized crossover study, in which participants used a PAC in their homes under three intervention scenarios: (1) sham-mode filtration in which all filters in the PAC were removed, (2) auto-mode filtration in which the PAC was set to auto mode, and (3) adjustable-mode filtration in which the participants were allowed to manually adjusted the PACs. Each filtration session was one-week long. PM2.5 levels were measured at 1-min intervals in the kitchen and living room of each household. Also, an hourly time-activity log was collected from each participant. The empirical concentrations and I/O ratios of PM2.5 were compared among the three filtration modes. Additionally, linear mixed-effects regression models (LMER) were developed to reveal the impacts of different filtration modes on indoor PM2.5, while controlling for outdoor PM2.5, indoor cooking events, and indoor relative humidity, and temperature. Based on the LMER models, when indoor cooking events were present and absent, auto-mode filtration significantly reduced the indoor PM2.5 levels by 31% [95% CI: 19%, 42%] and 28% [95% CI: 22%, 34%], respectively, compared with sham-mode filtration, and reduced the indoor PM2.5 levels by 19% [95% CI: 6%, 31%] and 4% [95% CI: 4%, 11%], respectively, compared with adjustable-mode filtration. These findings suggest that using such PACs running in auto mode is a practical and effective way to reduce indoor PM2.5 levels.

An Experimental Device for Studying the Solubility of Carbon Dioxide in Hydrocarbons in Wide Ranges of Working Temperatures and Pressures

A device was designed to measure the solubility of carbon dioxide in hydrocarbons at temperatures up to 473 K and pressures up to 25 MPa. It can be used to study the solubility of CO2 at state parameters that are supercritical for CO2 in the presence of a porous medium in the oil reservoir model and in the absence of it. The results of the experiments on measuring the solubility of carbon dioxide in kerosene are described using the Peng–Robinson equation of state. This technique for measuring the solubility both of CO2 in a hydrocarbon and of a hydrocarbon in CO2 in the mode of dynamic filtration in a porous medium can be applied in power engineering and machine building to study changes in the thermophysical and physicochemical properties of hydrocarbons.

Комп’ютерне прогнозування процесів «фільтрування-регенерація» швидких конусоподібних адсорбційних фільтрів з кусково-однорідними пористими завантаженнями

To predict the processes of «filtration-regeneration» of fast cone-shaped adsorption filters with piecewise homogeneous porous loads, mathematical models of their main technological modes are formed: filtration, backwashing, chemical regeneration and direct washing, taking into account the influence of temperature effects on the internal kinetics of mass transfer while maintaining constant speeds of the respective modes. Given that in the filtration mode the convective components of heat and mass transfer and physical and chemical adsorption prevail over the contribution of diffusion and physical desorption, in the chemical regeneration mode the convective components of heat and mass transfer and physical and chemical desorption prevail over the contribution of diffusion and physical adsorption. modes of reverse and direct washing convective components of heat and mass transfer and physical desorption and chemical adsorption prevail over the contribution of diffusion and physical adsorption, algorithms of numerical-asymptotic approximations of solutions of corresponding nonlinear singularly perturbed boundary value problems, bounded by given, smooth, orthogonal to each other along the edges, two equipotential surfaces and one flow surface and divided into several subregions by some given equipotential surfaces. The proposed models in the complex by taking into account the effect of changes in temperature and filtration flow rate along the filter height on the coefficients that characterize the mass transfer rates during physical and chemical adsorption and desorption, filtration coefficient, allow computer experiments to better investigate changes in impurity concentrations in filtration flow and on the surface of the loading adsorbent, retained by physical and chemical adsorption, filtration flow temperature, filtration coefficient and active porosity in each loading layer along the filter height and based on them predict more optimal use of adsorbents of each loading layer and time intervals of filters, respectively, in filtration, backwash, chemical regeneration and direct washing with constant speeds of the respective modes

Calibration of technological parameters of an electroadsorption apparatus with a fixed layer of adsorbent

This paper provides a program and algorithm for automated calibration of technological parameters of an electroadsorption apparatus with a fixed adsorbent layer. The basic physical principles that allow obtaining the necessary information about the ranges of regulation of the electric field parameters and the development of dynamics of filtration modes of the continuous gas phase flow through the adsorbent layer are described. The technological parameters obtained during calibration and their control ranges serve as the basis for implementing a program for controlling the operating modes of electroadsorption apparatuses during the current operation of technological equipment.

A finite-element study of elastic filtration in soils with thin inclusions

Soil environments are heterogeneous in their nature. This heterogeneity creates significant difficulties both in terms of construction practice and in terms of the mathematical modeling and computer simulation of the physical-chemical processes in these heterogeneous soil arrays. From the standpoint of mathematical modeling, the issue is the discontinuity of functions, which characterize the examined processes, on such inclusions. Moreover, the characteristics of such inclusions may depend on the defining functions of the processes studied (head, temperature, humidity, the concentration of chemicals, and their gradients). And this requires the modification of conjugation conditions and leads to the nonlinear boundary-value problems in heterogeneous areas. That is why this work has examined the impact of the existence of thin inclusions on the conjugation conditions for the defining functions of the filtration and geomigration processes on them. The conjugation condition for heads has also been modified while the mathematical model of an elastic filtration mode in a heterogeneous array of soil, which contains thin weakly permeable inclusions, has been improved. The improvement implies the modification of conjugation conditions for heads on thin inclusions when the filtering factor of the inclusion itself is nonlinearly dependent on the head gradient. The numerical solution to the corresponding nonlinear boundary-value problem has been found using a finite-element method. A series of numerical experiments were conducted and their analysis was carried out. The possibility of a significant impact on the head jump has been shown taking into consideration the dependence of filtration characteristics of an inclusion on head gradients. In particular, the relative difference of head jumps lies between 26 % and 99 % relative to the problem with a stable filtration factor for an inclusion. In other words, when conducting forecast calculations, the influence of such dependences cannot be neglected